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@JoshZastrow
Created October 28, 2018 22:09
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XOR-Classifier.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "XOR-Classifier.ipynb",
"version": "0.3.2",
"provenance": [],
"collapsed_sections": [],
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/JoshZastrow/25925ac920e8e5a4a1388e430dd80bc2/xor-classifier.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"metadata": {
"id": "8cG1Em0mq8QS",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"# Create Sample Data"
]
},
{
"metadata": {
"id": "WIrSIyNPpHNR",
"colab_type": "code",
"outputId": "8a6e738e-9bb1-485d-989d-caeb89606c59",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 283
}
},
"cell_type": "code",
"source": [
"# X, Y = load_planar_dataset()\n",
"%matplotlib inline\n",
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"\n",
"def get_data():\n",
" \n",
" x_true1 = np.random.uniform(0.5, 1, (100,1))\n",
" x_false1 = np.random.uniform(0, 0.49, (100, 1))\n",
" x_true2 = np.random.uniform(0.5, 1, (100,1))\n",
" x_false2 = np.random.uniform(0, 0.49, (100, 1))\n",
" x_true3 = np.random.uniform(0.5, 1, (100,1))\n",
" x_false3 = np.random.uniform(0, 0.49, (100, 1))\n",
" x_true4 = np.random.uniform(0.5, 1, (100,1))\n",
" x_false4 = np.random.uniform(0, 0.49, (100, 1))\n",
"\n",
" X1 = np.hstack((x_true1, x_false1))\n",
" Y1 = np.ones((100, 1))\n",
" assert X1.shape==(100,2), X1.shape\n",
"\n",
" X2 = np.hstack((x_false2, x_true2))\n",
" Y2 = np.ones((100,1))\n",
"\n",
" X3 = np.hstack((x_false3, x_false4))\n",
" Y3 = np.zeros((100, 1))\n",
"\n",
" X4 = np.hstack((x_true3, x_true4))\n",
" Y4 = np.zeros((100, 1))\n",
" X = np.vstack((X1, X2, X3, X4))\n",
" Y = np.vstack((Y1, Y2, Y3, Y4))\n",
" data = np.hstack((X,Y))\n",
" np.random.shuffle(data)\n",
" X = data[:, :2]\n",
" Y = data[:, -1:]\n",
" X = X.T\n",
" Y = Y.T\n",
" \n",
" return X, Y\n",
"\n",
"\n",
"X, Y = get_data()\n",
"\n",
"y_color = list(np.where(Y==1, 'r', 'b').squeeze());\n",
"plt.scatter(X[0,:], X[1,:], c=y_color, edgecolor='black', s=20)\n",
"plt.gca().set_title('XOR Sample Data', fontsize=16, fontweight='bold');\n",
"plt.gca().set_ylim([-.10,1.1]);\n",
"plt.gca().set_xlim([-.10,1.1]);"
],
"execution_count": 6,
"outputs": [
{
"output_type": "display_data",
"data": {
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D2tqafhu2EBYWhquVFUfeexseP0q9Hu/oSL9N3qz9fg7qRA3uA4fiKlQv1DpqtVoef/k5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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f4e153a3da0>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "Pr8ky3fWq2pb",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"# Define Model"
]
},
{
"metadata": {
"id": "2ZQk_7cYqFi1",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
"def sigmoid(z): return 1 / (1 + np.exp(-z))\n",
"\n",
"class NNclassifier():\n",
" \n",
" def __init__(self, num_hidden=5, input_dim=2):\n",
" \n",
" np.random.seed(2) \n",
