{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Contents:\n", "- [Linear Regression](#Linear-Regression)\n", " - [Introduction](#Introduction)\n", " - [Normal Equation (optional clarification)](#Normal-Equation-(optional-clarification))\n", " - [Gradient Descent](#Gradient-Descent)\n", " - [Polynomial Regression](#Polynomial-Regression)\n", " - [Regularized Models](#Regularized-Models)\n", " - [Ridge Regression](#Ridge-Regression)\n", " - [Lasso Regression](#Lasso-Regression)\n", " - [Regression metrics](#Regression-metrics)\n", " - [Practice question](#Practice-question)\n", "- [Data visualization](#Data-visualization)\n", " - [Matplotlib](#Matplotlib)\n", " - [MatplotLib Basics](#MatplotLib-Basics)\n", " - [Scatter plots](#Scatter-plots)\n", " - [Histograms](#Histograms)\n", " - [Stylesheets](#Stylesheets)\n", " - [Seaborn](#Seaborn)\n", " - [Histograms, KDE, densities](#Histograms,-KDE,-densities)\n", " - [Pair plots](#Pair-plots)\n", " - [Faceted histograms](#Faceted-histograms)\n", " - [Cat plots](#Cat-plots)\n", " - [Joint distributions](#Joint-distributions)\n", " - [Violin plots](#Violin-plots)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Linear Regression" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Linear models make a prediction using a linear function of the input features. Linear regression, or ordinary least squares (OLS), is the simplest and most classic linear method for regression. Linear regression finds the parameters $\\theta$ that minimize the cost function. The cost function is the mean of the squared errors between predictions and the true regression targets of the training set. Let's apply linear regression to a simple problem." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, we will use a toy data set. `Sklearn` has a module for generating datasets. We will use it to generate a simple dataset with only one feature, and a target. \n", "\n", "Note that in this notebook, we will be importing libraries as we mention them for clarity. But good practice is to import all the libraries at the beginning of a notebook." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "from sklearn.datasets import make_regression" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "X, y = make_regression(n_samples=50, n_features=1, noise=20, bias=10, random_state=1) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With the above line of code we generated 50 samples, made of one feature and one target. With `noise` and `bias` parameters we specified the bias and the standard deviation of the gaussian noise applied to the output, meaning we introduced some noise in order not to have our generated dataset resemble a perfect line. With the parameter `random_state` fixed we just ensured that each time we ran the above line of code we would get the same output. We could have set any value, it did not have to be 1, however, if we did not specify the `random_state`, each time the noise generated would be different. In order to ensure that everybody has the same plots in this notebook, we fixed the `random_state`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using the function `type` and `shape` attribute we can see that X is a 2D numpy array, with 50 rows and 1 column:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "numpy.ndarray" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "type(X)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(50, 1)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And y is a 1D array with 50 values:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(numpy.ndarray, (50,))" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "type(y), y.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's visualize the dataset. We will use `matplotlib` library which is the primary scientific plotting library in Python. It provides functions for making line charts, histograms, scatter plots, and so on. Later on we will also use `seaborn`, just like we did in the first Notebook. `seaborn` is built on top of `matplotlib`, and provides additional functionalities and ease of use.\n", "For more details on `matplotlib` check the link: \\\n", "https://matplotlib.org/stable/api/_as_gen/matplotlib.pyplot.plot.html. \n", "\n", "A more detailed explanation of `matplotlib` and `seaborn` libraries will be given in the next section of the notebook." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'A simple dataset')" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(5,5))\n", "plt.scatter(X, y, marker=\"x\")\n", "plt.xlabel('$x_1$', fontsize=12)\n", "plt.ylabel('$y$', rotation=0, fontsize=12)\n", "plt.xlim(-1, 2)\n", "plt.title('A simple dataset')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So, in the above cell we defined the size of the plot with `figsize`, we drew a scatter plot with `scatter`, defined x and y- label with `xlabel` and `ylabel`, defined that the x-axis should be between -1 and 2 with `xlim` and set the plot title with `title`." ] }, { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "Now let's use Linear Regression to find the line that fits our data the best. Recall that the *best* means that the values of the parameters minimize the mean of the squared errors for the training dataset, which in our case will be X, y." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "from sklearn.linear_model import LinearRegression\n", "lr = LinearRegression().fit(X, y)" ] }, { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "Now, let's look at what we did with in the above cell.\n", "Method `fit` for `sklearn` models, fits the training data, meaning it uses the training data to train the model, i.e., to estimate the model parameters from the training data. For supervised learning applications, it accepts two arguments: the data X and the labels y, for unsupervised: accepts only a single argument, data X. \n", "\n", "Hence with stating `LinearRegression().fit(X, y)` we fitted a linear regression model to our data, meaning we used our 50 data points to find the values of $\\theta$ such that the value of the cost function will be the smallest for these 50 points. The cost function is the mean of errors, between the true values, $y_i$, and the estimated values of $\\hat{y_i}=\\theta_0+ \\theta_1*x_{1i}$, where $i$ will be range from 1 to 50. \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The value of the estimated parameter $\\theta_1$, also called weight or coefficient, is stored in the `coef_` attribute, while the intercept $\\theta_0$ is stored in the `intercept_` attribute of the `LinearRegression` object. We have only coefficients $\\theta_0$ and $\\theta_1$ as we only have 1 feature in our dataset. Let's see the values of $\\theta$ found in training:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "lr.coef_ is [86.01397082]\n", "lr.intercept_ is 14.368884903267741\n" ] } ], "source": [ "print('lr.coef_ is' , lr.coef_)\n", "print('lr.intercept_ is ', lr.intercept_)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you might notice, there is an underscore at the end of `coef_` and `intercept_`. `scikit-learn` always stores anything that is derived from the training data in attributes that end with a trailing underscore. This is done is to separate these learnt parameters from the parameters that are set by the user.\n", "The `intercept_` attribute is always a single float number, while the `coef_` attribute is a numpy array with one entry per input feature. As we only have a single input feature, `lr.coef_` only has a single entry." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's plot the model we obtained.\n", "First for the values of the x that we have on the plot, let's calculate their predicted value as:\n", "\n", "$\\hat{y}= \\theta_0 + \\theta_1 x_1$" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "y_pred = lr.intercept_ + lr.coef_[0] * X" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "However, instead of doing this manually, we could simply use the `predict` function of sklearn's models, which now takes only X as input:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "y_pred=lr.predict(X)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(5,5))\n", "plt.scatter(X, y, marker=\"x\", color='blue', label='data points')\n", "plt.xlabel('$x_1$', fontsize=12)\n", "plt.ylabel('$y$', rotation=0, fontsize=12)\n", "plt.plot(X, y_pred, label='linear model', color='green')\n", "\n", "plt.vlines(X[9], y[9], y_pred[9], color='red', label='error')\n", "plt.xlim(-1, 2)\n", "plt.title('A simple dataset')\n", "plt.legend(loc=\"lower right\", fontsize=10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Above, in color blue, we plotted the true values of *y* (our data points). In green, we plotted the predicted values, *y_pred* (linear model). And in red we showed the error for one data point, point with index $9$, where in red we see the distance between the true value y[9] and the predicted value, y_pred[9]." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "While we have manually constructed the above plot, we could have also used sklearn's PredictionErrorDisplay visualization. This tool can display “actual vs predicted” and “residuals vs predicted” error using scatter plots to visualize the prediction error of a regression model." ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.metrics import PredictionErrorDisplay\n", "fig, axes = plt.subplots(1, 2, figsize=(8, 4))\n", "PredictionErrorDisplay.from_estimator(lr, X, y, ax=axes[0], kind=\"actual_vs_predicted\")\n", "PredictionErrorDisplay.from_estimator(lr, X, y, ax=axes[1], kind=\"residual_vs_predicted\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By default, the `scikit-learn` library calculates the optimal parameters of linear regression models using the closed form solution, which we will see below, but the Gradient Descent, which scales better for large datasets, would also work." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Normal Equation (optional clarification)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- **Ordinary Least Squares (OLS)**: Method that finds the values of the parameters (coefficients) that minimize the mean of squared differences between the observed and predicted values (i.e., the mean of squared residuals or the cost function).\n", "- **Normal Equation**: Direct formula to compute the coefficients." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To optimal value of parameters (coefficients) $\\theta$ are those that minimize the cost function: mean of squared differences between the observed and predicted values. Mathematically, for the case of our dataset with a single feature, this is expressed as minimizing the following objective function:\n", "\n", "\n", "\\begin{equation}\n", "\\frac{1}{m}\\sum_{i=1}^{m} (y_i - (\\theta_0 + \\theta_1 x_i))^2 = \\frac{1}{m}\\sum_{i=1}^{m} (y_i - \\hat{y_i})^2\n", "\\end{equation}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In vector form, $y$ (observed) and $\\hat{y}$ (predicted) can be represented as follows:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\\begin{array}{cc}\n", "y=\\begin{bmatrix} y_0 \\\\ y_1 \\\\ \\vdots \\\\ y_m \\end{bmatrix} &\n", "X\\theta = \\hat{y} = \\begin{bmatrix} \\hat{y_0} \\\\ \\hat{y_1} \\\\ \\vdots \\\\ \\hat{y_m} \\end{bmatrix}\n", "\\end{array}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$X\\theta$ represents the predicted values of the dependent variable based on the linear regression model. It's a matrix multiplication where $X$ contains the data points (in rows), each one represented with n features, and $\\theta$ contains the model parameters/coefficients." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How can the objective function be expressed with vectors? The observed and predicted values must be subtracted first:\n", "\n", "\\begin{equation}\n", "y - X\\theta\n", "\\end{equation}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the square of a vector/matrix is not equal to the square of each of its values, but a matrix is multiplied by its transpose. The final equation derived, which is equivalent to the original objective function, is as follows:\n", "\n", "\\begin{equation}\n", "(y - X\\theta)^T\\cdot(y - X\\theta)\n", "\\end{equation}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After computing the partial derivative of this cost function with respect to $\\theta$ and equating it to 0 to find the value of $\\theta$ that minimizes it, the *closed-form solution* —i.e., a mathematical equation that gives the result directly without the need for an iterative optimization process— is finally obtained. This is called the *Normal Equation*:\n", "\n", "\\begin{equation}\n", "\\hat{\\theta} = (X^T\\cdot X)^{-1}\\cdot X^T\\cdot y\n", "\\end{equation}\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Recall that the linear regression with the case of n features predicts the value as $\\hat{y}= \\theta_0 + \\theta_1 x_1 +\\ldots +\\theta_n x_n$. \\\n", "The value of the intercept $\\theta_0$ multiplies the constant 1, not some feature (x). So, in the matrix equation above, the first column of the matrix X is the value 1 which multiplies the intercept." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we will import `numpy`, which is one of the fundamental packages for scientific computing in Python. It contains functionality for multidimensional arrays, high-level mathematical functions such as linear algebra operations.\n", "\n", "We will use the `inv()` function from NumPy’s Linear Algebra module (`np.linalg`) to compute the inverse of a matrix, and the `dot()` method for matrix multiplication:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now before we calculate using normal equation, we need to add the column of ones to our X, as explained above (as column of 1s multiplies the intercept). We will do this with numpy's function `c_` which concatenates, in our case, a column of all 1s with our X. Note that we did not have to do this for Linear Regression, this will be done by default." ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([14.3688849 , 86.01397082])" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_b = np.c_[np.ones((50, 1)), X] \n", "theta_best = np.linalg.inv(X_b.T.dot(X_b)).dot(X_b.T).dot(y)\n", "theta_best" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How do values these values of $\\theta$ compare with the ones obtained using `sklearn`? " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Gradient Descent" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Gradient Descent is an optimization algorithm capable of finding values that minimize a function. The general idea of Gradient Descent is to update parameters iteratively in order to minimize a cost function." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\\begin{equation}\n", "\\theta^{(new)} = \\theta^{(old)} - \\alpha\\nabla_\\theta\\mbox{J}(\\theta)\n", "\\end{equation}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us breakdown the formula above. For each iteration:\n", "\n", "- $\\theta^{(new)}\\$: updated estimate of parameters/coefficients\n", "\n", "- $\\theta^{(old)}\\$: current estimate of parameters/coefficients\n", "\n", "- $\\alpha\\$: this is the learning rate that determines the size of the step taken during each iteration of the optimization process. A smaller learning rate makes the algorithm more stable but might require more iterations, while a larger learning rate can speed up convergence but might cause overshooting.\n", "\n", "- $\\nabla_\\theta\\mbox{J}(\\theta)$: the gradient/derivative of the cost function with respect to the parameters 𝜃\n", "\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The cost function that is being minimized is the Mean Squared Error (MSE). \n", "\n", "For a selected learning rate, this begins by randomly initializing the values for the coefficients/parameters, and computing the gradient/derivative (slope at that point) for those coefficients/parameters. \n", "\n", "Subsequently, the learning rate is multiplied by the gradient and this is called the step size. After subtracting the current coefficients by the step size, the new coefficients are obtained. \n", "\n", "And this is repeated until convergence or the maximum number of iterations set is reached (finding global minimum is not guaranteed in non-convex cases).\n", "\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below is an implementation of gradient descent. We want to keep track of the cost function and the coefficients throughout the iterations, hence we will store these values in each iteration in a list (one list for the value of the cost function, one list for the value of $\\theta_0$ and for the values of $\\theta_1$). We will fix the number of iterations to 1000, and start by using randomly initialized values of $\\theta_0$ and $\\theta_1$.\n", "\n", "If we only had a simple case of a cost function $(y-\\theta x)^2$, with a single data point (and ignoring just for illustration $\\theta_0$) then the derivative of this function with respect to $\\theta$ would be $-2x(y-\\theta x)$. Now, the gradient formula used below is just a more complex version of this formula (when we have $m$ data points, meaning $y$ is a vector, and we have both $\\theta_0$ and $\\theta_1$ ), no need to go into details or memorize it. We will use it below just to visualize how the gradient descent algorithm works." ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [], "source": [ "theta = np.random.randn(2,1) # random initialization" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [], "source": [ "cost_lst=[]\n", "theta_0=[]\n", "theta_1=[]\n", "# alpha is our learning rate\n", "alpha = 0.1\n", "n_iterations = 1000\n", "# m is the number of instances, we will determine this from the number of rows of our X_b (X with an added column of all 1s)\n", "m = X_b.shape[0]\n", "theta = np.random.randn(2,1) # random initialization\n", "for iteration in range(n_iterations):\n", " gradients = -2/m * X_b.T.dot(np.vstack(y) -X_b.dot(theta)) \n", " theta = theta - alpha * gradients\n", " cost=1/m*((np.vstack(y)-X_b.dot(theta))**2).sum()\n", " cost_lst.append(cost)\n", " theta_0.append(theta[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How do values these values of $\\theta$ compare with the one obtained using normal equation? " ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[14.3688849 ]\n", " [86.01397082]]\n" ] } ], "source": [ "print(theta)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's visualize what is happening with the value of the cost function with each new iteration of the gradient descent. In each iteration, we have a possibly different value of the parameter." ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(5,5))\n", "plt.scatter(theta_0, cost_lst, marker=\"x\", label='cost')\n", "# To write correctly the math expression $theta_0)$, we use the prefix r\n", "plt.xlabel(r'$\\theta_0$', fontsize=12)\n", "plt.ylabel('cost', rotation=0, fontsize=12)\n", "plt.title(r'Estimates of $\\theta_0$ during iterations of gradient descent')\n", "plt.legend(loc=\"upper right\", fontsize=10);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- Now, adapt the code to visualize what happens to $\\theta_1$.\n", "- Try rerunning the algorithm, as each time the initial value of $\\theta$ will be different.\n", "- Try changing the number of iterations." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Recall the discussion on the shape of the cost function, convex vs non-convex.\n", "Is it always guaranteed that the gradient descent will arrive at the solution given a sufficient number of iterations?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that here we set the value of the learning rate to 0.1. Would the results be different if we had chosen some different value? \n", "\n", "Let's test. \n", "\n", "First we will put all the code above into one function, with the learning rate as a parameter. Also, we will not only plot the values of $\\theta$, but we will also show the line connecting the estimate from one iteration with the estimate of the next iteration, to see the changes from one iteration to another." ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [], "source": [ "def plot_cost(alpha, X_b, y):\n", " cost_lst=[]\n", " theta_0=[]\n", " theta_1=[]\n", " n_iterations = 1000\n", " m, n = X_b.shape \n", " theta = np.random.randn(n,1) # random initialization\n", " for iteration in range(n_iterations):\n", " gradients = -2/m * X_b.T.dot(np.vstack(y) -X_b.dot(theta) ) \n", " theta = theta - alpha * gradients\n", " cost=1/m*((np.vstack(y)-X_b.dot(theta))**2).sum()\n", " cost_lst.append(cost)\n", " theta_0.append(theta[0])\n", " fig = plt.figure(figsize=(5,5))\n", " plt.plot(theta_0, cost_lst, marker=\"x\", label='cost')\n", " plt.xlabel(r'$\\theta_0$', fontsize=12)\n", " plt.ylabel('cost', rotation=0, fontsize=12)\n", " # To write correctly the math expression $theta_0)$, we use the prefix r, \n", " # To write the value of variable alpha, we write it inside the the curly braces and use the prefix f\n", " plt.title(fr'The value of the cost function vs the values of $\\theta_0$ during iterations of gradient descent for learning rate = {alpha}')\n", " plt.legend(loc=\"upper right\", fontsize=10)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Not let's visualize the plot with $\\alpha$ = 0.1" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_cost(0.1, X_b, y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How about a lower value, like $\\alpha$ = 0.01?" