{"cells":[{"cell_type":"markdown","metadata":{"id":"WajgOVj6o7nR"},"source":["# Lab 5 - Solutions 2: Non-linearly separable data"]},{"cell_type":"code","execution_count":1,"metadata":{"id":"z_XdTqlfo7nV","executionInfo":{"status":"ok","timestamp":1708965968059,"user_tz":0,"elapsed":2483,"user":{"displayName":"Ben Evans","userId":"05311453112213240997"}}},"outputs":[],"source":["import numpy as np\n","from scipy.stats import norm\n","from sklearn.cluster import KMeans\n","import matplotlib.pyplot as plt"]},{"cell_type":"code","execution_count":2,"metadata":{"id":"9IRejPqbo7nW","executionInfo":{"status":"ok","timestamp":1708965992952,"user_tz":0,"elapsed":208,"user":{"displayName":"Ben Evans","userId":"05311453112213240997"}}},"outputs":[],"source":["## Generate the data\n","\n","nbpts1 = 100 # Number of points in first cluster (vary to explore effect of number of points)\n","mu1 = [3, 0] # the mean of the first cluster (this is a vector as we are in 2D) -- move it around\n","sigma1 = [[0.7, 0], [0, 0.7]] # the covariance matrix of the first cluster -- this one is not correlated\n","data1 = np.random.multivariate_normal(mu1, sigma1, nbpts1)\n","\n","nbpts2 = 100 # Number of points in second cluster (vary to explore effect of number of points)\n","mu2 = [6, 0] # the mean of the second cluster (this is a vector as we are in 2D) -- move it around\n","sigma2 = [[1.0, 0.0], [0.0, 1.0]] # the covariance matrix of the second cluster\n","data2 = np.random.multivariate_normal(mu2, sigma2, nbpts2)\n","\n","data = np.concatenate((data1, data2), axis=0) # Concatenate the data by row\n","classes = np.concatenate([np.zeros(nbpts1, dtype=int), np.ones(nbpts2, dtype=int)]) # integers"]},{"cell_type":"code","execution_count":3,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":448},"id":"yeDBI88po7nX","outputId":"f824016e-8d6e-4c77-ea72-330733064eb7","executionInfo":{"status":"ok","timestamp":1708965999596,"user_tz":0,"elapsed":1515,"user":{"displayName":"Ben Evans","userId":"05311453112213240997"}}},"outputs":[{"output_type":"execute_result","data":{"text/plain":[""]},"metadata":{},"execution_count":3},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{}}],"source":["## 2D plot of the data to check linear separability\n","\n","plt.figure(1)\n","plt.scatter(data1[:, 0], data1[:, 1], c='r', s=12)\n","plt.scatter(data2[:, 0], data2[:, 1], c='b', s=12)"]},{"cell_type":"markdown","metadata":{"id":"fDc7bb5To7nY"},"source":["## Batch learning, default settings."]},{"cell_type":"code","execution_count":4,"metadata":{"id":"dNUYYtkCo7nY","executionInfo":{"status":"ok","timestamp":1708966006838,"user_tz":0,"elapsed":200,"user":{"displayName":"Ben Evans","userId":"05311453112213240997"}}},"outputs":[],"source":["## Set up Perceptron for batch\n","from sklearn.linear_model import Perceptron\n","from sklearn.metrics import accuracy_score, hinge_loss, confusion_matrix # Python has a class of metrics -- very useful"]},{"cell_type":"code","execution_count":5,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":75},"id":"x_CI1WbIo7nZ","outputId":"124c4fb3-2549-40ee-a3a8-34698ee02237","executionInfo":{"status":"ok","timestamp":1708966012561,"user_tz":0,"elapsed":203,"user":{"displayName":"Ben Evans","userId":"05311453112213240997"}}},"outputs":[{"output_type":"execute_result","data":{"text/plain":["Perceptron(eta0=1, max_iter=100)"],"text/html":["
Perceptron(eta0=1, max_iter=100)
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.
