diff --git a/SVM Kernel Trick.ipynb b/SVM Kernel Trick.ipynb new file mode 100644 index 0000000..3a42575 --- /dev/null +++ b/SVM Kernel Trick.ipynb @@ -0,0 +1,324 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 6, + "id": "967033c9", + "metadata": {}, + "outputs": [], + "source": [ + "# imports\n", + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "from sklearn.model_selection import train_test_split\n", + "from sklearn.svm import SVC\n", + "from matplotlib.axes._axes import _log as matplotlib_axes_logger\n", + "from mpl_toolkits import mplot3d\n", + "from matplotlib.colors import ListedColormap\n", + "from sklearn.datasets import make_circles" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "a1a3520b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "X,y=make_circles(100, factor=.1, noise=.1)\n", + "\n", + "plt.scatter(X[:,0],X[:,1],c=y,s=50,cmap='bwr')" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "11b0ba62", + "metadata": {}, + "outputs": [], + "source": [ + "# train-test-split\n", + "X_train,X_test,Y_train,Y_test=train_test_split(X,y,test_size=0.2,random_state=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "1a5a9c0b", + "metadata": {}, + "outputs": [], + "source": [ + "# classifiacation with normal SVM(linear)\n", + "clf=SVC(kernel='linear')\n", + "clf.fit(X_train,Y_train)\n", + "Y_pred=clf.predict(X_test)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "3e82610c", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.45" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# accuracy\n", + "from sklearn.metrics import accuracy_score\n", + "accuracy_score(Y_test,Y_pred)" + ] + }, + { + "cell_type": "markdown", + "id": "9c24d7eb", + "metadata": {}, + "source": [ + "so here we are getting a accuracy score of 0.45 using simple SVM on the non-linear data" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "18c98292", + "metadata": {}, + "outputs": [], + "source": [ + "# classifiacation with kernel-trick SVM(RBF(Radial Basis Function))\n", + "clf_rbf=SVC(kernel='rbf')\n", + "clf_rbf.fit(X_train,Y_train)\n", + "Y_pred_rbf=clf_rbf.predict(X_test)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "e1c20f36", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.0" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "accuracy_score(Y_test,Y_pred_rbf)" + ] + }, + { + "cell_type": "markdown", + "id": "2c148f26", + "metadata": {}, + "source": [ + "so here we are getting a accuracy score of 100% using Kernel trick on SVM on the non-linear data" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "ea170f2e", + "metadata": {}, + "outputs": [], + "source": [ + "# plotting decision boundaries\n", + "zero_one_colourmap = ListedColormap(('blue', 'red'))\n", + "def plot_decision_boundary(X, y, clf):\n", + " X_set, y_set = X, y\n", + " X1, X2 = np.meshgrid(np.arange(start = X_set[:, 0].min() - 1, \n", + " stop = X_set[:, 0].max() + 1, \n", + " step = 0.01),\n", + " np.arange(start = X_set[:, 1].min() - 1, \n", + " stop = X_set[:, 1].max() + 1, \n", + " step = 0.01))\n", + " \n", + " plt.contourf(X1, X2, clf.predict(np.array([X1.ravel(), \n", + " X2.ravel()]).T).reshape(X1.shape),\n", + " alpha = 0.75, \n", + " cmap = zero_one_colourmap)\n", + " plt.xlim(X1.min(), X1.max())\n", + " plt.ylim(X2.min(), X2.max())\n", + " for i, j in enumerate(np.unique(y_set)):\n", + " plt.scatter(X_set[y_set == j, 0], X_set[y_set == j, 1],\n", + " c = (zero_one_colourmap)(i), label = j)\n", + " plt.title('SVM Decision Boundary')\n", + " plt.xlabel('X1')\n", + " plt.ylabel('X2')\n", + " plt.legend()\n", + " return plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "47515a49", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n", + "*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n" + ] + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# for normal\n", + "plot_decision_boundary(X,y,clf)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "ff0b2d65", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n", + "*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n" + ] + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_decision_boundary(X,y,clf_rbf)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "526cfd66", + "metadata": {}, + "outputs": [], + "source": [ + "# the Kernel-trick\n", + "def plot_3d(X,y):\n", + " z=np.exp(-(X ** 2).sum(1)) # we are applying e^(-X^2)\n", + " ax=plt.subplot(projection='3d')\n", + " ax.scatter3D(X[:,0],X[:,1],z,c=y,s=50,cmap='bwr')\n", + " ax.set_xlabel('X1')\n", + " ax.set_ylabel('Y1')\n", + " ax.set_zlabel('y')\n", + " return ax" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "9d97fe94", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_3d(X,y)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "33e0d408", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.10.5" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/VIDEO HUB/my-app/package.json b/VIDEO HUB/my-app/package.json index 573d63b..72c6fca 100644 --- a/VIDEO HUB/my-app/package.json +++ b/VIDEO HUB/my-app/package.json @@ -13,6 +13,7 @@ "react": "^18.2.0", "react-dom": "^18.2.0", "react-icons": "^3.11.0", + "react-responsive-carousel": "^3.2.23", "react-router-dom": "^6.16.0", "react-scripts": "5.0.1", "web-vitals": "^2.1.4" diff --git a/VIDEO HUB/my-app/src/App.js b/VIDEO HUB/my-app/src/App.js index 8f66c30..e5ac085 100644 --- a/VIDEO HUB/my-app/src/App.js +++ b/VIDEO HUB/my-app/src/App.js @@ -1,11 +1,24 @@ import React from 'react'; +import Header from './component/Header'; +import Home from './component/Home'; +import Login from './component/Login'; import { BrowserRouter as Router, Routes, Route } from 'react-router-dom'; +import Signup from './component/Signup'; +import Upload from './component/Upload'; +import Video from './component/Video'; +import Footer from './component/Footer'; function App() { return ( +
- + } /> + } /> + } /> + } /> + } /> +