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_cost(0.01, X_b, y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How about a higher value like $\\alpha$=1?" ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_cost(1, X_b, y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How long did it require to get to the optimal solution in each case?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, how let's discuss the choice for the number of iterations.\n", "\n", "How did we know in advance that the algorithm would arrive at the solution for that number of iterations? If we had chosen a much lower number, we could still be far away from the optimal solution when the algorithm stops, but if we set the value too high, we might waste time while the model parameters do not change anymore. A simple solution is to set a very large number of iterations, but to interrupt the algorithm when the gradient vector becomes tiny, that is, when its norm becomes smaller than a tiny\n", "number $\\epsilon$ (called the tolerance), because this happens when Gradient Descent has (almost) reached the minimum.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here is another illustration of gradient descent from \"Machine Learning Refined: Notes, Exercises, and Jupyter notebooks\", by Jeremy Watt, Reza Borhani, Aggelos K. Katsaggelos. The link to this and many other interesting exercises: \\\n", "https://github.com/jermwatt/machine_learning_refined\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![gradientUrl](https://raw.githubusercontent.com/neonwatty/machine-learning-refined-readme-gifs/main/gifs/normalized_gradient_descent.gif)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Important note:\n", "\n", "In this simple case we only had one feature. When we start adding more features, it is important that they are of the *same scale*, for example, we could have one variable like annual salary on the scale of thousands, and a variable like a fraction, on the scale of 0 to 1. If we directly apply gradient descent on such a dataset, this could lead to problems in the convergence to the global minima,\n", "\n", "Illustrated in: https://github.com/neonwatty/machine-learning-refined/blob/main/notes/3_First_order_methods/3_6_Problems.ipynb\n", "\n", "One of the advantages of linear regression is its interpretability. We can compare the impact of each feature by comparing its coefficients. Having features of different scales makes it impossible to compare their importance using coefficient. This is another reason for scaling the features.\n", "\n", "We will see more examples of this later on." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, why did we bother going into details of gradient descent, when we have a closed form solution that directly provides the coefficients that minimize the cost function, and even better, `sklearn` does the whole job of estimating the model parameters for us, with one line of code?\n", "\n", "Well, in the case of linear regression, our cost function is convex (guaranteed convergence to global minimum), but we are not so lucky with neural networks. When training a neural network (non-convex cost functions, and thus the global minimum may not be achieved), we will use a version of gradient descent and for that, we will need to understand the basics of the algorithm, how to choose the number of iterations and the value of the learning rate. And these concepts are easier to analyze for the simpler case of linear regression." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Polynomial Regression" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What if our data is actually more complex than a simple straight line? \n", "\n", "Surprisingly, we can actually use a linear model to fit nonlinear data. A simple way to do this is to add functions of each feature as new features, then train a linear model on this extended set of features. If the function that we are using is polynomial, then this technique is called Polynomial Regression." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's set the value of `numpy` random seed to a fixed value, to guarantee the same values for each execution." ] }, { "cell_type": "code", "execution_count": 79, "metadata": {}, "outputs": [], "source": [ "import numpy.random as rnd\n", "\n", "np.random.seed(42)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let’s look at an example. First, let’s generate some nonlinear data, based on a simple\n", "quadratic equation:\n", "\n", "$y=2+x+0.5x^2+\\epsilon$.\n", "\n", "Now we know the ground truth, i.e., that the true value of our parameters is: $\\theta_0=2$, $\\theta_1=1$ and $\\theta_2=0.5$." ] }, { "cell_type": "code", "execution_count": 81, "metadata": {}, "outputs": [], "source": [ "m = 50\n", "# Let's some values of X, and sort them\n", "X = 6 * np.random.rand(m, 1) - 3\n", "X.sort(axis=0)\n", "# Let's now calculate y, by adding some noise to the true values\n", "y = 0.5 * X**2 + X + 2 + np.random.randn(m, 1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Check the shape of our data." ] }, { "cell_type": "code", "execution_count": 83, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(50, 1)" ] }, "execution_count": 83, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X.shape" ] }, { "cell_type": "code", "execution_count": 84, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(50, 1)" ] }, "execution_count": 84, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's plot and see our data." ] }, { "cell_type": "code", "execution_count": 86, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(3,3))\n", "plt.plot(X, y, \"b.\")\n", "plt.xlabel(\"$x_1$\", fontsize=12)\n", "plt.ylabel(\"$y$\", rotation=0, fontsize=12)\n", "plt.axis([-3, 3, 0, 10])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Clearly, a straight line will never fit this data properly. So let's use `scikit-Learn`'s `PolynomialFeatures` class to transform our training data, adding the square (2nd-degree polynomial) of our single feature in the training set as a new feature." ] }, { "cell_type": "code", "execution_count": 88, "metadata": {}, "outputs": [], "source": [ "#Generate a new feature matrix consisting of all polynomial combinations of the features with degree less than or equal to the specified degree. \n", "from sklearn.preprocessing import PolynomialFeatures\n", "poly_features = PolynomialFeatures(degree=2, include_bias=False)\n", "X_poly = poly_features.fit_transform(X)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What did we just do?\n", "`sklearn` objects can be `models` and `transformers`. `LinearRegression` is a `model` and `PolynomialFeatures` is a transformer. As the name suggests, models are used to make prediction and transformers are for preprocessing before modeling. `Transformers` have the following methods:\n", "- `fit` method, which learns model parameters from the training set,\n", "- `transform` method which applies this transformation model to unseen data.\n", "- `fit_transform` may be more convenient and efficient for modeling and transforming the training data simultaneously." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Check the dimension of our original data, and the one after adding the quadratic term. Note that we specified that we did not need `PolynomialFeatures`to add us a column of all 1s (with `include_bias=False`), as Linear Regression will do that." ] }, { "cell_type": "code", "execution_count": 91, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(50, 1)\n", "(50, 2)\n" ] } ], "source": [ "print(X.shape)\n", "print(X_poly.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "X_poly now contains the original feature of X plus the square of this feature. Let's confirm this by looking at the first element, calculate its square and compare to the second element of our new extended dataset X_poly." ] }, { "cell_type": "code", "execution_count": 93, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([-2.87649303]), array([8.27421218]), array([-2.87649303, 8.27421218]))" ] }, "execution_count": 93, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X[0], X[0]**2, X_poly[0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that here we only had a single feature, so with this transformer we only added one additional feature, its square. In case of two input features, the degree-2 polynomial features are [$1$, $x_1$, $x_2$, ${x_1}^2$, $x_1 x_2$, ${x_2}^2$], meaning we would also have interaction features $x_1 x_2$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can fit a LinearRegression model to this extended training data:" ] }, { "cell_type": "code", "execution_count": 96, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
LinearRegression()
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" ], "text/plain": [ "LinearRegression()" ] }, "execution_count": 96, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lin_reg = LinearRegression()\n", "lin_reg.fit(X_poly, y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's check the values of estimated parameters and compare them to the true ones: $y=2+x+0.5x^2+\\epsilon$" ] }, { "cell_type": "code", "execution_count": 98, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([2.05993771]), array([[1.02636703, 0.48218467]]))" ] }, "execution_count": 98, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lin_reg.intercept_, lin_reg.coef_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's visualize how does this model capture our data. \n", "For each of the values of the x that we have on the plot, let's calculate their predicted value as:\n", "\n", "$\\hat{y}= \\theta_0 + \\theta_1 x_1 + \\theta_2 x_2$" ] }, { "cell_type": "code", "execution_count": 100, "metadata": {}, "outputs": [], "source": [ "y_pred_1=lin_reg.intercept_ + X_poly.dot(lin_reg.coef_.T) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Or we could simply use the `predict` method of the model:" ] }, { "cell_type": "code", "execution_count": 102, "metadata": {}, "outputs": [], "source": [ "y_pred=lin_reg.predict(X_poly)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Method `predict`, as the name suggests predicts the label of a new set of data. This method accepts one argument, the data for which to make prediction and returns the learned label for each object in the array. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's confirm that these two lines have the same output (calculating on our own and using `predict`). Let's count the number of equal points (total number of points is 50)" ] }, { "cell_type": "code", "execution_count": 105, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "50" ] }, "execution_count": 105, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(y_pred_1==y_pred).sum()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's visualize our model." ] }, { "cell_type": "code", "execution_count": 107, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(5,5))\n", "plt.scatter(X, y, marker=\"x\", label='data points')\n", "plt.xlabel('$x_1$', fontsize=18)\n", "plt.ylabel('$y$', rotation=0, fontsize=12)\n", "plt.plot(X, y_pred, label='polynomial model', color='green')\n", "plt.legend(loc=\"upper left\", fontsize=10);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What if we increase the number of degrees of a polynomial model?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's put all the relevant code in a function with the degree of a polynomial as an argument." ] }, { "cell_type": "code", "execution_count": 110, "metadata": {}, "outputs": [], "source": [ "from sklearn.preprocessing import StandardScaler" ] }, { "cell_type": "code", "execution_count": 111, "metadata": {}, "outputs": [], "source": [ "def plot_polynomial(deg, X,y):\n", " poly_features = PolynomialFeatures(degree=deg, include_bias=False)\n", " X_poly = poly_features.fit_transform(X)\n", " X_scaled=StandardScaler().fit_transform(X_poly)\n", " lin_reg = LinearRegression()\n", " lin_reg.fit(X_scaled, y)\n", " y_pred = lin_reg.predict(X_scaled)\n", " \n", " fig = plt.figure(figsize=(5,5))\n", " plt.scatter(X, y, marker=\"x\", label='data points')\n", " plt.xlabel('$x_1$', fontsize=12)\n", " plt.ylabel('$y$', rotation=0, fontsize=12)\n", " plt.plot(X, y_pred, label=f'Polynomial model of degree {deg}', color='green')\n", " plt.legend(loc=\"upper left\", fontsize=8)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you might have noticed, we have sneaked an additional step in the above function: *scaling*.\n", "Recall from the discussion above the importance of features being on the same scale, now think about the range of values that one variable can take and that same variable to the power of 2, or 5, or 100!\n", "Dealing with different scales makes the problem much more difficult, hence before training the model, we scale the data. In this case we are using `StandardScaler` which sets the mean to zero, and variance to one. We will explore the different ways of scaling later on, but for now we will apply this scaler to transform our data.\n", "\n", "Also notice how in each stage, we transform the data and feed it into the subsequent stage. Later on we will introduce a more efficient way of doing this: `pipelines`, but for now we just leave it as it is." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, what if we use only a simple linear model, no ploynomial features. Let's use the above function to visualize this." ] }, { "cell_type": "code", "execution_count": 114, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_polynomial(1, X,y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How about if we use a degree 100?" ] }, { "cell_type": "code", "execution_count": 116, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_polynomial(100, X,y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Analyze the above plots, and the original plot, degrees 1, 2 and 100.\n", "- Which model would have lower error with training data, data that was used to train the model?\n", "- Which model is too simple?\n", "- Which model generalizes better? Which model would make smaller error when predicting for a new, unseen data point?\n", "- Which model is underfitting, which is overfitting?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, let's generate some more datapoints with the same formula. These datapoints are therefore coming from the same distribution as our original dataset. This time, we will just change the seed for generating numbers, in order not to get the same values as in the original dataset." ] }, { "cell_type": "code", "execution_count": 119, "metadata": {}, "outputs": [], "source": [ "np.random.seed(0)\n", "m = 50\n", "X_test = 6 * np.random.rand(m, 1) - 3\n", "X_test.sort(axis=0)\n", "y_test = 0.5 * X**2 + X + 2 + np.random.randn(m, 1)" ] }, { "cell_type": "code", "execution_count": 120, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "((50, 1), (50, 1))" ] }, "execution_count": 120, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X.shape, X_test.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, let's run a loop, and for each value of a degree, we will train the model on the training data, and then use the same model to predict the training points target, and to predict the target of the new datapoints. These new data points are our *test set*, data not used in the training, yet data for which we actually know the true outcome (y_test).\n", "\n", "Both for training and test set, we will calculate the difference between the predicted value of y and the true value of y. " ] }, { "cell_type": "code", "execution_count": 122, "metadata": {}, "outputs": [], "source": [ "max_degree=20\n", "error_test_lst=[]\n", "error_train_lst=[]\n", "\n", "for deg in range(1,max_degree):\n", " \n", " poly_features = PolynomialFeatures(degree=deg, include_bias=False)\n", " scaler=StandardScaler()\n", " lin_reg = LinearRegression()\n", " \n", " X_poly = poly_features.fit_transform(X)\n", " X_scaled=scaler.fit_transform(X_poly)\n", " lin_reg.fit(X_scaled, y)\n", " y_pred_train=lin_reg.predict(X_scaled) \n", " error_train=1/len(y)*((y-y_pred_train)**2).sum()\n", " error_train_lst.append(error_train)\n", " \n", " X_poly_test = poly_features.transform(X_test)\n", " X_scaled_test=scaler.transform(X_poly_test)\n", " y_pred_test=lin_reg.predict(X_scaled_test)\n", " error_test=1/len(y_test)*((y_test-y_pred_test)**2).sum()\n", " error_test_lst.append(error_test)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before we visualize the results, we need to notice something **very important** in a machine learning pipeline.\n", "The model is trained on the training data, and the training data only. This data is used to find the parameters of the scaler, and the model, using the method `fit`. **No fitting is done on the test set**, only `transform` of the data using the known model parameters, models learned in the training stage. This way, there is **no data leakage** and we can get **independent evaluation of the model**. Again, once we start using `pipelines` the code will be much cleaner, and less repetitive." ] }, { "cell_type": "code", "execution_count": 124, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(5,5))\n", "plt.plot(range(1,max_degree), error_train_lst, marker=\"x\", label='Training error', color='blue')\n", "plt.plot(range(1,max_degree), error_test_lst, marker=\"x\", label='Test error', color='red')\n", "plt.xlabel('Degrees of the polynomial model')\n", "plt.ylabel('Error')\n", "plt.legend(loc=\"upper right\", fontsize=10);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What can we conclude from the plot above? What is happening with the training error and what is happening with the test error? " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This brings us to discussion of regularized models." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Regularized Models" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One way to reduce overfitting is to regularize the model: the fewer degrees of freedom, i.e., coefficients it has, the harder it will be for it to overfit the data. For example, a simple way to regularize a polynomial model is to reduce the number of polynomial degrees.\n", "For a linear model, regularization is typically achieved by constraining the weights of the model. There are different ways of doing this, the popular ones are: Ridge Regression and Lasso Regression." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Ridge Regression" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ridge Regression is a regularized version of Linear Regression, it adds a factor of sum of squares of coefficients in the optimization objective. Thus, Ridge regression minimizes the following: \\\n", "Cost function = MSE($\\theta$) + $\\alpha$ * (sum of square of coefficients) \\\n", "Here, $\\alpha$ is the parameter which balances the amount of emphasis given to minimizing the original cost function vs minimizing sum of square of coefficients. Note only coefficients $\\theta_1$ onwards are minimized, not the intercept term.\n", "\n", "The additional penalty term forces the learning algorithm to not only fit the data but also keep the model weights as small as possible. Note that the regularization term should only be added to the cost function during training. Once the model is trained, we need to evaluate the model’s performance using the unregularized performance measure. Ridge regression is implemented in `linear_model.Ridge`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will illustrate the effect of the penalty term on the cost function using a simple dataset." ] }, { "cell_type": "code", "execution_count": 132, "metadata": {}, "outputs": [], "source": [ "np.random.seed(1) #Setting seed for reproducibility\n", "\n", "# Define input array with angles from 60 deg to 300 deg converted to radians\n", "X = np.array([i*np.pi/180 for i in range(60,300,4)])\n", "# Generate y by adding normal noise with mean 0, and standard deviation 0.35 to the sine of X\n", "y = np.sin(X) + np.random.normal(0,0.35,len(X))\n", "X = np.vstack(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Check the shape of our X and y." ] }, { "cell_type": "code", "execution_count": 134, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(60, 1)\n", "(60,)\n" ] } ], "source": [ "print(X.shape)\n", "print(y.shape)" ] }, { "cell_type": "code", "execution_count": 135, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(5,5))\n", "plt.plot(X,y,'.')