{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Logistic Regression\n", "\n", "\n", "In this notebook implement binary logistic regression from scratch in **`Python`/`Numpy`**. We first generate a two-class dataset. Then derive gradient of the cross-entropy loss. Finally, we implement and test our logistic regression algorithm." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "from util import print_result\n", "\n", "sns.set()\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generate a Sample Dataset\n", "\n", "First of all, let me generate some syntatic dataset. As you know, logistic regression is a binary classification algorithm. So following code block generates a two-class dataset with two features." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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1jevEivnaptMkdmvSxOBImIGhzkDE43HuWd+7rZi9n+PWjRSaZl/7akXjw/cX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\ni4CxA3KuSZtnawtWr5t4IJR7fFNT3qL5sVOXGXzx7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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N = 250\n", "np.random.seed(1024)\n", "\n", "mean_cls_0 = np.array([-2, -2])\n", "cov_cls_0 = np.array([[1.5, 0], [0, 1.5]])\n", "x0 = np.random.multivariate_normal(mean=mean_cls_0, cov=cov_cls_0, size=N)\n", "y0 = np.zeros(N)\n", "\n", "mean_cls_1 = np.array([2, 2])\n", "cov_cls_1 = np.array([[1.5, 0], [0, 1.5]])\n", "x1 = np.random.multivariate_normal(mean=mean_cls_1, cov=cov_cls_1, size=N)\n", "y1 = np.ones(N)\n", "\n", "X_train = np.row_stack((x0, x1))\n", "y_train = np.concatenate((y0, y1))\n", "\n", "fig = plt.figure(figsize=(10, 6))\n", "axes = plt.axes()\n", "axes.scatter(\n", " X_train[:, 0],\n", " X_train[:, 1],\n", " c=y_train,\n", " s=45,\n", " cmap=plt.cm.Spectral,\n", " alpha=0.5,\n", " edgecolors='none')\n", "axes.set_xlabel('first feature')\n", "axes.set_ylabel('second feature')\n", "axes.set_title('Sample Binary Classification Dataset')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Derive Gradient\n", "\n", "In logistic regression, we use the sigmoid function to squashe responses between zero and one. Hence, we can writedown following probability values.\n", "\n", "$$P(t_n = 1|\\mathbf{x_n}, \\mathbf{w}) = \\frac{1}{1 + e^{-\\mathbf{w}^T\\mathbf{x}_n}}$$\n", "$$P(t_n = 0|\\mathbf{x_n}, \\mathbf{w}) = \\frac{e^{-\\mathbf{w}^T\\mathbf{x}_n}}{1 + e^{-\\mathbf{w}^T\\mathbf{x}_n}}$$\n", "\n", "Let $\\mathbf{t} = (t_1, t_2, ..., t_N)$ and $\\mathbf{X} = (\\mathbf{x_1}, \\mathbf{x_2}, ..., \\mathbf{x_N})$ denote full training dataset and data is coming from a i.i.d. distribution, we can write the folloing likelihood.\n", "\n", "\n", "$$P(\\mathbf{t}|\\mathbf{X}, \\mathbf{w}) = \\prod_{n=1}^{N}\\bigg[P(t_n = 1|\\mathbf{x_n}, \\mathbf{w})^{t_n}P(t_n = 0|\\mathbf{x_n}, \\mathbf{w})^{(1-t_n)}\\bigg]$$\n", "\n", "So our objective is find $\\mathbf{w}$ in order to maximize above equation. We can further simplfy our optimization task by taking the $log()$ of our likelihood function. Further, $log()$ will not chage the optimum value of $\\mathbf{w}$. Also, instead of maximuxing above function, we minimize $-P(\\mathbf{t}|\\mathbf{X}, \\mathbf{w})$. So our new objective function is:\n", "\n", "$$-P(\\mathbf{t}|\\mathbf{X}, \\mathbf{w}) = \\sum_{n=1}^{N}-\\bigg[log(P(t_n = 1|\\mathbf{x_n}, \\mathbf{w})^{t_n}) + log(P(t_n = 0|\\mathbf{x_n}, \\mathbf{w})^{(1-t_n)})\\bigg]$$\n", "$$-P(\\mathbf{t}|\\mathbf{X}, \\mathbf{w}) = \\sum_{n=1}^{N}-\\bigg[{t_n}log(P(t_n = 1|\\mathbf{x_n}, \\mathbf{w})) + (1-t_n)log(P(t_n = 0|\\mathbf{x_n}, \\mathbf{w}))\\bigg]$$\n", "\n", "Now let me introduce a new notations:\n", "$$\\sigma_n = \\frac{1}{1 + e^{-\\mathbf{w}^T\\mathbf{x}_n}}$$\n", "$$1 - \\sigma_n = \\frac{e^{-\\mathbf{w}^T\\mathbf{x}_n}}{1 + e^{-\\mathbf{w}^T\\mathbf{x}_n}}$$\n", "\n", "$$-P(\\mathbf{t}|\\mathbf{X}, \\mathbf{w}) = \\sum_{n=1}^{N}-\\bigg[{t_n}log(\\sigma_n) + (1-t_n)log(1-\\sigma_n)\\bigg]$$\n", "\n", "It is easy to show that $\\frac{\\partial \\sigma_n}{\\partial \\mathbf{w}} = \\sigma_n(1 -\\sigma_n)\\mathbf{w}$ and $\\frac{\\partial (1- \\sigma_n)}{\\partial \\mathbf{w}} = -\\frac{\\partial \\sigma_n}{\\partial \\mathbf{w}}$. By substituting these two equations and taking the derivatives we can show that:\n", "\n", "$$\\nabla_{\\mathbf w}(-P(\\mathbf{t}|\\mathbf{X}, \\mathbf{w})) = \\sum_{n=1}^{N}(\\sigma_n - t_n)\\mathbf{x_n}$$\n", "\n", "Now we have everything we need to implement our own Logistic Regression classifier." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Implementation" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "class LogisticRegression:\n", " def __init__(self, learning_rate=1e-3, max_iter=250):\n", " self.learning_rate = learning_rate\n", " self.max_iter = max_iter\n", "\n", " self.weights = None\n", "\n", " def fit(self, X_train, y_train):\n", " X_train = LogisticRegression._fit_intercept(X_train)\n", " self.weights = np.random.rand(X_train.shape[1])\n", " for iter in range(self.max_iter):\n", " self.weights = self.weights - self.learning_rate * LogisticRegression._grad(\n", " X_train, y_train, self.weights)\n", " cost = self._cost(X_train, y_train, self.weights)\n", " print_result(iter, cost)\n", "\n", " def predict(self, X_test, cutoff=0.5):\n", " X_test = LogisticRegression._fit_intercept(X_test)\n", " prob = LogisticRegression.sigmoid(np.dot(X_test, self.weights))\n", " return prob, prob > cutoff\n", "\n", " @staticmethod\n", " def sigmoid(x):\n", " return 1 / (1 + np.exp(-1 * x))\n", "\n", " @staticmethod\n", " def _cost(X_train, y_train, weights):\n", " cost = 0.0\n", " for n in range(len(y_train)):\n", " pos = (y_train[n] * np.log(\n", " LogisticRegression.sigmoid(np.inner(X_train[n, :], weights))))\n", " neg = ((1 - y_train[n]) * np.log(1 - LogisticRegression.sigmoid(\n", " np.inner(X_train[n, :], weights))))\n", " cct_cost = -1 * (pos + neg)\n", " cost += cct_cost / X_train.shape[0]\n", " return cost\n", "\n", " @staticmethod\n", " def _grad(X_train, y_train, weights):\n", " grad = np.zeros(X_train.shape[1])\n", " for n in range(len(y_train)):\n", " grad += (LogisticRegression.sigmoid(\n", " np.inner(X_train[n, :], weights)) - y_train[n]) * X_train[n, :]\n", " return grad\n", "\n", " @staticmethod\n", " def _fit_intercept(X_train):\n", " \"\"\"Add the intercepting term to the training dataset\n", "\n", " This simple helper method adds the intercepting term to the \n", " training dataset.