| | import numpy as np |
| | import matplotlib.pyplot as plt |
| | from sklearn import svm |
| | import gradio as gr |
| | from PIL import Image |
| |
|
| | def calculate_score(clf): |
| | xx, yy = np.meshgrid(np.linspace(-3, 3, 500), np.linspace(-3, 3, 500)) |
| | X_test = np.c_[xx.ravel(), yy.ravel()] |
| | Y_test = np.logical_xor(xx.ravel() > 0, yy.ravel() > 0) |
| | return clf.score(X_test, Y_test) |
| |
|
| | def getColorMap(kernel, gamma): |
| | |
| | np.random.seed(0) |
| | X = np.random.randn(300, 2) |
| | Y = np.logical_xor(X[:, 0] > 0, X[:, 1] > 0) |
| |
|
| | |
| | clf = svm.NuSVC(kernel=kernel, gamma=gamma) |
| | clf.fit(X, Y) |
| | |
| | |
| | xx, yy = np.meshgrid(np.linspace(-3, 3, 500), np.linspace(-3, 3, 500)) |
| | |
| | |
| | Z = clf.decision_function(np.c_[xx.ravel(), yy.ravel()]) |
| | Z = Z.reshape(xx.shape) |
| |
|
| | plt.figure(figsize=(10, 4)) |
| | plt.imshow( |
| | Z, |
| | interpolation="nearest", |
| | extent=(xx.min(), xx.max(), yy.min(), yy.max()), |
| | aspect="auto", |
| | origin="lower", |
| | cmap=plt.cm.PuOr_r, |
| | ) |
| | contours = plt.contour(xx, yy, Z, levels=[0], linewidths=2, linestyles="dashed") |
| | plt.scatter(X[:, 0], X[:, 1], s=30, c=Y, cmap=plt.cm.Paired, edgecolors='k') |
| | plt.title(f"Decision function for Non-Linear SVC with the {kernel} kernel and '{gamma}' gamma ", fontsize='14') |
| | plt.xlabel("X",fontsize='13') |
| | plt.ylabel("Y",fontsize='13') |
| | return plt, calculate_score(clf) |
| |
|
| | |
| | XOR_TABLE = """ |
| | <style type="text/css"> |
| | .tg {border-collapse:collapse;border-spacing:10PX;width:50%;margin:auto} |
| | .tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px; |
| | overflow:hidden;padding:10px 5px;word-break:normal;} |
| | .tg th{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px; |
| | font-weight:normal;overflow:hidden;padding:10px 5px;word-break:normal;} |
| | .tg .tg-c3ow{border-color:inherit;text-align:center} |
| | td, th {padding-left: 1rem} |
| | </style> |
| | <BR> |
| | <H3>Table explaining the 'XOR' operator</H3> |
| | <table class="tg"> |
| | <thead> |
| | <tr> |
| | <th class="tg-c3ow">A</th> |
| | <th class="tg-c3ow">B</th> |
| | <th class="tg-c3ow">A XOR B</th> |
| | </tr> |
| | </thead> |
| | <tbody> |
| | <tr> |
| | <td class="tg-c3ow">0</td> |
| | <td class="tg-c3ow">0</td> |
| | <td class="tg-c3ow">0</td> |
| | </tr> |
| | <tr> |
| | <td class="tg-c3ow">0</td> |
| | <td class="tg-c3ow">1</td> |
| | <td class="tg-c3ow">1</td> |
| | </tr> |
| | <tr> |
| | <td class="tg-c3ow">1</td> |
| | <td class="tg-c3ow">0</td> |
| | <td class="tg-c3ow">1</td> |
| | </tr> |
| | <tr> |
| | <td class="tg-c3ow">1</td> |
| | <td class="tg-c3ow">1</td> |
| | <td class="tg-c3ow">0</td> |
| | </tr> |
| | </tbody> |
| | </table> |
| | """ |
| |
|
| |
|
| | with gr.Blocks() as demo: |
| | gr.Markdown("## Learning the XOR function: An application of Binary Classification using Non-linear SVM") |
| | gr.Markdown("### This demo is based on this [scikit-learn example](https://scikit-learn.org/stable/auto_examples/svm/plot_svm_nonlinear.html#sphx-glr-auto-examples-svm-plot-svm-nonlinear-py).") |
| | gr.Markdown("### In this demo, we use a non-linear SVC (Support Vector Classifier) to learn the decision function of the XOR operator.") |
| | |
| | gr.Markdown("### Furthermore, we observe that we get different decision function plots by varying the Kernel and Gamma hyperparameters of the non-linear SVC.") |
| |
|
| | gr.Markdown("### Feel free to experiment with kernel and gamma values below to see how the quality of the decision function changes with the hyperparameters.") |
| |
|
| | inp1 = gr.Radio(['poly', 'rbf', 'sigmoid'], label="Kernel", info="Choose a kernel", value="poly") |
| | inp2 = gr.Radio(['scale', 'auto'], label="Gamma", info="Choose a gamma value", value="scale") |
| | |
| | with gr.Row().style(equal_height=True): |
| | with gr.Column(scale=2): |
| | plot = gr.Plot(label=f"Decision function plot") |
| | with gr.Column(scale=1): |
| | num = gr.Textbox(label="Test Accuracy") |
| |
|
| | inp1.change(getColorMap, inputs=[inp1, inp2], outputs=[plot, num]) |
| | inp2.change(getColorMap, inputs=[inp1, inp2], outputs=[plot, num]) |
| | demo.load(getColorMap, inputs=[inp1, inp2], outputs=[plot, num]) |
| |
|
| | gr.HTML(XOR_TABLE) |
| |
|
| |
|
| | if __name__ == "__main__": |
| | demo.launch() |