\n", "plt.xlabel(\"$x$\", fontsize=14)\n", "plt.ylabel(\"$y$\", fontsize=14);" ] }, { "cell_type": "code", "execution_count": 136, "metadata": {}, "outputs": [], "source": [ "from sklearn.linear_model import Ridge" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We adapt the code used above, to add polynomial functions of the input feature, scale the features, and train the model, but this time we use Ridge regression." ] }, { "cell_type": "code", "execution_count": 138, "metadata": {}, "outputs": [], "source": [ "from IPython.display import display" ] }, { "cell_type": "code", "execution_count": 139, "metadata": {}, "outputs": [], "source": [ "def plot_ridge(X,y, alpha_value):\n", "\n", " poly_features = PolynomialFeatures(degree=20, include_bias=False)\n", " scaler = StandardScaler()\n", " ridge = Ridge(alpha=alpha_value)\n", " \n", " X_poly = poly_features.fit_transform(X)\n", " X_scaled=scaler.fit_transform(X_poly)\n", " ridge.fit(X_scaled, y)\n", " y_pred = ridge.predict(X_scaled)\n", " error = 1/len(y_pred)*((y-y_pred)**2).sum()\n", " \n", " fig = plt.figure(figsize=(5,5))\n", " plt.plot(X,y,'.', label='true values')\n", " plt.plot(X,y_pred, label='model', color='green')\n", " plt.xlabel(\"$x$\", fontsize=14)\n", " plt.ylabel(\"$y$\", fontsize=14)\n", " plt.legend(loc=\"lower left\", fontsize=10)\n", " print('Training error is' , error)\n", " print('Intercept estimate is ', ridge.intercept_)\n", " display('Estimate of the coefficients:', (ridge.coef_) )\n", " return ridge.coef_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's now run the code with, putting the importance of the penalty function very low, meaning we set the penalty importance parameter $\\alpha$ to a low value." ] }, { "cell_type": "code", "execution_count": 141, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training error is 0.09283886367791123\n", "Intercept estimate is 0.017343773951509246\n" ] }, { "data": { "text/plain": [ "'Estimate of the coefficients:'" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "array([-1.34875561e+01, 6.39004555e+01, -1.06706371e+02, 5.22281648e+01,\n", " 3.56543704e+01, -3.57720296e+01, -3.49326597e+01, 1.40165149e+01,\n", " 4.70064094e+01, 3.76300506e+01, 8.09031317e-02, -3.69557474e+01,\n", " -5.20439108e+01, -3.93954511e+01, -7.21005021e+00, 2.84518558e+01,\n", " 5.03247476e+01, 4.52980532e+01, 8.05662836e+00, -5.67716229e+01])" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "alpha_s = 1e-7\n", "ridge_small = plot_ridge(X,y, alpha_s)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now putting more importance on the penalty function." ] }, { "cell_type": "code", "execution_count": 143, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training error is 0.09313561259254435\n", "Intercept estimate is 0.017343773951485\n" ] }, { "data": { "text/plain": [ "'Estimate of the coefficients:'" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "array([ -7.20830426, 25.03050968, -14.91467485, -21.6550451 ,\n", " -4.84816293, 12.89261424, 19.99447386, 15.50174527,\n", " 4.09466771, -8.20958706, -16.64218054, -18.73130422,\n", " -14.32930638, -5.12146098, 6.02500115, 15.66926233,\n", " 20.27705694, 16.55656246, 1.66740829, -26.66875277])" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "alpha_m = 1e-5\n", "ridge_medium = plot_ridge(X,y, alpha_m)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And now with a high value." ] }, { "cell_type": "code", "execution_count": 145, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training error is 0.11603514268375476\n", "Intercept estimate is 0.017343773951479746\n" ] }, { "data": { "text/plain": [ "'Estimate of the coefficients:'" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "array([-2.60775041e-01, -2.24066605e-01, -1.73140374e-01, -1.22413509e-01,\n", " -7.89036533e-02, -4.45122604e-02, -1.86699936e-02, 6.00333767e-05,\n", " 1.32211242e-02, 2.21674702e-02, 2.79871603e-02, 3.15148702e-02,\n", " 3.33740715e-02, 3.40231610e-02, 3.37960270e-02, 3.29346167e-02,\n", " 3.16138658e-02, 2.99602648e-02, 2.80654578e-02, 2.59960988e-02])" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "alpha_h = 10\n", "ridge_high = plot_ridge(X,y, alpha_h)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What is happening with the parameters as we keep increasing the value of $\\alpha$? We can visualize this." ] }, { "cell_type": "code", "execution_count": 147, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(ridge_small, 's', label=f\"Ridge {alpha_s}\")\n", "plt.plot(ridge_medium, '^', label=f\"Ridge {alpha_m}\")\n", "plt.plot(ridge_high, 'v', label=f\"Ridge {alpha_h}\")\n", "plt.xlabel(\"Coefficient index\")\n", "plt.ylabel(\"Coefficient magnitude\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, the x-axis enumerates the entries of `coef_`: x=0 shows the coefficient associated with the first feature, x=1 the coefficient associated with the second feature, and so on up to x=20. The y-axis shows the numeric values of the corresponding values of the coefficients. The main takeaway here is that for very small values of $\\alpha$ (blue squares), the coefficients are very large. The coefficients for the Ridge model with a slightly higher $\\alpha$ are somewhat smaller (orange triangles). The green dots corresponding to the highest $\\alpha$ have the lowest magnitude (green upside down triangles). Let's zoom in this case." ] }, { "cell_type": "code", "execution_count": 149, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(ridge_high, 'v', label=f\"Ridge {alpha_h}\", color='green')\n", "plt.xlabel(\"Coefficient index\")\n", "plt.ylabel(\"Coefficient magnitude\")\n", "plt.hlines(0, 0, len(ridge_high), color='black')\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Are the coefficients equal to 0?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Lasso Regression" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lasso Regression is another regularized version of Linear Regression: just like Ridge Regression, it adds a regularization term to the cost function, but it uses the L1 norm of the weight vector instead of the square of the L2 norm. Lasso regression is implemented in `linear_model.Lasso`.\n", "It adds a factor of sum of absolute values of coefficients in the optimization objective. Lasso regression minimizes the following: \\\n", "Cost function = MSE($\\theta$) + $\\alpha$ * (sum of absolute values of coefficients)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Side note: Here is a gemoetric interpretation of these two regularization methods, taken from Machine Learning with PyTorch and Scikit-Learn, by Sebastian Raschka, Yuxi (Hayden) Liu, Vahid Mirjalili. " ] }, { "attachments": { "3dd26dd7-c7e9-4281-a98d-2164cd681189.png": { "image/png": "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" }, "defecaf4-4dfe-401f-93e6-8e3271f04c5b.png": { "image/png": "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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The key difference is that lasso can shrink the coefficients to 0, while ridge cannot.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We repeat the steps from the Ridge regression, but this time we use the Lasso model." ] }, { "cell_type": "code", "execution_count": 157, "metadata": {}, "outputs": [], "source": [ "from sklearn.linear_model import Lasso" ] }, { "cell_type": "code", "execution_count": 158, "metadata": {}, "outputs": [], "source": [ "def plot_lasso(X,y, alpha_value):\n", "\n", " poly_features = PolynomialFeatures(degree=20, include_bias=False)\n", " scaler=StandardScaler()\n", " lasso = Lasso(alpha=alpha_value, max_iter=10000, tol=1e-2)\n", " X_poly = poly_features.fit_transform(X)\n", " X_scaled=scaler.fit_transform(X_poly)\n", " lasso.fit(X_scaled, y)\n", " y_pred=lasso.predict(X_scaled)\n", " error=1/len(y)*((y-y_pred)**2).sum()\n", " \n", " fig = plt.figure(figsize=(5,5))\n", " plt.plot(X,y,'.', label='true values')\n", " plt.plot(X,y_pred, label='model', color='green')\n", " plt.xlabel(\"$x$\", fontsize=14)\n", " plt.ylabel(\"$y$\", fontsize=14)\n", " plt.legend(loc=\"lower left\", fontsize=10)\n", " print('training error is' , error)\n", " print('intercept estimate is ', lasso.intercept_)\n", " display('estimate of the coefficients:', (lasso.coef_) )\n", " return lasso.coef_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's now run the code with, putting the importance of the penalty function very low, meaning we set the penalty importance parameter $\\alpha$ to a low value." ] }, { "cell_type": "code", "execution_count": 160, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "training error is 0.09987081258387315\n", "intercept estimate is 0.017343773951478347\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "C:\\ProgramData\\anaconda3\\envs\\ml2025\\Lib\\site-packages\\sklearn\\linear_model\\_coordinate_descent.py:695: ConvergenceWarning: Objective did not converge. You might want to increase the number of iterations, check the scale of the features or consider increasing regularisation. Duality gap: 2.996e+00, tolerance: 3.798e-01\n", " model = cd_fast.enet_coordinate_descent(\n" ] }, { "data": { "text/plain": [ "'estimate of the coefficients:'" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "array([ 2.15507229e+00, -4.12628312e+00, -1.21655053e+00, 8.11333834e-01,\n", " 1.38899628e+00, 1.08720130e+00, 5.09384628e-01, -1.97901882e-03,\n", " -3.24439296e-01, -4.57051409e-01, -4.47531025e-01, -3.52509267e-01,\n", " -2.20274117e-01, -8.57519633e-02, 2.89103692e-02, 1.11759683e-01,\n", " 1.58154039e-01, 1.68262764e-01, 1.45160336e-01, 9.34560605e-02])" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "alpha_s = 1e-10\n", "lasso_small = plot_lasso(X,y, alpha_s)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now putting more importance on the penalty function." ] }, { "cell_type": "code", "execution_count": 162, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "training error is 0.10512762773865002\n", "intercept estimate is 0.017343773951479468\n" ] }, { "data": { "text/plain": [ "'estimate of the coefficients:'" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "array([ 0.14050825, -0.93915014, -0.37152743, -0. , 0. ,\n", " 0.02937262, 0.20785698, 0.14484871, 0.0911164 , 0.05152787,\n", " 0.0250782 , 0.00888568, 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. ])" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "alpha_m = 1e-3\n", "lasso_medium = plot_lasso(X,y, alpha_m)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And now with a high value." ] }, { "cell_type": "code", "execution_count": 164, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "training error is 0.6329951569326172\n", "intercept estimate is 0.01734377395147963\n" ] }, { "data": { "text/plain": [ "'estimate of the coefficients:'" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "array([-0., -0., -0., -0., -0., -0., -0., -0., -0., -0., -0., -0., -0.,\n", " -0., -0., -0., -0., -0., -0., -0.])" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "alpha_h = 1\n", "lasso_high = plot_lasso(X,y, alpha_h)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What is happening with the parameters as we keep increasing the value of $\\alpha$? Again, let's visualize this." ] }, { "cell_type": "code", "execution_count": 166, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(lasso_small, 's', label=f\"Lasso {alpha_s}\")\n", "plt.plot(lasso_medium, '^', label=f\"Lasso {alpha_m}\")\n", "plt.plot(lasso_high, 'v', label=f\"Lasso {alpha_h}\")\n", "plt.xlabel(\"Coefficient index\")\n", "plt.ylabel(\"Coefficient magnitude\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again we see that for the low values of $\\alpha$, our coefficients are higher. Let's zoom in the case of medium and high value of $\\alpha$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note: terms like `low` and `high` values of the parameter are relative. What is `low` for one dataset or one approach might be high for another. There are rarely universally good values for all the datasets. The parameter $\\alpha$ is a hyperparameter and some effort must be invested to find an appropriate level of a hyperparameter for a given dataset. More on this later on." ] }, { "cell_type": "code", "execution_count": 169, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkIAAAGwCAYAAABFFQqPAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjAsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvlHJYcgAAAAlwSFlzAAAPYQAAD2EBqD+naQAAQXJJREFUeJzt3QucTfX6+PFnZjDDuA7GuOWaWyG3hEoOGZSoXqeUI+QSuZTooJPwU0m5lDgUx610KqEcSYjSwWHcheYc9wlD7pdhXGb9X89Xe/9nzN5jZuw9+7I+79dr2bPXWnvNd+21t/XM872FWJZlCQAAgA2F+roAAAAAvkIgBAAAbItACAAA2BaBEAAAsC0CIQAAYFsEQgAAwLYIhAAAgG3l8nUB/F1KSoocOXJEChQoICEhIb4uDgAAyAQdJvH8+fNSqlQpCQ11n/chELoFDYLKli3r62IAAIBsSEhIkDJlyrjdTiB0C5oJcryRBQsW9HVxAABAJpw7d84kMhz3cXcIhG7BUR2mQRCBEAAAgeVWzVpoLA0AAGyLQAgAANgWgRAAALAt2ggBAALO9evX5erVq74uBnwod+7cEhYWdtvHIRACAATU2DCJiYly5swZXxcFfqBw4cISExNzW+P8EQgBAAKGIwiKjo6WfPnyMdCtjQPipKQkOX78uHlesmTJbB+LQAgAEDDVYY4gqGjRor4uDnwsb9685lGDIf1MZLeajMbSAICA4GgTpJkgIPVn4XbaixEIAQACCtVh8ORngUAIAADYFoEQ4I8SV4gsrnHjEQDgNQRCgL+xLJGtr4mc233jUZ8DALyCQAjwN0eXiZyKu/GzPupzAAGbde3SpYu0b99eAsWhQ4fkkUceMQ2RtTfWq6++KteuXcvwNadOnZKOHTuaycl1bJ9u3brJhQsX0uyzfft2eeCBByQiIsLMCv/uu++m2b5z50558sknpXz58qbtz/vvvy85IeACocmTJ5s3Sd/Ihg0byoYNG9zuO23aNPOmFylSxCwtWrTIcH/A5zT7s32YSMgf3UD1UZ+TFQI8h6xrhkMUPPLII3LlyhVZu3atzJ49W2bNmiVvvPFGhq/TIEgDmeXLl8vixYtl9erV0rNnT+f2c+fOScuWLaVcuXKyadMmee+992TEiBHy8ccfO/fRcYEqVqwo77zzjhkkMcdYAeTzzz+38uTJY82YMcPauXOn1aNHD6tw4cLWsWPHXO7/7LPPWpMnT7a2bNli7d692+rSpYtVqFAh67fffsv07zx79qx+Q8wj4HWHl1rWXEm/6HrA5i5dumTt2rXLPHr0e+bl71fnzp2tdu3aud0+btw46+6777by5ctnlSlTxurdu7d1/vx55/YDBw5Yjz76qLnf6T41atSwvv32W7Pt1KlT5l5XrFgxKyIiwqpcubK5Rzps377datasmdkWFRVl7pupj32zJUuWWKGhoVZiYqJz3ZQpU6yCBQtaycnJlit6TfQ+GRcX51z33XffWSEhIdbhw4fN87///e9WkSJF0hxj8ODBVtWqVV0es1y5ctaECROs2/lMZPb+HVAZofHjx0uPHj2ka9euUqNGDZk6dapJ3c2YMcPl/nPnzpUXX3xR7rnnHqlWrZpMnz5dUlJS5IcffnD7O5KTk03kmnoBfJINciArBAR11jU0NFQmTpxoMiqagVm5cqX89a9/dW7v06ePuTdplmXHjh0yZswYyZ8/v9k2bNgw2bVrl3z33Xeye/dumTJlihQrVsxsu3jxosTGxpoakbi4OJk3b56sWLFC+vbt67Ys69atk5o1a0qJEiWc6/QYei/U8rl7jVaH1a9f37lOa2D0vNavX+/c58EHH5Q8efKkOW58fLycPn1afClgRpbWNJ2m04YOHepcp2+yvtn6BmeGpt100KWoqCi3+4wePVpGjhzpkTID2W4blJp1/f+3FSoV64uSAcH7PfOD79fLL7/s/Fmbfrz55pvSq1cv+fvf/+5ss6NtZzRAUVp95KDb6tSp4wxC9PUOn332mVy+fFnmzJkjkZGRZt2kSZOkbdu2JphKHeyknsLk5vWO57rNFV2vbYlSy5Url7nXOl6jjxUqVHB7XA3WfCVgMkInTpwwdZeuLpC7i3OzwYMHS6lSpUzw5I4GWmfPnnUuCQkJt112INN/pbr9Sob6/K9WIOD5adZVszTNmzeX0qVLS4ECBaRTp05y8uRJ88e76t+/vwmOmjRpIsOHDzeNjh169+4tn3/+uan50CyStutx0AxR7dq1nUGQ0mNozYhmYhBggdDt0sZX+mFZuHChaWjtTnh4uGn1nnoBvC7likjSIf3B3Q4iSQk39gNwe9kgzQKlljorlMMOHDggjz76qNSqVUvmz59vaj60U5CjJkR1795d9u3bZwIkrRrT7M+HH35otrVu3VoOHjwoAwYMkCNHjpiAatCgQdkuT0xMjBw7dizNOsdzdw2Ydb1j8lMH7WWmPckcr8nOcXNKwARCWuepE6q5eiNv9SaOHTvWBELLli0zHzbA74SFi8TGibTalMESd2M/AEGTddXARzM048aNk/vuu0+qVKliApqbaXdzrS5bsGCBDBw40PSKdihevLh07txZPv30U9Pl3NETq3r16rJt2zbTVshhzZo1pllJ1apVXZanUaNGJthKHdhoTzBNCmjbXHev0clw9VwctJ2Tnpf27nbso22cUs8JpsfVcviyWiygAiFtYFWvXr00DZ0dDZ/1DXZHxykYNWqULF26NE1DLsDvRJYViarrfslXxtclBAKXj7Ou2tRi69ataRZtelG5cmUTHGiGR7M+n3zyiekIdHMbou+//172798vmzdvllWrVpkgR2m39m+++Ub27NljGjNr13XHNu3SrjUgGiT98ssv5nX9+vUzmSVX7YOUdnHXgEf30SBKf+/rr79uGmxrjYnSYWi0A9Lhw4fNc/19rVq1Mp2ZdJsGW9ogu0OHDqY5inr22WfNfVzHF9JyfvHFF/LBBx/IK6+8Ig6aAXO8N/qzHl9/1nPzKivAus+Hh4dbs2bNMt3levbsaboTOrr5derUyRoyZIhz/3feecd0t//qq6+so0ePOpeMug7ejO7zABAk3ecvHLKsk5vcLxcTLG91n9f7yM1Lt27dzPbx48dbJUuWtPLmzWvFxsZac+bMMdtPnz5ttvft29eqVKmSuf8VL17c3OtOnDhhto0aNcqqXr26ea12j9du+vv27ct293lHd/3WrVubY2q3/IEDB1pXr161HFatWmXKt3//fue6kydPWs8884yVP39+09W+a9eu6X7Ptm3brPvvv9+cR+nSpc09OjU9nqv3qWnTppY3u8+H6D8SQLTFuw7EpA2ktXGYdjl0pN4eeugh02JeB39S+rPWnd5MG5vpQE6ZoV0GCxUqZKJ52gsBgO9oDyjNimjvo4zaesI+Lmfwmcjs/TvgAqGcRiAEAP6BQAjeCIQCpo0QAACApxEIAQAA2yIQAgAAtkUgBAAAbItACLCTxBUii2vceAQAEAgBtqEdRLe+JnJu941HOowCAIGQz/CXOXJa6lm3fTSvEgD4GwIhX+Avc/h61m0fz7YNAP4il68LYEuu/jIvFevrUsEun7mbZ9vmswebSDibIL8n/e52e3RktJQp6Pk5/bp06WImJf36668lEC1YsMDMf6aTquqM8lu2bDEzOwQLAiFf/mWuNyPHX+YlW4qEhPi6dLDDZ86Bzx5sJPlasjSY1kCOXTzmdp+Y/DFy4KUDEp7rxuSiuEFnr7///vvlqaeeMhOrBhuqxnz1l7njhpT6L3MgJz5zDnz2YCN5wvLIHYXukFA3tz1dX7ZgWbNfThs/frzUrFlTIiMjpWzZsvLiiy/KhQsXnNt1zsy2bdtKkSJFzD533XWXLFmyxGw7ffq0mWW+ePHikjdvXrnzzjtl5syZztfu2LFD/vSnP5ltRYsWlZ49e6Y5dmboTPQ6y32LFi0kGBEI+bKdhgPtNeDtz5zbr3oonz3YQkhIiIxqNkpSJMXldl2v23W/nBYaGmomEN+5c6fMnj1bVq5cKX/961+d2/v06SPJycmyevVqE9iMGTNG8ufPb7YNGzZMdu3aJd99953s3r1bpkyZIsWKFXNmcmJjY00AFRcXJ/PmzZMVK1ZI3759c/wc/RlVY75sp+FAew14S8oVkaRD5r95NzuIJCXc2C+M6gAEt5aVWkqDUg1k89HNcj1VhjQsJEzqlqxrtvvCyy+/7Py5fPny8uabb0qvXr3k73//u1l36NAhefLJJ03WSFWsWNG5v26rU6eO1K9f3/l6h88++8xMSjpnzhyTSVKTJk0y2SUNpkqUKJFj5+jPCIR88pd5ivu/zGmvAU/S4CY2TiTZfQNRiYgmCIKtskKt5rZKs16DIl9lg5RmaUaPHi2//vqrmTH92rVrJoBJSkqSfPnySf/+/aV3796ybNkyUz2lQVGtWrXMa3W9Pt+8ebO0bNlS2rdvL40bNzbbNENUu3ZtZxCkmjRpIikpKRIfH08g9AeqxvzxL3PAkyLLikTVdb/k83wvGcDfs0KaBVL6qM99lQ06cOCAPProoyawmT9/vumZNXnyZLPtypUb94Pu3bvLvn37TFsdrRrT7M+HH35otrVu3dq0IRowYIAcOXJEmjdvLoMGDfLJuQQqAqGc/su81aYMljj+MgeAHMgKOarGfJ0N0sBHMzTjxo2T++67T6pUqWICmptpI2qtLtOu7AMHDpRp06Y5t2lD6c6dO8unn34q77//vnz88cdmffXq1WXbtm2mrZDDmjVrTJukqlWr5tAZ+j+qxnL6L3NdAAA+zwrFHYnLsWzQ2bNnZevWrWnWaS+uypUry9WrV02GR9vuaKCiY/bc3IZIMz8aJGkvsVWrVpkgR2lvrnr16pmeZNqgevHixc5t2pts+PDhJkgaMWKE/P7779KvXz+TWcpKtdipU6dMWyRHgKbVaiomJsYsAc9Chs6ePavdacwjAMB3Ll26ZO3atcs83q7le5db1SdVN4/e1rlzZ3MfuXnp1q2b2T5+/HirZMmSVt68ea3Y2Fhrzpw5Zvvp06fN9r59+1qVKlWywsPDreLFi1udOnWyTpw4YbaNGjXKql69unltVFSU1a5dO2vfvn3O3719+3arWbNmVkREhNneo0cP6/z581kq/8yZM12Wf/jw4ZY/fyYye/8O0X98HYz5M224VqhQIRPNFyxY0NfFAQDb0gbE+/fvlwoVKkhERISviwM//0xk9v5NGyEAAGBbBEIAPCNxhcjiGjceASBAEAgBuH1aw771NZFzu288UuMOIEAQCAHw7KjpzF8GIIAQCAHw7Bx6zJ0HL6OPDzz5WSAQAuDZ2e2Z1R5ekjt3bvOoU08AqT8Ljs9GdjCgIgDPZINSTWLpzAoxdx48KCwsTAoXLizHjx83z3UeLl+NCA3fZ4I0CNLPgn4m9LORXQRCADzTNii11FmhUrG+KBmClGMkY0cwBHsrXLjwbY9uTSAE4PayQaaG3dVkwqFkheBxmgEqWbKkREdHm6kpYF+5c+e+rUyQA4EQgOxJuSKSdMhNEGR2EElKuLEfkwnDw/QG6ImbIEAgBCB7NLiJjRNJ/t39PhHRBEEA/BqBEIDsiyx7YwGAAEX3eQAAYFsEQgD8G3OYAfAiAiEA/os5zAB4GYEQAP/FHGYAvIxACIB/Yg4zADmAQAiAf2IOMwA5gEAIgP9ngxzICgHwMAIhILvozZRz2SAHskIAPIxACMgOejPl0Bxm4n4OM0+85wSzgO0RCAHZQW8m/5jD7HYQzAJgig3gNtuvaFWNo90Ks6wH1hxmroLZUrG3d0wAAYdACLidG+jN7Va4kQbGHGYEswD+QNUYkBX0ZgoOdM0H8AcCISAr6M0U+HIimKURNhAwCIQAf+zNhMANZmmEDQQU2gjloISzCfJ7kvsGoNGR0VKmYBnbHDvgypxyRRLO7JffL7vvzRR99oCU0d5M2WjIy/vs/eNqUJIQ91f5/bK2A3IVoIRIdNxgKfNY1tsKOcv8+1qRI3+0IdPHHZNFijf2y/fZm8emzDlz7EAss78JsazA+nNl8uTJ8t5770liYqLUrl1bPvzwQ7n33nvd7j9v3jwZNmyYHDhwQO68804ZM2aMtGnTJtO/79y5c1KoUCE5e/asFCxYMNvlTr6WLOXeLyfHLh5zu09M/hg58NIBCc8VHvTHDtgyTygjx5JOuD9uvuJyYECCf5U5EN9nb5U5+ZyUG1tEjl1zF8yKxOQKlQODTkt4eMGgfp+9eWzKTJn9QWbv3wFVNfbFF1/IK6+8IsOHD5fNmzebQCg2NlaOHz/ucv+1a9fKM888I926dZMtW7ZI+/btzfLLL7/keNnzhOWROwrdIaFu3nJdX7ZgWbOfHY4dsGUuXCHj4xYu739lDsT32VtlzlNA7ih6t4SK62yPri9brKbZL3tlzuC4fvY+e/PYlJkyB5KAygg1bNhQGjRoIJMmTTLPU1JSpGzZstKvXz8ZMmRIuv2ffvppuXjxoixevNi57r777pN77rlHpk6dmqMZIfX9nu+l1dxW/3/FTePBff3019KiUotsHXvF3hXS/ov2brf747Epc84cmzLnzLFX7Fku7b983P1xn1ooLSo/nOXjBuz7QZlz5NiBWOabRUZGijdk+v5tBYjk5GQrLCzMWrhwYZr1zz33nPXYY4+5fE3ZsmWtCRMmpFn3xhtvWLVq1XL7ey5fvmydPXvWuSQkJGigaH6+XSkpKVaDjxtYYSPDLBlhGiiwsLCwsLDYevEWvW9n5v4dMFVjJ06ckOvXr0uJEiXSrNfn2l7IFV2flf3V6NGjTQTpWDTj5CkhISEyqtkouX5zbxUAAOAT9Bq7ydChQ007pNSpNU8GQy0rtZQGpRrI5qOb5fpr1yU0JFTuiblHfurykwmUbofWcjad1VS2Jm6VFCvF/49tWWItf1Ca7tgiW5NvzCylkfk94SI/1awjIQ+vzv4ov148dsC9z5TZ+8e+niyyuLpYl45L08OS/jNXWiQkb7TIo7uzNzVIIH5XKDNlDhABEwgVK1ZMwsLC5NixtC3Y9XlMTIzL1+j6rOyvwsPDzeItjqyQaSuURz9YKfJ2q7clf/78Hjm+HsvRDsnvj33ke5FLW+TtkiKtjtxYpV80fZ7/0haRc2uyP2WFN48daO+zl4/rzWMHTpkjRdptNPOjvX1wrbRa1O+P44q83fZDyV+u8Y350fJF2ee7Qpkpc4AImKqxPHnySL169eSHH35wrtPG0vq8UaNGLl+j61Pvr5YvX+52/5ziyAopfdTntjt2qsEJW+YTafBH7KmP+vy2Bif05rED7X3OgeN689gBVWadGy2qrrS8p0/a497Tx6yXfGXs812hzJQ5gARMIKS0ymratGkye/Zs2b17t/Tu3dv0CuvatavZ/txzz5mqLYeXXnpJli5dKuPGjZNff/1VRowYIRs3bpS+ffv68CxuZIXebv62VC9W3Tzebpo/II+tgw4mHTJ/X+hh3i4mUj33jccbh00RSUq4sZ8/HTvQ3uccOK43j02ZA/S7QpkpcwAJqO7zSrvOOwZU1G7wEydONN3q1UMPPSTly5eXWbNmpRlQ8fXXX3cOqPjuu+/6ZEBFuHAxwVQluGWqEsr437GBnBaI3xXKnDPHDsQy55DM3r8DLhDKaQRCAAAEnqAcWRoAAMCTCIQAAIBtEQgBAADbIhACAAC2RSAEAABsi0AIAADYFoEQAACwLQIhAABgWwRCAADAtgiEAACAbREIAQAA2yIQAgAAtkUgBAAAbItACAAA2BaBEAAAsC0CIQAAYFsEQgAAwLYIhAAAgG0RCAEAANsiEAIAALZFIAQAAGyLQAgAANgWgRAAALAtAiEAAGBbBEIAAMC2shUI/fzzz/KXv/xFGjVqJIcPHzbrPvnkE/n3v//t6fIBAAD4TyA0f/58iY2Nlbx588qWLVskOTnZrD979qy8/fbb3igjAACAfwRCb775pkydOlWmTZsmuXPndq5v0qSJbN682dPlAwAA8J9AKD4+Xh588MF06wsVKiRnzpzxVLkAAAD8LxCKiYmRPXv2pFuv7YMqVqzoqXIBAAD4XyDUo0cPeemll2T9+vUSEhIiR44ckblz58qgQYOkd+/e3iklAACAF+TK6guGDBkiKSkp0rx5c0lKSjLVZOHh4SYQ6tevnzfKCAAA4BUhlmVZ2XnhlStXTBXZhQsXpEaNGpI/f34JRufOnTPtn7RXXMGCBX1dHAAA4MH7d5YzQg558uQxARAAAECgylQg9MQTT2T6gAsWLLid8gAAAPhXY2lNLTkWTS/98MMPsnHjRuf2TZs2mXW6HQAAIKgyQjNnznT+PHjwYHnqqafMoIphYWFm3fXr1+XFF1+kDQ0AAAjuxtLFixc3YwZVrVo13UCLjRs3lpMnT0owobE0AADBe//O8jhC165dk19//TXdel2n3eoBAAACRZZ7jXXt2lW6desme/fulXvvvdes08EV33nnHbMNAAAgaAOhsWPHmmk2xo0bJ0ePHjXrSpYsKa+++qoMHDjQG2UEAADwrwEVHfVvKpjbztBGCACAwOP1ARUVgQEAAAhkWQ6EKlSoYCZbdWffvn23WyYAAAD/DIRefvnlNM+vXr0qW7ZskaVLl5p2QgAAAEEbCL300ksu10+ePDnNaNMAAAD+LsvjCLnTunVrmT9/vqcOBwAAEDiB0FdffSVRUVGeOhwAAID/BUJ16tSRunXrOhd9ruMIvfbaa2bxllOnTknHjh1NT7XChQubQR0vXLiQ4f79+vUzU4HkzZtX7rjjDunfv7/pRgcAAJCtNkLt2rVL02ssNDTUzD/20EMPSbVq1bz2rmoQpAM4Ll++3DTQ1lGse/bsKZ999pnL/Y8cOWIWHQCyRo0acvDgQenVq5dZp9krAACA2xpQMafs3r3bBDNxcXFSv359s057qbVp00Z+++03KVWqVKaOM2/ePPnLX/4iFy9elFy5XMeAycnJZkk9IFPZsmUZUBEAgADitUlXw8LC5Pjx4+nW66zzus0b1q1bZ6rDHEGQatGihclG6TxnmeV4M9wFQWr06NHmjXMsGgQBAIDglOVAyF0CSbMoefLkEW9ITEyU6OjoNOs0mNHG2botM06cOCGjRo0y1WkZGTp0qAmYHEtCQsJtlR0AAARBG6GJEyeaR20fNH36dMmfP79z2/Xr12X16tVZbiM0ZMgQGTNmzC2rxTyRHnvkkUdM9dqIESMy3Dc8PNwsAAAg+GU6EJowYYIzIzR16tQ01WCaCSpfvrxZnxU6W32XLl0y3KdixYpmtvubq+OuXbtmeobptoycP39eWrVqJQUKFJCFCxdK7ty5s1RGAAAQvDIdCO3fv988NmvWTBYsWCBFihS57V+uvc10uZVGjRrJmTNnZNOmTVKvXj2zbuXKlZKSkiINGzbMMBMUGxtrMjyLFi2SiIiI2y4zAACwcRuhVatWeSQIyorq1aubrE6PHj1kw4YNsmbNGunbt6906NDB2WPs8OHDpmpOtzuCoJYtW5oeYv/4xz/Mc21PpItW5QEAAGQqI/TKK6+YhsaRkZHm54yMHz9evGHu3Lkm+GnevLnpLfbkk0862y0pHVsoPj5ekpKSzPPNmzc7e5RVrlw5XXZLq/IAAIC9ZSoQ0tnlNdBw/OxO6oEWPU17iLkbPFFpYJO6R5sO8BgAQyQBAAAfCogBFQNhQCYAAGCDARUBAABsO9eYNj5+55135IcffjBd2rXnVmr79u3zZPkAAAD8JxDq3r27/PTTT9KpUycz67w32wUBAAD4VSD03XffybfffitNmjTxTokAAABySJbbCOkYQtqDCwAAwHaBkI4n9MYbbzjH6wEAALBN1di4ceNk7969UqJECTN2z81zd+lAhgAAAEEZCLVv3947JQEAAMhhDKh4CwyoCABA4GFARQAAAE9XjWmvMVdjB+m6iIgIM8Fply5dpGvXrlk9NAAAgH8HQtpj7K233pLWrVvLvffea9Zt2LBBli5dKn369DEzu/fu3VuuXbsmPXr08EaZAQAAfBMI/fvf/5Y333xTevXqlWb9Rx99JMuWLZP58+dLrVq1ZOLEiQRCAADAr2W5jdD3338vLVq0SLe+efPmZptq06YNc44BAIDgC4R0VOl//etf6dbrOseI0zoxa4ECBTxTQgAAAH+pGhs2bJhpA7Rq1SpnG6G4uDhZsmSJTJ061Txfvny5NG3a1POlBQAA8PU4QmvWrJFJkyZJfHy8eV61alXp16+fNG7cWIIN4wgBABC8928GVLwFAiEAAIL3/p3lqrHULl++LFeuXEmzjmABAAAEbWNpnXW+b9++Eh0dLZGRkWaAxdQLAABA0AZCr776qqxcuVKmTJki4eHhMn36dBk5cqSUKlVK5syZ451SAgAAeEGWq8a0m7wGPA899JCZRuOBBx4w02qUK1dO5s6dKx07dvRGOQEAAHyfETp16pRUrFjR2R5In6v7779fVq9e7fkSAgAA+EsgpEGQziemqlWrJl9++aUzU1S4cGHPlxAAAMBfAiGtDtu2bZv5eciQITJ58mQz6/yAAQNM+yEAAIBAcdvjCB08eFA2bdpk2gnpZKvBhnGEAAAIPDkyjpDSRtK6AAAABJpsBUI6t5jONXb8+HFJSUlJs238+PGeKhsAAIB/BUJvv/22vP7662Z+sRIlSkhISIhzW+qfAQAAgi4Q+uCDD2TGjBnSpUsX75QIAADAX3uNhYaGSpMmTbxTGgAAAH8OhLSbvHaZBwAAsF3V2KBBg+SRRx6RSpUqSY0aNSR37txpti9YsMCT5QMAAPCfQKh///6mx1izZs2kaNGiNJAGAAD2CYRmz54t8+fPN1khAAAAW7URioqKMtViAAAAtguERowYIcOHD5ekpCTvlAgAAMBfq8YmTpwoe/fuNYMpli9fPl1j6c2bN3uyfAAAAP4TCLVv3947JUFgSFwhsrG/SP2JIjEtfF0aAAB8O/t8sGP2+VT0o/J9Q5FTcSJRDURi1+u8Kr4uFQAA2b5/Z7mNEGzs6LIbQZDSR30OAEAAIxBC5rNB24eJhITdeK6P+pyEIgAggBEIIWvZIOv6jef6SFYIABDgCISQ9WyQA1khAIDdAqH/+7//czmG0KVLl8w2BKGbs0EOZIUAAHbrNRYWFiZHjx6V6OjoNOtPnjxp1l2/ftPNMsDZvteYs6fYJhFJcbFDqEhUPXqQAQDs0WtM4yZXE61u27bNTL/hLadOnZKOHTuakylcuLB069ZNLly4kOkyt27d2pT766+/9loZg1LKFZGkQ26CILODSFLCjf0AAAjWARWLFCliAgldqlSpkiYY0iyQBiW9evXyVjlNEKSZqOXLl8vVq1ela9eu0rNnT/nss89u+dr333/fZfCGTAgLF4mNE0n+3f0+EdE39gMAIFgDIQ0mNLPy/PPPy8iRI026ySFPnjxmuo1GjRp5pZC7d++WpUuXSlxcnNSvX9+s+/DDD6VNmzYyduxYKVWqlNvXbt26VcaNGycbN26UkiVLeqV8QS+y7I0FAAC7BkKdO3c2jxUqVJDGjRunm2PMm9atW2eqwxxBkGrRooWEhobK+vXr5fHHH3f5Om3U/eyzz8rkyZMlJiYmU78rOTnZLKnrGAEAQHDK8lxjTZs2lZSUFPnvf/8rx48fNz+n9uCDD4qnJSYmpmucnStXLtMmSbe5M2DAABO0tWvXLtO/a/To0SbjBQAAgl+WA6H//Oc/Jsty8OBBU1WWmrbDyUqvsSFDhsiYMWNuWS2WHYsWLZKVK1fKli1bsvS6oUOHyiuvvJImI1S2LNVCAAAEoywHQtogWquovv32W9Pm5nYaIQ8cOFC6dOmS4T4VK1Y01VqafUrt2rVrpieZuyovDYL27t1rqtRSe/LJJ+WBBx6QH3/80eXrwsPDzQIAAIJflscRioyMNF3lK1euLDlFs0I1atQwDZ7r1atn1i1btkxatWolv/32m8vG0lplduLEiTTratasKR988IG0bdvWtHXKDNuPIwQAQADy2jhCDRs2lD179khOql69ugl6evToIRs2bJA1a9ZI3759pUOHDs4g6PDhw1KtWjWzXWmm6O67706zqDvuuCPTQRAAAAhuWa4a69evn6nS0oyLZlhu7j1Wq1Yt8Ya5c+ea4Kd58+amt5hWcU2cONG5XccWio+Pdzn9BwAAgEeqxjQISXeQkBDniNNMsQEAAALl/p3ljND+/ftvt2wAAAB+IcuBULly5bxTEgAAgByW5cbS6pNPPpEmTZqYhso6npBjCo5vvvnG0+UDAADwn0BoypQpZsBBnefrzJkzzjZBOl6PBkMAAABBGwjpZKfTpk2Tv/3tbxIWFuZcr4Ms7tixw9PlAwAA8J9ASBtL16lTJ916HY354sWLnioXAACA/wVCOhjh1q1b061funSpGfgQAAAgaHuNafugPn36yOXLl83YQTqS8z//+U8za/v06dO9U0oAAAB/CIS6d+8uefPmlddff92M4qwz0WvvMZ3DS6e8AAAACNqRpVPTQOjChQsSHR0twYqRpQEACDxeG1k6tXz58pkFAAAgEGUqEKpbt6788MMPUqRIEdNjTOcUc2fz5s2eLB8AAIBvA6F27dqZ7vGqffv23isNAABAoLQRsgPaCAEAELz37yyPIxQXFyfr169Pt17Xbdy4MeslBQAA8JEsB0I6hlBCQkK69YcPHzbbAAAAgjYQ2rVrl2k8fTNtRK3bAAAAgjYQ0kbTx44dS7f+6NGjkivXbfXGBwAA8O9AqGXLljJ06FDT+MjhzJkz8tprr8nDDz/s6fIBAAB4TZZTOGPHjpUHH3xQypUr55yFXidhLVGihHzyySfeKCMAAIB/BEKlS5eW7du3y9y5c2Xbtm1m3rGuXbvKM888I7lz5/ZOKQEAALwgW416IiMjpWfPnp4vDQAAgL8FQosWLZLWrVubjI/+nJHHHnvMU2UDAADw/cjSoaGhkpiYaGaZ15/dHiwkRK5fvy7BhJGlAQCw+ezzKSkpLn8GAAAI+u7zUVFRcuLECfPz888/L+fPn/d2uQAAAPwjELpy5YpJManZs2fL5cuXvV0uAAAAr8tU1VijRo2kffv2Uq9ePdEmRf379zfd5l2ZMWOGp8sIAADgu0Do008/lQkTJsjevXvNc214RFYIAADYotdYahUqVJCNGzdK0aJFxQ7oNQYAQPDev7PcWLpZs2aSJ08ez5UUAADAR2gsDQAAbIvG0gAAwLay3FhaR4+msTQAAAgGNJa+BRpLAwBg8yk2Utu/f7/zZ80KRUREZL+UAAAA/t5YOjWda2zUqFFSunRpyZ8/v+zbt8+sHzZsmPzjH//wRhkBAAD8IxB68803ZdasWfLuu++m6UZ/9913y/Tp0z1dPgAAAP8JhObMmSMff/yxdOzYUcLCwpzra9euLb/++qunywcAAOA/gdDhw4elcuXKLqvMrl696qlyAQAA+F8gVKNGDfn555/Trf/qq6+kTp06nioXAACA12W519gbb7whnTt3NpkhzQItWLBA4uPjTZXZ4sWLvVNKAAAAf8gItWvXTv71r3/JihUrJDIy0gRGu3fvNusefvhhb5QRAADAPwZUtBsGVAQAIPB4bUBFh02bNplMkLrrrrtoHwQAAAJOlgOh48ePS4cOHeTHH3+UwoULm3VnzpyRZs2ayeeffy7Fixf3RjkBAAB830aoX79+cv78edm5c6ecOnXKLL/88otJQems9AAAAEHbRkjr27ShdIMGDdKs37Bhg7Rs2dJkh4IJbYQAAAje+3e25hrLnTt3uvW6Trd5i2aedDRrPRmtkuvWrZtcuHDhlq9bt26d/OlPfzI93PS1Dz74oFy6dMlr5QQAAIEjy4GQBhUvvfSSHDlyxLlOxxQaMGCANG/eXLxFgyCtjlu+fLkZr2j16tXSs2fPWwZBrVq1MpkqzVjFxcVJ3759JTQ0y6cNAACCUJarxhISEuSxxx4zQUnZsmWd63TS1UWLFkmZMmU8XkjtnaYjWmsgU79+fbNu6dKl0qZNG/ntt9+kVKlSLl933333mbGNRo0ale3fTdUYAACBx2vd5zX42bx5s2kn5JhktXr16tKiRQvxFs3saHWYIwhS+vs0s7N+/Xp5/PHHXfZu022aSWrcuLHs3btXqlWrJm+99Zbcf//9bn9XcnKyWVK/kQAAIDhlaxyhkJAQk2nJqZGkExMTJTo6Os26XLlySVRUlNnmyr59+8zjiBEjZOzYsXLPPfeYaUC0+k57ud15550uXzd69GgZOXKkF84CAAD4m0w3llm5cqWpnnKVIdG0kw6q6Goy1owMGTLEBFUZLY6sU1Y5Gm6/8MIL0rVrVzPg44QJE6Rq1aoyY8YMt68bOnSoOR/HotV+AADA5hmh999/X3r06OGynk3r4DTgGD9+vDzwwAOZ/uUDBw6ULl26ZLhPxYoVJSYmxlR1pXbt2jXTk0y3uVKyZEnzqMFbalqNd+jQIbe/Lzw83CwAACD4ZToQ2rZtm4wZM8btdu2ZpVVQWaGjUGdmJOpGjRqZ8Yl0Wo969eo5M1Sa9WnYsKHL15QvX940oo6Pj0+z/r///a+0bt06S+UEAAA2rxo7duyYy/GDUrfZ+f3338UbNIuj3eA1I6Xd4NesWWO6wetUH44eY9qFXxtD63al1WqvvvqqTJw4Ub766ivZs2ePDBs2zFS16RhEAAAAmc4IlS5d2jQyrly5ssvt27dvd1ZHecPcuXNN8KONnbW32JNPPmmCHIerV6+a7E9SUpJz3csvvyyXL182YxxpNVrt2rXNOESVKlXyWjkBAEAQjiOkc4zpRKs6lk9ERESabTpS87333msmXk0dnAQDxhECACB479+ZDoS0aqxu3boSFhZmMjPa+0ppVdPkyZPl+vXrZnyhEiVKSDAhEAIAIPB4fEBFDXDWrl0rvXv3Nl3MHfGTtsWJjY01wVCwBUEAACC4ZWlAxXLlysmSJUvk9OnTpvGxBkM6MGGRIkW8V0IAAAB/GllaA58GDRp4vjQAAAA5iGnYAQCAbREIAQAA2yIQAgAAtkUgBAAAbItACAAA2BaBEAAAsC0CIQAAYFsEQgAAwLYIhAAAgG0RCAEAANsiEAIAALZFIAQAAGyLQAgAANgWgRAAALAtAiEAAGBbBEIAAMC2CIQAAIBtEQgBAADbIhACAAC2RSAEAABsi0AIAADYFoEQAACwLQIhAABgWwRCAADAtgiEAACAbREIAQAA2yIQAgAAtkUgBAAAbItACAAA2BaBEAAAsC0CIQAAYFsEQgAAwLYIhAAAgG0RCAEAANsiEAIAALZFIAQAAGyLQAgAANgWgRAAALAtAiEAAGBbBEIAAMC2CIQAAIBtEQgBAADbIhACAAC2RSAEAABsK2ACoVOnTknHjh2lYMGCUrhwYenWrZtcuHAhw9ckJiZKp06dJCYmRiIjI6Vu3boyf/78HCszAADwbwETCGkQtHPnTlm+fLksXrxYVq9eLT179szwNc8995zEx8fLokWLZMeOHfLEE0/IU089JVu2bMmxcgMAAP8VYlmWJX5u9+7dUqNGDYmLi5P69eubdUuXLpU2bdrIb7/9JqVKlXL5uvz588uUKVNMVsihaNGiMmbMGOnevbvL1yQnJ5vF4dy5c1K2bFk5e/asyUYBAAD/p/fvQoUK3fL+HRAZoXXr1pnqMEcQpFq0aCGhoaGyfv16t69r3LixfPHFF6ZaLSUlRT7//HO5fPmyPPTQQ25fM3r0aPPGORYNggAAQHAKiEBI2/pER0enWZcrVy6Jiooy29z58ssv5erVqyYLFB4eLi+88IIsXLhQKleu7PY1Q4cONdGjY0lISPDouQAAAP/h00BoyJAhEhISkuHy66+/Zvv4w4YNkzNnzsiKFStk48aN8sorr5g2QtpeyB0NmDSFlnoBAADBKZcvf/nAgQOlS5cuGe5TsWJF0+vr+PHjadZfu3bNVHnpNlf27t0rkyZNkl9++UXuuusus6527dry888/y+TJk2Xq1KkePBMAABCIfBoIFS9e3Cy30qhRI5PZ2bRpk9SrV8+sW7lypWn307BhQ5evSUpKMo/ajii1sLAw8zoAAICAaCNUvXp1adWqlfTo0UM2bNgga9askb59+0qHDh2cPcYOHz4s1apVM9uV/qxtgbRdkK7TDNG4ceNM9/v27dv7+IwAAIA/CIhASM2dO9cEN82bNzfd5u+//375+OOPndu1UbSOGeTIBOXOnVuWLFliMk5t27aVWrVqyZw5c2T27Nnm9QAAAAExjlAgjEMAAAD8R1CNIwQAAOANBEIAAMC2CIQAAIBtEQgBAADbIhACAAC2RSAEAABsi0AIAADYFoEQAACwLQIhAABgWwRCAADAtgiEAACAbREIAQAA2yIQAgAAtkUgBAAAbItACAAA2BaBEAAAsC0CIQAAYFsEQgAAwLYIhAAAgG0RCAEAANsiEAIAALZFIAQAAGyLQAgAANgWgRAAALAtAiEAAGBbBEIAAMC2CIQAAIBtEQgBAADbIhACAAC2RSAUjBJXiCyuceMRAAC4RSAUbCxLZOtrIud233jU5wAAwCUCoWBzdJnIqbgbP+ujPgcAAC4RCAUTzf5sHyYSEnbjuT7qc7JCAAC4RCAUjNkg6/qN5/pIVggAALcIhII1G+RAVggAALcIhII1G+RAVggAALcIhIIpG+T2coaSFQIAwAUCoWCQckUk6ZD+4G4HkaSEG/sBAACnXP//RwSssHCR2DiR5N/d7xMRfWM/AADgRCAULCLL3lgAAECmUTUGAABsi0AIAADYFoEQAACwLQIhAABgWwRCAADAtgiEAACAbREIAQAA2yIQAgAAtkUgBAAAbIuRpW/B+mOi0nPnzvm6KAAAIJMc923HfdwdAqFbOH/+vHksW5bpKwAACMT7eKFChdxuD7FuFSrZXEpKihw5ckQKFCggISEhHo1UNbhKSEiQggULSjAK9nMM9vOzwzlyfoEv2M+R88s+DW80CCpVqpSEhrpvCURG6Bb0zStTpozXjq8XPhg/3HY6x2A/PzucI+cX+IL9HDm/7MkoE+RAY2kAAGBbBEIAAMC2CIR8JDw8XIYPH24eg1Wwn2Own58dzpHzC3zBfo6cn/fRWBoAANgWGSEAAGBbBEIAAMC2CIQAAIBtEQgBAADbIhDyosmTJ0v58uUlIiJCGjZsKBs2bMhw/3nz5km1atXM/jVr1pQlS5aIvxo9erQ0aNDAjLgdHR0t7du3l/j4+AxfM2vWLDM6d+pFz9UfjRgxIl1Z9doEy/VT+tm8+Rx16dOnT0Bev9WrV0vbtm3NKLJatq+//jrNdu0X8sYbb0jJkiUlb9680qJFC/nf//7n8e+xL87v6tWrMnjwYPO5i4yMNPs899xzZlR8T3/OfXkNu3Tpkq68rVq1CoprqFx9H3V57733AuIajs7EfeHy5cvm/5iiRYtK/vz55cknn5Rjx45leNzsfnczi0DIS7744gt55ZVXTLfAzZs3S+3atSU2NlaOHz/ucv+1a9fKM888I926dZMtW7aYD5Auv/zyi/ijn376yXyY//Of/8jy5cvNf8QtW7aUixcvZvg6HTn06NGjzuXgwYPir+666640Zf33v//tdt9Au34qLi4uzfnpdVR//vOfA/L66WdPv2d603Pl3XfflYkTJ8rUqVNl/fr1JmDQ76T+x+yp77Gvzi8pKcmUb9iwYeZxwYIF5gb02GOPefRz7utrqDTwSV3ef/7znxkeM1CuoUp9XrrMmDHDBDYaLATCNfwpE/eFAQMGyL/+9S/zh6Pur8H6E088keFxs/PdzRLtPg/Pu/fee60+ffo4n1+/ft0qVaqUNXr0aJf7P/XUU9YjjzySZl3Dhg2tF154wQoEx48f12EYrJ9++sntPjNnzrQKFSpkBYLhw4dbtWvXzvT+gX791EsvvWRVqlTJSklJCfjrp5/FhQsXOp/rOcXExFjvvfeec92ZM2es8PBw65///KfHvse+Oj9XNmzYYPY7ePCgxz7nvj7Hzp07W+3atcvScQL5Guq5/ulPf8pwH3++hsdvui/ody537tzWvHnznPvs3r3b7LNu3TqXx8judzcryAh5wZUrV2TTpk0mfZd6zjJ9vm7dOpev0fWp91ca8brb39+cPXvWPEZFRWW434ULF6RcuXJmkr127drJzp07xV9p6lVT2BUrVpSOHTvKoUOH3O4b6NdPP7OffvqpPP/88xlOLhxI1y+1/fv3S2JiYpprpHMQaTWJu2uUne+xv30n9VoWLlzYY59zf/Djjz+aapeqVatK79695eTJk273DeRrqNVF3377rcky34q/XsOzN90X9Fpolij19dBqvDvuuMPt9cjOdzerCIS84MSJE3L9+nUpUaJEmvX6XC+oK7o+K/v7k5SUFHn55ZelSZMmcvfdd7vdT//j0lTvN998Y266+rrGjRvLb7/9Jv5Gv2TaJmbp0qUyZcoU82V84IEHzEzGwXb9lLZVOHPmjGmDEQzX72aO65CVa5Sd77G/0CoDbTOk1bUZTWSZ1c+5r2m12Jw5c+SHH36QMWPGmKqV1q1bm+sUbNdw9uzZpq3NraqN/PUapri4L+h7nidPnnTB+a3ujY59MvuarGL2edw2rRPWtjC3qpdu1KiRWRz0Jlq9enX56KOPZNSoUeJP9D9Xh1q1apn/bDQT8uWXX2bqL7RA849//MOcs/5VGQzXz870L+6nnnrKNDDVG2Mwfc47dOjg/FkbhmuZK1WqZLJEzZs3l2Cif3RodudWHRL89Rr2yeR9wR+QEfKCYsWKSVhYWLqW8Po8JibG5Wt0fVb29xd9+/aVxYsXy6pVq6RMmTJZem3u3LmlTp06smfPHvF3+hdMlSpV3JY1UK+f0gbPK1askO7duwft9XNch6xco+x8j/0lCNJrqo1VM8oGZedz7m+0Kkivk7vyBuI1VD///LNp7J7V76S/XMO+bu4L+p5rdaVmn7Nyb3Tsk9nXZBWBkBdo6q9evXomfZs6TajPU/9FnZquT72/0v/I3O3va/rXpn7YFy5cKCtXrpQKFSpk+Riast6xY4fpEunvtG3M3r173ZY10K5fajNnzjRtLh555JGgvX76+dT/NFNfo3PnzpkeKO6uUXa+x/4QBGl7EQ1stXuypz/n/karZbWNkLvyBto1TJ2h1XJrD7NAuobWLe4Lek76B1Tq66EBn7Zpcnc9svPdzU7B4QWff/65adU+a9Ysa9euXVbPnj2twoULW4mJiWZ7p06drCFDhjj3X7NmjZUrVy5r7NixphW99gTQ1vU7duyw/FHv3r1ND6Iff/zROnr0qHNJSkpy7nPzOY4cOdL6/vvvrb1791qbNm2yOnToYEVERFg7d+60/M3AgQPNue3fv99cmxYtWljFihUzvSCC4fql7kFzxx13WIMHD063LdCu3/nz560tW7aYRf9rGz9+vPnZ0WvqnXfeMd/Bb775xtq+fbvpkVOhQgXr0qVLzmNoD50PP/ww099jfzm/K1euWI899phVpkwZa+vWrWm+k8nJyW7P71afc386R902aNAg07tIy7tixQqrbt261p133mldvnw54K+hw9mzZ618+fJZU6ZMcXkMf76GvTNxX+jVq5f5P2flypXWxo0brUaNGpkltapVq1oLFixwPs/Md/d2EAh5kX5Y9YLnyZPHdOH8z3/+49zWtGlT0xU0tS+//NKqUqWK2f+uu+6yvv32W8tf6ZfY1aJdrN2d48svv+x8P0qUKGG1adPG2rx5s+WPnn76aatkyZKmrKVLlzbP9+zZEzTXz0EDG71u8fHx6bYF2vVbtWqVy8+k4xy0G+6wYcNM2fXG2Lx583TnXa5cORPEZvZ77C/npzdBd99JfZ2787vV59yfzlFvpi1btrSKFy9u/sjQc+nRo0e6gCZQr6HDRx99ZOXNm9d0EXfFn6+hZOK+oMHLiy++aBUpUsQEfI8//rgJlm4+TurXZOa7eztC/vilAAAAtkMbIQAAYFsEQgAAwLYIhAAAgG0RCAEAANsiEAIAALZFIAQAAGyLQAgAANgWgRAAALAtAiEAPpeYmCgPP/ywREZGmkkj3a0LCQmRr7/+OlPHHDFihNxzzz1eLbe3f3f58uXl/fff90iZALhGIATALQ1G+vXrZ2b5Dg8Pl7Jly0rbtm3TTTB7uyZMmCBHjx6VrVu3yn//+1+36/R569atM3XMQYMGebycs2bNcgZlOf27AXhHLi8dF0CAO3DggDRp0sTc+N977z2pWbOmmeH8+++/lz59+sivv/7qsd+ls2XrzNR33nlnhut0FurMyp8/v1l8wZe/G0AWeWzWMgBBpXXr1mYSxwsXLqTbdvr0aefPOnO2znweGRlpFShQwPrzn/+cbiLMr7/+2qpTp46ZMFFnjR4xYoR19epV5ySSN09A6Wqd0p8XLlzoPG5CQoLVoUMH5wSO9erVc06oqRNT1q5dO005pk2bZlWrVs2UQ2e4njx5snObY+LS+fPnWw899JCZ+LJWrVrW2rVr3U6YefPkng43/24tv86Y/d5771kxMTFWVFSUmXhSZ413OHbsmPXoo49aERERVvny5a1PP/3UvA8TJkxI875369bNzC6u73WzZs3MbPNKZxvXSSnfeust5/46G7lOUKoztQNwjYwQgHROnTolS5culbfeesu00bmZo3ooJSVF2rVrZ7IfP/30k1y7ds1ki55++mn58ccfzT4///yzPPfcczJx4kR54IEHTKanZ8+eZtvw4cMlLi7ObC9YsKB88MEHkjdvXrly5Uq6dTe7cOGCNG3aVEqXLi2LFi0y2aLNmzebMrkyd+5ceeONN2TSpElSp04d2bJli/To0cOcX+fOnZ37/e1vf5OxY8eaTJT+/Mwzz8iePXukcePGpr2OHiM+Pt7sm5Wsz6pVq6RkyZLmUY+n75G2I9IyqC5dusiRI0fM9ty5c0v//v3l+PHjaY7x5z//2bwX3333nRQqVEg++ugjad68uak6LF68uMyYMUPat28vLVu2lKpVq0qnTp2kb9++Zh8AbrgJkADY2Pr1603GY8GCBRnut2zZMissLMw6dOiQc93OnTvNazds2GCeN2/e3Hr77bfTvO6TTz6xSpYs6Xyu2RJH1iejdakzQh999JHJipw8eTJTWZlKlSpZn332WZp9Ro0aZTVq1ChNRmj69OnpzmX37t3m+cyZM61ChQpl+J64+t2OLNe1a9ec6zRz9vTTT5uf4+Pj07xnSn+nrnNkhH7++WerYMGC1uXLl9P8Lj0vfS8cNNNUpUoV69lnn7Vq1qyZbn8AaZERApDOjZjj1nbv3m0aUOviUKNGDZMx0m0NGjSQbdu2yZo1a0x2yeH69ety+fJlSUpKknz58mWrjNqIWjM7UVFRt9z34sWLJhPVrVs3ZwZGaQZLMyup1apVy/mzZnCUZmaqVasmt+Ouu+6SsLCwNMfesWOH+Vnfq1y5cpk2UQ76+1I3zNb3UbNgRYsWTXPcS5cumXNz0GzW3XffLfPmzZNNmzaZRu4A3CMQApCOVgtpV3VPNIjWm/fIkSPliSeeSLctIiIi28d1VV2WURnUtGnTpGHDhmm2pQ5OlFZLOeh7oNxVt2VF6uM6jp2V4+o5aPDkqHJMLXXApEGRVrHpsbXBuzZyB+AegRCAdDTLEhsbK5MnTzZtVW5uJ3TmzBlz861evbokJCSYxZEV2rVrl9mumSFVt25d06amcuXKHi2jZm6mT59u2jPdKitUokQJKVWqlOzbt086duyY7d+ZJ08ek83yNM3+aHZKMziaRVP6nun76KDvow5noJkjHV/IFW1b9Ze//MW0P9I2Qt27dzdZp+joaI+XGQgWjCMEwCUNgvSmf++998r8+fPlf//7n6nC0UbPjRo1Mvu0aNHCZBw0uNCGyhs2bDCNnLURc/369c0+2rh4zpw5Jiu0c+dOc4zPP/9cXn/99dsqnzZi1gbS2jhYq940yNFyrlu3zuX++vtHjx5tyq+NizVAmDlzpowfPz7Tv1MDEM3M6BhBJ06cMFV7nqBBS6tWreSFF16Q9evXm4BIg5jUWS99r/V91/NdtmyZyfasXbvWNOjeuHGj2Ud/Pnv2rDnHwYMHS5UqVeT555/3SBmBYEUgBMAlHURRg5tmzZrJwIEDTbsTHelZg4ApU6Y4q3e++eYbKVKkiDz44IPmZq2v++KLL5zH0czS4sWLzc1bsx333XefGSyxXLlyt1U+zc7oMTXb0aZNGxOQvfPOO+mquhw0sNAMkgY/uq8GazpAYoUKFTL9O7XnWK9evUzGRXtpvfvuu+IpWi7NWmm5tBpRe9alzuToe71kyRLzPnft2tUEOR06dJCDBw+ajJdWmWmvtk8++cT0tgsNDTU/a689x/UCkF6Itph2sR4AACDokRECAAC2RSAEAABsi0AIAADYFoEQAACwLQIhAABgWwRCAADAtgiEAACAbREIAQAA2yIQAgAAtkUgBAAAbItACAAAiF39P7fIGaDq8YErAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(lasso_medium, '^', label=f\"Lasso {alpha_m}\", color='orange')\n", "plt.plot(lasso_high, 'v', label=f\"Lasso {alpha_h}\", color='green')\n", "plt.xlabel(\"Coefficient index\")\n", "plt.ylabel(\"Coefficient magnitude\")\n", "plt.hlines(0, 0, len(ridge_high), color='black')\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What can we say about the values of the coefficient as $\\alpha$ increases? How do these two cases compare?\n", "\n", "And how does Lasso compare to Ridge?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In practice, Ridge regression is usually the first choice between these two models. However, if we have a large amount of features and expect only a few of them to be important, Lasso might be a better choice. Similarly, if we would like to have a model that is easy to interpret, Lasso will provide a model that is easier to understand, as it will select only a subset of the input features. `scikit-learn` also provides the ElasticNet class, which combines the penalties of Lasso and Ridge. In practice, this combination works best, though at the price of having two parameters to adjust: one for the L1 regularization, and one for the L2 regularization." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Regression metrics" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's generate a small dataset using `make_regression`, with some features being not informative." ] }, { "cell_type": "code", "execution_count": 174, "metadata": {}, "outputs": [], "source": [ "from sklearn.datasets import make_regression\n", "X, y = make_regression(n_samples=100, n_features=10, noise=20, n_informative=5, random_state=1) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'll divide the dataset with a `train_test_split` function. The parameter test_size defines the proportion of the dataset to use for testing. Here, the test set will receive 40% of the data, and the random state parameter ensures that the results won't change when we re-run the code. " ] }, { "cell_type": "code", "execution_count": 176, "metadata": {}, "outputs": [], "source": [ "from sklearn.model_selection import train_test_split\n", "X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=0, test_size=0.4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, let's apply Ridge Regression." ] }, { "cell_type": "code", "execution_count": 178, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
Ridge(alpha=0.1)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" ], "text/plain": [ "Ridge(alpha=0.1)" ] }, "execution_count": 178, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.linear_model import Ridge\n", "ridge = Ridge(alpha=0.1)\n", "ridge.fit(X_train, y_train)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's check the mean squared error and the mean absolute error." ] }, { "cell_type": "code", "execution_count": 180, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean Squared Error is 569.4523528220172\n", "Mean Absolute Error is 20.62142565022108\n" ] } ], "source": [ "from sklearn.metrics import mean_squared_error, mean_absolute_error\n", "y_pred = ridge.predict(X_test)\n", "MSE = mean_squared_error(y_test, y_pred)\n", "MAE = mean_absolute_error(y_test, y_pred)\n", "print('Mean Squared Error is', MSE)\n", "print('Mean Absolute Error is', MAE)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The key difference between MSE and MAE are that the former emphasizes larger errors further through squaring than the latter, but is also more difficult to interpret because of the squared units. MSE is also sensitive to outliers as it penalizes their presence more, whereas MAE doesn't amplify these large errors because it is a simple average of the prediction error." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also check the root of the mean squared error which gives us the Root Mean Squared Error. The most significant advantage of RMSE over MSE is its interpretability. RMSE is in the same units as the target variable being predicted, making it easier for practitioners to understand the magnitude of the error in the context of the problem domain. For example, if we are predicting housing prices in dollars, MSE would be in squared dollars, which is hard to interpret. In contrast, RMSE would be directly in dollars, allowing for a more intuitive understanding of the average error per prediction. In addition to being interpretable, RMSE also penalizes large errors more than MAE. " ] }, { "cell_type": "code", "execution_count": 183, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Root Mean Squared Error is 23.863200808399892\n" ] } ], "source": [ "from sklearn.metrics import root_mean_squared_error\n", "RMSE=root_mean_squared_error(y_test, y_pred )\n", "print('Root Mean Squared Error is', RMSE)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can find the $R^2$:" ] }, { "cell_type": "code", "execution_count": 185, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "R2 is 0.9535198263758744\n" ] } ], "source": [ "from sklearn.metrics import r2_score\n", "r2=r2_score(y_test, y_pred)\n", "print('R2 is', r2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that we the `score` method of the Ridge regression is $R^2$. Hence, the same value we could obtain directly with:" ] }, { "cell_type": "code", "execution_count": 187, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9535198263758744" ] }, "execution_count": 187, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ridge.score(X_test, y_test)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will be using score function often, as it is available in many estimators, but before applying it is crucial to know what metric is being calculated (check the documentation). The specific metric returned depends on the type of estimator being used." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since $R^2$ increases every time we add a feature to a model, it might show misleadingly high values for overfitted models. Hence Adjusted $R^2$ is used instead. It can be calculated using the values of $R^2$, but considering the sample size and the number of features \n", "\n", "$Adjusted$ $R^2$ = $1-\\frac{(1-R^2)(n-1)}{(n-p-1)}$