" self.W1 = np.random.randn(num_hidden, input_dim) * 0.01\n",
" self.b1 = np.zeros((num_hidden, 1))\n",
" self.W2 = np.random.randn(1, num_hidden) * .01\n",
" self.b2 = np.zeros((1, 1))\n",
" \n",
" # momentum\n",
" self.VdW1 = np.zeros_like(self.W1)\n",
" self.VdW2 = np.zeros_like(self.W2)\n",
" self.Vdb1 = np.zeros_like(self.b1)\n",
" self.Vdb2 = np.zeros_like(self.b2)\n",
" \n",
" def fit(self, X, Y, lr, evaluate=False, B = 0.9):\n",
" \n",
" # Get Params\n",
" m = X.shape[1]\n",
" W1 = self.W1\n",
" b1 = self.b1\n",
" W2 = self.W2\n",
" b2 = self.b2\n",
" \n",
" # Forward Pass\n",
" Z1 = W1.dot(X) + b1\n",
" A1 = np.tanh(Z1)\n",
" Z2 = W2.dot(A1) + b2\n",
" A2 = sigmoid(Z2)\n",
" self.A2 = A2\n",
" assert A2.shape == (1, X.shape[1])\n",
" \n",
" # Cost function\n",
" logprob = Y * np.log(A2) + (1 - Y) * np.log(1 - A2)\n",
" cost = - np.sum(logprob) / m\n",
" cost = np.squeeze(cost)\n",
" self.loss = cost\n",
" assert isinstance(cost, float)\n",
" \n",
" # Evaluated\n",
" if evaluate == True:\n",
" preds = np.where(A2 > 0.5, 1, 0)\n",
" acc = np.sum(preds == Y) / m\n",
" print('Loss:', cost, '\\t| Accuracy:', acc)\n",
" return cost, acc\n",
" \n",
" # Backwards\n",
" # DLoss * DZ2\n",
" dZ2 = A2 - Y\n",
" \n",
" # Affine\n",
" dW2 = dZ2.dot(A1.T) / m\n",
" db2 = np.sum(dZ2, axis=1, keepdims=True) / m\n",
" # Tanh\n",
" dA1 = W2.T.dot(dZ2) \n",
" dZ1 = dA1 * (1 - np.power(A1, 2))\n",
" \n",
" # Affine\n",
" dW1 = dZ1.dot(X.T) / m\n",
" db1 = np.sum(dZ1, axis=1, keepdims=True) / m\n",
" \n",
" # Update Weights\n",
" self.VdW1 = B * self.VdW1 + (1-B) * dW1\n",
" self.VdW2 = B * self.VdW2 + (1-B) * dW2\n",
" self.Vdb1 = B * self.Vdb1 + (1-B) * db1\n",
" self.Vdb2 = B * self.Vdb2 + (1-B) * db2\n",
" \n",
" self.W1 = W1 - lr * self.VdW1\n",
" self.W2 = W2 - lr * self.VdW2\n",
" self.b1 = b1 - lr * self.Vdb1\n",
" self.b2 = b2 - lr * self.Vdb2\n",
" \n",
" return cost\n",
" \n",
" def predict(self, X):\n",
" # Get Params\n",
" m = X.shape[1]\n",
" W1 = self.W1\n",
" b1 = self.b1\n",
" W2 = self.W2\n",
" b2 = self.b2\n",
" \n",
" # Forward Pass\n",
" Z1 = W1.dot(X) + b1\n",
" A1 = np.tanh(Z1)\n",
" Z2 = W2.dot(A1) + b2\n",
" A2 = sigmoid(Z2)\n",
" \n",
" preds = np.where(A2 > 0.5, 1, 0)\n",
" \n",
" return preds"
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "9OdoFbHErAAi",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"# Train Model"
]
},
{
"metadata": {
"id": "oju5Yme1qOBB",
"colab_type": "code",
"outputId": "4c073b89-01d3-4c16-fbba-4012f871f251",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 221
}
},
"cell_type": "code",
"source": [
"model = NNclassifier(num_hidden=5)\n",
"X, Y = get_data()\n",
"\n",
"hist = []\n",
"\n",
"for epoch in range(600):\n",
" bs=50\n",
" iterations = X.shape[1] // bs\n",
" for i in range(iterations):\n",
" \n",
" cost = model.fit(X[:, i*bs:(i*bs+bs)], Y[:, i*bs:(i*bs+bs)], lr=1.2)\n",
" \n",
" hist += [cost]\n",
" \n",
" if epoch % 50 == 0:\n",
" print('Cost after iteration {}: {}'.format(epoch*iterations, cost))\n"
],
"execution_count": 8,
"outputs": [