"]},"metadata":{},"execution_count":5}],"source":["clf = Perceptron(eta0=1, max_iter=100) # Here I'm going to simply set a max number of epochs to 100. You can vary this number.\n","clf.fit(data, classes) # Learning."]},{"cell_type":"code","execution_count":7,"metadata":{"id":"w0jScdIMo7na","executionInfo":{"status":"ok","timestamp":1708966032600,"user_tz":0,"elapsed":1,"user":{"displayName":"Ben Evans","userId":"05311453112213240997"}}},"outputs":[],"source":["pred_class = clf.predict(data) # Prediction after learning"]},{"cell_type":"code","execution_count":8,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"mOr5_4yzo7na","outputId":"0c971ae9-fd6e-4626-f06f-cb46f75f2eff","executionInfo":{"status":"ok","timestamp":1708966036744,"user_tz":0,"elapsed":193,"user":{"displayName":"Ben Evans","userId":"05311453112213240997"}}},"outputs":[{"output_type":"stream","name":"stdout","text":["Process completed in 12 epochs\n","Classification accuracy = 160\n","[[ 60 40]\n"," [ 0 100]]\n"]}],"source":["# Print some statistics\n","print(f'Process completed in {clf.n_iter_} epochs')\n","print(f'Classification accuracy = {accuracy_score(classes, pred_class, normalize=False)}')\n","print(confusion_matrix(classes, pred_class)) # Confusion matrix"]},{"cell_type":"code","execution_count":9,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"QnQxepsuo7nb","outputId":"4d8de31a-2cad-4050-af88-14334ad988e5","executionInfo":{"status":"ok","timestamp":1708966046169,"user_tz":0,"elapsed":192,"user":{"displayName":"Ben Evans","userId":"05311453112213240997"}}},"outputs":[{"output_type":"stream","name":"stdout","text":["Final weights are: 15.434 4.701 -48.000\n","\n"]}],"source":["# Let's plot the weights\n","print(f'Final weights are: {clf.coef_[0][0]:.3f} {clf.coef_[0][1]:.3f} {clf.intercept_[0]:.3f}\\n')"]},{"cell_type":"code","execution_count":10,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":861},"id":"z9nD1tTRo7nc","outputId":"db3656f4-bbbc-4e97-8dc9-1e44b3ad746b","executionInfo":{"status":"ok","timestamp":1708966064214,"user_tz":0,"elapsed":1511,"user":{"displayName":"Ben Evans","userId":"05311453112213240997"}}},"outputs":[{"output_type":"execute_result","data":{"text/plain":[""]},"metadata":{},"execution_count":10},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{}}],"source":["# Plotting decision regions\n","\n","# First find out area of the graph\n","plt.figure(1)\n","plt.scatter(data1[:, 0], data1[:, 1], c='r', s=12)\n","plt.scatter(data2[:, 0], data2[:, 1], c='b', s=12)\n","axes = plt.gca()\n","(x_min, x_max) = axes.get_xlim()\n","(y_min, y_max) = axes.get_ylim()\n","# Generate a meshgrid over which to make predictions\n","xx, yy = np.meshgrid(np.arange(x_min, x_max, 0.01), np.arange(y_min, y_max, 0.01))\n","plt.figure(2)\n","Z = clf.predict(np.c_[xx.ravel(), yy.ravel()])\n","Z = Z.reshape(xx.shape)\n","plt.contourf(xx, yy, Z, alpha=0.4) # Will reveal decision boundary\n","plt.scatter(data1[:, 0], data1[:, 1], c='r', s=8)\n","plt.scatter(data2[:, 0], data2[:, 1], c='b', s=8)"]},{"cell_type":"markdown","metadata":{"id":"8tgVrimZo7nd"},"source":["## Sequential learning, default settings"]},{"cell_type":"code","execution_count":11,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":950},"id":"MBhOjL7ko7nd","outputId":"9c66b919-5fc5-462d-c5be-2cc74c667423","executionInfo":{"status":"ok","timestamp":1708966192058,"user_tz":0,"elapsed":3710,"user":{"displayName":"Ben Evans","userId":"05311453112213240997"}}},"outputs":[{"output_type":"stream","name":"stdout","text":["Process terminated after 1000 iterations or 5 epochs\n","Classification accuracy = 176\n","[[77 23]\n"," [ 1 99]]\n","Final weights are: 0.107 -0.015 -0.370\n"]},{"output_type":"execute_result","data":{"text/plain":[""]},"metadata":{},"execution_count":11},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{}}],"source":["## Set up Perceptron for sequential\n","# Same code but use function partial_fit.