diff --git a/ML_simple_project/Chemical Classifier/Chemical classifier.ipynb b/ML_simple_project/Chemical Classifier/Chemical classifier.ipynb new file mode 100644 index 0000000..23c62e9 --- /dev/null +++ b/ML_simple_project/Chemical Classifier/Chemical classifier.ipynb @@ -0,0 +1,360 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 60, + "id": "016448e6", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "id": "d76c8a7e", + "metadata": {}, + "outputs": [], + "source": [ + "X_train = pd.read_csv(\"Logistic_X_Train.csv\")\n", + "Y_train = pd.read_csv(\"Logistic_Y_Train.csv\")\n", + "X_test = pd.read_csv(\"Logistic_X_Test.csv\")" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "id": "4c72b243", + "metadata": {}, + "outputs": [], + "source": [ + "X_train = X_train.values\n", + "Y_train = Y_train.values\n", + "X_test = X_test.values" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "id": "2516454d", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(X_train[:,0],X_train[:,1],c=Y_train,cmap=plt.cm.Accent)\n", + "plt.show()\n", + "plt.scatter(X_train[:,1],X_train[:,2],c=Y_train,cmap=plt.cm.Accent)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "id": "1a655e44", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.00745338, 0.99928635, 0.02948714])" + ] + }, + "execution_count": 64, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Data Normalisation\n", + "\n", + "x_mean = X_train.mean(axis=0) # axis 0 means column wise\n", + "x_mean # Two values\n", + "\n", + "# If we use axis=1, then we will get 1000 values" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "id": "66dc7901", + "metadata": {}, + "outputs": [], + "source": [ + "x_std = X_train.std(axis=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "id": "fbea9ad5", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Apply the transformation\n", + "X_train = (X_train-x_mean)/x_std\n", + "\n", + "# Apply the same Transformation for test data\n", + "# No new mean is calculates, mean of training is used\n", + "x_test_mean = X_test.mean(axis=0)\n", + "x_test_std = X_test.std(axis=0)\n", + "X_test = (X_test-x_test_mean)/x_test_std\n", + "\n", + "plt.scatter(X_train[:,0],X_train[:,1],c=Y_train,cmap=plt.cm.Accent)\n", + "plt.show() # Almost same but data is shifted to give center at 0" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "id": "5238b5c0", + "metadata": {}, + "outputs": [], + "source": [ + "def sigmoid(x):\n", + " return 1.0/(1.0 + np.exp(-x)) # Gives output between 0 to 1\n", + "\n", + "def hypothesis(X,theta):\n", + " \"\"\"\n", + " X - Entire array(m,n+1)\n", + " theta - np.array(n+1,1)\n", + " \"\"\"\n", + " return sigmoid(np.dot(X,theta))\n", + "\n", + "def error(X,y,theta):\n", + " \"\"\"\n", + " params:\n", + " X - (m,n+1)\n", + " y - (m,1)\n", + " theta - (n+1,1)\n", + " \n", + " return:\n", + " scale_value = loss\n", + " \"\"\"\n", + " hi = hypothesis(X,theta)\n", + " e = -1*np.mean((y*np.log(hi) + ((1-y)*np.log(1-hi))))\n", + " \n", + " return e\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "id": "41a4b1d9", + "metadata": {}, + "outputs": [], + "source": [ + "def gradient(X,y,theta):\n", + " \"\"\"\n", + " params:\n", + " X - (m,n+1)\n", + " y - (m,1)\n", + " theta - (n+1,1)\n", + " \n", + " return:\n", + " gradient_vector - (n+1,1)\n", + " \"\"\"\n", + " hi = hypothesis(X,theta)\n", + " grad = -np.dot(X.T,(y-hi))\n", + " \n", + " m = X.shape[0]\n", + " return grad/m\n", + " \n", + "def gradient_descent(X,y,lr=0.1,max_itr=500):\n", + " n = X.shape[1]\n", + " theta = np.zeros((n,1))\n", + " \n", + " error_list = []\n", + " for i in range(max_itr):\n", + " err = error(X,y,theta)\n", + " error_list.append(err)\n", + " \n", + " grad = gradient(X,y,theta)\n", + " \n", + " # update\n", + " theta = theta - lr*grad\n", + " return (theta,error_list)" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "id": "55a47888", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(3000, 4)\n", + "[[ 1. -0.93471307 -0.24439694 -0.46140414]\n", + " [ 1. -0.7823013 -0.19327286 -1.08586573]\n", + " [ 1. -0.46707053 0.56681072 -1.17534766]\n", + " ...\n", + " [ 1. 0.06059095 0.62470809 -1.83827342]\n", + " [ 1. 1.13777964 -0.13681202 1.22033571]\n", + " [ 1. -0.74013008 -0.42526137 -1.29728616]]\n" + ] + } + ], + "source": [ + "ones = np.ones((X_train.shape[0],1))\n", + "X_new_train = np.hstack((ones,X_train))\n", + "print(X_new_train.shape)\n", + "print(X_new_train)\n", + "Y_train = Y_train.reshape((-1,1))" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "id": "416b3acf", + "metadata": {}, + "outputs": [], + "source": [ + "theta,error_list = gradient_descent(X_new_train,Y_train)" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "id": "31047444", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x1 = np.arange(-3,4)\n", + "\n", + "x2 = -(theta[0] + theta[1]*x1)/theta[2]\n", + "plt.scatter(X_train[:,0],X_train[:,1],c=Y_train.reshape((-1,1)),cmap=plt.cm.Accent)\n", + "plt.plot(x1,x2)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "cd04c9f1", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3.9.13 64-bit (microsoft store)", + "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": "3.9.13" + }, + "vscode": { + "interpreter": { + "hash": "82fdf91ddeeed792d3266b5247c5c4bea4d9e401724bf89732a2ac0820806113" + } + } + }, + "nbformat": 4, + "nbformat_minor": 5 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