\n", "\n", " Arguments:\n", " X_train: training dataset\n", "\n", " Returns: training dataset with the interceptor\n", " \"\"\"\n", " return np.column_stack((np.ones(X_train.shape[0]), X_train))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " Now the Logistic Regression algorithm is ready. Let's train it using our synthetic 2-D dataset and plot the result." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "iteration: 0\t\tcost: 1.7632e-01\n", "iteration: 1\t\tcost: 1.4222e-01\n", "iteration: 2\t\tcost: 1.2186e-01\n", "iteration: 3\t\tcost: 1.0802e-01\n", "iteration: 4\t\tcost: 9.7859e-02\n", "iteration: 5\t\tcost: 9.0015e-02\n", "iteration: 6\t\tcost: 8.3737e-02\n", "iteration: 7\t\tcost: 7.8576e-02\n", "iteration: 8\t\tcost: 7.4243e-02\n", "iteration: 9\t\tcost: 7.0543e-02\n", "iteration: 10\t\tcost: 6.7340e-02\n", "iteration: 20\t\tcost: 4.9149e-02\n", "iteration: 30\t\tcost: 4.0958e-02\n", "iteration: 40\t\tcost: 3.6193e-02\n", "iteration: 50\t\tcost: 3.3043e-02\n", "iteration: 60\t\tcost: 3.0791e-02\n", "iteration: 70\t\tcost: 2.9092e-02\n", "iteration: 80\t\tcost: 2.7760e-02\n", "iteration: 90\t\tcost: 2.6685e-02\n", "iteration: 100\t\tcost: 2.5796e-02\n", "iteration: 200\t\tcost: 2.1366e-02\n", "iteration: 300\t\tcost: 1.9642e-02\n", "iteration: 400\t\tcost: 1.8699e-02\n" ] }, { "data": { "image/png": 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NehKUaZrC3bfHmLzy6i24F57VCcP+4EmWIZ3WsO3deQeVsZe3/VZVmakbZWaf9KayZbM6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\nZMrpgSnIqWIK3+n0HVd1hbW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WFpvUtixs00dWpO5uy+Z6h7GXdGRz3YDNNZPRiTxL8w0U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8jqQTiN2I3Pa3sdoQOxSPVdn8Z6CyNvPNX7r6MwFDtDngt802bjj97HXFwHQM2nGf/eWyTOjT2V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\nfmn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BEBuB7/e039aSMZxChcj0jsueU22w/IdiFiZ2fBJjbAC3ZqIYOloy1p6R\nUaPhDkGpZ5M9Ww63TQT0VAynWEWSZCRNxqnUKb5zg/DEEAv/558TOzLO6C+/gKxrRA+NYv3rv+qx\nv1HKV+c7qjt9+vTp8/NG6uQ4eipKfaVAZWFTWDUHAaVb60jLRQa/cLij8wFa8Q372F87tU9uSrCb\n8FCSyV84z+Y7c5ibFRRdJTyU6LCrdutNCh8sYRVqEAgR5zsegRfQLFTxbLdLtIXSUVLHxijdXsOp\nmrimjZ6IkDw2iqKr1BbzOPUmWtSgsVHCa7lzqmEdwsJ8YXveJ/ADXNNG0dV2G58ky8KSuiX8SrfW\nqN7pzBcCiIyI49AiIYZfOE59pYDbsNASYaKj6a7Pvs+jz8J3NZ7E50lqffOCA9IXOw8ISZKIHR4j\ndvj+nbYi08OM/NILbP34KnapihaPkH72FNUP7+LWd3INQgNJrM1Sx426rKokzuxfRq/Nr1KbXRIV\nnqqJumugMzI1TPz4xL7PPQjm0mZ7X/dSvX63Q+zsNl0IPB/8AElT0JKxnkIHoHZ7uWtuBxAubLKE\nGgu3/9smee4IlasLHXaokioTGR8gOtO9MhjKCqvS0EgGu1DBKdfxmhZOuU5kaqgttGpzK+TfuMLQ\nq18gfnIKLRnFLuz0fatRg8jUMN4+n0efPn36fJ4JfB9zs4JdNVs5OimcikloTw6PXWlQvZvrqtRI\nkoQWC/c0qNHi+5skfFziU/9/e/cZHVl6Jvb9f1PlCKCQY6fbYUJzevIMZ0gOuVwmrchdabUKa0k2\njyzLCj7SB1nnWF7v8VHcI62PJR/J9jnWyqtML2V5V9SQml1yAjnk5J6e6a4O6IScCpXjvdcfLlCN\nQhW6G2gABVQ/vy8zdSu9F2jUW8993+d5Em4z0ltLpC5N1Qv+1M/HccjeXGhcjbFsigtp9LusjITG\neigspqnmSngifjSvzuK71+g5O1EvmV1OF8jdXsJxHKxiFcex0X0ebGr16mmrl2ewylUURSE41EXM\nHGyaKyNH+qjly/XmpygKoZEejJCP7K0lNK+OPxEhMtFcUU8cXlK8YHsk2GmzyKkxwidHsdfKUSqK\nQjWVpTh7p+xy8MgAAJ61K0je7ii9r5xrKHW80eIPP2DlnUt3DmgKetC/9sW9n8jpsYbtZQ/Cm4ih\nGlpDNTi7WqOazpH64AqT/+Q/EHviOPGnThI7e4zUOxdJf3KDynIGHAcjGmTiv/r6tt9XC3jrDdg2\ni58zMSIhbv2L72MVy+hBP77hHnpeOtuwFa1+Dr0xQseGyV2dInJmnMpKluylWwTH+4k/eRJFvzO5\nZD69Se8r59BDARIvnyV3dZparoi6XiRCUQi0qdeTEEK0i12zWHxvksqGHEf9emOgsFFpKdtyW1rk\nSB/L52+ysaeA5jWaGmber3K6QObqHOXVPJrfQ3i0p+m1Av0x0pdnmnZZOJaDHvRRXm3M23RsB0XX\nttyKV1rMUFnNYwS9VAsVilPLWOUa+ZkUQ58/Q3ikx92mXqm5vXDW5jJFdYsHlDN5creW3X1uuEFX\nbmp5rf9Q4wVVVVPpOTtONVeiVixjhPxkbyww//adfny6z0Pi3BH0u7S1EIfP5uIFgBQw2IIEOweA\noigNiYjxp06STd6mlnevbimaRvjECCf/+BcoBQN4olsnFlZSWVLvJhuO6QEfdqlC4vNPoAd39+qY\nEQnS9cKjLP3wQ8C9sldeWEU1dALj/VSzeRZ/9CF2uUrPZx/DiLkls1WPjurR8fbFyXxyna7nzrRc\nVg8dG2bxtfebVne8iRjhM+Msv/lxw/HA+ACFG3NrgcsEqtcgfGKEyOmxu5Z8HvjG86TeuUT20k28\niRieniiOZTVdRXM2TNyJz3+GykoWPXIn6AxODBDapVUzIYQ4LLI3FxsCHYBaoUwtX3abam6y8SLS\nRoG+KOoTE2RvLWGVqnhjgabk+/tVLZRZfG+y3jeoli+RujgFjkNo5M6VcM2jEzs1ROridD3AUFSV\n2PFeMtcX8HWHKc6vYls2iqaiB7xEjzRe1Kpki+SuzpBfzlNe6yGE41CcS62/JLVCmZULt9yVmoE4\npeVcw4VCx3YoLWapZcv1cWyUn14henygaQUKqJfzLi5mmnKGaqUKqeTMtosqiINvvXjBQjjNb74V\nZbJwhSOB4+0e1oEjwc4BZESCjP3ql0m9d5nS7BL567PYls2t775J1eOh94vnCE4MtHxucXqx6eoU\nuI1OS3PLhI42d51+UMf+wjcxgn6Wf3yB8kIKb2+U6NnjDQHc6vuXCZkjpD+5gZUvuYGE7kXze6lm\nC+SvThM+2XxFQg/66P/ac8x9723sag2rUEYP+hj4xvNugYOemNstWjjIAAAgAElEQVTnqFYjeHSI\n/PVZlt/+pP58q2BRTWXv2dtG1TW6nztD93NuhbrMxZvM/u6Pmx63MZAJjPYx9me+QubjSaxCCf9o\nH2FzZMsteUII0am2KuW8VVCzuafORr7uML7u8Jb336/81HJDg9R12RuLDcEOQGjIrfZWXEiDqhDo\njaIaOrnplNvcVFNRbMdtTWBoBAbulM2uZAosvHsNXVWoVi0qq3l3JclnNMQsiqqgqAq5W0t440G3\nl06pgrOe86rgruykmyuAAmvFFNzHbaW+nW2T0lLWbYWxuZCB2JLjOJSWspSWMii6RnAwjrHLF4x3\nw/VX3e9afy3/Nr9x7Fmu5y9J8YJNJNg5YOyahbKWi5J4+XFm/+PbKLqGsrbqUVnNMvPdNxj/L7/q\nNhbdRA+13toGoG+x7e1BqYbOxLe/ztif+QoLP3iX9IXJpsdYlSorP/mU/NU7FeuqqRyZbIHo48e2\nzPsBCJsjGNEAN3/7B1jlCqrPYO733qb/a88SOj5cL9JQXkqz8Np7Tc/P35yjOLuMf6Cb/I05Mp9c\nx67UCB0fInJ6vGVwEj45SuHGXMO5eBMxEp872/A4Tyz0wE1XhRDisNsq4d3fE8HXEyF7awnHslB1\njehYL77uMKmLUxQXMyiaSnAgTni8t7EZ6Q44jkN5JYdVrjZtP1tXKzVWKbXKVXccqkpwqKvhXLyx\nAOmK22Rb8egoqoIR8lGYW63nwWSuL7h5qKr7PCPsp7yap5IpNryWEfahqKrb98YBI+hFG+2hli/j\nOA5GwItqaHijAUorzcGjrzt0z5/PVhfbFFW5a5AkmqU+nSI/c6cRfPbmIt2PjjYUsThI0sFH+PZs\nY/GC04H7zyPvZBLsHBCV5QwLv/8ehZvzKJpG5Mw4Xc+dIXvpZtNjbcsi8+nN+irERoGxPryJWL3C\nWP34SO8DN7QsLaQo3lpAD/kJHhtqmtxUXSMw1tcy2DGiIYoziyi61rAVzKnZlOdXGqqtbeY4DrO/\n9zY4Dp54GKtUYfX8NbKXb3P8r/4yvoT7wVNNZd2Jbj7lnr9tY3RF8A/2UF3JUppZZuH37wRDuatT\n5K/OMPiHX2x6T0VR6P/KM8TPmRRnljCiQQLj/ax+cIXVD65gFcoERnvpefExPN3NeUBCCPEwCQ13\nt1zdCQ53ExruJjyewCpVCXcHKRZrzP/0MtXcnYtc6Wtz1EpVuk7vfBuwVa6y+MF1qmutFSqrBWzL\nalol8kTvFLTJTS83bF9Tkxrdj4/XSz/XCmVCoz3UihVwHPSAB0VVKS6k68FONdt4sU7VVfx9UfJT\nK27rA0PDGwng7XZf0xMLrm07c4sxrFdfA0BRiJ0cIn1lhuLinUqqqkdvytdpJTAQJ3d7mY05T+Dm\nJcmug/tXTuUbAh3ArSaYnMGfiD5wUL6Xzr5qw5fzvHPe4WpaY9CQZubyL/8AsKs1bv/b3yd/Yw7H\ncbBrNVY/usr8935aL0G9mbXWW2YzRVEY/qXPETZHUVQVVdOInJlg8Beav9Bvx/z33+Hmb/0nFv7g\nfWb+v7e48X/+HpVU88QWNkea+tgoikLPZx+jliu62+82fUb4hxJ4e6JNr2UVypTmVyjcmKuXzy4v\nrLL6/hUKN+bIXrrF1X/wb1n9yG2c6u2NUbw5T/7aDLVMgVquRPHWAtmLN9HjIZbfPN/0HtkrtylO\nLW553t7eGLGzxwhODLDy009ZeO09KisZrFKZ7OXb3P7Xr2EVdrckqhBCHDb+3iixE4OohnsNVdU1\nIkf66sUAVF3DCPlQdY3iYqYh0FlXmFmpl2LezKrUyM+mKMynt5wXV5Mz9UAH3BWWWqFCNX/nM1pR\nVaLH3G3gtVKlIdABd3fFyoVb9a1liuJuPTOCXoyQ707AsCFvZnNOUiVTpDifxgj70X0eVEPDEw2g\nKIq7snXMLczQ/ego2oYGqYqm0nV6GCPopfvxcXo+c4TIRC/xk0MMPH/SbYR6D95ogPipxouRvp7I\nfQVK4o5SKtfyuFWuutsaD7izr9r8lRfSlEpzTBYnmSw2X4R+mMjKzgGQTd6i1qLUZuHWPEYkSDWT\nb7ovOLF1czU95GfwD72AY6/16nnAqzm5a9P1gGJdNZtn4bX3GP6lzzUcVzSN4T/6edLnJyncmEUL\n+Ig+fhT/YA+pdy7h1Cy8iRjFqSUUTSEwPkDvF59seA3Htpn63k+5+frHbsWafInKahZfXxf5yZnG\nicmyWHztfcLHR1B0ffPFLABUr0FpanHLBqvFmaV79h1ybLup8ANArVAi/cl1up6S/bFCiIdbeCxB\naLibWrmK5jVQt8gPqbXodwbuKv56X5mN8tMrpC5N1+c01aPTc3YCbzTQ8NziQmO+iqIpBAe73GI4\n8SC6z6iXZQY3j8Wu1qjmSm7ltYAH3e/BKlepZAp4Y0ECA3EqLZpw6wEPC+9cdYM2BaqFCkbUj1Wp\nUVrKAAq+riCqoVPJFLEqNWInBgkOdbk9dXCLCgy8cJLSSg7HsvB2hdDWgkVFUfD3hPH3bD93KTTc\nTaA/RjVbRPUaGFKFbdu2Loih1HseHXT572j87a+s4tgOf+N8/KEuXiDBzgHQKtAB98O765lTLP3o\no4Yv6tEzEwTG3GCnspLBsZ2WKyO7tWS9Mc9mo8KNOexqrX4lb51q6MTPnSB+7kTD8a7nH+Hi//TP\nqGULqGsfJJWlNJsLy6TeTVJ451L96p3q81CcWsIu1xqv6KkKRjSEbVnkb86hh/wExvvRgl7Ka0ma\nnu4Ivr44VqmKoqr1yXIjIxK858/ALlVbNiQFd/uc2B25a9Os/PQi1VQWb2+M7ucfuWdxCSHEwaFo\n6j2/XHsirfNHFU3D2LRKUitVWFmroLbOrtRYuXCL/ufNxspkitJUxUzRFAL9Ufy9MTKT8yy8cxU9\n6CNypNetoHZ7ub6KU17N44n48Sci9W1KoZEeqvkS+ekU4ICi4I0GKMyusvHqmqoqaD4DO1VAD3jx\nxIL1Ij3rfYZCI90NhXvAzaXZKqBxLBvHcXbUAFTVNbzxrSu3rrMtm/z0CqXlLJpHJzjUhTd27zmx\n0wX6YqSvzjX063OPR5t+hwfZ3OsBCvnKQ1+8QIKdAyAw0rrZlx7wEXnkCKHjI2Q/vUHIq1GNRQiM\n9lFZyTD7uz+hNO/uKfX2ROn/2nMPnJezrji7TPbTGzi2U99Ctpmiqg37Vq1imfT5a5TmU3jiYaJn\njzX0AnLKFYJHByjNrmCXq+iRAL7+LlbeuUTsiRP14Cz98SQbP0oUTSV0dIjC7fkNBxWCEwP1oEnz\nefB0hVF0FW9vHO+mn0NgtJdarkDmk+sNxz3xMKHj965Qp/o9eGJhKqstkkYHdtb/QTTKTc4w8903\n6tUEazfmKN5eZORPfmnX/l0LIdrP1xXC1x1uyvGJTPQ2fbEvLmZalmGuFcpUs8V64KQoCoH+WHOe\nBaD5PSx9eL3+OpV0nqUPrrfcDlfJFAn0Re+8rqrQdXqEyEQftYJbRns1OYNj225VUU1bK4aQxy6W\n0cIBFE1B9+3sC7FVrrJ6eYbUxWmq+RJGyEd4LEF4vJfi3CrlVB7VqxMa6SY09GBzj2PbLL0/SXn1\nzu6R/EzKTcLvP5hJ+PtFNTQS546wemma8moeRVUJ9MeImYdzO+Dm4gUPW8Ajwc4B4B9KEDkz0fBF\nXFEUEp87i6prqLpG/KmTJBJhFhfdJPzp33m9IWemvJRm5ndeZ+LbX3/ghqGp9y43JPLXckUqy5mm\nIgLhU3eak9byJW79ix9QTd/Z57r64VVGfuWV+qpTaT6FHvQTOtYYXNRyRWq5Yn2FxW6x3UwL+Qib\nIxRnllF0DV9/V32vsxEJEhjrc/siPH6M1PuXG57rH0oQGOvDP5xAD/rJXJjErtYIHRui5+Wz9/Xz\nWs87mv3dHzeU9vb1dbUsmS22L/XTi01l023LIvVukoGvPtumUQkh9kLP4+PkppYpLmVQNZXAQBeB\nvhY7FFr0lNlwZ8PN6IkBasUK5bV8C0VRiBzpc6uybfpssSoW5ZUsgb4YxcW0W9YZd/uSv6/x4ko5\nXcAqVvBEA+g+D/npFfLTK9iWjWM72JUqqtdAsR3UgJfCbIrAYFdDwOPdsNKzFce2WXxvkvTkfD2n\nySrnsCo1Vi7cJjjUhaIqWJUqqU+ncGo24bGdr3wXFzINgc7aKEhfmcXfF737z/4h4An76X3qmNsL\nSVW23JZ5mNwpXnARRVVwVA9H/EfaPaw9J8HOAdH/lWcIHx8md3Ua1WsQOTOOr691H4Li1GLL4gDV\nbIH8jbkte+mUF1bJX59B9RiEzVG0FlsNrFKFpdc/ajimh/xYhRLYDqwv7R8dIvGFJ+qPSb2bbAh0\n3Ncqs/zjCwz+oRcA8HS1rlqm+bxoAZ/7RddxCB0ZpHp1asO4U+SuzhAc68M/1EPuyjS1gBfN58HX\n10X/V5+trwolvvAERjxM5pMbOLUaoWPDdD1zyk0y1TUSLz9O4uXHW47jXsInR9FDflY/uoqVLxEY\n6yN69njTNj6xM61WzUC2CQpxGJVX8xTm0yiAvz/WkF8D7op9eCxxzy/r/t5ofSVlIyPkxxP2NxzT\nDJ3eJ49SyRaxSlU80QCaR2fux835loqmYFct9ICH0GhibaszaF4DT9jN6bGrFksf3agHT6Dgibhl\npe21VaFaoYxdraErCnrcDWi8XSEq6QK6zw3edL+X+OmRe/7MigsZyukC1U2tGEpLWVRDp5orNVRu\nW+8XtNPKYFv186mVKljlKvqG4gkPs8OSo3O/zr5q83L+bULHNX6t9tRDkcsj39IOCEVRGnrG3E2r\nlY/6feXW9y29cb6h2ebijz5k6FsvERhtXK0pzS5j15qr4Xh74/R+8Ry+3jha0I8n1rgXuDC1QGU5