\n","from sklearn.utils import shuffle # will use this function to shuffle presentation of data before each epoch\n","\n","clf = Perceptron(eta0=0.01, alpha=0.0) # Here I'm going to specify a value for the learning rate (consider changing it to see effect) and also setting regularisation to 0.0 as we do not need it.\n","\n","# Shuffle dataset\n","data, classes = shuffle(data, classes, random_state=0)\n","\n","plt.figure(3)\n","plt.scatter(data1[:, 0], data1[:, 1], c='r', s=12)\n","plt.scatter(data2[:, 0], data2[:, 1], c='b', s=12)\n","\n","num_iter = 0\n","max_iter = 1000 # Setting a max number of iterations\n","while num_iter < max_iter:\n","\n"," # Shuffle at the beginning of each epoch\n"," if num_iter % len(data) == 0:\n"," data, classes = shuffle(data, classes, random_state=0) # Shuffle dataset\n","\n"," clf.partial_fit(data[num_iter % len(data), :].reshape(1, -1),\n"," [classes[num_iter % len(data)]],\n"," classes=np.unique(classes)) # Learning over one sample\n","\n"," # Plot the new decision boundary\n"," axes = plt.gca()\n"," (x_min, x_max) = axes.get_xlim()\n"," (y_min, y_max) = axes.get_ylim() # We want to keep the plot to the same dimension\n"," plt.plot([x_min, x_max],\n"," [(-clf.coef_[0][0] * x_min - clf.intercept_) / clf.coef_[0][1],\n"," (-clf.coef_[0][0] * x_max - clf.intercept_) / clf.coef_[0][1]],\n"," 'k-')\n"," plt.ylim([y_min, y_max]) # Restrict plot to original dimension\n"," plt.xlim([x_min, x_max])\n","\n"," pred_class = clf.predict(data) # Prediction after learning -- actually not needed for this stopping criterion\n"," num_iter += 1\n","\n","# Highlight last boundary\n","# Plot the new decision boundary\n","axes = plt.gca()\n","(x_min, x_max) = axes.get_xlim()\n","(y_min, y_max) = axes.get_ylim() # We want to keep the plot to the same dimension\n","plt.plot([x_min, x_max],\n"," [(-clf.coef_[0][0] * x_min - clf.intercept_) / clf.coef_[0][1],\n"," (-clf.coef_[0][0] * x_max - clf.intercept_) / clf.coef_[0][1]],\n"," 'r-', linewidth=3)\n","plt.ylim([y_min, y_max]) # Restrict plot to original dimension\n","plt.xlim([x_min, x_max])\n","\n","\n","# Print some statistics\n","print(f'Process terminated after {num_iter} iterations or {int(np.ceil(num_iter / len(data)))} epochs')\n","print(f'Classification accuracy = {accuracy_score(classes, pred_class, normalize=False)}')\n","print(confusion_matrix(classes, pred_class)) # Confusion matrix\n","\n","# Let's plot the weights\n","print(f'Final weights are: {clf.coef_[0][0]:.3f} {clf.coef_[0][1]:.3f} {clf.intercept_[0]:.3f}')\n","\n","# Plotting decision regions\n","# First find out area of the graph\n","axes = plt.gca()\n","(x_min, x_max) = axes.get_xlim()\n","(y_min, y_max) = axes.get_ylim()\n","# Generate a meshgrid over which to make predictions\n","xx, yy = np.meshgrid(np.arange(x_min, x_max, 0.01), np.arange(y_min, y_max, 0.01))\n","plt.figure(4)\n","Z = clf.predict(np.c_[xx.ravel(), yy.ravel()])\n","Z = Z.reshape(xx.shape)\n","plt.contourf(xx, yy, Z, alpha=0.4) # Will reveal decision boundary\n","plt.scatter(data1[:, 0], data1[:, 1], c='r', s=12)\n","plt.scatter(data2[:, 0], data2[:, 1], c='b', s=12)"]},{"cell_type":"markdown","metadata":{"id":"knYEaKbPo7ne"},"source":["## Batch learning with weight related stopping criterion"]},{"cell_type":"markdown","metadata":{"id":"vXlKVV5Ko7ne"},"source":["The variable `tol` here assigns a minimum value for the change in the weights after one round of learning. You can play around with different values of this."]