\n", "\n", "where n is the number of data points in the data set used to evaluate the metric and p is the number of features." ] }, { "cell_type": "code", "execution_count": 190, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Adjusted R2 is 0.9374921802985897\n" ] } ], "source": [ "adj_r2 = 1 - ((1 - r2) * (X_test.shape[0] - 1) / (X_test.shape[0] - X_test.shape[1] - 1))\n", "print('Adjusted R2 is', adj_r2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$Adjusted$ $R^2$ is lower than $R^2$, but still very high." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Practice question\n", "\n", "For the data below (X,y), plotted in blue, fit the polynomial regression model. \n", "Test different polynomial degrees. Try Ridge and Lasso with different $\\alpha$ values.\n", "How well does it predict the values of $y_{test}$ for input $X_{test}$ (red points)? How is this reflected in the regression metrics?" ] }, { "cell_type": "code", "execution_count": 193, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(100, 10)" ] }, "execution_count": 193, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X.shape" ] }, { "cell_type": "code", "execution_count": 194, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(50, 1)" ] }, "execution_count": 194, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.random.rand(m, 1).shape" ] }, { "cell_type": "code", "execution_count": 195, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "np.random.seed(42)\n", "m = 100\n", "X = 10 * np.random.rand(m)\n", "X.sort(axis=0)\n", "y = np.cos(X) + 0.3 * np.random.normal(0,0.5,m)\n", "plt.plot(X, y,'b.', label='training data')\n", "\n", "n_val=20\n", "X_test = 10 * np.random.rand(n_val)\n", "X_test.sort(axis=0)\n", "y_test = np.cos(X_test) + 0.3 * np.random.normal(0,0.5,n_val)\n", "plt.plot(X_test, y_test,'r.', label='test data')\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Data visualization (optional)\n", "\n", "The following is a summary of Chapter 4 of *Python Data Science Handbook* by Jake VanderPlas.\n", "\n", "https://jakevdp.github.io/PythonDataScienceHandbook/04.00-introduction-to-matplotlib.html" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Matplotlib" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One nice feature of Matplotlib is the ability to save figures in a wide variety of formats. Saving a figure can be done using the *savefig()* command. For example, to save a simple figure as a PNG file, we can run this:" ] }, { "cell_type": "code", "execution_count": 199, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 10, 100)\n", "\n", "fig = plt.figure()\n", "plt.plot(x, np.sin(x), '-')\n", "plt.plot(x, np.cos(x), '--')\n", "fig.savefig('my_figure.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now have a file called *my_figure.png* in the current working directory." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's use the IPython *Image* object to display the contents of this file:" ] }, { "cell_type": "code", "execution_count": 202, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "" ] }, "execution_count": 202, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "Image('my_figure.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following formats are supported for *fig.save_fig()* :" ] }, { "cell_type": "code", "execution_count": 204, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'eps': 'Encapsulated Postscript',\n", " 'jpg': 'Joint Photographic Experts Group',\n", " 'jpeg': 'Joint Photographic Experts Group',\n", " 'pdf': 'Portable Document Format',\n", " 'pgf': 'PGF code for LaTeX',\n", " 'png': 'Portable Network Graphics',\n", " 'ps': 'Postscript',\n", " 'raw': 'Raw RGBA bitmap',\n", " 'rgba': 'Raw RGBA bitmap',\n", " 'svg': 'Scalable Vector Graphics',\n", " 'svgz': 'Scalable Vector Graphics',\n", " 'tif': 'Tagged Image File Format',\n", " 'tiff': 'Tagged Image File Format',\n", " 'webp': 'WebP Image Format'}" ] }, "execution_count": 204, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fig.canvas.get_supported_filetypes()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A potentially confusing feature of Matplotlib is its dual interfaces: *pyplot (plt)* interface and object-oriented interface. For more simple plots, the choice of which style to use is largely a matter of preference, but the object-oriented approach can become a necessity as plots become more complicated. First, let's see an example with the *plt* interface." ] }, { "cell_type": "code", "execution_count": 206, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure() # create a plot figure\n", "\n", "# create the first of two panels and set current axis\n", "plt.subplot(2, 1, 1) # (rows, columns, panel number)\n", "plt.plot(x, np.sin(x))\n", "\n", "# create the second panel and set current axis\n", "plt.subplot(2, 1, 2)\n", "plt.plot(x, np.cos(x));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And here is the same plot, but using the object-oriented approach:" ] }, { "cell_type": "code", "execution_count": 208, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# First create a grid of plots\n", "# ax will be an array of two Axes objects\n", "fig, ax = plt.subplots(2)\n", "\n", "# Call plot() method on the appropriate object\n", "ax[0].plot(x, np.sin(x))\n", "ax[1].plot(x, np.cos(x));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### MatplotLib Basics\n", "\n", "For all Matplotlib plots, we start by creating a figure and axes. In their simplest form, a figure and axes can be created as follows:" ] }, { "cell_type": "code", "execution_count": 210, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = plt.axes()" ] }, { "attachments": { "356ed726-02cf-4992-b457-362dde4500c9.png": { "image/png": "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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "In Matplotlib, the figure (an instance of the class *plt.Figure*) can be thought of as a single container that contains all the objects representing axes, graphics, text, and labels. The axes (an instance of the class *plt.Axes*) is: a bounding box with ticks and labels, which will eventually contain the plot elements that make up our visualization:\n", "
\n", "\n", "
\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first adjustment we might wish to make to a plot is to control the line colors and styles. The *plt.plot()* function takes additional arguments that can be used to specify these. To adjust the color, we can use the *color* keyword, which accepts a string argument representing virtually any imaginable color. The color can be specified in a variety of ways:" ] }, { "cell_type": "code", "execution_count": 213, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, np.sin(x - 0), color='blue') # specify color by name\n", "plt.plot(x, np.sin(x - 1), color='g') # short color code (rgbcmyk)\n", "plt.plot(x, np.sin(x - 2), color='0.75') # Grayscale between 0 and 1\n", "plt.plot(x, np.sin(x - 3), color='#FFDD44') # Hex code (RRGGBB from 00 to FF)\n", "plt.plot(x, np.sin(x - 4), color=(1.0,0.2,0.3)) # RGB tuple, values 0 to 1\n", "plt.plot(x, np.sin(x - 5), color='chartreuse'); # all HTML color names supported" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Similarly, the line style can be adjusted using the *linestyle* keyword:" ] }, { "cell_type": "code", "execution_count": 215, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAh8AAAGdCAYAAACyzRGfAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjAsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvlHJYcgAAAAlwSFlzAAAPYQAAD2EBqD+naQAAd91JREFUeJzt3Qd0lMXaB/B/djeb3nvvnd6l91AVERRURFBEAelFQFAQ6SIoIIK9YgWl915DL+kkIb33uvU7My9E/a7XKxqyk+T5nZOPzASv79kvZp/M/OcZI71erwchhBBCSD2R1de/iBBCCCGEoeKDEEIIIfWKig9CCCGE1CsqPgghhBBSr6j4IIQQQki9ouKDEEIIIfWKig9CCCGE1CsqPgghhBBSrxQQjE6nQ2ZmJqysrGBkZGToxyGEEELI38B6lpaVlcHd3R0ymaxhFR+s8PDy8jL0YxBCCCHkH0hLS4Onp2fDKj7Yisf9h7e2tjb04xBCCCHkbygtLeWLB/ffxxtU8XF/q4UVHlR8EEIIIQ3L34lMUOCUEEIIIfWKig9CCCGE1CsqPgghhBBSr6j4IIQQQki9ouKDEEIIIfWKig9CCCGE1CsqPgghhBBSr6j4IIQQQki9ouKDEEIIIfWKig9CCCGE1CsqPgghhBBSr6j4IIQQQki9ouKDEEIIaSJ0NTWojosz9GNQ8UEIIYQ0FXq1BlkLFkJXUWHQ56DigxBCCGnEVOnptZ/LLS3gMGECVGlpBn0mKj4IIYSQRkiv1yNr0WLc6dcflZcv185bD4iEaWioQZ+Nig9CCCGkETIyMmL/h1UhqDh/HiJRGPoBCCGEEFI3Kx1lBw/BvH07KOzt+ZzTtKmwHf44zFq1gkho5YMQQghpBHLeegsZ06Yh7/33a+cUDg7CFR4MFR+EEEJII2A9cCCMTE2hcHCE6GjbhRBCCGlgdCoVir78EgpXV9gMHsznzNu3R+Cxo1DY2UF0VHwQQgghDUzxDz8gd81aKJycYNWzJ2QWFny+IRQeDBUfhBBCSAOg12phJJfzz21HjkTp3n2wHTECRmZmaGio+CCEEEIEpikqQt76DVBnZsJr64f8CK1MqYTPV19Kx2kbICo+CCGEEIHpystR8vPP0KvVqL51C2bNm/P5hlp4MFR8EEIIIYL161DfvQulry8fK7284LJgPkwCA2sLj4aOjtoSQgghgtCWlyPthReR9NgwqDMyauftRo/mp1kaCyo+CCGEEEHILCz49gp0OlReu4bGirZdCCGEEAPRq9Uo3rkTto89BiOlkuc4XJcu4adalN7eaKyo+CCEEEIMJPWFF1F58SJ0FRVweP55Pmfi54fGjrZdCCGEEAOxHjoEcnv7BtMcrK7QygchhBBSD7TFxcjbtJnfwWLepjWfsx0+HNYDBkBuZYWmhFY+CCGEkHqQt3ETv48lZ8UKfpyWYdmOplZ4MLTyQQghhDwkeo0GRgrprdbx5Ymovn0bTq9OadANwuoCFR+EEEJIHVOlpCBn5SoYu7vDdfEiPqdwdITvt98Y+tEa5rbLyZMnMXToULi7u/PKbefOnf/xd2JiYvDoo4/CxsYGFhYWaN++PVJTU+vqmQkhhBChqbNzUH78OIp/+gmawkJDP07DLz4qKirQsmVLbNq06U+/fufOHXTt2hWhoaE4fvw4bty4gUWLFsHU1LQunpcQQggRcnulJjm5dmzRqSOcZs6E346fobC3N+izichIfz/18k/+YSMj7NixA8OGDaudGzVqFIyNjfHll1/+o//N0tJSvmJSUlICa2vrf/pohBBCSL1QpaUhfdJkaEtLEbBvL2Tm5miKSh/g/btOT7vodDrs2bMHwcHBiIyMhLOzMzp27PinWzP31dTU8Af+/QchhBDSUCicnaGrqoKuuho18fEQWU5FDk6lnzL0Y9Rt8ZGbm4vy8nKsXLkSAwYMwMGDB/H4449j+PDhOHHixJ/+MytWrOCV0v0PLy+vunwkQgghpE5py8pQ9P33tcdlZSYm8NiwHoEH9sOsVSuIqFpTjS3Xt2DozqGYe3IuCqoKGs9pF7bywTz22GOYMWMG/7xVq1Y4e/YstmzZgh49evzHPzN//nzMnDmzdsxWPqgAIYQQIiJdTQ2Shj4KTXY2X/Gw6tmTz5tFREBEer0e+1P2Y93ldciuyOZzrZ1bo1xdDgczh8ZRfDg6OkKhUCA8PPwP82FhYTh9+vSf/jMmJib8gxBCCBEdW+WwHjQI5ceOQWYmdrbjdv5trIpahau5V/nYzcINM9vORKRvpMH7jNRp8aFUKvmx2ri4uD/Mx8fHw8fHpy7/VYQQQki9hEnz1m+A8+xZMHZz43OsSZjzjOkwMjaGiHIrc/Helffwy51f+NhMYYbxzcbj+YjnYaoQ4+TpAxcfLNORmJhYO05OTsa1a9dgb28Pb29vzJkzB0899RS6d++OXr16Yf/+/di1axc/dksIIYQ0JNlvvImKs2fZ8U54rF3D52RmZhBRjbYGX9z+AttubkOVporPDfUfiqltpsLVwhUN+qgtKyJYUfH/jR07Fp999hn//JNPPuFB0vT0dISEhGDJkiU8B/J30FFbQgghhqLXallQorYlenV0NHLXvQvnuXNgGhwMkS08vRC/3vmVf97CqQXmtZ/H/6wvD/L+/a/6fDwMVHwQQggxhMorV5G97C3YDnsc9s+NQUOgZ4XSvfxGQlECphyZglfbvIrBfoPrPdfxIO/fdLcLIYQQwrYt4uNREx2DwpJS2D09unb1Q0T5Vfl4/+r7MJWbYn7H+XwuyC4Ie4bvgUIm7nPfJ/4TEkIIIQ+BrqICmqIiKD09+dh25AhoCvJhN1rswoNJKk7Czwk/Q2Gk4GFSFwsXPt8QCg+mYTwlIYQQUocqL19GxvQZULi7wffbb2Ekk8FILofT5MkQdXsltSwVPtbSydEObh3wUouX0M2jW23h0ZDUaYdTQgghpCEw9vLiKx/aomJocnMhsrjCOLxw8AWM3DWSH6O979XWr6KVs5gdVf8XWvkghBDS6KkzM1EZFQWbeycvjZ2d4f3JxzAJD4dMqYSICqoKsPHaRr69otPrYCI3wY28G+jr0xcNHRUfhBBCGjV1RgbuDBrMr703bdYMJgEBfF7Ue1jUWjW+jvkaH974kLdBZ1hXUtad1N3SHY0BFR+EEEIaNWMPD1h07QpdSQlEptfrcTztONZeWsvzHUy4Qzjv19HGpQ0aEyo+CCGENCpV166h4OOP4b5qFWTm0v0rHqtXwcjc3OB3mvw3CUUJWB21GuezzvOxo5kjpraeiscCH4PMqPHFM6n4IIQQ0miwrZWMWbP5VktB6Ke1p1dkFhYQUVF1ETZd24Qf4n/guQ6lTInnIp7Di81fhIWxmM9cF6j4IIQQ0qDpVKra0Cjrz+E8ZzbKT5yE7ciREN3kI5NxM/8m/7yfTz+e6/C0kvqONGaNby2HEEJIk1G6fz/uRA5A+alTtXPWAwbAfcVyfqJFxFyHTq+rHU9oPgEhdiH4JPITrOu5rkkUHgwVH4QQQhqsqmvXocnKQuHnX0B0rCvpK4dfwbex39bO9fTqie+GfIf2ru3RlNC2CyGEkAZDnZMLI7kMCkdHPnac9ArkDvawHyP+RXCXcy/jTOYZxBbGYmTwSCjlSh6AlRvJ0dTQygchhJAGoWTXLtwZOBA5q1fXzsmtreE4YQJkpqYQjVqnxt3Su7Xj4YHDMSZ8DL4c+CUvPJoyWvkghBDSICh9/aCvrIQ6LR26mhrITEwgqtMZp7Emag2qNdX4ZdgvMFWYQi6TY277uYZ+NCFQ8UEIIURIVbdv8zyHVV+pnbhZ82bw+fYb3plU1H4dySXJvOg4lSEFYO1M7HCn5A4iHCIM/WhCoeKDEEKIcCrOX0DquHF8W8W8XTvIbW35vHnr1hBRSU0Jtlzfgu2x26HRa/hV90+HPY2JLSfCWmlt6McTDhUfhBBChGPeri1MgoNhEhTEG4eJSqPT4Mf4H3mjsOKaYj7X07MnZrWbBV8bX0M/nrCo+CCEEGLw3hdlhw6h7OAhuK9ZzbdUWLMw3+3fQmZmBlGdyzzHW6InFifycaBtIOa0n4PO7p0hrIoCIHoH0P5Fgz4GFR+EEEIMSltYiMx5r0FfVQWrPr1hPXAgnxe18GAnWNZGrcXx9ON8bGtii8mtJmNE8AgoZIK/rZrbA7d2AP69AAfpdl9DEPxVIoQQ0hjpqqtrj8cqHBzgNGUKtOVlsOzeHSKr0dZgzN4xKKop4rmOp0KfwistX4GNiQ2EpKoELmwBOkwATKwAFtQdul763ICo+CCEEFJv9DodCj/9DAXbtsHnm69h4u/P5x1eGA9RaXVafkyWMZGbYHyz8biYfRGz28+Gv430/MLR64FbPwGH3gBK04GaUqDvm9LXHIMM/XTUZIwQQkj9MZLJUBkVBW1xMYq/+x6iu5h1EU/ufhKn0n+7O4bdOru572ZxC4+My8DH/YGfXpAKDxtvwF2sU0K08kEIIeShqo6Lh9LbqzbD4TxvLqz69YPN48MguhPpJxBfFI+tN7aim2c3PiczEvT39tJM4MhS4Pq9u2OMLYBuM4BHpgDGYuVnqPgghBDy0ORt3IT8zZvhOGUynCZN4nMmfn78Q0TlqnKUqErgYenBx6xPB7t7hW21CO/o278VHi1HA33eAKzdICIqPgghhDw0Sj9fQKeDOjUNImO5jp2JO/He1ffga+2LzwZ8xo/8sgZhM9vNhLC5DlUFYGIpjXstAErSpKLDsy1ERsUHIYSQOuvXUX7iBOQWFjBvL10Rbz1oEJTePrw1uqiisqN4vw522yzDCo6C6gI4mkk35wop8yqwfz5g6Qw8+YU0Z+MBjP0VDQEVH4QQQupE8fbtyF6yFMrAAPjv3MkbhbHVA1ELj/SydKy7vA6H7h7iYytjK7zc8mWMDh0NY7kxhFSWI+U6rn3Nyj3A2FzKeli7oyGh4oMQQkidYKsc+R9sgWWPHrwlOis+RFShrsC2G9vwRfQX/Np7FiAdGTwSk1pNgr2pPYSkrgbObwZOvQOoyqW55k8Cfd9ocIUHI+Z3BiGEEKHp1WoUfbsdqvQ0uC5YwOfkNjYIOHigtnmYaHR6HX5J/IXnOvKr8vlcR7eO/Jr7YLtgCCsnGvh2FFB8Vxp7tAUGrAK8pK2thoiKD0IIIQ+sOj4eOcuX889thw2DaXg4/1zUwuNKzhWsvLgSMYUxfOxt5Y3Z7Wajp1dPvjUkNDsfQKsGrNylRmHNRwIyQY/7/k1UfBBCCPlbdFVVtb06zCIiYD92LJTs2GxICESWWZ6JcQfG8ZUPS2NLTGwxkV93r5QrIaTyXODSp0D3OVKRobQAnvkesPeXPm8EqPgghBDyl3SVlchdvx5l+/bDf89uyK2t+bzL/Ncg8lX39y95c7d0x4igEdDqtXi19atwMHOAkDQ1wPkPgJNrAVWZlOVo/ax0H4trczQmDXvdhhBCyENnZGyMijNnocnLQ+mBAxD9uO+uO7sw+OfBSCpJqp1/vdPreLPzm2IWHno9ELMb2NQROPyGVHiwduhOIVLh0QjRygchhJD/UHnlKsxat+J5CFZ8uC15E7qaGlh26QKRsec9kHIAmRWZ+OL2F7zguD8vpOxbwP7XgJR7d8dYukonWFqMavC5jr9CxQchhJA/rBxkzpqF0r374LHuHX58ljFv1w6iyq7I5vmN+8dkWZC0tXNrjAkfA+HtmQmkXQDkJsAjk4FuMw1+3X19aLxlFSGEkAfGVgiUAQGAQgFVegZEVqWpwuZrmzF0x1BsuLKhdt7XxhcvNH9BzECpRgWoq34b938bCB8GTImSVjyaQOHB0MoHIYQ0YawZWPGPP8K8Y8fay94cxo+H9cCBMPH3F3Z1Zk/yHqy/vB45lTl8LrU0lTcMM5YJ2pmU5Tri9wMHFgIRw4A+i6U51qvD63M0NVR8EEJIE5azYiWKvv4alr16weuDzXyOHacVtfC4mXcTK6NW4kbeDT52t3DnF7/19+kvbq6DNQk7sABIOiaNb/wA9JgHiLgyU0+o+CCEkCbM7pmnUbp/Pyw6d+YrCqK+gedU5PCtlV1Ju/jYTGGGCc0n4LmI52DC8hIiqigAji8HLn0C6HVSsdFpEtBtFqAQ9JnrCRUfhBDSRGjLypC/ZQsU9vZweOEFPsdWOAKPHYVMKeZv4dWaanx2+zN8cusTnvFgHgt4DNPaTIOTuROElXAY+Gk8UF0ijUOHAP3fkhqFkQcPnJ48eRJDhw6Fu7s7r5B37tz5X//uyy+/zP/O+vXr/+1zEkII+ZfKT55E4cefIG/TZmiKimrnRSw82CrM/uT9eHTno9h0bRMvPNgJlu2Dt2NZ12ViFx4M69HBwqUuzYGxu4BRX1Ph8W9WPioqKtCyZUuMHz8ew4cP/69/b8eOHTh//jwvUgghhBiGtrwCckupJTc7Nltx8iSsBg6E3NYWIjufdR5zTs7hn7tauGJm25kY4DtA2G0h5MVJgdIu06SxjScwfh/g2gKQyQ39dA2/+Bg4cCD/+CsZGRl49dVXceDAAQwePPjfPB8hhJB/QJ2bi5y3lkF19y78fv6JX2/P3rjdV62CqH5/WqWTWyd09+yOZo7N8HzE8zzjIaTKQuD4SiDqI0CvBTw7AN6dpK+xLqUCqqjRIKe0Gv5Olo0n86HT6TBmzBjMmTMHERER//Pv19TU8I/7SktL6/qRCCGkyWFbKZUXL/KcR9XVqzBvL+7162qtmuc6fkr4Cd8N+Q42Jja8UNrYe6O4Kx1ajRQkZYHSqntbWCGDACsXYVui63R6/Hw1A6v3x8LeQondr3aFQi5rHMXHqlWroFAoMHXq1L/191esWIElS5bU9WMQQkiTotfpUHXlSm0nUrat4rZiOYw9PGEaEgyRsQJjT9IeZJRnYGfiToyNGFs7L6TEw1K/jrxYaewcDkQuBwJ6QVSXUgqxdHc0bqRLAVhTYzmySqrhZW/e8IuPy5cvY8OGDbhy5crf/qaZP38+Zs6c+YeVDy8vr7p8LEIIadR01dW4++wYVN++Dd8ffoBZM2nV2ap3b4gqtjAW/jb+vAspu312YaeFvE36EP8hEJq6GvhlClCWBZjZA70WAG3HAXIxD49mFFdh5b5Y7LqeyceWJgpM6R2IcV18YaIwXBalTl+tU6dOITc3F97e3rVzWq0Ws2bN4ideUlJS/uOfMTEx4R+EEEL+GZmpKZR+flClpECdllpbfIgovyof7199HzsSdmBG2xkY12wcn2/vKu62ED8uq7SSLnozNgX6vQVkXgV6zAXMxAzuVqo02HIiCVtP3kG1Wsd3gp5s64XZkSFwsjL8e26dFh8s69G3b98/zEVGRvL5ceOkbzBCCCH/jq6iAgWffw77MWMgt5LuAnGZNxcur82DwkHAK+MBqLQqfBXzFbbe2IoKdQWfSytLg9BYruPKZ8Cx5UD/ZUDL0dJ88xFAi5EQNdfxy/UMrNoXh+zSaj7Xwc8ei4eEo5mHDUTxwMVHeXk5EhMTa8fJycm4du0a7O3t+YqHw//7xjc2NoarqytCQkLq5okJIaSJS5s8BZXnz0NXVs6LDkbh6AgRsX4dR1OPYu2ltUgvT+dzEQ4RmNdhHu/bIaw7x6SW6LnR0vj6dqn4EDWHAuBKahGW7orGtbRiPva0M8PCQWEY0MxVuPzMAxcfly5dQq9ev4Vq7uc1xo4di88++6xun44QQsh/cBg/DuqMDJi3awuRxRXGYXXUalzMvsjHTmZOmN52Os91yIwEvVS94A5w8HUgbq80NrMDei4A2o0TtvDIKqnCqn2x2HlNynVYKOWY1CsQL3T148FSERnpWVkqEBY4tbGxQUlJCaytrQ39OIQQYlDqrCzkrn0HVv36wXpAZO28XqWCkYCdSZnC6kKe6/g54Wfo9DooZUp+guXF5i/C3Ngwpyv+FtarY99rgE4NGMmB9i8CPV8DzO0hoiqVFltPJmHLiTuoUmt5bTSijSfmRIbA2dpU6PdvMeO5hBBCuOKffkbpnj2ounEDVv36wkgu/SYrYuHB+nV8E/sNtlzfgnJ1OZ+L9I3k3UndLRtAt2uXZlLhEdAHGLBCapEuIL1ej103srBybwwyS6RcRzsfO7wxNALNPcXJdfwVKj4IIUSwfh26ykrILS1rt1hq7iTCccKE2sJDVD/E/8CzHUyYfRjPdbR1EXhrKPmktM3CtlQYr47ASycA91YQ1fW0Yt6v4/JdqbGZu40p5g8Kw5AWbsLlOv4KbbsQQoggquPjkb1oMeSOjvDatBENAVvtMJZLLdFrtDV48cCLGB40HI8FPiZurqMwWcp1xO4GFKbAlCjA1pstKQib68gprcbq/XH46YoU2jUzluOVngF4qbu/MLkO2nYhhJAGyEgmQ9WtWzAyMeFZD2M3N4iqpKaE5zqu513Ht4O/5Y3CTOQm+GLgF+L+Bl5dCpx6Bzi/GdCq2AsOtH4WUN6740TA565Wa/HRqSRsPn4HlSotnxve2gNzB4TC1ab+cx11hYoPQggxEF1VFapjYmDepg0fmwQGwn3lSph37ABjZ2eIbn/Kfl6EnMs8h26e3fickIWHTgtc+xo48hZQkSvN+fcEIlcALuEQkV6vx96b2Vi+N4Z3KWVae9vyfh2tve3Q0NG2CyGEGAA7Kpvy7BjoSkrgv3+f8MUGe6u4lncNrZxa1RYYB1IOwN7UXuzupExJOvB+W0BTDdj7A/3fBkIGCrnSwdzKKOG5jovJhXzsZmOK1waG4tGW7mIWd/fQtgshhAhO4eYGhZMTNAA0mZlCFx93iu9gTdQanMk8g/W91qOPd5/akyzCqigALO41vbTxBHrOB2QKoMNLgEK8k0JMblk11h6Iww+X03n8xNRYhpd7BGBi9wCYKcXIddQVKj4IIaQeqHNyUbT9WzhNmcJPrbB8h+e76yB3cOB3s4iIbalsvrYZ38V9B61ey3Md6WVS4FFYNeXA6XXAuU3Ac78C3h2l+S7ThF3pqFZr8cmZZGw6moiKe7mOx1q5Y96AULjbmqExouKDEEIeMr1Gg5RRo6BhIVJXN9g99SSfN/bwgIjUOjV+iPsBm69v5gUI09urN2a1mwVv698uDhWKTgdc/xY4sgQoz5Hmbv/8W/EhYOGh1+tx4HY23t4bg7RCKdfR0tMGi4dGoK1Pw891/BUqPggh5CEzUijgMO55lO7ZC9PwMIjsTMYZ3hI9qSSJj4PsgjCv/Tx0dLv3Ji6i1PPA/tekm2YZO18p1xE6GKK6nVmCt3ZH43ySlOtwtjLhKx2Pt/aATCZeoVTXKHBKCCF1rDo6GjkrV/FbZk3DpdMUeq2WX8kuamAwuSSZ5zpOZZziYzsTO0xpPYX37GDbLcJi7dAvfCB9zq697z4L6DQJUBj+2vg/k19eg3cOxmF7VBrPdZgoZLxXB8t2WJgI/Dr/DRQ4JYQQAyr45FNUXryI3HXvwvujbXxO1O6kbFuFtUPfHrsdGr0GCiMFng57GhNbToS1sgH8AujanL26QJsxQO9FgKWYwV2VRofPzibj/SOJKKthMWPwrqTsFIunncD33TwkVHwQQsi/pFOpAI0GMnPpTcR51kxebDhNnwbRbby6EdvjtvPPe3j2wOx2s+Fr4wthcx03fwCU5kDYUGmu5SjAvbXQ/ToOx+Ti7T3RSCmo5HPNPViuIxztfcW8sK4+UPFBCCH/QvmZM8h+cwmsI/vDefZsPsc6k7qvWglRsTborBsp81KLlxBdEI3JrSajs0dnCCstSsp1ZFwCrNyBgN6A0kLqUipo4RGbXYplu2NwOjGfj52sTDA3MgRPtPFsErmOv0LFByGE/Avsant1WhpK9x+A49SpkAl42+x97JjsqoureO7kvd7v8Tkncyd8PfhrCKskAzj8hrTiwbBW6B1elK68ZwTM0BSU1+Ddw/H45kIqdHpAqZDhxa5+mNQrEJYNPNdRV+hVIISQB6ApKIA6KxtmzSL42LJnT7i9/TasB0QKXXjcX/FggVIjGCG1NFXcY7OMqhI4+z5w+l1Aw46hGgGtngH6LAKsXCFqruOLcynYcCQBZdVSrmNQc1fMHxgGL/uml+v4K3TahRBC/qbKy5eRNvFlyG1t4b9nN2QmYp6ouE+r0/KW6L+/1v7H+B/RxqUN/G38ITR2fPaTex1UvToBA1dK2Q4BsbfRo7Es1xGDpPwKPhfuZs1zHZ3873VZbQJK6bQLIYTUPdPQUMjMzCC3sYE2Px8yQZuEMRezLmJV1CokFifi+yHfI8Q+hM+PCB4BYZXn/nZaxbsT0Gky4NkWiBgu5PYKk5BThrf2xOBkfB4fO1oqMbt/CEa284K8iec6/goVH4QQ8l9Ux8Wj/NhROL78Mh/LLCzg8/VXMPb05O3RRZRWmoZ3Lr+DI6lH+NhKaYX08vTa4kNIpVlSZ9LoX4ApUdJdLMyA5RBVUYUK6w/H46sLqdDq9FDKZRjX1RdTegXCytTY0I8nPCo+CCHkT2jy85EyYgT0ajXMWreBRccOfF7pLWZOolxVjq03t+Kr6K94e3S5kRwjg0fyUyy2prYQkroKOLtRuotFLR1DRcJBoN14iEqt1eGr83ex/nACSqrUfC4ywgULBoXBx8HC0I/XYFDxQQghv9u7v9+BVOHoCNuRI6ApKISxhztEznXsTNyJ966+h8JqqVV3Z/fOmNNuDgLtAiEkFjW8vQM49AZQkirNeXYABqyUtlkEdSwuF8t2R+NOnpTrCHW1wuIh4egc6GjoR2twqPgghDR5rOgoP3EC+Zs2w+uDzbzwYFwWLhS2MykTlR3F72GJLYzlYx9rH150dPfsLmwbd94o7KvhQNIxaWztAfRbCjR7QthcR2JuOZbticbxOCnX4WChxMz+wRjV3ptyHf8QFR+EEKLXI3/jJlTfuoX8rVvhumABnxa18GD9OtZdXodDdw/xsZWxFV5u+TJGh46GsVzwvAHLyrBTK+w0S9fpQOepUsdSAZVUqrH+SDy+PHcXGp0exnIjPN/ZF6/2CYI15Tr+FTpqSwhpkrTFxZBZWdUWGJVXrqLsyGE4vvIK5JaWENmLB1/EhawLkBnJMCJoBCa3ngx7U0FbdaurgfObAb/ugGc7aa6mDKguBWzEPC2k0erwzcVUrDsUj+JKKdfRN8wFCweHwc+Rch118f5NxQchpMkp/vFH5KxZC5c5s2E7QuCjp/fo9DoeIr3fEv12/m2sv7Ke38Mi7CkW9tYS8ytwcBFQfBfwaAe8eFjYrZX7TiXk8avu43PK+TjYxRKLh0SgaxDlOv4X6vNBCCF/QVteDl1JCUr37hW++LiZdxPLLixDR7eOmNl2Jp+LcIzAtv7SbblCyroB7J8P3D0tjdldLB0mSAWJoMVHUl45bxJ2JDaXj+3MjTGzXzBGd/CGQi7mseqGjIoPQkijV5OUxNtzm/j78bH900/zLqU2Q+/djCqwopoifvFbVnkWXm7xMsyNxcxH1DYJO/oWcOVLtvQBKEylTAfLdrBL4ATEjsu+fyQBn59LgVqrh0JmhDGP+GB6n2DYmFOu42Gh4oMQ0qiV/PILMhe+DvO2beH92af8FIiRUgnbYcMgokp1JeKL4tHKuRUfd/Pohrnt52Kg30CxC4/7PTqufCF9zrqS9lsC2IrZF4U1Bvv2Xq6jsELF53qFOGHh4HAEOoud+WkMqPgghDRq5u3a8VApa4uur6yEkYWFsLmO3Um7seHyBlRpqrBn+B7YmdrxYmlM+BgIiW2jlOf8dtFby6eBu+eANmOk9uiCOpuYj6W7oxGbXcbHrNh4fXAYeobca+1OHjoqPgghjUr5mTNQpaTA/pln+NjYw4NfAqf0vNeyW0DXcq/xfh0382/ysYelBzIrMnnxIazsW8CB+UDBHaklOttWYcdoh22CqO4WVPBcx8HoHD62MTPGjL5BeKaTD4wp11GvqPgghDQaVdeuIe2FF2FkbAzLHj1qCw5RC4/simy8e/ld7E3ey8fmCnNMaDGBr3TcP9kinIp84Ogy4MrngF4HsOdMjwL8e0JUZdVqbDyaiE/PpECl1fHGYGM6+WB63yDYmisN/XhNEhUfhJBG0xLdtGVLWHTvBqWvL+RWVhAV21b57NZn+OTWJ6jWVsMIRhgWOAxT20yFo5mgRzo1KuDiVuDEaqCmRJoLHyblOux8IWqu44dLaVh7MA755VKuo3uwExYNDkOQi7jfH00BFR+EkAZJr9Wi+IcfUbJzJ7y/+BwypZIXIV5btgh74ywrlNgqB1vtyKmUlv7bOLfBvA7zEO4QDmFVlwBbewGFd6SxawvpHhbfLhDV+aQCLN0VjeisUj72d7TA60PC0CvEWdzW800IFR+EkAZJX12NvE0boc3LR8nPP8Nu1Cg+L2rhcSv/FlZeXInredf52N3CHTPbzUR/n/7ivxma2gAuEUBNKdBnMdDqGUAmZuv51IJKLN8bg/23s/nY2lSBaX2D+TaLUiHm90ZTRMUHIaRBXXN//9I3mYUFXOfPhya/ALZPPAGRaXQazDo+i4dIzRRmeLH5i3gu/DmYsj4YIqooAE6ulnp03G+BPvgdqW+HqZidp8trNNh0LBEfn0rmuQ5239vTHb0xs18I7C0o1yEaKj4IIcJj2xV5765H4aefwvuTj2Hevj2ftx40CKKq1lTDWGYMuUwOhUyBGW1n4FTGKUxrMw3O5oIe6dSqgaiPgOMrpK2WqmJg+IfS1yzFfGadTo8fL6dj9QGW66jhc10DHbFoSDhCXCnXISoqPgghwmPbEtqSEujVapQdPlxbfIjqSOoRrLq4ChNbTMQTwdKqzAC/AfxDWAmHgAMLgPx4aezSDGgtHVcW1cXkQizdfRu3MqRch6+DOW8S1jeMch2io+KDECKkiosXYRIQAIWDAx87TZsKy149+RFa0WWUZSCrIgs/xP+A4UHDxX4jzIsDDiwEEg9JY3NHoPfrQJvnhM11pBdVYsW+WOy5kcXHViYKTO0ThLGdfSnX0UBQ8UEIEU7uhg0o+GALbJ98Em5Ll/A5hb09rHqK2UsirzIPeVV5tSdWRoeO5gXHiOARYhcezLVvpMJDZgx0nAj0mCsFTAVUUaPBB8fvYOupJKg0Uq7jqfbemNU/GI6WgvZFIX+Kig9CiHAsu3RBwdZtMFIo/tDHQzQ12hp8Gf0ltt3YxnMcPz/6M4zlxvxD2JboWg1Qmf9bS/Rus6QW6d3nAA4BEDXXseNqBlYfiEVOqZTr6ORvz6+6D3cXMwBL/hoVH4QQg9LrdCjZsRMyC3NYDxhQex9L4OFDMHZzg4hYQXTo7iGsu7wOGeUZfM5aaY2C6gK4Wtx7UxdR4hEp12FiDbxwULrenp1eeXwLRHX5biHv13E9XWps5m1vjgWDwhAZ4SJsUUoeQvFx8uRJrFmzBpcvX0ZWVhZ27NiBYfduh1Sr1Xj99dexd+9eJCUlwcbGBn379sXKlSvh7u7+oP8qQkgTwAqPrIULIXdyhEXXbpBbShe/iVp4xBTE8HtYLuVc4mO24jG9zXQM9h8MmZGgeYP8RODgQiB+vzQ2sweKkgF7f4gqs7gKK/fF4tfrmXxsaaLAlN6BGNfFFyYKMbMo5CEWHxUVFWjZsiXGjx+P4cOH/+FrlZWVuHLlChYtWsT/TlFREaZNm4ZHH30Uly5J/6ESQsjvt1Jshg5B0Tff8GOzMqUxRJVflY+NVzfi54SfoYee370yrtk4jIsYJ+5V91VFwIk1wMUPAZ0GkCmADizXMQcwE/PSukqVBltOJGHryTuoVuv44syTbb0wKzIYzlaC9kUhD8xIz34K/EPsh8fvVz7+TFRUFDp06IC7d+/C29v7f/5vlpaW8hWTkpISWFvTXh4hjYmuogL5H32EmphYeH6wubYAYVsvonYmVWlV+CrmK2y9sRUV6go+N9BvIGa0mQE3SzFXZ7i8eOCTSKCqUBoHRQKRbwOOQRAReyv65VomVu2PRVZJNZ/r4GuPxUPD0cxDzAAs+efv3w8988Eegv2AsbW1/dOv19TU8I/fPzwhpHHSFBWh8ONPoFepUBkVBYsOHfi8iIUHezM8mnoUay+tRXp5Op+LcIjg97C0dm4N4bHwqLUHYOEEDFgOBPaFqK6mFmHp7mhcTS3mY087M57rGNjMlXIdjdRDLT6qq6sxb948jB49+r9WQStWrMCSJdJROkJI46POyYWxi3Pt1fbOs2dD4eoifKMwFh6df3o+v4HWycyJdyYdGjBU3FxHwR3gzAZg4CrA2Ezq0fH0dsDSBZCLuZ2VXVLNVzrYSRbGXCnH5F6BeKGrH0yNKdfRmD20bRcWPn3iiSeQnp6O48eP/9fi489WPry8vGjbhZAGTlddjayFr/OOpP579kDpee+OEIGVq8phqbSsHX9882O+1cLuYhE218HaoJ9cA5zfAujUQK+FUq8OgVWptNh6MglbTtxBlVrL555o44m5A0LgYk25jobK4NsurPB48sknec7j6NGjf/kQJiYm/IMQ0rgYmZjwi+DYFkvF6dNQjnoKIvsq+itsvrYZG3pvQHtXaVXmheYvQFg6LXD1S+DoMqAiT5pjWyvhj0FU7HfdXTeysHJvDDLv5Tra+djxe1haev351jxpnBQPq/BISEjAsWPH4HCvNTIhpHFjbyxlBw/BqldPGCmVfGXUdfEivgJiFhEB0SWXJKNMXYadiTtriw9hJZ8C9s8Hcm5KY4cgIHI5ENwforqeVsxzHZfvFvGxh60ZXhsYiiEt3CjX0QQ9cPFRXl6OxMTE2nFycjKuXbsGe3t7uLm5YcSIEfy47e7du6HVapGdnc3/Hvu6UknXGhPSWGVMnYqyQ4fhPHcuHMaP43PsbhZRJRYl8k6kPtY+fDy59WQ0c2yGRwMehfAubJEKD9YGvcdrQPsXAYWYP19zSquxen8cfroihXbNjOV4pWcAXuruT7mOJuyBiw/Wr6NXr16145kzZ/I/x44dizfffBO//vorH7dq1eoP/xxbBekp6L0MhJB/j134Vn7mLIwEbwBVVF2ETdc24cf4H9HJrRM+6PsB/83b3tQejwc9DiFVl0p9OsztpXH/twArN6DnfMBCzNXlarUWH59OxqZjiahUSbmO4a09MGdACNxszAz9eKShFR+sgPirjOq/yK8SQhoItpVS+OmnMO/YEeZt2vA5m8cfh0X37jB2lk62iEatU2N77HZ8cP0DlKnK+JypwpTfz8L+FJJOB1z7GjiyVMpzPP6BNM86kw5eCxGx94B9t7KxfG8M0ouq+Fxrb1ssHhKO1t5iNjYj9Y/udiGEPLD8jRtR8NHHMI2IgO8P3/M+HUZyubCFx8n0k1gTtQYppSl8HGIXwvt1CJ3tuHsW2P8akHVdGqdHAaoKQCm1nxfRrYwSnuu4mCw1NnOzMeW5jkdbulOug/wBFR+EkL/l911I7ceNQ/mJk7Bn2Q6B31SSipOw+tJqnMk4w8dsa+XV1q/i8cDHIWd9MERUdBc4tBiI3imNTViuYy7Q4SVhcx15ZTVYeyAO319OA1v8NjWWYWL3AEzs4Q9zJb3NkP9E3xWEkL+kzs1F3rvrITMz46dXGIWDA/x+/UXY32ZLakr4sdnv4r6DVq+FQqbAmLAxmNBiAqyUVhBW4mHg26cBbQ1r+wq0GSv17bB0gohqNFp8cjqF5zrKazR87rFW7pg3IBTutpTrIP8dFR+EkL+kSklByY4dgEIBh5cmwNhVujJexMJDo9Pg+7jvsfn6Zl6AML28emF2u9nwtv7fd0sZnGd7wMQKcO4ADFgJuDaDqLmOA7dZriMWqYWVfK6lpw2/h6Wtz71QLCF/gYoPQsh/vLFosrNrr7Rn9684TpoEy+7dagsPUcUWxmLFxRX88yC7IMxtP5efaBFW6gXgxnfA4Hek7St2dPal44CNp7DbWdGZpXhrdzTOJRXwsYu1CV/pGNbKAzKZmM9MxEPFByHkD/ewZM6aBdXduwjYvw8yCync6DT1VYiqVFUKa6XURZn16Xgm7Bn42/hjeNBwvt0ipOI04PAbwK2fpLFvF6DZE9Lntl4QUX55Dd45GIftUVKuw0Qh4706Xu4RAAsTQV9nIiz6jiGE1JLb2UKdkwNtaSmqbtyAxSOPQFRqrRrrLq/DjsQd+OnRn+BhKd0d81qH1yAsdlrl9Hrg7HuAhrUXNwLajAF8u0FUKo0On51NxvtHElF2L9fBupKyUyyedoLed0OER8UHIU2YTqXiLdGtBw/iGQ6ZUgmPtWugcHKCsbs7RMZWNRKKEvjFbwdSDmB8s/EQFuvXcfMH4PCbQFmmNOfTBRiwAnBrCVG33w7H5OLtPdFIKZByHc09pFxHe1/KdZB/h4oPQpoovVqN5MeHQ3XnDmQW5rC617nYrKWYb4bM+azzCLMPg42JDS+W2CpHbmUuOnt0htj00moHKzxsvYH+y4CwR4XNdcRml2LZ7hicTsznYycrE8yJDMGINp6U6yB1gooPQpooI2NjWPXuhZJS1rpbB5HdLb2LtZfW4njacZ7puL+1EmgXyD+EVJIBmDsAxqYA6ynCTq+kXwQ6TZbmBFRYocK6Q3H45kIqdHpAqZDhxa5+mNQrEJaU6yB1iL6bCGkiNAUFyN+0CQ4vvABjDykf4fjKK3B8+eXaYKloWBv0rTe24quYr/gxWrmRnH+wLQERj