\nQ3U1h2JoeHvjaD5PQ6Wz8KkxVn76aVPBhdhnjrH85nnS5yexK1W8/V14fB5Ym0Tyk7MYkQDegW4U\nVSH62BEcy2b0T/0c/v7GZXxFUYg/cYL4E435QrvFP5y4ZzEDsTO+vi5yueb8MG+fbGET4jDJTM6T\nvjZXv529tUjsxOCOViE0j073o6OsfDpVz5/QA166H9t6Rd0T9sOGQMgTDTQFEKqm4u91gxFFAd3v\nrrqo+p2GoemrsxsCHQCH1cszaD4DRVPdnJq1IMyu1vDFQ9jcWcWJHh9ANXR8XffujwNu4OTYdlOh\nHceycTS7HmCtqxbKrHxyy93apmsEh7oIjfbc94rMVlvtVF2rF0oQnSkdfIT0DPza4Dv8mtX5AY/8\naz6EAiO9aB6jqbqYqmkExweaHl9aSDUEOuB+MM/9p5+52942fDBqd+kObERDKLrGwn9+l+LtRfSw\nn/g5k+jZY+Qu3yZ76dad95xeInRyFN+GYETzGoz8yissv3WBws05NL+X6NljlGZXSH987c5zZ5fx\nJCL0/9zTZJK3sHIljFiooWS1oqlY2SJsXZRuS+v7rPdDQxPTo4NEzozv23sfNt3PP0Lh5nxDsK0H\nfFLpTohDpFaqkJ6cbzqevjrnBhHB7a8W+HujDHSH3S/1moonFtjWFqvweC/FxUxDsrlq6PQ+fZzc\nzUUKC2lwHIyQj/jJ4XolrsJ8uum1HMvGKtUIDXVRSRewqxZ2tYYR9KF5dXfLE+CNhwgObO9CjREJ\noBo6qq7Wt9W5Y9VQNLVhpcVxHEpLWRRNQVGUeq6PVared15JYDBO9kZzpdLQSDdKB2zZEvc2PXOq\noXiBoritQ8YDPfd45uEiwc4hpHoMen/uKea+93Y9wVJRFHq/eK7l1rT85EzL16mmc1SW0ngTdxIR\nfb1xAsO9FKYWGh7riYfxdIW59Vuv1j8YK6ks8//5XfexttNQCcexHQrXZxn9E19qeB0jEqT/K8/U\nb1vFMguvvVffwqaoKtXVPIvXpjFuLeEf7UX1GS07PyvbuPK0+tFVFv7ze2Qv3kTx6EROj9Pz2cfw\n9kRZ+elFKssZvL0xup49veX2we3anPuUuzpF7uo0Q996aVdev9P4+rsY/ZNfIvXeZbcaW1+c+LkT\nGNF7VxQSQhwM5VS+ZUEBx7aprOYh3roS272omrqjMswARtBL3zPHyd1acpP+gz5Coz3ofg/ex8aI\nVWs4NbteEvpu9IAXq1xDNTR8PWGMiJ/89EpDDxxV1wgOxrEte1t5Hr7uEL7uELV8aS0Ac4/7+6Ko\nmlZffQKo5SsYIW9T0JebWiZypO++tl5phk7iySOkr8xRWsmiGTrBtQaw4uGxsXgB5HnnfIBrhQJH\nA52TjyzBziEVOTWGfzhB7tItHCB0fLhpa9k61bN1UqTaImFy8BdeZP6198hduQ22Q2B8gL4vnSN9\nfrJlr5qlH32Ety9O+OQoxVvz1PIlNJ/HLQywqdKcXa1RTeXQw340v5dqOk/uyhTlhVUc20bRdaxi\nCa/fi2XoKD6D3JUpwuZow1iNaIjAaOsqdk3je+M8899/h/SFyfrkUU3nKc4ug2Xj6XZziSqrWfKT\ns4z8iS8+cPUvu1Jl+a2Pm47nrk1TuDXftH1QuLyJGP0//3S7hyHEoVbNl8lcm6OcyqN5dUKjCYKD\n+7MddOv+JNSrZ7aD7vdsueKhGTq0mCYDfVFyU8sNxzxRf0NbB82jEz3Wj687hAZQrFIrVlh8fxJF\nUwkOxImZg/fVCkJRFHrOTuDviZCbWqaSLeKNBYke7ccT9ZO7vUx5xf2d2r0OpQ19hayy+76KqlLJ\nFfHdR9lpACPoo+fs+H09VnS2s6+6F8+/+eUUf+M8TBYnO6Z4gQQ7B1RxZsldbUjE8PW3XmkwwgHi\n97HFJ2yOsvT6R0314oPj/S17zGgBL4PfeB67ZoHj1BPwNxcgWGfXLBzbxtPlrv7gAIq71Uz13rlS\nlnrnEss/+QSrXEHVNKJnj1HLu5Xe1leoilOLOJaFZySBHgmiKArBo0NYhVI92PH1xun/2nP3NXlY\n5Sqpd5NuYLPhYqOVL5G7fBvN66kHO+651Ei9c4mBrz13z9e+m8pKFqtcaXlfaXZZgh0hxJ6wylUW\n3r2KXXE/761KlZVPbuFYFqGRvd+a4u0KYQR9TTkynkjg0PVviR4foFooU165U6AgPN5H7Hg/xYUM\nlWwRI+DF3x9D1VQMHK6/dqGex+NYthssqSrxTYGWVa1hFSvoAW9DuW31LoUbokf74aj7/8XFTD3Y\nKS1n3YpzuKWylz64QeLckaaiEELcj+uvGm4uT+2pjgl4JNg5YOxqjZl//wb5G3eSO0NHhxj8hRd2\n/Jp60MfQN19i7tWf1QOW4Fg//fco57u534FvoIfMxZtNj4ucGcculO+s+qytqkdOT9RLbeauTbPw\nww/qz7Eti+WfXKCylCEw3k/uyhQ44FRrOI6D5jEwosH6+IOPTND7ebf628bg5F5q6Tx2rdaycEM1\nU0CJNu+PqyxnyF2bJpe8DapK5PTYtoMTPezfsompfh9NTIUQYify0yv1QGejzPUFgsPde15OWFEU\nej4zQerSNKUlt5KiPxEmfurexXcOGlXX6D13lEqmQK2wVnp6batboD/W1IsmO7Xc8jM/P71C7Hi/\nOyc4DunLs+TWHqtoGpHxBJEj25tjfD1hvLEQ+bmVeqADbq6QY1mkLk7R/+zeFOoRnW965tSdgKcD\nihdIsHPArPz0YkOgA26gkHrvMr1f2/n2nsBYHxPf/jqVpTSqR99RHkTkkQnS569SXrqzdK5oKn1f\nfBLVa7Dw2vuU5pZRdZ3IIxMkPv+Z+uPS5yebXs+uWpTmlok9cQLN76W8kMIqlHCAwHCiYVL29kS3\nFeSsM2JBN3CKBKllG8tsemIh9HDzla/S3ArTv/P6nbF/fI3ES4/T9czp+35fPegncnrc3TrX8J7h\n+6q4J4QQO1EtlFset8pVHMtG0e+dy1HNlagVyhghH3qLPNB70f0eEp+ZcHcH0Hzh7CCrZApkbyxS\nzZcxwj4i4714IoF6k9G7scrNQSa4RXEc26