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GradientDescent.ipynb
{
"cells": [
{
"metadata": {},
"cell_type": "markdown",
"source": "# Implementing the Gradient Descent Algorithm\n\nIn this lab, we'll implement the basic functions of the Gradient Descent algorithm to find the boundary in a small dataset. First, we'll start with some functions that will help us plot and visualize the data."
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "import matplotlib.pyplot as plt\nimport numpy as np\nimport pandas as pd\n\n#Some helper functions for plotting and drawing lines\n\ndef plot_points(X, y):\n admitted = X[np.argwhere(y==1)]\n rejected = X[np.argwhere(y==0)]\n plt.scatter([s[0][0] for s in rejected], [s[0][1] for s in rejected], s = 25, color = 'blue', edgecolor = 'k')\n plt.scatter([s[0][0] for s in admitted], [s[0][1] for s in admitted], s = 25, color = 'red', edgecolor = 'k')\n\ndef display(m, b, color='g--'):\n plt.xlim(-0.05,1.05)\n plt.ylim(-0.05,1.05)\n x = np.arange(-10, 10, 0.1)\n plt.plot(x, m*x+b, color)",
"execution_count": 1,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Reading and plotting the data"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "data = pd.read_csv('data.csv', header=None)\nX = np.array(data[[0,1]])\ny = np.array(data[2])\nplot_points(X,y)\nplt.show()",
"execution_count": 2,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 432x288 with 1 Axes>",
"image/png": 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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Implementing the basic functions\nHere is your turn to shine. Implement the following formulas, as explained in the text.\n- Sigmoid activation function\n\n$$\\sigma(x) = \\frac{1}{1+e^{-x}}$$\n\n- Output (prediction) formula\n\n$$\\hat{y} = \\sigma(w_1 x_1 + w_2 x_2 + b)$$\n\n- Error function\n\n$$Error(y, \\hat{y}) = - y \\log(\\hat{y}) - (1-y) \\log(1-\\hat{y})$$\n\n- The function that updates the weights\n\n$$ w_i \\longrightarrow w_i + \\alpha (y - \\hat{y}) x_i$$\n\n$$ b \\longrightarrow b + \\alpha (y - \\hat{y})$$"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# Implement the following function\n# Activation (sigmoid) function\ndef sigmoid(x):\n return 1. / (1 + np.exp(-x))\n\n# Output (prediction) formula\ndef output_formula(features, weights, bias):\n return sigmoid(np.matmul(features, weights) + bias)\n\n# Error (log-loss) formula\ndef error_formula(y, output):\n return -y * np.log(output) - (1-y) * np.log(1-output)\n\n# Gradient descent step\ndef update_weights(x, y, weights, bias, learnrate):\n ypred = output_formula(x, weights, bias)\n error = y - ypred\n weights += learnrate * error * x\n bias += learnrate * (y - ypred)\n return weights, bias",
"execution_count": 9,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Training function\nThis function will help us iterate the gradient descent algorithm through all the data, for a number of epochs. It will also plot the data, and some of the boundary lines obtained as we run the algorithm."
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "np.random.seed(44)\n\nepochs = 100\nlearnrate = 0.01\n\ndef train(features, targets, epochs, learnrate, graph_lines=False):\n \n errors = []\n n_records, n_features = features.shape\n last_loss = None\n weights = np.random.normal(scale=1 / n_features**.5, size=n_features)\n bias = 0\n for e in range(epochs):\n del_w = np.zeros(weights.shape)\n for x, y in zip(features, targets):\n output = output_formula(x, weights, bias)\n error = error_formula(y, output)\n weights, bias = update_weights(x, y, weights, bias, learnrate)\n \n # Printing out the log-loss error on the training set\n out = output_formula(features, weights, bias)\n loss = np.mean(error_formula(targets, out))\n errors.append(loss)\n if e % (epochs / 10) == 0:\n print(\"\\n========== Epoch\", e,\"==========\")\n if last_loss and last_loss < loss:\n print(\"Train loss: \", loss, \" WARNING - Loss Increasing\")\n else:\n print(\"Train loss: \", loss)\n last_loss = loss\n predictions = out > 0.5\n accuracy = np.mean(predictions == targets)\n print(\"Accuracy: \", accuracy)\n if graph_lines and e % (epochs / 100) == 0:\n display(-weights[0]/weights[1], -bias/weights[1])\n \n\n # Plotting the solution boundary\n plt.title(\"Solution boundary\")\n display(-weights[0]/weights[1], -bias/weights[1], 'black')\n\n # Plotting the data\n plot_points(features, targets)\n plt.show()\n\n # Plotting the error\n plt.title(\"Error Plot\")\n plt.xlabel('Number of epochs')\n plt.ylabel('Error')\n plt.plot(errors)\n plt.show()",
"execution_count": 10,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Time to train the algorithm!\nWhen we run the function, we'll obtain the following:\n- 10 updates with the current training loss and accuracy\n- A plot of the data and some of the boundary lines obtained. The final one is in black. Notice how the lines get closer and closer to the best fit, as we go through more epochs.\n- A plot of the error function. Notice how it decreases as we go through more epochs."
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "train(X, y, epochs, learnrate, True)",
"execution_count": 11,
"outputs": [
{
"output_type": "stream",
"text": "\n========== Epoch 0 ==========\nTrain loss: 0.7135845195381634\nAccuracy: 0.4\n\n========== Epoch 10 ==========\nTrain loss: 0.6225835210454962\nAccuracy: 0.59\n\n========== Epoch 20 ==========\nTrain loss: 0.5548744083669508\nAccuracy: 0.74\n\n========== Epoch 30 ==========\nTrain loss: 0.501606141872473\nAccuracy: 0.84\n\n========== Epoch 40 ==========\nTrain loss: 0.4593334641861401\nAccuracy: 0.86\n\n========== Epoch 50 ==========\nTrain loss: 0.42525543433469976\nAccuracy: 0.93\n\n========== Epoch 60 ==========\nTrain loss: 0.3973461571671399\nAccuracy: 0.93\n\n========== Epoch 70 ==========\nTrain loss: 0.3741469765239074\nAccuracy: 0.93\n\n========== Epoch 80 ==========\nTrain loss: 0.35459973368161973\nAccuracy: 0.94\n\n========== Epoch 90 ==========\nTrain loss: 0.3379273658879921\nAccuracy: 0.94\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 432x288 with 1 Axes>",
"image/png": 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\n"
},
"metadata": {
"needs_background": "light"
}
},
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 432x288 with 1 Axes>",
"image/png": 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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "",
"execution_count": null,
"outputs": []
}
],
"metadata": {
"kernelspec": {
"name": "python3",
"display_name": "Python 3",
"language": "python"
},
"language_info": {
"name": "python",
"version": "3.6.8",
"mimetype": "text/x-python",
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"pygments_lexer": "ipython3",
"nbconvert_exporter": "python",
"file_extension": ".py"
},
"gist": {
"id": "",
"data": {
"description": "GradientDescent.ipynb",
"public": false
}
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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