/pyqkrg7PvAmfVAt1lA99nSvF836UPQXMeX5+9iw+F4lFZLuY6BzVyxYFAYvOwp10HqHhUfhDQRWa8vQvmxY9AWF8Nj3To+JzMX841Fq9Pi58SfsfHqRhRWS626u3p0xZx2c+Bv6w8hsSMg7PTKoTeA0vTfWqSzeUELJVbEHYvL5VssSfkVfC7czZrnOjr5i3lhHWkcqPggpJHilzyyFYJ7LdHZcVlNfj7snn4aIovKjsKqi6sQVxTHx342frzo6OYp5qoBl3EZ2D8fSLsgjW28gH5LgIjhwhYeCTll/B6WUwlSrsPRUonZ/UMwsp0X5JTrIA8ZFR+ENEI1CQnIWbGCX3NvP3YsnzMNC4Pv998Ju12RVpaGdZfW4XDqYT5mbdAnt5qMJ0OehLHMGMK6sBXYN0f63Ngc6DoT6DwFMBazvXhRhQrrD8fjqwup0Or0MJYbYXwXP0zpHQgrU4FfZ9KoUPFBSCNUefUqKs6eQ3V8AmxHj+ZHaBkRC49yVTm23dyGL6O/5Nfes0zHyOCRvPCwNbWF8AL7AHIToNlwoM9iwFrMI8pqrQ5fnb+L9YcTUFKl5nP9w114rsPXUczMD2m8qPggpJEcm2WB0vvtz22feAKq5BTYPf1b4SGqE+kn8MmtT/jnj7g9wluiC3uChW1lsdtms28BfaRL9uAQAEy7DlhL7ehFdJzlOvbEIDG3nI9DXa2weEg4Ogc6GvrRSBNFxQchDVx1dDQyZs2GzNISvt9t5xkPI7kcLvPmQlTs0jfWq4MZ6DcQJ9NP8j97ePYQcnWGy7wm5TpSz0qdScOGAO6tpa8JWniwYoM1CTsWl8fH9hZKzOofjFHtvSnXQQyKig9CGjjWjVSTmwujkhKo09Kg9PGBqIqri7H0/FJcy72G3Y/vhrmxOWRGMqzqvgrCKssBji4Frn4tNQtTmAFdpwOOIRBVSaUa64/E48tzd6G5l+t4vrMvpvQOgo0Z5TqI4VHxQUgDw47KVpy/AOsBkbXFh+emTTCNCIfcygoiY8VGTEEMCqoLcCHrAnp5S11VhaSpAc5tAk69A6ik7Qo0Hwn0fVO6dVZAGq0O31xMxbpD8SiulHIdfcOcsXBwOPwo10EEQsUHIQ0IOyqbNHgItOXlMAnwh0lQEJ+36NQRItLpdTh09xD6ePfhd7Eo5Uos67oMlsaWCLEXd+WAU1cB5zZKhYdHW6lDqVcHiOpUQh6/6j4+RyqUgl0ssWhIOLoFORn60Qj5D1R8ENKAKBwdYd6hPVR3U6GrroHIruZexcqLKxFdEI0FHRdgdOhoPt/WpS2ElZ8AOARKvTnMbIEBqwC9Fmj+JHCvX4pokvLKsXxvDL8EjrEzN8bMfsEY3cEbCrmYz0wIFR+ECKwmKRkFW7fCdfGi2m6kbsuW8XboRgox//PNKs/iV93vT9nPxxbGFpBB8DfB8lzg6DLgyhfAyM+AiGHSfIuREBU7Lvv+kQR8fi4Faq0eCpkRnu3kgxl9g2FjTrkOIjYxf3oRQqDX6ZA+aRJUKSn8envWoZSR20inRERTqa7kR2Y/u/0ZarQ1MIIRhgcNx5TWU+Bo5ihuruPCFuDEGkBVJs2lR/1WfAiINQbbHpWKdw7G84vgmF4hTjzXEehsaejHI+RvoeKDEIHotVp+TJZhR2adZsxAyY4dsB46BKJiuY49SXuw/sp6fr09086lHeZ1mIdQ+1AI268jbi9wYCFQlCzNubWSch0+j0BUZxPzeUv02GypUGLFxuuDw9AzxNnQj0bIA6HigxBBVJw7h5zlK+A8exZvi85Y9e8H68j+ENX1vOtYfXE1buTf4GMPSw/MajcLfb37ituvg9k7G4j6SPrc0gXo8wbQcrSwuY67BRV4e08MDkbn8DE7Lju9bxDfZjGmXAdpgKj4IEQQ5adO8ztZ8rd8WFt8iPoGnl2RjXcvv4u9yXv52FxhjgktJmBM+BiYsFbjogsdAlz5UrqDpesMwETMI8pl1WpsPJqIT8+kQKXV8cZgz3T05rkOOwuxO9cS8leo+CDEQLRlZdCrVFA4SFeXO77yMozkMji88AJE91PCT7zwYLmOxwIfw9TWU+FkLuiRTo0KiNoGsMvpOr4kzQX0AmbcAiydhc11/HApDWsPxiG/XMp1dAty5Edng13ELJQIeRBUfBBiAGXHjiFr4euw6NwZHmvX8DnWIMx51iyISK/Xo7imGHamdnw8LmIc7hTfwQvNX0CEQwSEzXXEHwAOLgQKEgGlpRQkvV9wCFp4XEgqwJJd0YjOKuVjf0cLvD4kDL1CnIVdCSPkQVHxQYgBKJydoS0qQnVMDHQVFfzorKhSSlKw6MwiaHQafD34a94OnXUqXddzHYSVGyPdw5J0TBpbOAG9FwHm0iqTiNIKK7FiXwz23szmYytTBab1CcJzj/hCqaBcB2lcqPggpB6oUlNRk5QEq549+dgsIgJeH22DRYcOMDIWuyeDpdISCcUJ/FRLYnEigu2CIazKQuDYcuDSJ1JzMLkS6PQK0G02YGoNEZXXaLD5WCI+Op0MlUYHdt/b0x29MbNfCL8IjpDGiIoPQh6yquvXcffZMTAyN0fA/n1Q2ElbF5ZdukBE1ZpqHEs7xm+ZZViPjtXdVyPELgQuFi4QWmUBcPlTqfBgodL+bwH2/hCRTqfHT1fSsfpAHPLKpG61XQIdeK4j1FXMQomQukLFByEPmWlEBJR+frw1ur6yErhXfIiY6zhw9wDevfQuMisy+ZX3nd0786919+wOobdYnMOkzx2DgP7LAJcIwE/cZ45KKcTSXdG4mVHCx74O5rxJGLsEjnIdpCmg4oOQOlYZFYXiX36B29KlvFEYa4Pu88XnkNnYCPvGwu5fWXVxFa7kXuFjF3MXnvEQWl48cGABkHgYmHgCcGspzbNtFkGlF7FcRyz23MjiYysTBV7tE4ixnX1hopCayxHSFFDxQUgd0paWIm3iy9BVVsKiY0fYDB3K5+W2thBRflU+NlzZgF8Sf4EeepjKTTG+2Xg83+x5mCnMIGyu48Qq4OI2aXuFHaHNuPJb8SGgihoNtpy4g60nk1Cj0fF760a1Z7mOYDhZNYC+KITUMSo+CPmX9BpN7SVvcmtrOE56Bar0dFgImulg2N0rX0Z/iW03tqFSU8nnBvsPxvQ20+Fq4QohaTVSnuPY20BVkTQXPBCIfBtwCICouY4dVzOw+kAsckqlXEcnf3ssHhKBcHfKdZCmi4oPQv5FRqJkx07kvf8+vD/aBpMA6Q3Q4cUXIfIzH049jHcuvYOM8gw+19yxOb+HpaWTuCsHvGfHF48Bd09LY6cwYMByIKA3RHX5bhG/h+V6WjEfe9ubY8GgMERGuAi7/UZIfaHig5B/iL2BlB06BE1WFgo/+wxub70FkcUWxvJcx6WcS3zsbOaM6W2n8xUP1rtDaOzNmjUIy40Gei0A2o4D5GL++MosrsKq/bH45VomH1so5ZjSOwjjuvjC1JhyHYQwYv7XS4ig1BkZkNvbQ2Ym5SFc5s2Febu2sBszBqL7+ObHvPBgd688H/E8z3awZmFCqioGTq4BvB8Bwu7d6MsKjuYjADMxTwtVqbQ81/HhyTuoVku5jifbemFWZDCcrUwN/XiECIWKD0L+psIvv0Lu2rVwmDABTlMm8zmlr6+wd7GotCpUaar4kVmGrXLIZXJ+D4u7pTuEzXVc+VzKdbCeHTG7gKD+gEIprXQIWHiwraxfr2di5b5YZJVU87kOvvZYPDQczTyk154Q8kdUfBDyNykcHaCvqUHVzRv8DUfkfftL2Zew+OxinudY1X1V7XX3K7uthLCSTkgt0XNvS2PHECByuVR4COpaWjGW7LqNq6lSrsPTzoznOgY2cxX6+4MQQ3vgjd6TJ09i6NChcHd35/9x7dy58w9fZz+UFy9eDDc3N5iZmaFv375ISEioy2cmpF5UXr2KyitS3wvGasAAeH/6Cby2bBH+jYVtp6SXpSMqOwolNVIjK2EVJgPbnwG+eFQqPNjqxsA1wCtngKC+EFF2STVmfncNwzad4YWHuVKOOZEhODyzBwY1dxP++4OQBld8VFRUoGXLlti0adOffn316tV47733sGXLFly4cAEWFhaIjIxEdbW0HElIQ1Cyaxfujn4aWYsWQ69W8zn2hmLxyCNCvrEUVhfi0N1DteNwh3B+8dvux3fXbrsIqzAJiN0NGMmBDhOBV68AHV8C5OLdeVOt1uK9IwnotfY4fr4qnRZ6oo0njs3uicm9AilQSsjD2nYZOHAg//gzbNVj/fr1eP311/HYY4/xuS+++AIuLi58hWTUqFEP+q8jxCAse/SA3MEBZq1aQldTA7mgl7+ptWp8E/sNPrz+Ic937HhsB3xtfPnX+vqIuWoAnRbIi5VaoDOBfYCeC4DwxwDnUIiI/WzbdSMLK/fGIPNerqOtjx0WDwlHSy8xG8gR0mQyH8nJycjOzuZbLffZ2NigY8eOOHfu3J8WHzU1NfzjvtLS0rp8JEL+1htL6e49qI6NgcucObXNwtglcHIrK4j6zCfST2DtpbW4W3qXz4XZh6FaK/gKY/IpKddRlAJMvQJYOkvzPedBVDfTS3iu49JdqbGZu40pXhsUhqEtaHuFECGKD1Z4MGyl4/fY+P7X/r8VK1ZgyZIldfkYhDyQmoQEZN4rOqwjI2HWogX/XNTCI6EoAWui1uBc1jk+tje15ydYhgUO46dZhM11HFoknV5hTG2AnNu/FR8Cyi2txpoDcfjxSjrvcWZmLMcrPQMwoZs/zJSCvs6ENBAGP+0yf/58zJw58w8rH15eXgZ9JtL4sRyH0b2tFNPgYNg98wwUTo4wCQ6GqIqqi7Dp2ib8GP8jtHotjGXGeDb8WbzU/CVYKi0hpJoy4NQ7wLlNgFYFsGZmrF9Hr4WAhQNExHIdH59OxuZjiahQafnc8NYemDMgBG42gt53Q0hTLj5cXaU7IXJycvhpl/vYuFWrVn/6z5iYmPAPQuqDXqVCwccfo+iHH+D/88+1F765LnodolLr1Pgu9jtsvr4ZZaoyPtfHuw9mtZ0FL2uBC3V1FbCpI1AqBTPh1wMYsOK3rIeAW1n7bmVj+d4YpBdV8bnW3rY819HaW7z+IoQ0ZHVafPj5+fEC5MiRI7XFBlvJYKdeXnlF3GuuSRMik6F07z5oMrNQvGMnHMY9D5GdSj+FNZfWILkkmY+D7YIxr/08dHDrAOEZmwFhQ4GEg0D/t4GQgVKbdAHdyijh97BcTC7kY1drU7w2MBSPtnSHTCbmMxPSkD1w8VFeXo7ExMQ/hEyvXbsGe3t7eHt7Y/r06Vi2bBmCgoJ4MbJo0SLeE2TYsGF1/eyE/O1MhzIwkIcD2e2zrosXQZ2TC+vBgyAynV6H96++zwsPluuY0noKhgcOFzfXUZwKHH4T6DoDcG0uzfVeBPR7S9hGYXllNVh7IA7fX07juQ4ThQwTewTg5R7+MFcafFeakEbLSM/WGh/A8ePH0atXr/+YHzt2LD777DO+dPnGG29g69atKC4uRteuXbF582YE/829dLZSwk7IlJSUwNqarpwm/072srdR9PXXcF+zBjZDBkN0rCGYUq6EmULKFlzOuYxjqccwseVEWCnFDMCiphw4/S5w9n1AWyNtr4z9FSKr0WjxyekUbDqWiPIaDZ9jqxzzBobCw5ZyHYT8Ew/y/v3AxcfDRsUHqUv5H3yAvA3vwX78eLjMlU60iGp30m6svLgSz4Q+g1daNYBtSp0OuPEdcGQJUJYlzfl2AwasBFybQUTsx92B2zk815FaWMnnWnra8HtY2vrYG/rxCGnQHuT9m9YVSaPB3ljKDh6CSXAQTPz8+Jz9uHGw6NwZZi1bQnQKmYKvfJzKOMVXOoS+5j4tCtg3F8i8137e1geIfBsIHSJsriMmqxRLd0XjXFIBHztbmWDegFA83tqDch2E1DMqPkijkbd+Awo+/JB3J/X6cAufk5maClt4sCxHZnkmunh04eNIn0gY9TDiJ1mELjwYVnSwD3bEt/tsoNMkQCHmqbX88hqsOxSP7RdTobuX63ipuz9e7hEACxP6EUiIIdB/eaTRsHnsMZ7vMI2IgF6rhZFczGAmW93Ycn0Ltsduh7WJNb9/heU5WCA20jcSQlJVAMVpv7U/bzceKM+R7mKx+mNTQVGoNDp8fjaF38VSdi/XMbiFG+YPDIWnnbmhH4+QJo2KD9Ig6VQqFH35JSCXw+F56bisib8fAo8fh9zSAiLS6DT4Kf4nbLy2EcU10hXsEQ4RqFRXihsmZbmOmz9Ip1jYysbkC9Kf7NK3Posh6vbb4ZhcvL0nGikFUq6juYcNFg0JRwc/ynUQIgIqPkiDVH78OHLXrIWRmRmsBw2CsbPUplvUwuN81nmsurgKicXSMXV/G3/MbT+3dstFSOmXgP2vAelR0tjWGyi6CziJ2wU2LrsMb+2OxunEfD52sjLhV92PaONJuQ5CBELFB2lQqx0ypdQvwqpfP1hFRsKyV08oHB0hqtTSVH7527G0Y3zMrref1HISRoaM5O3RhVSaKa10sJMsjLEF0G0m8MgUwNgUIiqsUGHdoTh8c0HKdSjlMrzQzY9fc29JuQ5ChEP/VRLhaUtKkLvuXVRduwa/n37kjcJYPsJzw3qIirVB33pjK76K+Ypvt8iN5Hgq5ClMajWJFyDCYrfNbn4EUEvbFWj5tLS9Yv3bdQmi5Tq+PH8XGw7Ho7RaynUMbOaK+QPD4O1AuQ5CREXFB2kQyvbv50VIxdmzsOzeHaLS6rTYkbiDdyYtrJZadbOtlbnt5sLf1h/Cs/MFfLpIF8Kxe1g82kDUXMexuFws2x2DpPwKPhfmZs3vYXkkQMwL6wghv6Higwj5xlITGwvTsDA+ltvYwHXpUigc7GHerh1EVq2txsarG3nh4Wvtiznt56C7p7jFEjKuAMeWA49vASzubV+N+AQwsRK2X0dCThne2hODk/F5fOxoqcSs/iF4sp0X5JTrIKRBoOKDCHfVfdrLr6DizBn4/vA9zJpLd4RYR/aHqLLKs+Bq4cq3giyMLXjBUVRdhKdCnxI415EFHH0LuPa1ND6+Ehi8VvrcVMzOwsWVKqw/nMC3WbQ6PYzlRhjfxQ9TegfCylTQ15kQ8qeo+CBCMTI2hsLRgf9ZHRNTW3yIivXrYNmOZV2WYZC/dFHdYP/BYl9zf24TcGodoJa2K9BilBQoFZRaq8PX5+/i3cMJKKlS87n+4S5YMCgMvo5inm4ihPw1Kj6IwVc6ir77HjaPDoX83l0AzrNnw3HKFCi9vCA61olUrVPjbObZ2uJDWNG/AAdeB0pSpbFne+keFk9xt7KOs1zHnhgk5pbzcairFe/X0SVQ3BNOhJD/jYoPYlAZM2ei7NBhqNPS4DL/NT6ncHKCqNgts2wrpYVTCz5+Lvw5hNqHoptHNwgv5bRUeFh7AH2XAM1HCJvruJNXjmW7o3EsTsp12FuwXEcwRrX3plwHIY0AFR/EoGyfGoXKy1f4ZXAiyyjPwLpL63Dw7kGE2IXguyHfQS6Tw1RhKm6gtCwH0FRJJ1iYnvMBC2fgkUmAUsztipJKNTYcScAX51Kg0emhkBnh+c6+eLVPEGzMKNdBSGNBxQepN9riYuRt3MRPrFgPkO4wsezaBYGHD0FmLmZPBtb6/KObH+Hz259DpVPxbRa26lGjrYG5TMxnhroauPABcPId6ajsc79IKxzm9kCPORCRRqvDtxdT+QVwRZVSrqNvmDPPdfg7WRr68QghdYyKD1JvWLaj6KuvUH70KKx694LRvW6lIhYeOr0Ou+7swoYrG5BXJS39d3DtwFuih9iHQEh6PRCzCzj4OlB8V5pj/TqqiwEzO4jqdEI+b4kel1PGx8Eulnh9cDi6B4u7/UYI+Xeo+CAPla66ml9rz9g/NwaVly/BYdy42sJDRFdzr/J7WG4X3OZjT0tPzG43G729e/PjtELKugEcWACknJLGlq5A3zeBFk8BMhlElJxfwS9/Y5fAMbbmxpjZLxhPd/CGQi7mMxNC6gYVH+ShUKWlIWfZ2/zWWa/Nm/iczMwM3lu3QuR+He9efhf7UvbxMevZ8VKLl/Bs2LNQysUtlpB0HPhiGFv6ABSmQOdXgS7TARMxtytKq9V4/0gCPjubArVWynWMecQH0/sEw8acch2ENAVUfJCHQq9SofzMGf656u5dKH18ICqW6/jk1if47PZnPMthBCM8HvQ4Xm39KhzNGsCRTtYO3TEIcIkA+i2Vbp8VEGsMtj0qFesOxqOgQsXneoY48S2WQGcxCyVCyMNBxQepE3qNBjXx8TAND+djk4AAuC15E2at2whdeDAFVQW8+GD9Otq6tMW89vMQ5iC1dhcy1xG3D7j8KfDU14BCCciNgQlHpZbogjp7Jx9Ld0UjNlvKdQQ4WfB+HT1DnA39aIQQA6Dig/xrmrw8pL7wIlTp6QjYtw/GLtIbiu0TT0BUaWVp8LKSmph5WXthWptpcLNwQz+ffuLmOnJuA/vnA8knpDErQDpOlD4XtPC4W1CB5XtjcOB2Dh9bmyowo18wnu3kA2PKdRDSZFHxQf41uaMjz3PIjI2hSrpTW3yIeuvs4rOLsTtpN74e9DWaOTbj82MjxkJYFfnS5W+s2NDrAJY/eWQy0OppiKqsWo2NxxLx6ekUqLQ63hiMBUlZoNTOQuD8DCGkXlDxQR6YtqwMRdu3S6dWFAq+UuC+aiXktrb8Q2SsMRi7NZd9RGVH1RYfQtLppH4dx1cBNSXSXNijUq7D3g+i5jp+vJyGNQfikV9ew+e6BTnyLZZgFzFXZwgh9Y+KD/JA9DodUp4aBVVSEuRWVrAbNYrPK33vddEUDCsy9qfs50XG/W2W6W2n45nwZxDhEAGhse2fxMNS4eHSHBiwAvATt437haQCLN0djduZpXzs52iB1weHoXeos7hbWYQQg6DigzwQI5kMdqNHo+ibb2As+MVvt/Jv8X4d1/Kuoa93X7zb610+72zuzD+ElBsLWDgBFg5S8RG5Akg7D7QeA8jkEFFaYSVW7IvB3pvZfGxlqsC0PkF47hFfKBWU6yCE/CcqPsj/7NeRu3oNHCZOhFkzaaXAbvQo2I16il97L6LcylzemfTXO7/ysZnCjHclZasgwv4GXlkIHF8BRH0MtBsHDH5HmncOlT4EVF6jweZjifjodDJUGh3YfW+j7+U6HCxNDP14hBCBUfFB/lL+xk0oO3QI2pIS+HzxOZ9jOQ8RVWuq8UX0F/wulip2oRqARwMexdTWU+Fi4QIhadVSwcEKD9YGnanIk/IegnYm1en0+OlKOlYfiENemZTr6BLowHMdoa7Whn48QkgDIOa7CDEYvVbLe3bITKTfXJ1mTIe2tJT/KSq2onHg7gG8e+ldZFZk8rmWTi15v47mTs0hrITDUkv0/Dhp7Bwh5Tr8e0BUUSmFvF/HzQwpAOvjYI6Fg8LQL9xF3FUlQohwqPggtaquX0f2kqUw79gRLvPm8jljV1d4fbAZooouiOa5jiu5V/jYxdwFM9rOwCC/QWK/GV7cBuydLX1u7gD0fh1oM1bYXEd6Ect1xGLPjSw+tjJR4NU+gRjb2RcmCjGfmRAiLio+SC22tVIdHQ11djacXp0i5G2z9+VX5fNcxy+Jv0APPUzlphjfbDyeb/Y8z3gIL2I4cGIV0PxJoMdcwEzMI8oVNRpsOXEHW08moUaj4xnYUe29MLNfCJysKNdBCPlnqPhownQVFVClZ8A0JJiPLbt3h8vChbAePEjowoO5U3wHOxN38s8H+w/G9DbT4WrhCiFpNVKDsNTzwBMfSadY2GmWadcBpQVEzXXsuJqB1QdikVMq5To6+tlj8dBwRLjbGPrxCCENHBUfTRRb4UidOBEypQn89+6pzXjYj3kWouY6UstS4WMt3RPT0a0jJjSfgB5ePXi+Q1h3jgL7FwB5MdK49TNAQG/pc0ELj8t3i3i/jutpUgDWy94MCwaGYUAzV7G3sgghDQYVH00UawpmxPIFMhnUGRkw8feHqEpqSjDj+Azet2P347tre3RMbTMVwiq4AxxYCMTvk8Zm9kCvBYBvd4gqq6QKK/fF4pdrUmjXQinH5N6BGN/FD6bGlOsghNQdKj6aCHVmJkoPHITDuOf5mG2reH+0DcY+PpApxb5rw1ppza+61+l1uJl3E318+kBYqgrpHpYLHwI6NSBTAO0nAD3nAWZ2EFGVSosPT97h2Y5qtZTrGNnWE7MjQ+BsZWroxyOENEJUfDSRIGnS0Ed5xsM0LBQWnTrxeZOgIIhIpVXh+7jv8XjQ47AwtuBL/Us7L+VBUndLdwhNZgzE75cKj6D+QP+3AScpUyPiVtav1zP5akdWSTWfa+9rhzeGRqCZB+U6CCEPDxUfTYDcxgY2w4ahJi4Ocjt7iIq9GR5LO4a1l9byK+/ZiRZ2DwsTYBsAYaWcATzbAwql9DHkXUCjAoL6QlTX0oqxZNdtXE2Vch0etmZYMCgMg5pTroMQ8vBR8dEIVV27htwNG+CxejUUTk58znneXN4OXdQ3lviieKyOWo0LWRf42NHMUeyCgylMAg4uAmJ3S3ewPDJJmvcTN9eRXVLNT7D8fCWDj82VckzqGYAXu/lTroMQUm+o+Ghk2OpB9ooVqL5+A3kbN8FtyZt8XtRcR2F1ITZd3YQfE37kmQ6lTIkx4WMwocUEvuUipOpS4NRa4PwHgFYFGMmBynyIrFqtxbaTSdh8/A6q1Fo+N7yNB+YNCIWLNeU6CCH1i4qPRkBXVQUjpRJGcjlf2XB57TUU//AjHCff+01cQGqtGt/Gfost17egTF3G5/r59MPMtjPhaeUJIem0wNWvgKNvSfevMOzYbORywDkMohaju29k8VxHRrF0301bHzssHhKOll5iNjYjhDR+VHw0cKWHDiFn+Qo4vvwy7J56ks+Zt27NP0R9MzyZfpLnOlJKU/hcqH0o5rafi/au7SG0ffOAqG3S5w6BUtHBQqWCbmXdTC/B0t23EZVSxMfuNqZ4bVAYhrZwE3b7jRDSNFDx0cBpsrL4R/GPP8L2yZFCv6mwrqQs13E28ywf25va8xtnhwUOg1zQO03+gF11f+snoPts6fgsC5cKKLe0GmsOxOHHK+nQ6wEzYzle6RmACd38YaZsAK8zIaTRq/PiQ6vV4s0338RXX32F7OxsuLu74/nnn8frr78u9BtjQ6HOyYG+qoo3CWPsRo8GjGSwHTlC+Nf3cs5lXngYy4zxbPizeKn5S7BUWkJINWXAqXXSkdn+y6Q5lwhgZjRgbCZsruPj08nYfCwRFSop1zGslTvmDQyFm42Yz0wIaZrqvPhYtWoVPvjgA3z++eeIiIjApUuXMG7cONjY2GDqVIE7UjYAZUeOIGPOXJiFh8P7yy94scFOsIjaEl2tUyOzPLO2JfoTQU/wrZbRIaPhZe0FIel0wPVvgCNLgfIcKUza7gXA3k/6uoCFB9vK2ncrG8v3xiC9SMp1sDwHy3WwfAchhDT64uPs2bN47LHHMHjwYD729fXFt99+i4sXL9b1v6rJMQ0L42+Oeo0GutJS3r9DVMklyZh2bBpvGPbLsF9gIjfhWyss2yGsu+eA/a8BWdeksZ0fEPk2YCetMonoVkYJ3todjQvJhXzsam2KeQND8FhLD8hkYq+EEUKarjovPjp37oytW7ciPj4ewcHBuH79Ok6fPo1169b96d+vqanhH/eVlpbW9SM1WFW3bqM6Jhp2I0fysbG7O3y//453JhV9i8XF3AUV6gp+qiWpOAlhDmKeBuHKcqSi4/bP0tjEGug+B+g4EVCIeW18XlkN3jkYh+8upfFch4lChond/fFyzwCYKynKRQgRW53/lHrttdd4AREaGgq5XM4zIG+//TaeeeaZP/37K1aswJIlS+r6MRq86rg4pIwcCSOFAhYdO0Lp7c3nTYODhb387aeEn/B8xPOQGclgbmyO93q/B28rb1gprSA0FnZNPALACGg7Fui1ELCULq8TTY1Gi8/OpOD9o4kor9HwuaEt3fHawFDepZQQQppk8fH999/j66+/xjfffMMzH9euXcP06dN58HTs2LH/8ffnz5+PmTNn1o5Z4eLlJWgeoB6ZBAfDomtXyG1tYWQibhMojU6DH+J/wKZrm3gBYmdix+9kYSIcIiBsriPpGBB474I6C0fgsfcBe3/AtTlExHIdB6NzeK7jbkEln2vhacNzHe18xW2ZTwghf8ZIz36q1SFWOLDVj8mTJ9fOLVu2jJ9+iY2N/Z//PCs+WDi1pKQE1tbWaArY/wvKDh5C0fZv4fXhh7XdSPUqFW8eJip2cmVN1BokFifycaBtIBZ0XCB2v460i9IWS8Zl4OkfgOD+EF1MVimW7orGuaQCPna2MsHcAaEY3ppyHYQQcTzI+3edr3xUVlZCJpP9YY5tv+jYb5vkT+mrq5Hz9tvQ5Oai+NtvYX9vhUjUwuNu6V2sjVqL4+nH+djWxBaTW03GiOARULAr5EVUkg4cfhO4+YM0Zkd8K3IhsoLyGrxzKB7bL6ZCpweUChkmdPPDpJ6BsDAR9HUmhJC/oc5/gg0dOpRnPLy9vfm2y9WrV3nYdPz48XX9r2rQtGVlkFtJWQiZmRmc586FKukObO+FS0VUqirFh9c/xDex3/DtFoWRAqNCR+Hlli/DxkTQkzeqSuDse8Dp9YCGHUM1Alo/C/ReBFi5QEQqjQ6fn03Be0cSUHYv1zG4uRvPdXjZmxv68QghRLxtl7KyMixatAg7duxAbm4uz3qMHj0aixcvhvJv/CbfFLZdCj77DPkbN8Fz0yZYdOwA0Wl1Wh4m3Xh1I4pqpFbd3Ty6YXb72fC38YfQPhsCpJySPvfuDAxYAbi3gojYf4pHYnLx9t4YJOdX8LkId2ue6+jo72DoxyOEEHG3XaysrLB+/Xr+Qf6c6u5d6MrLUbJjh/DFx8Wsi1gZtRIJRQl8zIqNOe3noKtHVzQInSYBRXeB/kuB8GHC3sMSl13G+3WcTpRux3W0NMHcyBA80dYTcsp1EEIaGdo4rgfVcfFQODpA4SD99uo0dSrMWrSEzWOPQnQs18EKD2ulNSa1moQnQ57k7dGFVJoJHF4CeLQFOr4kzYUMlE61CNqvo7BChXcPxePrC3elXIdchvFd/TC5VwCsTAV9nQkh5F+i4uMhK/j0M+SuWQPbJ56A21tL+ZzCzg62jw+DiMpV5Tzb4W7pzscszyE3kuOFZi/A1lTQK9jVVcDZ94HT7wLqSiDhoJTrUJpLKx0CFh5qrQ5fnruL9YfjUVot5ToGRLhiwaAweDtQroMQ0rhR8fGQmbVswftK6CrKodfpYPT/TgKJ5ELWBcw9ORd+Nn74NPJT3kWVrXjMajcLQmJxJXbL7KE3gNJ0ac6rk5TrYIWHoI7F5uKtPdFIypNyHWFu1lg0JAydAxwN/WiEEFIvqPio48Bg+fHj0KvVsO4v9Y8wb9MG/nt2wyQgAKJj3Ugr1ZUoqCpAQXUBHM0EfjPMiQZ2zwDSzktja0+g3xKg2RPC5joSc1muIwYn4vP42MFCiVn9Q/BUey/KdRBCmhQqPupQ2YEDyJg+A3IHB1h07gy5pXRdvKiFR3pZOo6nHefX2zNulm74KPIjhNuHw1gueN5ArwPSLwLG5kDXGcAjU4Rd7SiuVGH94QR8ef4utDo9jOVGGNfFD1N6B8Kach2EkCaIio86ZNW7N7/0zbJHd6EvfmMXvm27sQ1fRH/Br70PdwhHG5c2/GstnVpCSOpqIPUsENBbGrs2Ax7dCPj3BGw8ICKW6/jmQirePRyP4ko1n+sb5oKFg8Pg52hh6McjhBCDoeLjH2JbK0XffovKqEvweG8DLzZYR1K/n3+CkbGYv83q9Dr8kvgL3rv6HvKrpCOdndw68Q6lwmK5juhfgEOLgJIMYNI5wClE+lrrP7+sUARsa4UdnU3MLefjEBcrLBoSjq5BAm9lEUJIPaHi4x/S5OUhd+07/P6VitOnYdmtG58XtfC4knMFKy+uRExhDB/7WPtgdrvZ6OHZQ9xVmqzrwP4FwN3T0tjKHSjL/q34ENCdvHIs2x2NY3FSrsPO3Bgz+4dgdHsvKOTiho0JIaQ+UfHxALQlJZDbSG3Ejd3d4TR9OmQWFjzfIaqM8gy8e/ldHEg5wMeWxpb8+OzToU+Lm+sozwWOLAWufsWWPgCFKdBlmvShFHO7oqRSjQ1HEvDFuRRodHooZEYY29kXU/sEwcZM0NeZEEIMhIqPv4GtbuSsWYuSn36C36+/QOnpyecdxo+DqNiplY9ufoTPb38OlU4FmZEMTwQ9wS+AczATuFW3Vg1s7QmUZkjjZiOAvm8Ctl4QkUarw7dRaVh3MA5F93IdvUOdea4jwEkKHBNCCPkjKj7+DmNj1CQmQFdZyU+0OLzwAkQ+7rsraRfWX16PvCpp6b+DawfMbT8XIfYh4uY67m/9sNWYjhOB2zuBASsB744Q1emEfJ7riMsp4+MgZ0u8PiQcPYKdDP1ohBAiNCo+/ouK8+dh1qYNZEolz0S4LlzIr7wXeYuFYc/KtlhY4eFp6clzHb29e4ub68i+BRyYD3SeBgT1leY6TQYeeRUQtCEbu/Tt7T0xOByTw8e25saY0TcYz3T0plwHIYT8DVR8/InM119HyY8/wXnOHDi8MJ7PmQQG8g8RZVdkQylXwt7Uno9ZwdHGuQ3GhI/h80IqzwOOvQ1c+Vzq2VFdIt3BwookuZjflqXVamw8mohPzyRDrdXzxmBjOvlget8g2JoL+joTQoiAxPwpb2DmrdugZOcvvCW66HYk7MDyC8sx2H8w3uz8Jp9j7dFfaC7o1pBGBVz8EDixGqgpleYiHgf6LhG2MylrDPZdVBreORiHggoVn+se7ITFQ8IQ6Gxl6McjhJAGp8kXH3qNBsU//giT4GDeCp2xeXwYzNu3g9LbG6LztfFFtbYaqWWpvGGYsDfOMneOAXtmAoVJ0titpZTr8BF3K+vcnQIs3R2NmCypUPJ3ssCiweHoFeps6EcjhJAGq8kXH/lbPkT+xo0wCQ+D3w8/wEgu55e/iVp43My7icTiRDwe9Dgft3ZujS8Hfsk7kwqb67hPVS4VHpYuQJ/FQMunhc11pBZU4u290ThwW8p1WJsqML1vMMY84gNjynUQQsi/0uSLD7unR6Nk507YDn9COnUhqJyKHGy4soGfZDGRm6CjW8faa+9bObeCkCoKgLwYwLerNA4dAgx5F2g+EjARc7uivEbDcx2fnE6GSqvjuY6nO3hjRr9g2FtQroMQQupCkyo+tGVlyN+yBfoaFVxfX8jnFPb2CDiwn694iKhKU4XPbn+GT299yj9nBvgOEDdIer9Xx8VtwImVgJEcmHoFMLOTMh3tpACviLmOny6nY/WBOOSX1/C5bkGOvCV6sIuYhRIhhDRUTar4qImLQ+HHn/Clfvsxz0Lp48PnRSw8WL+O/Sn7se7yOn6a5f4Wy7z28xDhGAEhsZWjhIPAgYVAQYI059JcOtnCig9BXUwuxJJdt3E7U8p1sEvfFg4KQ58wZ/G3sgghpAFqUsWHebt2cHjxBZi3bw9jQTMdzK38W1h1cRWu5V3jY1cLV8xsO5OveAj7ZpgbCxxYANw5Io3NHYE+i4DWYwCZeMUdk1ZYiZX7YrHnZhYfW5kqMK1PEJ57xBdKBeU6CCHkYWlSxQfjPHs2RJVbmctzHb/e+ZWPzRRmGN9sPJ6PeB6m7H4TUbHL3j7sBmhVADtt0+kVoPtswFS6B0c0FTUabD6eiG2nkqHS6CAzAkZ18MasfsFwsDQx9OMRQkij1+SKDxGptWp8evtTfhfL/VzHEP8hmNZmGl/1EL4lupUr0HKUFDDt/xbgEAAR6XR6/Hw1A6v3xyK3TMp1POLvgMVDwxHmZm3oxyOEkCaDig8RGAF7kvbwwqOFUwue62B/CivxMHDoTWDkp4BjkDQ3eJ10L4ugLqUU8n4dN9JL+NjHwRwLBoWhf7iLuFtZhBDSSFHxYSCxhbHwt/Hnp1ZYY7CFHRcityoXg/wG8RtohZSfIIVJEw5I4xOrgCc+kj4XtPDIKK7iuY5d1zP52NJEgVd7B+L5Lr4wUYiZRSGEkMaOig8DYLmOj29+zEOkzzd7ns91cOsAYVUVSe3QL24FdBpApgA6vgx0nwNRVao02HL8Dj48mYQajY7vED3Vzguz+ofAyYpyHYQQYkhUfBiAj7UP9NAjrSwNwrv6FXBwEVBVKI2DBwL9lwGOgcLmOn65noFV++KQXVrN5zr62fNcR4S7mAFYQghpaqj4qId+HUdTj/KtlF7evfjcowGPIsguCBEOgvbr+L2KPKnwcAoFIpdLN88K6kpqEZbuisa1tGI+9rQz4/06BjRzpVwHIYQIhIqPhyiuMA6rolYhKjsKzubOvCW6ubE5L0SELTwK7ki3zbq3lsadJgHmDtI9LIJedZ9VUoVV+2Kx85qU67BQyjGpVyBe6OoHU2PKdRBCiGjEfDdp4AqqCvD+1ffxc8LPfHuF3cUyLHCY2L99V5cAJ9cA57cADoHAy6elYkNhArR5DiKqUmnx4ck72HLiDqrVUq5jRBtPzIkMgbO1wH1RCCGkiaPio477dXwd8zU+vPEhytXlfC7SN5IHS+9fAiccnRa48gVwdBlQmS/N2XhIxYiFA0Tdyvr1eiZf7cgskXId7Xzs8MbQCDT3pFwHIYSIjoqPOnozPJ52HGsvrUVqWSqfC3cI5/062ri0gbCSTwL75wM5t6SxY7CU6wjqB1FdTyvm/Tou3y3iYw9bM8wfFIrBzd3EXlkihBBSi4qPfym+KB5rotbgfNZ5PnY0c8TU1lPxWOBj4vbrYFLPA58PlT43tQV6zgfavyBsv46c0mqs2h+Ln69k8LGZsRyTegZgQnd/ynUQQkgDQ8XHP1RSU8JzHT/E/wCdXscbhT0X/hwmtJgAC2MLCN8S3asj4NdDWu3otQAwt4eIqtVafHQqCZuP30GlSsvnhrfxwNzIULjaUK6DEEIaIio+/sVWy77kfbzw6OfTj+c6PK08IWyug/XrOP8BMH4/YGYrFSFjdgh74yx7fdltsyv2xvIupUxbHzssHhKOll62hn48Qggh/wIVHw/wZsiuuG/l1IpnC2xNbbHokUVwMHVAe9f2EFbKGWD/a0D2DWl8cRvQ415nUkELj1sZJbxfx8UUqbGZm40pXhsYikdbulOugxBCGgEqPv5m4THt2DQcSzuGDb02oLd3bz4/wHcAhFV0Fzi0CIj+RRqb2AA95wHtJ0BUuWXVWLM/Dj9eSec7RKbGMrzcIwATuwfATClmoUQIIeTBUfHxN7DftgNsA3Aq4xTSy9IhNPauzY7Nnn0f0NYALPTadpyU67BwhKi5jo9PJ2PzsURU3Mt1DGvljrkDQuFua2boxyOEEFLHqPj4E2qdGt/HfY8Wji3Q3Kk5n3ux+Yt4PPBxeFt7Q2hsW6I8Wyo8/LoDA1YCLhHCrijtv5WN5ftikFYo5TpYnoPlOli+gxBCSONExcf/czrjND86m1SShBZOLfDVwK/4ygc7wSLsKRZ2bNbSGbD3l8a9FwMhg6QPQTMStzOlXMeFZCnX4WJtgnkDQjGslQdkMjGfmRBCSN2g4uMeVmysjVrLt1YYOxM7PBbwGG+PbgRB3wyL04DDbwC3fpIKjdHfSvNWLkDoYIgor6wG7xyMw3eX0vgOkYlChond/fFyzwCYK+nbkRBCmoIm/9Oe9evYcn0Ltsduh0avgcJIgafDnsbElhNhrbSGkFQVwOn1wNn3AA1rL24EWDgBWrWwTcJqNFp8diYF7x9NRHmNhs8NbenOT7GwLqWEEEKajodSfGRkZGDevHnYt28fKisrERgYiE8//RTt2rWDKDQ6DX6M/xGbrm1CcY10BXtPz56Y1W4WfG18ISSdDrj5A3D4TaBMusEVvt2kluhuLSBqruNQdA7e3huDuwWVfK6Fpw3PdbTzFbOxGSGEkAZWfBQVFaFLly7o1asXLz6cnJyQkJAAOztxAoRnM8/yXEdicSIfB9gEYG77uejs0RlCu/YV8Our0ue2PkD/ZUDYUGFzHbHZpXhrdzTOJBbwsbOVCT/BMrw15ToIIaQpq/PiY9WqVfDy8uIrHff5+flBBOyY7KqLq3A8/Tgf25rYYnKryRgRPAIKmULc1Q7ZvTtimj8pXXnffATQaRJgLGZ78YLyGqw7FI9vL6ZCpweUChkmdPPDpJ6BsDAR9HUmhBBSb+r8neDXX39FZGQkRo4ciRMnTsDDwwOTJk3ChAl/3tyqpqaGf9xXWlpa14/0279LW8MDpSzXMSp0FF5u+TJsWPMtEakqgTMbgMTDwPgDgFwhFRsvnxK2M6lKo8MX51Kw4UgCyqqlXAe7bZblOrzszQ39eIQQQgRhpGeb8nXI1FT6bXzmzJm8AImKisK0adOwZcsWjB079j/+/ptvvoklS5b8x3xJSQmsres+8MlyHuyae3+be8dSRcP+33E/11Eq3eCKkZ8DEcMgKvYtdCQml+c6kvMr+Fy4mzUWDw1HJ38HQz8eIYSQesAWD2xsbP7W+3edFx9KpZIHS8+ePVs7N3XqVF6EnDt37m+tfLBtm4dVfAgt/bJ0D0v6RWls4w30WwJEPC5sriM+p4znOk4l5POxo6UScyJDMKKtF+SU6yCEkCaj9AGKjzrfdnFzc0N4ePgf5sLCwvDTTz/96d83MTHhH00a22LZPQO4sV0as2Zm3WYAj0wBjMU8hlpUocK7h+Px9YVUaHV6KOUyjOvqiym9AmFlKuZxX0IIIWKo8+KDnXSJi4v7w1x8fDx8fHzq+l/VeLACo/iu9HnLp4E+iwFrN4hIrdXhq/N3sf5wAkqq1HxuQIQr5g8KhY+DoB1gCSGENO7iY8aMGejcuTOWL1+OJ598EhcvXsTWrVv5B7mH7XRF7wQCegOmNtKWyuB1gKYK8GgLUR2Ly8Wy3dG4kyflOsLcrLFoSBg6B4h5YR0hhBAx1Xnmg9m9ezfmz5/P+3uwY7YsfPrfTrv8mz2jBinzKrB/PpB6Duj8qtSrQ3CJuWVYticGx+Py+NjBQolZ/UPwVHvKdRBCCBEg88EMGTKEf5DfKcsGjrwFXPuaLX0ACjPATJzGa3+muFLFt1e+PH+X5zqM5UYY18UPU3oHwppyHYQQQv4h6vj0sKmrgfObgFPrAFX5b83C+r4J2HhARBqtjgdJWaC0uFLKdfQNc8HCwWHwc6RcByGEkH+Hio+H7ehbwLmN0uce7YABKwGv9hDVyfg8fnQ2IVcqlIJdLLFoSDi6BTkZ+tEIIYQ0ElR8PAw67W9dSNlx2fgDQI+5QLMRv7VKF8ydvHIs3xODI7G5fGxnboyZ/UMwur0XFHIxn5kQQkjDRMVHXSrPlVY6qoqBp76U5tiR2ckXhS062HHZ944k4POzKdDo9FDIjPDcI76Y1icINuaU6yCEEFL3qPioC5oa4MIW4MQaQFUmzeVEAy73mq0JWHiwXMf2qDR+AVxhhYrP9Q515rmOACdLQz8eIYSQRoyKj3+DnVKO3QMcfB0oSpbm3FsDA1b9VngI6ExiPs91xGZLhVKQsyVeHxKOHsGU6yCEEPLwUfHxT5VmATteApJPSmNLV6DvG0CLUUKudDAp+RX88rdD0Tl8bGtujBl9g/FMR2/KdRBCCKk3VHz8U2a2QGEyIDcBOk8Bus4ETMTcriitVmPj0UR8eiYZaq2eNwYb08kH0/sGwdZcaejHI4QQ0sRQ8fF3aVTAje+AVk9LJ1nYfSzDt0mBUjtfiIg1Bvv+UhreORiH/HIp19E92AmLBochyMXK0I9HCCGkiaLi4+/kOuL3AwcWAoV3AL0WaPu89DWfRyCqc3cKsHR3NGKySvnY38kCiwaHo1eos6EfjRBCSBNHxcdfYSdWDswHko5LYwtnQCnm1sp9qQWVWLEvBvtuZfOxtakC0/sGY8wjPjCmXAchhBABUPHxZyoKgOPLgUufAHodIFcCnSYB3WYBpmJedldeo8GmY4n4+FQyVFod2H1vz3T0wYx+wbC3oFwHIYQQcVDx8Wd2TAQSD0mfhw0F+r0F2PtBRDqdHj9eTsfqAyzXUcPnugU54vXB4QhxpVwHIYQQ8VDxcZ9WA8jvvRy95gPlOUDkcsCvG0R1MbkQS3bdxu1MKdfh62DOi44+Yc4wMqKr7gkhhIiJio+8OODAAsClGdBviTTn0RaYeBIQ9A08rbASK/fFYs/NLD62MlFgap8gjO3sC6WCch2EEELE1nSLj8pC4MQq4OI26QRL6nmg20zA1Eb6uoCFR0WNBpuPJ2Iby3VopFzHqA7emNkvGI6WJoZ+PEIIIeRvaXrFh1YNXPpUCpRWFUlzIYOA/st+KzwEzHX8fDUDq/fHIrdMynU84u/Ar7oPdxczAEsIIYT8N02r+Mi6Dvw0AciPk8bO4cCAFYB/T4jqUkoh79dxI72Ej30czLFgUBj6h7tQroMQQkiD1LSKDwsnoCQNMLMHer8OtBn7W8hUMBnFVTzXset6Jh9bmigwpXcgxnXxhYlCbujHI4QQQv4xMd95HxZrd2DU14B7G+luFgFVqjTYcvwOPjyZhBqNjkdPnmrnhVn9Q+BkRbkOQgghDV/TKj6YgN4QNdfx6/VMvtqRXVrN5zr42WPxkHA08xAzi0IIIYT8E02v+BDQldQiLN0VjWtpxXzsaWfGcx0Dm7lSroMQQkijQ8WHAWWVVGHVvljsvCblOsyVckzuFYgXuvrB1JhyHYQQQhonKj4MoEqlxdaTSdhy4g6q1Fo+N6KtJ+ZGhsDZ2tTQj0cIIYQ8VFR81CO9Xsp1sNWOzBIp19HOxw6Lh4ajhaeYAVhCCCGkrlHxUU9upBdjya5oXL4rNTbzsDXDawNDMaSFG+U6CCGENClUfDxkOaXVWL0/Dj9dSedjM2M5XukZgJe6+1OugxBCSJNExcdDUq3W4qNTSdh8/A4qVVKuY3gbD8yNDIWrDeU6CCGENF1UfDyEXMfem9lYvjeGdyll2njbYvHQCLTyolwHIYQQQsVHHbqVUcL7dVxMKeRjNxtTnut4tKU75ToIIYSQe6j4qAO5ZdVYeyAOP1xOh14PmBrL8HKPAEzsHgAzJeU6CCGEkN+j4uNf5jo+PZOCTccSUV6j4XOPtXLHvAGhcLc1M/TjEUIIIUKi4uMf5joO3M7G23tjkFYo5TpaetrwXEdbHztDPx4hhBAiNCo+HlB0Zine2h2Nc0kFfOxibcJXOoa18oBMRrkOQggh5H+h4uNvyi+vwTsH47A9Ko3nOkwUMkzs7o+JPQJgYUIvIyGEEPJ30bvm/1Cj0eLzsyl4/0giyu7lOlhXUnaKxdPO3NCPRwghhDQ4VHz8Ra7jUHQO79eRUlDJ55p72OCNoeFo52tv6McjhBBCGiwqPv5EbLaU6ziTKOU6nKxM+I2zT7TxpFwHIYQQ8i9R8fE7hRUqnuv49mIqdHpAqZDhxa5+mNQrEJaU6yCEEELqBL2jAlBpdPjiXAo2HElAWbWU6xjYzBULBoXBy55yHYQQQkhdkuEhW7lyJW8tPn36dIiY6zgSk4MB609i2Z4YXniEu1lj+0ud8MGzbanwIIQQQhraykdUVBQ+/PBDtGjRAqJJyCnD0t3ROJWQz8eOlkrMiQzBiLZekFOugxBCCGl4xUd5eTmeeeYZbNu2DcuWLYMoiipUWH84Hl9dSIVWp4dSLsO4rr6Y0isQVqbGhn48QgghpNF7aMXH5MmTMXjwYPTt2/cvi4+amhr+cV9paelDeR61Voevzt/F+sMJKKlS87nICBee6/BxsHgo/05CCCGE1FPxsX37dly5coVvu/wvK1aswJIlS/CwJeVV8OOz7BRLqKsVFg8NR+cAx4f+7yWEEELIQy4+0tLSMG3aNBw6dAimpqb/8+/Pnz8fM2fO/MPKh5eXV10/FkJcrfg19x52ZhjV3ptyHYQQQoiBGOnZkY86tHPnTjz++OOQy+W1c1qtlp94kclkfIvl91/7/1jxYWNjg5KSElhbW9floxFCCCHkIXmQ9+86X/no06cPbt68+Ye5cePGITQ0FPPmzfvLwoMQQgghjV+dFx9WVlZo1qzZH+YsLCzg4ODwH/OEEEIIaXoeepMxQgghhJB6b69+/Pjx+vjXEEIIIaQBoJUPQgghhNQrKj4IIYQQUq+o+CCEEEJIvaLigxBCCCH1iooPQgghhNQrKj4IIYQQUq+o+CCEEEJIvaLigxBCCCH1iooPQgghhDS+DqcP4v4lu+x2PEIIIYQ0DPfft++/jzeo4qOsrIz/6eXlZehHIYQQQsg/eB+3sbH5y79jpP87JUo90ul0yMzM5LfjGhkZ1XlVxoqatLQ0WFtb1+n/NvkNvc71g17n+kOvdf2g17lhv86snGCFh7u7O2QyWcNa+WAP7Onp+VD/HezFpm/sh49e5/pBr3P9ode6ftDr3HBf5/+14nEfBU4JIYQQUq+o+CCEEEJIvWpSxYeJiQneeOMN/id5eOh1rh/0Otcfeq3rB73OTed1Fi5wSgghhJDGrUmtfBBCCCHE8Kj4IIQQQki9ouKDEEIIIfWKig9CCCGE1KsmVXxs2rQJvr6+MDU1RceOHXHx4kVDP1KjsmLFCrRv3553p3V2dsawYcMQFxdn6Mdq9FauXMm7AU+fPt3Qj9LoZGRk4Nlnn4WDgwPMzMzQvHlzXLp0ydCP1ahotVosWrQIfn5+/DUOCAjAW2+99bfuByF/7eTJkxg6dCjvOMp+RuzcufMPX2ev8eLFi+Hm5sZf+759+yIhIQH1ockUH9999x1mzpzJjxdduXIFLVu2RGRkJHJzcw39aI3GiRMnMHnyZJw/fx6HDh2CWq1G//79UVFRYehHa7SioqLw4YcfokWLFoZ+lEanqKgIXbp0gbGxMfbt24fo6Gi88847sLOzM/SjNSqrVq3CBx98gI0bNyImJoaPV69ejffff9/Qj9bgVVRU8Pc69ov3n2Gv83vvvYctW7bgwoULsLCw4O+L1dXVD//h9E1Ehw4d9JMnT64da7Vavbu7u37FihUGfa7GLDc3l/3qoj9x4oShH6VRKisr0wcFBekPHTqk79Gjh37atGmGfqRGZd68efquXbsa+jEavcGDB+vHjx//h7nhw4frn3nmGYM9U2MEQL9jx47asU6n07u6uurXrFlTO1dcXKw3MTHRf/vttw/9eZrEyodKpcLly5f5ktLv75Bh43Pnzhn02RqzkpIS/qe9vb2hH6VRYqtMgwcP/sP3Nak7v/76K9q1a4eRI0fybcTWrVtj27Zthn6sRqdz5844cuQI4uPj+fj69es4ffo0Bg4caOhHa9SSk5ORnZ39h58f7F4WFkmoj/dF4S6Wexjy8/P5vqKLi8sf5tk4NjbWYM/VmLHbiVkGgS1bN2vWzNCP0+hs376dbx+ybRfycCQlJfHtALZdu2DBAv5aT506FUqlEmPHjjX04zUar732Gr9lNTQ0FHK5nP+sfvvtt/HMM88Y+tEatezsbP7nn70v3v/aw9Qkig9imN/Kb926xX+DIXWLXYM9bdo0nqth4Wny8ApotvKxfPlyPmYrH+x7mu2PU/FRd77//nt8/fXX+OabbxAREYFr167xX1xYSJJe58arSWy7ODo68oo6JyfnD/Ns7OrqarDnaqymTJmC3bt349ixY/D09DT04zQ6bAuRBaXbtGkDhULBP1jYlwXH2OfsN0fy77ETAOHh4X+YCwsLQ2pqqsGeqTGaM2cOX/0YNWoUP000ZswYzJgxg5+eIw/P/fc+Q70vNonigy2Ttm3blu8r/v63GjZ+5JFHDPpsjQnLNLHCY8eOHTh69Cg/OkfqXp8+fXDz5k3+G+L9D/YbOlumZp+zQpv8e2zL8P8fFWe5BB8fH4M9U2NUWVnJM3i/x76H2c9o8vCwn8+syPj9+yLb/mKnXurjfbHJbLuwfVu2hMd+SHfo0AHr16/nx5DGjRtn6EdrVFstbOn0l19+4b0+7u8bshATO0NO6gZ7bf9/joYdkWO9KChfU3fYb98sDMm2XZ588kneF2jr1q38g9Qd1oeCZTy8vb35tsvVq1exbt06jB8/3tCP1uCVl5cjMTHxDyFT9gsKOwTAXm+2vbVs2TIEBQXxYoT1W2HbXaxH00Onb0Lef/99vbe3t16pVPKjt+fPnzf0IzUq7Nvpzz4+/fRTQz9ao0dHbR+OXbt26Zs1a8aPH4aGhuq3bt1q6EdqdEpLS/n3LvvZbGpqqvf399cvXLhQX1NTY+hHa/COHTv2pz+Tx44dW3vcdtGiRXoXFxf+Pd6nTx99XFxcvTybEfs/D7/EIYQQQghpQpkPQgghhIiDig9CCCGE1CsqPgghhBBSr6j4IIQQQki9ouKDEEIIIfWKig9CCCGE1CsqPgghhBBSr6j4IIQQQki9ouKDEEIIIfWKig9CCCGE1CsqPgghhBBSr6j4IIQQQgjq0/8BxJ1VxCwdgNcAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# For