G0kmHxvUlyt5fRfAbeeBDNA+lrc+gB77YaeSqKQs8T\nE9R+UqG8nEfRFIywHyPo/r6q2SK1YuW+8pCEaKWTihdIsHPA5K7cbnk8m7wNDxDsgPvhuLEYwXa5\n1dS+SPqjqxRuL2KE/UQ/c7ye3zL2p34Oq1hGMfSmya1lo1C/B0V1H6eH/OghP0Y8TPbiTbyxENX6\n47zEdlhKWvUYxJ8+RTVXpLKcxiq5W8v0sJ/QyTE2b4RzLBu7UkXzN07wy29dIPro0ZYFILbS93NP\nogd9pC9cx65U3SamLz1+qCZ+IcTh4gn7Kcymmo7rQd89P3scy2b541sUF9cvaCmEhruInRza0YrQ\nYfusq2QKLLx7rb6tuporUlzI0Pf0sYYCBFvxJ8LQohKdJxqgvJJj6aOb5GdWsGsWds6iVigTGu5G\nNTTyMyvbCnbA3fIWGurGKrbaMq1IRTXxwNaLFwR/yQJW+c23ooeyeIEEOxtUljPkr8+ieg1CJ0bu\n2e14L2yVh7LTpmG7TfN56HrmNF3PbHG/v3UwEDoySOFW4ySgqCo9L5+llsm51dhwq74NfuMFukZ6\nWLm95PbciYVY/NFHaB6dyKNH8A9u76pC93NnMKJBAmN95K/PuomqT56k68mT1PJFVn52icpyGm9v\nHD3sZ+XtT5tew7YsirNLWzZsbUXRNHpeepyel3bWxFQIIbYrONRFbmqZWsMKj0L06L23SWWuL2wI\ndAAcclPLeCIBgkO7U6XyIMtMLtQDnXWOZZG5sUD3I/f+chfsi+HriVBaytSPqbpG7MQgq8kZwMGx\n7ySPOrZDOV3A3xNuKDW9HYH+GJnJ+abtc/7eyF2LRQixHfnvuBcu/tYhLV4gfwlrlt76mOUfX6jf\n1n74IUO/+NK2v1g/qPCpMUoLzVflIqfH93Ucuy169phbiez2nZLWnniYkT/2CrV8kcyF69jlKsGj\nQ4RODNPbGyGymGX6u2+wtKGqWfrjSfp+/mmij2zvjyxyerzlz1AP+Rn8xvP12/kbc/Vgx65ZFG7O\nUVl0ezD4Bnvw9XehB/1NryOEEAeBqmv0PnWM3K0lyqkcmtcgNNKN9z6qcxXmV1sfn1t9KIKdaq60\nreObKapCz+PjlJYylFJ5NI9OcDCO5jWo5t3gUw94qaTvbKleLxzkT2x/mza4Wwa7HxsldXEaq1wF\nFHw9YeKnZbu02H2HtXiBBDusNd3cEOgAWKUy8//pZ4z/2a/u61jiT5qUl9JkP72B4zgoikL00SNE\nzx7b13HsNtXQGf7lL5C/Pkt5bgUjHiZ8YhhF09BD/pa9bfI35shdnWo45jgOSz/6iMipsYbmnOWl\nNJkLk1iFMoHxfsInR++rWttmgbE+vIkY5cVVcsnbVFfdgg5GNEhpZompf/dDxv6Ln9/zJF8hxN4w\nTfNzwGvAX04mk/+ozcPZE+vlkLetuT3O2uEt7ugwetBLregGJValRnklR61QxhMN4u8JEznSt+W8\nYpWrFAolaij4e6P4e6MN93vCPsqrebzxIFapUs/v0TwG3liI0OjOL6z6E1F83RGq+RKqrkmejthT\nm4sXoGioTuRA5/JIsAPkr063PF5eTlNZyeDp2tkVl51QVJWBrz5L9/OPUFnJ4O2JtiwPfVhYpQpW\nvoQeDaLqGqEjg4SO3F9359LMUsvjtUKJynIWb28Mx3FY+emnzH//XbS1D/j0J9fJXrzJ4Lde2nZQ\noigKw7/0Oab//Rss/+QTFFXB0xMlOD4AQHlxlcLNufptIcThYZpmGPi7wPfaPZaDyN8XJXtjoel4\noG/nuZ6HSWSil/JyFtuyKMymsGs2iqpghHxkri9gV62WVeVWr8ySu7mIrqtUqxb+3hjdj4w05MxE\njvSx+MF1VE0lONTlbjN0FHqfPkpwsOuBL6ApqoInLLsOxP5YL17Q9S2ThbDKb75VPtC5PBLsAIqx\n9Y/hbvdtZFdrZD65QWlmCT0SJPr4UYwWlb7ulycW2rJJ6GHg2DaLP/yQ9IdXsS0Lze+l58XHiG1j\nhapVpTRwA0I95Kc0v8LMf3iLhdfexy5V0PxewuYIWtBHbnKG/OTMtnJs6u8b8tPzwqNrwZZSL6W9\nrpYptHyeEOLA+wfA3we+3u6BHESRiV6q2SKl5Wz9WGAgTnCw87ewAXhjQRJPHmXx/UlQFIyg162Y\n5nW/B+RnUkSPDaAad3YVFOZWmwLE4sIq6UkPseN3Lor5usP0PnmU3K0lasUK4VG3l85+rsJY5Sp2\n1UIPeA9MHrA4vNLBR0i/6v7/X/mlNL/5Flwr3DqQAY8EO0D45CjLb5zHtqyG48Hx/vsKWOxKldv/\n+vcpza/Uj62+f5nhX/58y+1ZD4OVn10k9V6yftsqlpn/wTsYsRDB8fvbXhE2R1h+62Oqm0pGR06P\no3p1Zv75G5SWVrHXKqxZxTKZizeJnzsBikLx9sKOgh0AX18Xqq43/ZsA8A81N3sTQhxspml+BYgm\nk8nvmKYpwU4Lqq6ReOII5XTB3b4V9t9XFbJO4o0FCY8mmgoVgHsRz6pUNwU7zTm2AIXZVEOws/7a\n7WisatcsUp9OUZhPAw6a1yB+cqhpq50QO5X/jnagixdIsAMY4QADv/AC899/h1quCEBgpPeeTTfX\npT+61hDoAFjlCkuvf8TwH/n8ro/3MGjVVwfcAgP3G+yoHoPhP/p5Fv/gA/I35lANnehjR+h+8THy\nN+epZguouoaiKvUKN3a5SjWdx4iFHqiQgBbw0vXcGZbePN9wPHb2+I76/Qgh9pZpmu8DW11SNIG/\nA3zpQd7DFzAwrP25Eh8Iti/vYq/fu53ndl8GohSnmrdRa16DSE+oIW/H49GpbQh+jLX/1wztwJzn\n4vmbVFeyGMbauG2bzKVpIonwtoLZg3I+e0HO7cHNv+nh17ve42/WznG9fJ0zcXPX38Pv21nYIsHO\nmtDRIYJ/boDSfArNa2wrT2djhbH7Of4wsMvNfXXsmkUtX3dmIfYAABp3SURBVNzW63i6Igz94sv1\nYg3rnKq74qJoGt7eOKW5O8GmYztoPi/hB6xg1/3cGXwDXWQ/vYlj24ROjBA+MfJArymE2BvJZPKJ\nre4zTfNFYAD4mWmaAD3AN0zT7Eomk79+v+9RKlSp5lv1NNldgaCHwj68TzschnNzAj60aLChhDQo\nhE/0Uiw2Ng5VowGq0+78Yxga1bW5ydsX27fzdGwbFKVl3o9t2aRuLDWVpgaLpWsL913I4jD83nZK\nzm33FPKmW7yg8hQXlj4BQCW+a8ULNGdnxVJ2LdjphAo3iqriH+je9vP0UOsVhIe5RHFwop/MxZsA\nWIUy+ckZquk8lcU0esBH3xefvGuDztLiKtnkDN5EFE9XpOlDPDDWh2ro2NUagYl+UBXKCylw3G1u\n6w09H/g8xgekGIEQh1wymXwT6F2/bZrmPwPePaxzldg9VqVGYX4Vu2rh7wnjiQRQFIWex8cozK5S\nXMqiGirBwa6WW9CCA12UV/IN29k8kQCRnVTD26ZKpsBqcpbyag7V0AkNd69VjNtwYdC2WwQ6LrvW\nvE1biAe1XrwgdFxj9fkT/OZbtbYXL9iVYOdhr3ATPXuM9IXJpj2+8SdOtGlE7dfz0uMUp5eorGbJ\nfHoDu1zFiAbx9sbIJm9hFcuM/PIXmp7nWBazv/c29u158mtN8SKnx+n/yjMNWwc0n4e+Lz/N3Pfe\nBiA4MUDo6BB9X36a6CMT+3OSQgixByrZIpVcGSPkl0TyPVRezbP0wfX6l/7MtTlCowni5iCK6lZN\nu1t/IcdxKKdy+BMRAoNxDBxqioo3Htzz9gRWucrie5P1sdvVGpnr8zi2Q+zEnQt0mqHjiQYaevus\n8/XIlmyxN9LBR0jPAN85GMULdmtl56GucOPrjTP0zZdY/NGHlBdX0QM+4k+axJ862e6htY0RCTL+\nZ7/K3Ks/o3h7ET0cwBMP1yubFW7NU1nONOW/pN5Nkk3eIrhh1Sfz6Q18fV3En2zc/xk5NUZgtJfc\n5SlQFELHh9q2mmZXaziWjebr3H2/QnSKZDL5p9s9hlZqxQrL52/iFMtUqxaaz0PXmRF8XYe3MudB\nlvp0qml1I3drkUBf9J6FBKqFMksfXHdLSOO2Leh7fBTfDpuDbld+JtVyZSY/vUz0aF9D2ev4ySEW\n379eb2AKEBzswtct/67E3jsIxQseONiRCjeu4MQAwYkB7EoVxdCl6SRuI1H/YA+Bsb6W99cKpaZg\nJ3vpVsvHZi/dagp2wN0qGPvM8Qcf7A5Z5SoLr71H9tJ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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model = LogisticRegression(max_iter=500)\n", "model.fit(X_train, y_train)\n", "\n", "x0_features = np.arange(X_train[:, 0].min() - 1, X_train[:, 0].max() + 1, 0.05)\n", "x1_features = np.arange(X_train[:, 1].min() - 1, X_train[:, 1].max() + 1, 0.05)\n", "\n", "x0_features, x1_features = np.meshgrid(x0_features, x1_features)\n", "\n", "_, y_pred = model.predict(\n", " np.column_stack((x0_features.flatten(), x1_features.flatten())))\n", "y_pred = y_pred.reshape(x0_features.shape)\n", "\n", "_, (ax1, ax2) = plt.subplots(1, 2, figsize=(14, 6))\n", "ax1.scatter(\n", " X_train[:, 0],\n", " X_train[:, 1],\n", " c=y_train,\n", " s=45,\n", " cmap=plt.cm.Spectral,\n", " alpha=0.5,\n", " edgecolors='none')\n", "\n", "ax2.contourf(x0_features, x1_features, y_pred, alpha=0.5, cmap=plt.cm.Spectral)\n", "ax2.scatter(\n", " X_train[:, 0],\n", " X_train[:, 1],\n", " c=y_train,\n", " s=45,\n", " cmap=plt.cm.Spectral,\n", " alpha=0.5,\n", " edgecolors='none')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Summary\n", "\n", "In this notebook, we implemented Logistic Regression from scratch using Python/Numpy. We used maximum likelihood estimator for estimating the parameter of the model. \n", "\n", "Actually, we can look at Logistic Regression Baysean perspective as well. Later we will show you how we can do that from scratch :-)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References and Further Reading\n", "\n", "1. https://www.youtube.com/watch?v=mz3j59aJBZQ [Readdy good introduction to Logistic Regression by Nando de Freitas] \n", "\n", "2. Pattern Recognition and Machine Learning, Christopher Bishop, https://www.amazon.com/Pattern-Recognition-Learning-Information-Statistics/dp/0387310738 " ] } ], "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": "3.6.3" } }, "nbformat": 4, "nbformat_minor": 2 }