},{"cell_type":"code","execution_count":12,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":1000},"id":"7U_ez7Q8o7nf","outputId":"4be9ea5b-59e2-485e-ba68-c4a73263a1ac","executionInfo":{"status":"ok","timestamp":1708966288876,"user_tz":0,"elapsed":1989,"user":{"displayName":"Ben Evans","userId":"05311453112213240997"}}},"outputs":[{"output_type":"stream","name":"stdout","text":["Process terminated after 3 epochs\n","Classification accuracy = 176\n","[[77 23]\n"," [ 1 99]]\n","Final weights are: 0.178 0.010 -0.640\n"]},{"output_type":"execute_result","data":{"text/plain":["[]"]},"metadata":{},"execution_count":12},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{}}],"source":["## Set up Perceptron for batch\n","clf = Perceptron(eta0=0.01, alpha=0.0, warm_start=True)\n","\n","plt.figure(5)\n","plt.scatter(data1[:, 0], data1[:, 1], c='r', s=12)\n","plt.scatter(data2[:, 0], data2[:, 1], c='b', s=12)\n","\n","tol = 0.1 # min value for change between consecutive weights\n","\n","num_epoch = 0\n","max_epoch = 100 # Setting a max number of epochs\n","dwnorm_array = np.zeros((max_epoch, 1)) # Storing norm of weight change at each iteration\n","previous_weight = np.zeros((1, 3)).ravel() # This is nominal ... the weights are initially random.\n","while num_epoch < max_epoch:\n"," clf.fit(data, classes) # Learning over one epoch\n"," dw = previous_weight - np.r_[clf.coef_[0], clf.intercept_] # This is the change in weight\n"," dwnorm = np.sqrt(np.dot(dw, dw))\n","\n"," # Plot the new decision boundary\n"," axes = plt.gca()\n"," (x_min, x_max) = axes.get_xlim()\n"," (y_min, y_max) = axes.get_ylim() # We want to keep the plot to the same dimension\n"," plt.plot([x_min, x_max],\n"," [(-clf.coef_[0][0] * x_min - clf.intercept_) / clf.coef_[0][1],\n"," (-clf.coef_[0][0] * x_max - clf.intercept_) / clf.coef_[0][1]],\n"," 'k-')\n"," plt.ylim([y_min, y_max]) # Restrict plot to original dimension\n"," plt.xlim([x_min, x_max])\n","\n"," # pred_class = clf.predict(data) # Prediction after learning -- actually not needed for this stopping criterion\n"," dwnorm_array[num_epoch] = dwnorm\n"," num_epoch += 1\n","\n"," # Check termination criterion\n"," if dwnorm < tol: # We have converged\n"," break\n"," previous_weight = np.r_[clf.coef_[0], clf.intercept_]\n","\n","\n","# Highlight last boundary\n","# Plot the new decision boundary\n","axes = plt.gca()\n","(x_min, x_max) = axes.get_xlim()\n","(y_min, y_max) = axes.get_ylim() # We want to keep the plot to the same dimension\n","plt.plot([x_min, x_max],\n"," [(-clf.coef_[0][0] * x_min - clf.intercept_) / clf.coef_[0][1],\n"," (-clf.coef_[0][0] * x_max - clf.intercept_) / clf.coef_[0][1]],\n"," 'r-', linewidth=3)\n","plt.ylim([y_min, y_max]) # Restrict plot to original dimension\n","plt.xlim([x_min, x_max])\n","\n","\n","# Print some statistics\n","print(f'Process terminated after {num_epoch} epochs')\n","print(f'Classification accuracy = {accuracy_score(classes, pred_class, normalize=False)}')\n","print(confusion_matrix(classes, pred_class)) # Confusion matrix\n","\n","# Let's plot the weights\n","print(f'Final weights are: {clf.coef_[0][0]:.3f} {clf.coef_[0][1]:.3f} {clf.intercept_[0]:.3f}')\n","\n","# Plotting decision regions\n","# First find out area of the graph\n","axes = plt.gca()\n","(x_min, x_max) = axes.get_xlim()\n","(y_min, y_max) = axes.get_ylim()\n","# Generate a meshgrid over which to make predictions\n","xx, yy = np.meshgrid(np.arange(x_min, x_max, 0.01), np.arange(y_min, y_max, 0.01))\n","plt.figure(6)\n","Z = clf.predict(np.c_[xx.ravel(), yy.ravel()])\n","Z = Z.reshape(xx.shape)\n","plt.contourf(xx, yy, Z, alpha=0.4) # Will reveal decision boundary\n","plt.scatter(data1[:, 0], data1[:, 1], c='r', s=12)\n","plt.scatter(data2[:, 0], data2[:, 1], c='b', s=12)\n","\n","\n","# Plot array of weight changes\n","plt.figure(7)\n","plt.plot(dwnorm_array[0:num_epoch])\n","\n","# Done!"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"tRp3Rbt2o7nf"},"outputs":[],"source":[]}],"metadata":{"kernelspec":{"display_name":"Python 3","language":"python","name":"python3"},"language_info":{"codemirror_mode":{"name":"ipython","version":3},"file_extension":".py","mimetype":"text/x-python","name":"python","nbconvert_exporter":"python","pygments_lexer":"ipython3","version":"3.7.4"},"colab":{"provenance":[]}},"nbformat":4,"nbformat_minor":0}