short, we can use the following codes:\n", "plt.plot(x, x + 4, linestyle='-') # solid\n", "plt.plot(x, x + 5, linestyle='--') # dashed\n", "plt.plot(x, x + 6, linestyle='-.') # dashdot\n", "plt.plot(x, x + 7, linestyle=':'); # dotted" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Axis limits for plotting can be set with *plt.xlim* and *plt.ylim* or jointly with *plt.axis* which allows us to set the x and y limits with a single call, by passing a list which specifies [xmin, xmax, ymin, ymax]:" ] }, { "cell_type": "code", "execution_count": 217, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, np.sin(x))\n", "\n", "plt.xlim(-1, 11)\n", "plt.ylim(-1.5, 1.5);" ] }, { "cell_type": "code", "execution_count": 218, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, np.sin(x))\n", "plt.axis([-1, 11, -1.5, 1.5]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Labeling the axes is done with *plt.xlabel*, *plt.ylabel* and setting the title with *plt.title*." ] }, { "cell_type": "code", "execution_count": 220, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, np.sin(x))\n", "plt.title(\"A Sine Curve\")\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"sin(x)\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "While most *plt* functions translate directly to *ax* methods (such as *plt.plot() → ax.plot()*, *plt.legend() → ax.legend()*, etc.), this is not the case for all the commands. In particular, functions to set limits, labels, and titles are slightly modified. For transitioning between plt-style functions and object-oriented methods, make the following changes:\n", "\n", "- plt.xlabel() → ax.set_xlabel()\n", "- plt.ylabel() → ax.set_ylabel()\n", "- plt.xlim() → ax.set_xlim()\n", "- plt.ylim() → ax.set_ylim()\n", "- plt.title() → ax.set_title()\n", "\n", "In the object-oriented interface to plotting, rather than calling these functions individually, it is often more convenient to use the *ax.set()* method to set all these properties at once:" ] }, { "cell_type": "code", "execution_count": 222, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plt.axes()\n", "ax.plot(x, np.sin(x))\n", "ax.set(xlim=(0, 10), ylim=(-2, 2),\n", " xlabel='x', ylabel='sin(x)',\n", " title='A Simple Plot');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Scatter plots" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the previous examples, we used *plt.plot* and *ax.plot* to produce line plots. It turns out that this same function can produce scatter plots as well.\n", "\n", "Recall that we can use *numpy.linspace* to return return evenly spaced numbers over a specified interval as follows:\n", "\n", "`numpy.linspace(start, stop, num=50, endpoint=True, retstep=False, dtype=None, axis=0)`\n" ] }, { "cell_type": "code", "execution_count": 225, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 10, 30)\n", "y = np.sin(x)\n", "\n", "plt.plot(x, y, 'o', color='black');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the *plot* function call, the third argument is a character that represents the type of symbol used for the plotting. Here is an example of using different markers:" ] }, { "cell_type": "code", "execution_count": 227, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rng = np.random.RandomState(0)\n", "for marker in ['o', '.', ',', 'x', '+', 'v', '^', '<', '>', 's', 'd']:\n", " plt.plot(rng.rand(5), rng.rand(5), marker,\n", " label=\"marker='{0}'\".format(marker))\n", "plt.legend()\n", "plt.xlim(0, 1.8);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A second, more powerful method of creating scatter plots is the *plt.scatter* function, which we have been using in the previous notebooks:" ] }, { "cell_type": "code", "execution_count": 229, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(x, y, marker='o');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The primary difference of *plt.scatter* from *plt.plot* is that it can be used to create scatter plots where the properties of each individual point (size, face color, edge color, etc.) can be individually controlled or mapped to data.\n", "\n", "In order to better see the overlapping results, we can also use the *alpha* keyword to adjust the transparency level.\n", "\n", "For example, we might use the Iris data from `sklearn`, where each sample is one of three types of flowers that has had the size of its petals and sepals carefully measured.\n", " \n", " Notice that the color argument is automatically mapped to a color scale (shown here by the *colorbar()* command), and that the size argument depends on the feature 4 (petal width). We can use *iris.feature_names* to obtain a list of features of the `sklearn` dataset.\n", "\n" ] }, { "cell_type": "code", "execution_count": 231, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['sepal length (cm)',\n", " 'sepal width (cm)',\n", " 'petal length (cm)',\n", " 'petal width (cm)']" ] }, "execution_count": 231, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.datasets import load_iris\n", "iris = load_iris()\n", "features = iris.data.T\n", "\n", "plt.scatter(features[0], features[1], alpha=0.2, s=100*features[3], c=iris.target, cmap='viridis')\n", "plt.xlabel(iris.feature_names[0])\n", "plt.ylabel(iris.feature_names[1]);\n", "plt.colorbar(); # show color scale\n", "iris.feature_names" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that this scatter plot has given us the ability to simultaneously explore four different dimensions of the data: \n", "- the (x, y) location of each point corresponds to the sepal length and width\n", "- the size of the point is related to the petal width\n", "- the color is related to the particular species of flower (target). \n", "\n", "Multicolor and multifeature scatter plots like this can be useful for both exploration and presentation of data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Histograms" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A simple histogram can be a great first step in understanding a dataset. " ] }, { "cell_type": "code", "execution_count": 235, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.style.use(\"classic\")\n", "data = np.random.randn(1000)\n", "plt.hist(data);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The *hist()* function has many options to tune both the calculation and the display; here's an example of a more customized histogram:" ] }, { "cell_type": "code", "execution_count": 237, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(data, bins=30, alpha=0.5, density=True,\n", " histtype='stepfilled', color='steelblue',\n", " edgecolor='none');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we would like to simply compute the histogram (that is, count the number of points in a given bin) and not display it, the *np.histogram()* function is available. " ] }, { "cell_type": "code", "execution_count": 239, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 26 311 496 158 9]\n" ] } ], "source": [ "counts, bin_edges = np.histogram(data, bins=5)\n", "print(counts)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Stylesheets" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The available styles are listed in *plt.style.available*. Let's see the names of the first few:" ] }, { "cell_type": "code", "execution_count": 242, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['Solarize_Light2',\n", " '_classic_test_patch',\n", " '_mpl-gallery',\n", " '_mpl-gallery-nogrid',\n", " 'bmh',\n", " 'classic',\n", " 'dark_background',\n", " 'fast',\n", " 'fivethirtyeight',\n", " 'ggplot']" ] }, "execution_count": 242, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plt.style.available[:10]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The basic way to switch to a stylesheet is to call *plt.style.use('stylename')* but keep in mind that this will change the style for the rest of the session." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Alternatively, we can use the style context manager, which sets a style temporarily:" ] }, { "cell_type": "code", "execution_count": 245, "metadata": {}, "outputs": [], "source": [ "#with plt.style.context('stylename'):\n", "# make_a_plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's make some function that draws two plots and test it with different styles." ] }, { "cell_type": "code", "execution_count": 247, "metadata": {}, "outputs": [], "source": [ "def hist_and_lines():\n", " np.random.seed(0)\n", " fig, ax = plt.subplots(1, 2, figsize=(11, 4))\n", " ax[0].hist(np.random.randn(1000))\n", " for i in range(3):\n", " ax[1].plot(np.random.rand(10))\n", " ax[1].legend(['a', 'b', 'c'], loc='lower left')" ] }, { "cell_type": "code", "execution_count": 248, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with plt.style.context('fivethirtyeight'):\n", " hist_and_lines()" ] }, { "cell_type": "code", "execution_count": 249, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with plt.style.context('dark_background'):\n", " hist_and_lines()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Seaborn" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Seaborn is a Python data visualization library. It provides an API on top of Matplotlib that offers choices for plot style and color defaults, defines simple high-level functions for common statistical plot types, and integrates with the functionality provided by Pandas DataFrames." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's plot a simple graph first using *matplotlib* and then *seaborn*." ] }, { "cell_type": "code", "execution_count": 253, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create some data\n", "rng = np.random.RandomState(0)\n", "x = np.linspace(0, 10, 500)\n", "y = np.cumsum(rng.randn(500, 6), 0)\n", "# Plot the data with Matplotlib defaults\n", "plt.plot(x, y)\n", "plt.legend('ABCDEF', ncol=2, loc='upper left');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can set the style by calling Seaborn's *set()* method. By convention, Seaborn is imported as sns:" ] }, { "cell_type": "code", "execution_count": 255, "metadata": {}, "outputs": [], "source": [ "import seaborn as sns\n", "sns.set()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's rerun the same two lines as before:" ] }, { "cell_type": "code", "execution_count": 257, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, y)\n", "plt.legend('ABCDEF', ncol=2, loc='upper left');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's take a look at a few of the datasets and plot types available in Seaborn. Note that all of the following could be done using raw Matplotlib commands (this is, in fact, what Seaborn does under the hood), but the Seaborn API is much more convenient." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Histograms, KDE, densities\n", "\n", "Let's revisit histograms." ] }, { "cell_type": "code", "execution_count": 260, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data = np.random.multivariate_normal([0, 0], [[5, 2], [2, 2]], size=2000)\n", "data = pd.DataFrame(data, columns=['x', 'y'])\n", "\n", "for col in 'xy':\n", " plt.hist(data[col], density=True, alpha=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Rather than a histogram, we can get a smooth estimate of the distribution using a kernel density estimation, which Seaborn does with *sns.kdeplot*:" ] }, { "cell_type": "code", "execution_count": 262, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for col in 'xy':\n", " sns.kdeplot(data[col], fill=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also use the function *sns.displot* to plot both the histogram and the density." ] }, { "cell_type": "code", "execution_count": 264, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 264, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.displot(data, kde=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Pair plots\n", "When we generalize joint plots to datasets of larger dimensions, we end up with pair plots. This is very useful for exploring correlations between multidimensional data, when we would like to plot all pairs of numeric features against each other.\n", "\n", "We'll demo this with the well-known Iris dataset, which lists measurements of petals and sepals of three iris species, just like we did in the first notebook." ] }, { "cell_type": "code", "execution_count": 266, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
sepal_lengthsepal_widthpetal_lengthpetal_widthspecies
05.13.51.40.2setosa
14.93.01.40.2setosa
24.73.21.30.2setosa
34.63.11.50.2setosa
45.03.61.40.2setosa
\n", "
" ], "text/plain": [ " sepal_length sepal_width petal_length petal_width species\n", "0 5.1 3.5 1.4 0.2 setosa\n", "1 4.9 3.0 1.4 0.2 setosa\n", "2 4.7 3.2 1.3 0.2 setosa\n", "3 4.6 3.1 1.5 0.2 setosa\n", "4 5.0 3.6 1.4 0.2 setosa" ] }, "execution_count": 266, "metadata": {}, "output_type": "execute_result" } ], "source": [ "iris = sns.load_dataset(\"iris\")\n", "iris.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Visualizing the multidimensional relationships among the samples is as easy as calling *sns.pairplot*, as we saw in Notebook 1:" ] }, { "cell_type": "code", "execution_count": 268, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 268, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.pairplot(iris, hue='species', height=2.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Faceted histograms\n", "Sometimes the best way to view data is via histograms of subsets. Seaborn's *FacetGrid* makes this extremely simple. We'll take a look at some data that shows the amount that restaurant staff receive in tips based on various indicator data:" ] }, { "cell_type": "code", "execution_count": 270, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
total_billtipsexsmokerdaytimesize
016.991.01FemaleNoSunDinner2
110.341.66MaleNoSunDinner3
221.013.50MaleNoSunDinner3
323.683.31MaleNoSunDinner2
424.593.61FemaleNoSunDinner4
\n", "
" ], "text/plain": [ " total_bill tip sex smoker day time size\n", "0 16.99 1.01 Female No Sun Dinner 2\n", "1 10.34 1.66 Male No Sun Dinner 3\n", "2 21.01 3.50 Male No Sun Dinner 3\n", "3 23.68 3.31 Male No Sun Dinner 2\n", "4 24.59 3.61 Female No Sun Dinner 4" ] }, "execution_count": 270, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tips = sns.load_dataset('tips')\n", "tips.head()" ] }, { "cell_type": "code", "execution_count": 271, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['Dinner', 'Lunch']\n", "Categories (2, object): ['Lunch', 'Dinner']" ] }, "execution_count": 271, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tips.time.unique()" ] }, { "cell_type": "code", "execution_count": 272, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAdMAAAHTCAYAAAB8/vKtAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjAsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvlHJYcgAAAAlwSFlzAAAMTgAADE4Bf3eMIwAAPVpJREFUeJzt3Qt0VNW5wPEvTyBAEhJ5CBYFCoho1CgKgStUUFyNFEFdPuKlRAGBVougIM8KyBt8QCsIIgjyMjwEbFVAhapQrYi9l2ut3iItj4iSNLwihEnmrm/bSRMuJGfmzCNnzv+31qzMI+c7e87Mnu+cffbZO8br9XoFAAAELDbwRQEAgCKZAgBgE8kUAACbSKYAANhEMgUAwCaSKQAANpFMw+z06dPy3XffRboYQFSifiFSSKZhdv/998vu3bvN/U2bNsldd90lNcnBgwelbdu2UlhYGLZ1rl+/Xm6//fawrQ/Ryyn169prrzW3a665Rjp37ixPPvlkpZ2ACRMmyPTp0yNaVvgn3s//h01FRUXl93/2s5+ZGwB31a933nlH0tLSzP0jR47IzJkz5T//8z/l9ddfl9q1a8ukSZMiXUT4iSPTMBo8eLAcPnxYRo4cKb/97W8rHZHp/Yceekh+/etfy3XXXSddu3Y1FW7WrFly4403SpcuXUxF8/nf//1fyc3NlRtuuEF69uwpq1evvuB6fXvB5950z91fN998s7z11lvljxcvXmx+BHzvoV+/fjJ27Fi5/vrrpVu3brJkyZLy/923b58pc2Zmptx0002ycOHC8tdKSkrk6aefNu9T3+9vfvMbv8sGd3Nq/WrcuLFJploHtJxKj1R9CVXvT5w4UX7+85+buL169ZJdu3aZ1z766CNTvmeeeUY6duxojnJnzJhRHvvYsWMyevRo8/7+4z/+Q6ZMmSJnzpwp3yb33HOP5OTkmPe5Z8+egLY7/kWHE0T4/OQnP/G++eab5v66deu82dnZ5ffbtGnjfe2117xlZWXeZ555xtuuXTvvb3/7W+/Zs2e9r776qvfaa681r508edLbpUsX78KFC70lJSXev/zlL96bbrrJu3XrVtvlO3DggClHQUFBteVXL730kveBBx6o9B5WrFhhyvzGG2+Y95Cfn2/KefPNN3unT5/uPX36tHffvn3eTp06ebds2VK+3PLly72lpaXenTt3etu2bev94osvbL8fuIuT69f48eO9v/rVr8z9UaNGeSdOnFh+/5prrvF+9tln3jNnzngnTZrk7dmzp3ntj3/8o4k3Z84cU9aPP/7Ye8UVV3j37NljXn/44Ye9jzzyiPf48eNmnf369fNOmTKl0jbZtm2bec8ej8f2+3MzjkxrkPT0dLn77rslJibG7GXqsMkDBgyQ+Ph4cyR36tQps6e5Y8cO0xQ0cOBASUhIkMsvv9zsXb722muRfgum6UrPW2mZs7OzJS4uTg4cOGD2evU87PDhw6VWrVrSokULWbZsmdnTVg0bNpQHHnhAYmNjpVOnTnLRRReZ5QC31K8GDRqY9Z+Plu/qq6+WxMREc7S9f//+/3dUrmXt0KGDXHLJJeb1o0ePynvvvSdjxoyR+vXrm7r52GOPSV5eXvlyycnJ0r17d6lbt66pqwgc50xrEK1MPppUtEJr5VH6A6DKysrk0KFDpjlLm1J99HmtROdT8f8q0iYvbTIK9g9WRfpDpWXTiq0JUyu8z49//OPy+6mpqZWW0/ft8XiCWja4W02vXwUFBZXKeKF6pXWq4vwkSUlJ5uajdUzLq+9Bndu5T+uV1kfVqFEjy+VD1UimNYivQls5x6J7y+vWratUES+UfD755JOglVF/hM6ePXveDh/VlVl7K2oZ9cdA/f73vzdHqYDb65fG/vDDD80RZrDo+9D3vH37dqlXr5557vvvv5dvv/22PDlb3SaoHs28YaZ7jSdOnLAVQzv2fPPNN7JmzRpTCfW+dpZYtGhR0MqpiU/j+m76Y6Iuu+wyefPNN01C/dvf/ia/+93vLMXLyMgwe8Hz5s0zHS2+/vprmTZtWqU9bMAt9aui/Px802lKm2LvuOOOoCZT7ZA0depUOXnypBQXF5uj5UcffZQkGgIcmYbZnXfeaXrUaSJq06ZNQDH0PIf2otVkNGfOHHOkpz36tEIGy7mXFLRv3970/nv88cdNhdQekK1atZK+ffuaHoXV0ea0BQsWlPfY1WapQYMGSY8ePcp7MAJuqV96nlJpUtNTHNq7+JVXXgl6S432Vtbevbfddpvpxas96V944YWgrgM/iNFeSP+6DwAAQnlkqucPli5dau7rSXK97kl7ZOoeVp06dcp7gmkPTj3iAADALSwdmerF9nrZwubNm82J6+XLl8uWLVtk9uzZpo1/586dtMEDAFzL0pFpy5YtzbVXenJfT8hrl2s9OtUxMPXcl56c1w4qeu2WXkeoR6oAALiF5d68mki1C7ieKNdebppA9YR2VlaWzJ8/31wIrL3SGJwZAOA2AXVA2rZtmxnvUce21J5vPnv37jXnS7XZFwAAt4i3Om2QDu2mw7wpvZxBpwhasWKFuY5JryFUmpd9F+T7q6jolHg8ZRJseio3Pb2+FBSckFD0WyZ+ZOOHYx3hih8O1DPiuzl+KFnKfDpe5LBhw2Tjxo3SpEkTc/5UR8IpLS01sxXo7B/6WK/N0t68gdANGMqLdIgf3fGj5T2EmtO3EfGJX1NZSqZ6wf6oUaPMwM+aNLVpV0cD0Yv2dYzH3r17m45JeuSqSRcAADex3CarI93o7VxPPfVUsMsEAICjMDYvAAA2kUwBALCJZAoAgE0kUwAAbCKZAgBgE8kUAACbSKYAANhEMgUAwCaSKQAANpFMAQCwiWQKAIBNJFMAAGwimQIAYBPJFAAAm0imAADYRDIFACBck4MDQLSJiTn/36p4vaEtE6I8ma5bt06WLl1q7jdo0EAmTpwoLVq0kMWLF0teXp6UlpZKly5dZMyYMZKQkBDKMgOAbSkpSZKYGFfpufT0+tUuV1JSKseOFYewZIjaZLpv3z6ZM2eObN68WdLT02X58uUyYcIEGTBggKxdu9Yk06SkJBk+fLgsWbJEBg0aFPqSA0CA9AhUE2n/SW9L8WmP5eWSasfL0gk9zfIcocLvc6YtW7aUHTt2mETq8Xjk8OHD5uh069atkp2dLfXr15e4uDi57777ZMOGDVZCAkDEaSL9/oz1mz+JF+5iuQOSNt1+8skn0rVrV1mzZo3k5uZKfn6+XHzxxeX/06RJE/McAABu4lcHpOuvv14+/PBD2bZtm2nKzcjIkJhzztif+9gqXSzARauNW/Ev8aMrfjjWEa744UA9C04cf5d32vaJ1vgRT6YHDx6UAwcOSKdOnczjHj16mHOmZWVlcuTIkfL/0/tNmzYNqCCpqXUllKx0LCC+c+NHy3sINepZZMvh9O3j9PgRT6bHjh2TYcOGycaNG01Trp4/jY2Nlf79+8usWbMkJydH6tWrJ6tXr5Zbb701oIIUFZ0Sj6dMQrFHoh9QQcGJkHQYIH5k44djHeGKHw7Us8rxAuVvOZy2faI1fsSTafv27WXUqFEycOBAk0STk5Nl0aJF0q5dO9PTVzseacekzMxMGTJkSEAF0Q0Yyt5xxI/u+NHyHkLN6duopnwGgZbD6dvH6fFrxDnTvn37mtu5tCOS3gAAcCuGEwQAwCaSKQAANpFMAQCwiWQKAIBNJFMAAGwimQIAYBPJFAAAm0imAADYRDIFAMAmkikAADaRTAEAsIlkCgCATSRTAABsIpkCAGATyRQAAJtIpgAA2EQyBQDAJpIpAAA2xVv9x1WrVsnKlSslJiZG6tSpI2PHjpWMjAzp3r27eRwXF2f+Lzs7WwYNGmS3XAAARFcy/fTTT2XhwoWybt06SUtLk/fee0+GDh1qHhcXF8u2bdtMkgUAwI0sJdOUlBSZPHmySaRKj0gLCgpk586dkpSUJLm5ueZxx44dZfjw4eZIFQAAt7B0zrRVq1bSpUsXc7+srEymTp0q3bp1M4+zsrJk/vz5kpeXJ/n5+TJ9+vTQlhgAAKeeM1UnT56UkSNHSmFhoWn2TU5Olj59+pS/PnjwYHO+dOLEiX4XRFuJQ9FS7IsZqlZo4kc2fjjWEa744UA9C04cf5d32vaJ1vg1Ipl+/fXXMmTIENPE++yzz0qtWrXkjTfekObNm5vnlNfrlfh4v/JzudTUuhJK6en1iR/F8aPlPYQa9Syy5XD69nF6/FCylPkOHz4sOTk58tBDD5mbz/79+2Xt2rXmKDU2NlYWL15sevMGoqjolHg8ZRKKPRL9gAoKTojXG/TwxI9w/HCsI1zxw4F6VjleoPwth9O2T7TGj3gy1SR5/Phx2bRpk7n56LnSo0ePSu/evcXj8UinTp1k2LBhARVEN2CofmyJH/3xo+U9hJrTt1FN+QwCLYfTt4/T40c8mY4fP97czuepp54KdpkAAHCUwE5wAkAN408nEy6LR7CRTAE4XkpKkiQm/jAKGxAJJFMAjqZHmZpI+096W4pPeywtk5ZcSxY82SPkZYN7kEwBRAVNpN+fsZZMvz/DTx+Ci1ljAAAQkS1btsg333xj7u/evVt27dpleVmSKQDA9V544QWZNGmSGeFPJ2958MEHzYh/OkiRFSRTAIDrrVmzRpYtWyZXXHGFrFixwgyPu3HjRlm/fr2l5UmmAADXO378uLRs2VJKSkrMtKM6V7fOlKYDElnBWXgAgOtdcsklsmPHDikqKjJJtHXr1jJv3jwza5oVJFMAgOuNGDFCHn30UTlz5oyZvzsmJkbef/99GTdunKXlSaYAANfr1q2bOTI9deqUNGvWzDz32muvWV6eZAoAYZrPFDXbvn37ZMOGDXLkyBFp2rSp3HnnnXLVVVdZWpYOSABgUUJ8rJz1lJnpvC66yPpN/1+XQ82ll8MMHTpUkpOT5eOPP5bS0lLp16+fvPvuu5aW58gUACyKj4s1CdWfoQtVUu14WTqhpzlCdeoUY9Fu3rx55lrTzMxMycvLM+dNb7/9dpk2bZrcfPPN1S5PMgWAEA5dCGc4dOiQSaQVdejQQQ4ePGhpeZp5AQCul5aWZoYQVN5/NR9o069ee2oFR6YAANfr37+/DBo0yIx6pOdLBwwYIJ999pm8+OKLlpYnmQIAXO/++++XRo0aSWpqqvTt29f05tXzpQ0bNgxeMl21apWsXLnSXMRap04dGTt2rGRkZMjixYvNiVrN4l26dJExY8ZIQkKC3fcEAEBYaa/dHj1+mOO24kANermMlabeas+Z6hiFCxculFdeeUU2bdpkBv/V7sN6cevatWtNMn3rrbfMSPtLliyx+34AAIjICEiaRIuLi8uf0wHv9SjVimqTaUpKiukirCdnlR6RFhQUyNatWyU7O1vq168vcXFxct9995mLXQEAcJrNmzfLgQMH5I477pDt27fLww8/LPPnz5eZM2cGp5lXB/n1DfRbVlYmU6dONcMu5efny7XXXlv+f02aNDHPBUqvvwrFKCG+mKEagYT4kY0fjnWEK344RGM9c9LoQtG4/Z0Uv7qB7rUFdvTo0TJkyBBp3LixvP7663LRRRdJUDsgnTx50kyUqs252uz72GOPmXOoFZ372B+pqXUllHQEEuJHb/xoeQ+hRj2LrLQ0Z28fp8evio7Jq0ehW7ZskeHDh8vvf/97c3Q6e/ZsadGihQQlmX799dcmU2sTr846XqtWLdPTSccv9PGNZRiooqJT4gnBcFua3/UDKig4EZKRR4gf2fjhWEe44odDNNazcG4/uwoLT0hZCEYVjJY6UBDBOtarVy/Tc1dPVzZv3txcKqOJVMfn1b5DtpPp4cOHJScnRx566CFz87nllltMFtfX6tWrJ6tXr5Zbb71VAqUbMJTDbBE/uuNHy3sINadvI6d/Bk7fPk6PX5W77rrLHDT6Wlj1yhRt8s3KyhIrqk2mevmLzkCuPXn15qNNvZqxteORzkSuwzBpQQAAcBq9SuV8unbtGpxkOn78eHM7n9zcXHMDAMDNGJsXAACbSKYAANhEMgUAoALtE+RjdaB7kikAABUsWrSo/P6CBQvECpIpAAAXGIDI6mBETMEGoEapashApw8niOhFMgVQY6SkJEliYtwFX3fKSEdwH5IpgBpBjzA1kfaf9LYUn/ZYXi4tuZYsePKHeSiBYPBWGIap4v2qkEwB1CiaSL8/Yz2Zfn+GnzEEV8Vx5nU2GSvogAQAQAUbN26sNM+pFSRTAABsIpkCAGATyRQAAJtIpgAA2EQ3OACA640ePbrK1/USmenTp1/wdY5MAQCuV7du3fPe1I4dO+T111+vcnmOTAEArjdu3Ljy+2VlZbJr1y7ZtGmTbN26VVq0aCEPP/xw8JLpc889J999951MmTLFPO7Xr58cOXJEateubR536NChUoEAAHCKL774wlxj+sYbb0hiYqLcfvvtsnbtWmnZsmW1y1pKpgcPHpRp06bJBx98YIKrs2fPyt69e2X79u2SnJxs/10AABAhvXv3lm+//VZ69uwpzz//vGRmZvq1vKVkumbNGsnKypLWrVubI1P1+eefm8z9+OOPS35+vlx55ZUycuRIadCgQWDvBACACLn00kvl+PHjkpCQYG7+stQBacSIEZKTkyNxcf+ezeHYsWPSsWNHmTFjhmzYsEGSkpLkiSee8LsAAABE2ty5c00uu+yyy2TixImSnZ0tCxculG+++cbS8gF3QLrpppvMzeeXv/yldOrUSYqLi01iDWTGiFDMS1jVPIjEd378cKwjXPHDoSbXMzfMS1qTt78b4lcnNTXVHDjq7W9/+5tJrvfcc4/pgKTNwH369Al+MtWuwvHx8dK5c+fya3BiY2PNc4FITf2hC3KohHoeROJHNn441hENc2k6vZ45XVqas7+jTo9flcGDB5/3+bZt28qnn34qf/zjH0OTTAsLC+Wll14y51Pr1atnDod79OhhzqMGoqjolHg8ZRKKPRL9gAoKTojFaemI76D44VhHuOKHQ02uZ+HcDpFSWHhCyoK/+aOmDhREsI5pv58LycjIqHYdASdTzdD/+Mc/5O677zbX5Gj2njRpUqDhzAYM1Y8t8aM/frS8h1BjG0WW07e/0+NXRU9V2uFXMn3kkUcqPf7Vr35lbgAAOJmeuhw7dqy51HPOnDnSuHFjM7aCXrFi5fJPhhMEALje1KlTZcCAAXLHHXeY+3p5zD//+U+ZPHmypeUZThAA4HpHjx6V/v37m/uLFy82V6XMnj1bfvrTn1paniNTAIDrXXTRRWa0P6WXwhw+fNgcnRYUFFhaniNTAIDr3Xfffeb8qPYN0vOlOsD9qVOn5OKLL7a0PMkUAOB6zz77rJSUlJjzpkqTqSZVq5O3kEwBAK63evVqM/58oAMPkUwBAK6XnJxsphStSrNmzS74GskUAOB6PXr0MMPixlxgIF99Tec7vRCSKQDA9Xbt2mVreZIpAMD1UlNT5cSJE7J9+3bT3Nu0aVPp1q2b5VnQSKYAANf78ssv5cEHHzSXwvzlL38x50enT58uL7/8svz4xz+udnkGbQAAuN7UqVPl0Ucflby8PHM0+vbbb5sRkfR5K0imAADX+8tf/iJ33nlnpec0mf7P//yPpeVJpgAA10tISJDvvvuuvOeu+uqrr6RBgwaWlieZAgBc77bbbpOHH35YCgsLTTJduHChDB48WHJzcy0tTzIFALjeqFGj5MYbb5TS0lL50Y9+JLt375bx48fLPffcY2l5evMCCIkLXPsetP93In2P/r7Pf7U4IgzNvGPGjDH3N2zY4PfyJFMAQZeSkiSJiXGRLkaNkRAfK2c9ZZKWVt/vZUtKSuXYseKQlAvB41cyfe6558wJ2ilTppjHGzduNO3KHo9H2rVrJ08//bTUq1cviMUD4DR65KWJtP+kt6X4tMfycmnJtWTBkz0kGsXHxZqE6u82SaodL0sn9DTblCPUms3SOVOdMPUXv/iFLFmypPw57eU0Y8YMc0GrXo/TpEkTmTlzZijLCsBBNGl8f8afW6lEO3+3iT+JFw5IpmvWrJGsrKxKvZq2bdsmXbt2NfO9qZycHNm8ebOUlZWFrrQAADg1mY4YMcIky7i4f58Dyc/PrzQDuR6ZFhcXS1FRUWhKCgBADWWrA9L5pqq50PQ11ccKTW8+X8xQ9RQkfmTjh2Md4YofDk6tZ25X3XaNljoQ4+A6FnAy1RH19Vyqj46yX7duXUlJSQkoXmpqXQml9HT/e9ER3znxo+U9hJrT65lbWd2uTq8D6Q7+/gScTLt3725G2NckqudNV6xYYSZXjY0NbByIoqJT4vGUhWSPRD+ggoITIekNR/zIxg/HOsIVPxzCUc+c/qNYE1X33YuWOlDg4DoWcDJt3bq1jBw5UgYMGCBnz56VFi1amOlqAqUbMJRdv4kf3fGj5T2EWji2ESL3uTm9DngdXMf8SqaPPPJIpce9evUyNwAA3IwRkKKQPyfb6TACAPaRTKNMIMO46TBnAIDAkUxdPowbw5UBgH0k0ygesgwAEB7MZwoAgE0cmYZBIJ18aHIFAOcgmdbQeR2ZwxAAnINkWgPndazYKQgAUPORTMOADkEAEN3ogAQAgE0kUwAAbCKZAgBgE8kUAACbSKYAANhEMgUAwCaSKQAANnGdaQ1WcdAGKwM4MMgDADg0mY4ePVo++ugjqV+/vnl86aWXyty5c4NRNtdKiI81c4ymp/+wTVXF+wCAKEumu3fvlgULFkibNm2CUyJIfFysSaj+DkOYllxLFjzZI6RlAwAEOZkePXpUDh8+bI5E//73v8tll10mTz75pDRr1sxOWAQ4DOH3Z2i1BwDHdUD69ttvpUuXLqapd9OmTZKRkSGDBw+W0tLS4JUQAIAaztahzBVXXGGaeH0GDBgg8+fPl/3790urVq38iqWdZ0LRgcYXM1Sdc6qK76QOQU7d/uFYR7jih4OTP2c3q267RksdiHFwHbOVTPfs2SNHjhyR2267rfw5r9cr8fH+h01NrSuhFOoOPE7vIJSW5vztw2cc/fXMraxuV6fXgXQHf39sJdOSkhKZPHmyZGZmSqNGjWT58uXmiLR58+Z+xyoqOiUeT5mEYo9EP6CCghPi9UpY4/tec4LCwhNSFvzNH/LtH451hCt+OISjnimnfO+dorrvXrTUgQIH1zFbyfTGG2+UoUOHSm5urjlP2rRpU3n++eclJoBjat2AofqxjYb4oRYN2yca3kOohWMbIXKfm9PrgNfBdcx298+cnBxzAwDArRhOEAAAm7gwEQH38nRqcwwABBvJ1OV8QxcG0pu3pKRUjh0rDkm5AMBJSKYuF+jQhUm142XphJ7maJYjVABuRzJFQEMXAgD+jQ5IAADYxJEpANRwgQwnyOmX8CKZAoCD5jauSsX/o4NgeJFMAaCGooOgc5BMAaCGo4NgzUcHJAAAbOLI1A9VzVnq9PlMA0XHCAAgmVqWkpIkiYlxF3zdbVNO0TECAP6NZGqBHlVpIvW3E0Baci1Z8GQPiUZ0jACAfyOZhrATwPdnon/z0jECAOiABACAbSRTAABsiv52SLHfy9YNvXLDLZBtyjnWmvtZVdWrHZETyBzF/l614FvO7Wwn0/fff19mz54tZ86ckYsvvlhmzJghjRo1Eqf2ykXN6gVcEb2Aa359cVuv9mirZ2c9pZIQ7/9VCyXUTXvJtLCwUB5//HFZtmyZtG3b1vwdPXq0LF68WGoieuVGHr2AnYP64q565vvcqJsRSKYffPCBSaJ6U/fee6/MnDlTvvvuO2nYsKHUVPTKjTx6ATsH9cUdn53vc6NuRqAD0jfffGOadn0SExOlQYMGkp+fbycsAACOYmsX0uv1Ssx5zkjHxvqfo+PjY4N2srwi3+sJCf8uU7vLGsjpklLL60mumxi1yzmhjKr2v87b6ed4blNSxc/43NesfEfOp+JyVcWvajmrwtlpx5965vu/mv7diObvvRO2SVV1szq++uJPHau4XE2qYzFezYgB2rx5s6xfv16WLFliHpeUlEhmZqb84Q9/kLS0tGCWEwCA6Gzm7dy5s3z++efy5Zdfmsd5eXly9dVXk0gBAK5i68hU7dy5U2bNmmUujUlPT5fp06dLs2bNgldCAACiPZkCAOB2DCcIAIBNJFMAAGwimQIAYBPJFAAAm0imAADYRDIFAMAmkikAADaRTAEAsIlkCgCATSRTAABsIpkCAGATyRQAAJtIpgAA2EQyBQDAJpIpAAA2kUwBALAp3uo/rlu3TpYuXWruN2jQQCZOnCgtWrSQ7t27S506dSQuLs68lp2dLYMGDbJbLgAAHCPG6/V6q/unffv2yQMPPCCbN2+W9PR0Wb58uWzZskVmz54td9xxh+zcuVNiYmLCU2IAAJx4ZNqyZUvZsWOHJCQkiMfjkcOHD5uj0927d0tSUpLk5uZKQUGBdOzYUYYPH26OVAEAcAvL50w1kX7yySfStWtXWbNmjUmgZ86ckaysLJk/f77k5eVJfn6+TJ8+PbQlBgDAic2859q2bZuMHj1a3nnnHUlOTi5/fu/eveZ8qTb7AgDgFpaaeQ8ePCgHDhyQTp06mcc9evSQCRMmyIoVK6Rz586SkZFhnte8HB9vuU9TJUVFp8TjKZNg01O56en1paDghPi/20D8mh4/HOsIV/xwoJ4R383xQ8lS5jt27JgMGzZMNm7cKE2aNDHnT2NjY6W0tFSeeeYZWbhwoXm8ePFi05s3ELoBQ/VjS/zojx8t7yHUnL6NiE/8mspSMm3fvr2MGjVKBg4caJKmNu0uWrRIWrVqJUePHpXevXubjkl65KpJFwAAN7HcJtu3b19zO9dTTz0V7DIBAOAojIAEAIBNJFMAAGwimQIAYBPJFAAAm0imAADYRDIFAMAmkikAADaRTAEAsIlkCgCATSRTAABsIpkCAGATyRQAAJtIpgAA2EQyBQDAJpIpAAA2kUwBALCJZAoAgE3xVv9x3bp1snTpUnO/QYMGMnHiRGnRooUsXrxY8vLypLS0VLp06SJjxoyRhIQEu+UCACC6jkz37dsnc+bMMcl08+bNcsstt8iECRNkx44dsnbtWpNM33rrLSksLJQlS5aEvtQAADgtmbZs2dIkzvT0dPF4PHL48GFzdLp161bJzs6W+vXrS1xcnNx3332yYcOG0JcaAAAnnjPVpttPPvlEunbtKmvWrJHc3FzJz8+Xiy++uPx/mjRpYp4DAMBNLJ8zVddff718+OGHsm3bNhk0aJBkZGRITExMpf8597FVuliAi1Ybt+Jf4kdX/HCsI1zxw4F6Rnw3xw+lGK/X663unw4ePCgHDhyQTp06lT+XlZUlbdu2lRtuuEGGDBlinvvoo49k0qRJ8rvf/S6khQYAwHFHpseOHZNhw4bJxo0bTVOunj+NjY2V/v37y6xZsyQnJ0fq1asnq1evlltvvTWgghQVnRKPp0xCsUeSnl5fCgpOSPW7DcR3WvxwrCNc8cOBekZ8N8ePeDJt3769jBo1SgYOHGiSaHJysixatEjatWtnevpqxyPtmJSZmVl+lOov3YCh+rElfvTHj5b3EGpO30bEJ77jz5n27dvX3M6lHZH0BgCAWzECEgAANpFMAQCwiWQKAIBNJFMAAGwimQIAYBPJFAAAm0imAADYRDIFAMAmkikAADaRTAEAsIlkCgCATSRTAABsIpkCAGATyRQAAJtIpgAA2EQyBQDAJpIpAAA2kUwBALAp3uo/rlq1SlauXCkxMTFSp04dGTt2rGRkZEj37t3N47i4OPN/2dnZMmjQILvlAgAgupLpp59+KgsXLpR169ZJWlqavPfeezJ06FDzuLi4WLZt22aSLAAAbmQpmaakpMjkyZNNIlV6RFpQUCA7d+6UpKQkyc3NNY87duwow4cPN0eqAAC4haVzpq1atZIuXbqY+2VlZTJ16lTp1q2beZyVlSXz58+XvLw8yc/Pl+nTp4e2xAAAOPWcqTp58qSMHDlSCgsLTbNvcnKy9OnTp/z1wYMHm/OlEydO9Lsg2kocipZiX8xQtUITP7Lxw7GOcMUPB+oZ8d0cP5RivF6v18o/fv311zJkyBDTxKtNvrVq1ZI33nhDmjdvbp5T//3f/y2/+MUv5A9/+ENICw0AQLBt2bLF5LMmTZrI7t27paSkRDp16hS8I9PDhw9LTk6OPPTQQ+bms3//flm7dq05So2NjZXFixeb3ryBKCo6JR5PmYRijyQ9vb4UFJwQa7sNxHdS/HCsI1zxw4F6Rnw3x6/KCy+8YK5Y0Xy2d+9eGTFihGl97du3rzz22GMSlGSqSfL48eOyadMmc/PRc6VHjx6V3r17i8fjMRl82LBhEgjdgKH6sSV+9MePlvcQak7fRsQnfqisWbNGli1bJi1btpRZs2aZ05b33HOPyW9BS6bjx483t/N56qmn/C81AAA1iB4waiLVpl29HHT06NHmChY9UAx6ByQAAKLRJZdcIjt27JCioiKTRFu3bi3z5s0zV7NYQTIFALjeiBEj5NFHH5UzZ86YTrY6ENH7778v48aNs7Q8yRQA4HrdunUzR6anTp2SZs2amedee+01y8uTTAEAEJF9+/bJhg0b5MiRI9K0aVO588475aqrrrK0LLPGAABcb9u2bWbMeb0c5uOPP5bS0lLp16+fvPvuu5aWJ5kCAFxv3rx55lrTJ554QhITE8150wULFsjcuXMtLU8yBQC43qFDhyQzM7PScx06dJCDBw9aWp5kCgBwvbS0NDOEoPKNsqtNv3rtqRV0QAIAuF7//v3NRC0bN24050sHDBggn332mbz44ouWlieZAgBc7/7775dGjRpJamqqGY9Xe/NOmzZNGjZsaGl5kikAwPXeffdd6dGjh7lfcaAGvVzGSlMv50wBAK43YsQIk0SLi4vLn1uxYoU5SrWCZAoAcL3NmzfLgQMH5I477pDt27fLww8/bGZGmzlzpqXlSaYAANe75JJL5JVXXpHrrrtOhgwZIn/961/l9ddfl1tvvdXS8iRTAIDrnTp1Sn7961/Lli1bZPjw4dKgQQNzdPr1119bWp5kCgBwvV69eskXX3xhxuYdOHCgGeT++uuvN+PzWkFvXgCA6911112meVenXlMJCQlmgvCsrCxLy5NMAQCuN3To0PM+37Vr1+Al01WrVsnKlStNxq5Tp46MHTtWMjIyZPHixZKXl2dGi+jSpYuMGTPGZHMAANyk2nOmn376qSxcuND0ctq0aZMMHjzYZHCdRHXt2rUmmb711ltSWFgoS5YsCU+pAQBwUjJNSUkxU9HoIMBKj0gLCgpk69atkp2dLfXr15e4uDi57777zIlbAADcptpm3latWpmbKisrk6lTp0q3bt0kPz9frr322vL/a9KkiXkuUHrO91/nfYPKFzMUsYkf+fjhWEe44ocD9Yz4bo5vlbbG6qD3Sge610tkqhPj9c01U42TJ0/KyJEjTXOuruixxx4zR6a+oZb2798vffr0kT179lguMAAANY3OY/qnP/3J3NeDRit5zVIHJL1oVbsMaxPvs88+K7Vq1TIj6h85cqT8f/S+PheooqJT4vGUSSj2SNLT60tBwQmxtttAfCfFD8c6whU/HKhnxHdzfKt8l8ece99WMj18+LDk5OTIQw89ZG4+t9xyixmzUF+rV6+erF692vKwS+ejGzBUP7bEj/740fIeQs3p24j4xK+pqk2mevnL8ePHTU9evfloU6+ODKEdjzwej2RmZpqjVwAA3KbaZDp+/HhzO5/c3FxzAwAgWlTsSmSxWxFj8wIAUFHF/j86m4wVJFMAACrYuHFjpXlOrSCZAgBgE8kUAACbSKYAANhEMgUAwCbmMwUAuN5vfvObav/nl7/85QVfI5kCAFxv7969lR5/8MEHZp5un/fff59kCgBAVRYsWFDp8Q033FDpOR3lryqcMwUAwCaSKQAA57A6jKAPyRQAgHOcO/VadcmVZAoAwDmWLVtW6XHDhg2lKiRTAADOcfnll1d6vGXLFqkKyRQA4HqlpaVmnu6ePXvKNddcIz/96U9lyZIlUlZWZml5kikAwPUWLlwoW7dulTFjxkhcXJwMGTJE1q5dKy+99JKl5UmmAADXW7dunTz//PPStWtXk0x79eplrjPNy8uztLxfgzY899xz8t1338mUKVPM4379+smRI0ekdu3a5nGHDh1k3LhxgbwPAAAipqioSJo0aVLpucaNG8uJEyeCl0wPHjwo06ZNM8Mr3X777ea5s2fPmuGXtm/fLsnJyYGUHQCAGqFFixayatUqycnJMZfBeDwemTt3rlx33XXBS6Zr1qyRrKwsad26tTkyVZ9//rkkJibK448/Lvn5+XLllVfKyJEjpUGDBvbeEQAAYfbEE0/IoEGDpGPHjiaR6nCCl112mcyfPz9450xHjBhhsrW2I/scO3bMrHTGjBmyYcMGSUpKMoUBAMBpNHlqB6Qf/ehHMn36dHOd6fr1601TrxUBD3R/0003mZuPjqbfqVMnKS4uNonVXzrYxDkDTgSFL2YoYhM/8vHDsY5wxQ8H6hnx3Ry/KocOHTJ/tfVVW1orPtesWTMJWTLdsWOHxMfHS+fOnc1jbWOOjY01zwUiNbWuhFJ6en3iR3H8aHkPoUY9I76b41elR48eJo/5hhH0DR9Yp04d2bNnj4QsmRYWFprrb/R8ar169cw1OloYPY8aiKKiU+LxWLs41h+6XfQDKig4IX6OW0x8B8QPxzrCFT8cqGfEd3P8quzatav8viZS7d378ssvS/v27cWKgJNpnz595B//+IfcfffdZoSItm3byqRJkwINZzZgqH5siR/98aPlPYSa07cR8YkfKqmpqZUea2faCRMmyM033yz33ntvcJPpI488Uunxr371K3MDACCa6EHixx9/LKdPnw7tkSkAANGiXbt2551m7dyDyAshmQIAXG/t2rWVHuvIR6+++qq51tQKkikAwPXan6ej0dVXX21G/cvOzq52eQa6BwDgPPbv3y/Hjx8XKzgyBQC4Xvfu3SudM9X7OoCDlZ68imQKAHC9UaNGVXqsgxA1bdpUrrjiCkvLk0wBuNa5w9hZGXZOD178HfYunENGIjC33nqr7Nu3zwxC1KhRI7+XJ5kCcKWUlCRJTPz35B3KykhUZz2lkhBfeTkrzoZg5CkEj47ip3N263CCs2bNkoyMDBk4cKA8++yzcvnll1e7PMkUgOvokaIm0v6T3pbi0x7Ly6Ul15IFT/bwe7mk2vGydEJPs16nj6IVrZYuXSp5eXlmkAYd+Wjjxo1y5513msS6ePHiapcnmQJwLU2I35+xnhS/PxMf0HKo+UpLS8svj9EpRvXxgAEDzFRsVnBpDADA9S699FL55JNPzP02bdrI3//+dzl16hSXxgAAYJXOz61jzd91111y9uxZWbRokZk5xuqsMRyZAgBcb8WKFdK8eXMzd6l2QtJrTNPS0mTKlCmWlufIFADgeh988IHExfnfS9uHZAoAcL1NmzZZmsf7QkimAADXe/nll6v9H5JphAUy+gnXogFA+GzevNnW8iTTCIyyYkVJSakcO1YckjIBAP6/Tz/9VDZs2CBHjhwx4/LqoA1XXXWVBD2Z6lBL2sPJ17tJR4jQIZg8Ho+Zpfzpp5824xrC3igrFUdLAQCE3rZt22TcuHEmgepRaq9evaRfv34yZ84cufnmm4NzaczBgwflF7/4hSxZsqT8ua+++kpmzJhh2pnffvttadKkicycOdPeu4lSvtFSrN78SbwAAPvmzZsnL7zwgjzxxBOSmJgokydPlgULFsjcuXMtLW8pma5Zs0aysrIkNze3Uhbv2rWrNG7c2DzOyckx2bysjMGcAQDOcujQIcnMzKz0XIcOHczBZNCS6YgRI0yyrHgNTn5+vlx88cXlj/XItLi42IwYAQCAk+gADbt37zb3fZOE60Fjy5YtQ98BSUeJsPKctVihmfPPn3kKgx3f7jorLh+J8jshfjjWEa744RCN9ezc//EnXrhF8/Z3eh3r37+/DBo0yPQF8g1y/9lnn8mLL74Y2mSqPZ0qHv5q76e6detKSkpKQPFSU+tKKFmZp7Cmxa8Y04nlD2f8aHkPoRat9UznCk2Ir/mjo6alOfs76vT4Vbn//vvNpOCpqanSt29fk+OmTZsmDRs2lJAm0+7du8uDDz5okqieN9VxDXv06CGxsYF9oYuKToknBJPn6h6JfkAFBSdCcu1mVfF9rwVKY6pIld8J8cOxjnDFD4dormf+9Jr3zUsaboWFJyQU3UqipQ4URLiOaQ5T2qvXXwEn09atW8vIkSPNobCOsN+iRQuZPn16oOHMBgzlQAVOjF8xnhPLH8740fIeQs3p26iq+P7MMeqblzTconn7u72O+fWNeuSRRyo91utw9AYAgJsxAlINFkgHJN2rc0JHDACIJiTTGkg7UmiHikA6IJ31lEpCvH/DF+q6AACBI5nWQPFxsSah+jsMoa9ThT/LVRy60KnnKgAg0kimNZg/HSoqdqrwdzkAgD01/8IsAABqOJIpAAA2kUwBALCJZAoAgE0kUwAAbCKZAgBgE8kUAACbSKYAANhEMgUAwCaSKQAANpFMAQCwiWQKAIBNJFMAACI9a8zo0aPlo48+kvr1f5hv89JLL5W5c+faDQsAgHuS6e7du2XBggXSpk2b4JQIAAA3JdOjR4/K4cOHzZHo3//+d7nsssvkySeflGbNmgWvhAAARPM502+//Va6dOlimno3bdokGRkZMnjwYCktLQ1eCQEAiOYj0yuuuMI08foMGDBA5s+fL/v375dWrVr5FSsm5odbsPlihiJ2dfFDtc5QcOr2D8c6whU/HJz6OVPPqo9b8S/xw/8dsZVM9+zZI0eOHJHbbrut/Dmv1yvx8f6HTU2tK6GUnl7f0fFDLS3N+duHz7h61LPIcno9c3r8GptMS0pKZPLkyZKZmSmNGjWS5cuXmyPS5s2b+x2rqOiUeDxlEoo9Ev2ACgpOiNcrYY3ve80JCgtPSFnwN3/It3841hGu+OFAPYssp9azaIlfY5PpjTfeKEOHDpXc3FxznrRp06by/PPPS0wAx9S6AUP1YxsN8UMtGrZPNLyHUHP6NnL6Z+D07eP0+DX60picnBxzAwDArRgBCQCASB+ZIjoE0svQqc0xQKRQz6IXydTlEuJj5aynLKBehiUlpXLsWHFIygVEE+pZ9COZulx8XKyp6P0nvS3Fpz2Wl0uqHS9LJ/Q0e9nsOQNVo55FP5IpDK3g35+xXskB+I96Fr3ogAQAgE0cmQKoMUO40ZQJpyKZAgi6lJQkSUyM83s5OtvAqUimAIJ+RKqJlM42cBOSKYCQoLMN3IQOSAAA2MSRKQDbHYnCMW+tm1W3Xc+3/bWpnNGWwodkCiBoHYmcMhWa00ZOsrpdK/7fWU+pJMT71wmMDmCBI5kCCGpHorTkWrLgyR4hLZtbBDpyku8z8Gc5OoDZQzIFENSORN+f4WelpnwGdAILHzogAQBgE8kUAACbXNkewzBnkcdnAH++G1X1FqYHcc0Q4/I6bTuZvv/++zJ79mw5c+aMXHzxxTJjxgxp1KiR1FQMcxZ5fAYItOcqvYVrphTqtL1kWlhYKI8//rgsW7ZM2rZta/6OHj1aFi9eLDURw5xFHp8BQtVzFc6t0+L2ZPrBBx+YJKo3de+998rMmTPlu+++k4YNG0pNRQ+3yOMzwIXQe9iZil1ep211QPrmm29M065PYmKiNGjQQPLz84NRNgAAHMHWLp3X65WY8xyjx8b6n6Pj42MDGvrK6jBbCQn/LlO7yxrI6ZJSy+up/a9zARrj3CbGivEv9Jq/60uumxi25QJdV1XbpKrtE+g2CfQzCGRItXOXqyp+VctZFc5mLn/qmRO+v4Eu54Qyhnu5cP/O1a6wPh8rdSyQehaOOhbj1YwYoM2bN8v69etlyZIl5nFJSYlkZmbKH/7wB0lLSwtmOQEAiM5m3s6dO8vnn38uX375pXmcl5cnV199NYkUAOAqto5M1c6dO2XWrFnm0pj09HSZPn26NGvWLHglBAAg2pMpAABux3CCAADYRDIFAMAmkikAADaRTAEAsIlkCgCATSRTAABsIpkCAGBTRKdbCPVcqDod3EcffST16/8wB+Kll14qc+fODUrs5557zsyOM2XKFPN448aNsnDhQvF4PNKuXTt5+umnpV69ekGL369fPzly5IjUrl3bPO7QoYOMGzfO77irVq2SlStXmjGV69SpI2PHjpWMjAwzbZ6OYFVaWipdunSRMWPGSEJCQtDid+/e3TyOi/thPM7s7GwZNGiQ3/HXrVsnS5cuNfd1UoWJEydKixYtglb+C8UPVvl9/vznP0tOTo5s27ZNmjRpEvTvTzTUM+qY/+ugnkWunulg9RFRUFDgveGGG7xffPGFefzKK694H3zwwaCu45ZbbvH+9a9/DWrMAwcOeIcOHerNyMjwjhkzxjz35Zdfejt16uT95ptvzONp06Z5x48fH7T4JSUl3muvvdZ77NgxW2XfvXu3t1u3bmbbq3fffdfbuXNn7/bt27233Xab9/jx416Px+N99NFHvS+++GLQ4ut26dixo7esrMxW+f/2t7+Z7Xz06FHzeNmyZd4HHnggaOW/UPxgld9H4/fu3dvbpk0bb35+flC/P9FQz6hjga2Deha5eqYi1sx7vrlQde9W9xSD4ejRo3L48GGzh9yrVy955JFH5NChQ7bjrlmzRrKysiQ3N7f8Od3r6dq1qzRu3Ng81j0hnQSgrKwsKPF1/GOd3k4nYtf3okcC//znP/2OnZKSIpMnTy4fO1n3ZAsKCmTr1q1mD1CPLHSP8L777pMNGzYELb4OOZmUlGTek5ZfjwS+//57v+O3bNlSduzYYYat1D1L/Xx1rzZY5b9Q/N27dwel/ErjDh8+XJ544omQfH+ioZ5RxwJbB/UscvVMRSyZhnou1G+//dY0Q2il2LRpk/nCDR482DRP2DFixAjzIfiaIZSWueJ70eaE4uJiKSoqCkr8Y8eOSceOHU3znH559QtX8UtiVatWrcw2UfoFmjp1qnTr1u285Q/kc7hQfKU/XvPnzzdNRBpbx3AOhDYpffLJJ6ZS6I+iVrxglf9C8bV5NFjlnzlzptx4441mkohQfH+ioZ5RxwJbh6KeRaaeRTSZBnMu1PO54oorZMGCBWbQfV3PgAEDzB7z/v37JRTO917O91wgbrrpJnN+R38E4+Pj5Ze//KU54tAvQiBOnjxpYuj20B+P85XVTtnPjd+nTx+zJ63nQvR8lP7Y6l5uoK6//nr58MMPTYXxnU8JZvnPja/ncYJR/jfeeEP+8Y9/yJAhQ8L2/YmmekYdq3od1LPI1bOIJtOmTZuak/0+OheqNqvo88GwZ88eeeutt/7fD4tWlFC/F71ft25d0xwTDNokol+6iu9DfwwDeS9ff/213HXXXeak+yuvvCLJycnnLX+gn8P54uuX+7/+678qlT+Qsh88eFB27dpV/rhHjx5mD1f3zoNR/gvFX7FiRVDKr50utJLfcccd0rt3b/PcQw89ZDoDher7Ey31jDpW/TqoZ5GrZxFNpqGeC1V/NHQvR5uh1PLly03zSPPmzSXYdI9KK6Pvg9IvhX5BgrX3X1hYaJpydE9UaW80ja9Ndv7QcxPavHX33XebvcFatWqZ52+55Rb53e9+J8ePHzcVZvXq1XLrrbf6Xc4LxdejlGeeecZ8JnouQ3sE6rkXf2lT3LBhw0zTpdJtrtu4f//+QSn/heJrk2Uwyr9kyRL5/e9/b3oU6k1prJ49e4bs+xMt9Yw6Vv06qGeRq2cRvTRGK/Ozzz4ro0aNKp8LVb8YwaLt5UOHDjVt8foh6R7U888/H7RD+opat24tI0eONE1cZ8+eNV28A23rPx9tvtE9La08+iXWziSTJk3yO45+obQi6LktvfnoD8edd95pOhTolzgzM/O8TSSBxtdzINpRRfcSNX6nTp1MZfJX+/btzfdl4MCBpgLo3viiRYtMF/d9+/bZLv+F4mtyCEb5I/H9iZZ6Rh2rfh3Us8h+h5jPFAAAmxgBCQAAm0imAADYRDIFAMAmkikAADaRTAEAsIlkCgCATSRTBzt9+nTQBiy368CBA5EuAhAS1DNYQTJ1sPvvv9/MtKAXbuvQYpGiI+zoBelANKKeocZPDg57fLMd/OxnPzO3SDlx4oQZUQSIRtQzWMEISA6lMyps377djB368MMPy5tvvmkGul6/fr0Z6FmHddP5+xo2bGjm9bvtttuqjTlv3jz56quvzByCf/rTn8z4quPGjZMbbrihfFBzHX5Lx3nVYel0GDkd+1XHHdWh6nTaKt17/9GPfhSGLQCEHvUMlgVtmnGE3U9+8hPvm2++6V23bp03OzvbPKf3dWb53/72t94zZ854t27d6m3fvr33q6++qjbe3LlzzbLr16/3lpSUeF999VVvZmamt6CgwFtYWOi9/vrrvUuXLjWv7dmzx3v11Vd79+7d6/3jH//oveaaa8LwjoHwo57BCs6ZRiHdW9YBqHVvWmdF0MHIdRYFK6677joz6LdOiaQzU1x00UXy3nvvmb1zHTT95z//uXntmmuukZUrV7J3DNeinqEizplGoUsuuaTSrB06o7zOxmDFpZdeWumxzkyvy2q8c+cu1ImhAbeinqEikmkU8s0t6XPo0KHy8zHVqTh5rm/uRP2RUL75B310j7lNmza2yws4EfUMFdHM62DaDKQ9/M6lkwRrBdQ5Ad9++2359NNPLU+yu2vXLnnnnXfMskuXLjUT+Xbr1k26du1qJlBetWqVmbfyz3/+s8yZM0fq1Kljmrm0l6FejwdEG+oZrODI1MH0mrMpU6ZIrVq1TG9CHz2/ohVbJ4Vu3Lix/OY3v/l/zUoXctVVV8maNWvMJLotW7aUl156SVJSUsxrOoHvtGnTZPbs2eYcz+TJk81Ev8XFxXLllVeayXyXLVtmYgDRgnoGK7g0Jspol/2XX37ZdN/3l3bZ37t3r7z44oshKRsQLahnOBfNvAAA2EQzr0v885//lJtvvvmCr2dlZcnll18e1jIB0YZ65l408wIAYBPNvAAA2EQyBQDAJpIpAAA2kUwBALCJZAoAgE0kUwAAbCKZAgAg9vwfTvnUgdCdqAIAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tips['tip_pct'] = tips['tip'] / tips['total_bill'] * 100\n", "\n", "grid = sns.FacetGrid(tips, row=\"sex\", col=\"time\", margin_titles=True)\n", "grid.map(plt.hist, \"tip_pct\", bins=np.linspace(0, 40, 15));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Cat plots\n", "Cat plots can be useful for this kind of visualization as well. This allows us to view the distribution of a parameter within bins defined by any other parameter:" ] }, { "cell_type": "code", "execution_count": 274, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with sns.axes_style(style='ticks'):\n", " g = sns.catplot(data=tips, x=\"day\", y=\"total_bill\", hue=\"sex\", kind=\"box\")\n", " g.set_axis_labels(\"Day\", \"Total Bill\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Joint distributions\n", "We can use `sns.jointplot` to show the joint distribution between different datasets, along with the associated marginal distributions:" ] }, { "cell_type": "code", "execution_count": 276, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with sns.axes_style('white'):\n", " sns.jointplot(x=\"total_bill\", y=\"tip\", data=tips, kind='hex')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The joint plot can even do some automatic kernel density estimation and regression:" ] }, { "cell_type": "code", "execution_count": 278, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 278, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.jointplot(x=\"total_bill\", y=\"tip\", data=tips, kind='reg')" ] }, { "attachments": { "944557b1-4132-482f-b55a-a950284d28b0.png": { "image/png": "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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "### Violin plots\n", "A violin plot is a hybrid of a box plot and a kernel density plot, and it shows the distribution of quantitative data across several levels of one (or more) categorical variables such that those distributions can be compared. Unlike a box plot, in which all of the plot components correspond to actual data points, the violin plot features a kernel density estimation of the underlying distribution.\n", "\n", "Here is an illustration of a violin plot:\n", "\n", "
\n", "\n", "
\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Violin plots have many of the same summary statistics as box plots:\n", "\n", "- the white dot represents the median\n", "- the thick gray bar in the center represents the interquartile range\n", "- the thin gray line represents the rest of the distribution, except for points that are determined to be “outliers” using a method that is a function of the interquartile range.\n", "\n", "On each side of the gray line is a kernel density estimation to show the distribution shape of the data. Wider sections of the violin plot represent a higher probability that members of the population will take on the given value; the skinnier sections represent a lower probability." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here is how we can draw a basic violin plot:" ] }, { "cell_type": "code", "execution_count": 282, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = sns.violinplot(x=tips[\"total_bill\"])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we can compare the distribution of the variable *total_bill* for different values of categorical variables: through x-axis (*x='day'*) and through hue (*hue='smoker'*)" ] }, { "cell_type": "code", "execution_count": 284, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 284, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.violinplot(x=\"day\", y=\"total_bill\", hue=\"smoker\",data=tips, palette=\"muted\", split=True)" ] } ], "metadata": { "kernelspec": { "display_name": "ml2025", "language": "python", "name": "ml2025" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.8" }, "nav_menu": {}, "toc": { "navigate_menu": true, "number_sections": true, "sideBar": true, "threshold": 6, "toc_cell": false, "toc_section_display": "block", "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 4 }