{
"output_type": "stream",
"text": [
"Cost after iteration 0: 0.6932660951628562\n",
"Cost after iteration 400: 0.6924192365055909\n",
"Cost after iteration 800: 0.6245916775580268\n",
"Cost after iteration 1200: 0.31614775486038266\n",
"Cost after iteration 1600: 0.14359996311755022\n",
"Cost after iteration 2000: 0.11654505081423867\n",
"Cost after iteration 2400: 0.0945311024264741\n",
"Cost after iteration 2800: 0.04057871426651435\n",
"Cost after iteration 3200: 0.03156843948125161\n",
"Cost after iteration 3600: 0.027479489888060066\n",
"Cost after iteration 4000: 0.025075169220414636\n",
"Cost after iteration 4400: 0.023252327475307907\n"
],
"name": "stdout"
}
]
},
{
"metadata": {
"id": "QHuMYVHsrCoA",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"# Plot Decision Boundary"
]
},
{
"metadata": {
"id": "3dmPJforpRGM",
"colab_type": "code",
"outputId": "cf17c2a5-7f97-49a2-c918-d717c41e92ef",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 311
}
},
"cell_type": "code",
"source": [
"\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import sklearn\n",
"import sklearn.datasets\n",
"import sklearn.linear_model\n",
"\n",
"def plot_decision_boundary(model, X, y):\n",
" # Set min and max values and give it some padding\n",
" x_min, x_max = X[0, :].min() - 1, X[0, :].max() + 1\n",
" y_min, y_max = X[1, :].min() - 1, X[1, :].max() + 1\n",
" h = 0.01\n",
" # Generate a grid of points with distance h between them\n",
" xx, yy = np.meshgrid(np.arange(x_min, x_max, h), np.arange(y_min, y_max, h))\n",
" # Predict the function value for the whole grid\n",
" Z = model(np.c_[xx.ravel(), yy.ravel()])\n",
" Z = Z.reshape(xx.shape)\n",
" # Plot the contour and training examples\n",
" plt.contourf(xx, yy, Z, cmap=plt.cm.Spectral)\n",
" plt.ylabel('x2')\n",
" plt.xlabel('x1')\n",
" plt.scatter(X[0, :], X[1, :], c=y, cmap=plt.cm.Spectral, linewidth=1, edgecolor='black')\n",
" plt.gca().set_ylim([0,1])\n",
" plt.gca().set_xlim([0,1])\n",
"acc = np.sum(model.predict(X) == Y) / Y.shape[1]\n",
"print('Accuracy of Model:', acc * 100, '%')\n",
"\n",
"plot_decision_boundary(lambda x: model.predict(x.T), X, Y.squeeze())\n",
"plt.title(\"Logistic Regression\");"
],
"execution_count": 9,
"outputs": [
{
"output_type": "stream",
"text": [
"Accuracy of Model: 100.0 %\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
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yTnQy1iHYSFp8bso9Dm4+JI5CIQicIafwEZUsFJK5IpjDP5pLuCwmoyfdusy2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kIR229V/B7VzDbajvldSJLEzUmFLDQn8J+OWg6EOik0RHOT9RRswxTX2eXu4O7qbUwRVnJENE2S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YQM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\nyMj4IBsHGRkZGRkf/h9NFo61TLRuEAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f4e121dfa58>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "pttha0CJqO_p",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
""
],
"execution_count": 0,
"outputs": []
}
]
}
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