├── .gitignore ├── requirements.txt ├── utils └── data_operation.py ├── LICENSE ├── unsupervised_learning └── KMeansClustering │ └── k_mean.py └── KclusterAI.ipynb /.gitignore: -------------------------------------------------------------------------------- 1 | venv 2 | .env -------------------------------------------------------------------------------- /requirements.txt: -------------------------------------------------------------------------------- 1 | matplotlib 2 | seaborn 3 | scikit-learn 4 | numpy 5 | pandas -------------------------------------------------------------------------------- /utils/data_operation.py: -------------------------------------------------------------------------------- 1 | import math 2 | 3 | 4 | 5 | def distance(p1,p2): 6 | """Euclidean distance betweeen two points.""" 7 | return math.sqrt(math.sum(p1-p2)**2) -------------------------------------------------------------------------------- /LICENSE: -------------------------------------------------------------------------------- 1 | MIT License 2 | 3 | Copyright (c) 2025 CodeAvecAsnit 4 | 5 | Permission is hereby granted, free of charge, to any person obtaining a copy 6 | of this software and associated documentation files (the "Software"), to deal 7 | in the Software without restriction, including without limitation the rights 8 | to use, copy, modify, merge, publish, distribute, sublicense, and/or sell 9 | copies of the Software, and to permit persons to whom the Software is 10 | furnished to do so, subject to the following conditions: 11 | 12 | The above copyright notice and this permission notice shall be included in all 13 | copies or substantial portions of the Software. 14 | 15 | THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR 16 | IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 17 | FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE 18 | AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER 19 | LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, 20 | OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE 21 | SOFTWARE. 22 | -------------------------------------------------------------------------------- /unsupervised_learning/KMeansClustering/k_mean.py: -------------------------------------------------------------------------------- 1 | import numpy as np 2 | 3 | class KMeans: 4 | def __init__(self, k=2, max_iterations=500): 5 | self.k = k 6 | self.max_iterations = max_iterations 7 | self.clusters = {} 8 | 9 | def _init_random_centroids(self, x): 10 | """ Initialize k random centroids from the dataset x """ 11 | np.random.seed(23) 12 | random_indices = np.random.choice(x.shape[0], self.k, replace=False) 13 | self.clusters = {i: {'center': x[idx], 'points': []} for i, idx in enumerate(random_indices)} 14 | 15 | def assign_clusters(self, x): 16 | """ Assign each point in x to the nearest centroid """ 17 | for i in range(self.k): 18 | self.clusters[i]['points'] = [] 19 | 20 | for idx in range(x.shape[0]): 21 | distances = [np.linalg.norm(x[idx] - self.clusters[i]['center']) for i in range(self.k)] 22 | cluster_idx = np.argmin(distances) 23 | self.clusters[cluster_idx]['points'].append(x[idx]) 24 | 25 | def update_clusters(self): 26 | """ Update the centroids by computing the mean of assigned points """ 27 | for i in range(self.k): 28 | points = np.array(self.clusters[i]['points']) 29 | if points.shape[0] > 0: 30 | self.clusters[i]['center'] = points.mean(axis=0) 31 | 32 | def predict_cluster(self, x): 33 | """ Predict which cluster a new data point belongs to """ 34 | predictions = [] 35 | for i in range(x.shape[0]): 36 | distances = [np.linalg.norm(x[i] - self.clusters[j]['center']) for j in self.clusters] 37 | predictions.append(np.argmin(distances)) 38 | return np.array(predictions) -------------------------------------------------------------------------------- /KclusterAI.ipynb: -------------------------------------------------------------------------------- 1 | { 2 | "nbformat": 4, 3 | "nbformat_minor": 0, 4 | "metadata": { 5 | "colab": { 6 | "provenance": [], 7 | "authorship_tag": "ABX9TyMHLdxambvCFBdBtf+0rnzz", 8 | "include_colab_link": true 9 | }, 10 | "kernelspec": { 11 | "name": "python3", 12 | "display_name": "Python 3" 13 | }, 14 | "language_info": { 15 | "name": "python" 16 | } 17 | }, 18 | "cells": [ 19 | { 20 | "cell_type": "markdown", 21 | "metadata": { 22 | "id": "view-in-github", 23 | "colab_type": "text" 24 | }, 25 | "source": [ 26 | "\"Open" 27 | ] 28 | }, 29 | { 30 | "cell_type": "markdown", 31 | "source": [ 32 | "\n", 33 | "\n", 34 | "```\n", 35 | "\n", 36 | "```\n", 37 | "\n", 38 | "# K MEANS CLUSTERING" 39 | ], 40 | "metadata": { 41 | "id": "O_1mtkSKeetp" 42 | } 43 | }, 44 | { 45 | "cell_type": "code", 46 | "source": [ 47 | "from google.colab import drive\n", 48 | "drive.mount('/content/drive')" 49 | ], 50 | "metadata": { 51 | "id": "G4z1-sEaq1nk" 52 | }, 53 | "execution_count": null, 54 | "outputs": [] 55 | }, 56 | { 57 | "cell_type": "code", 58 | "source": [ 59 | "import numpy as np\n", 60 | "import matplotlib.pyplot as plt\n", 61 | "from sklearn.datasets import make_blobs\n", 62 | "\n", 63 | "x, y = make_blobs(n_samples=500, n_features=2, centers=3, random_state=23)\n", 64 | "\n", 65 | "plt.figure(0)\n", 66 | "plt.grid(True)\n", 67 | "plt.scatter(x[:, 0], x[:, 1])\n", 68 | "plt.show()" 69 | ], 70 | "metadata": { 71 | "colab": { 72 | "base_uri": "https://localhost:8080/", 73 | "height": 430 74 | }, 75 | "id": "d2TX-wcEepjH", 76 | "outputId": "804d1ac0-ce5a-4eb8-92d4-812967e6a8e8" 77 | }, 78 | "execution_count": null, 79 | "outputs": [ 80 | { 81 | "output_type": "display_data", 82 | "data": { 83 | "text/plain": [ 84 | "
" 85 | ], 86 | "image/png": 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\n" 87 | }, 88 | "metadata": {} 89 | } 90 | ] 91 | }, 92 | { 93 | "cell_type": "code", 94 | "source": [ 95 | "k = 3\n", 96 | "\n", 97 | "clusters = {}\n", 98 | "np.random.seed(23)\n", 99 | "\n", 100 | "for idx in range(k):\n", 101 | " center = 2 * (2 * np.random.random((x.shape[1],)) - 1)\n", 102 | " clusters[idx] = {\n", 103 | " 'center': center,\n", 104 | " 'points': []\n", 105 | " }\n", 106 | "plt.scatter(x[:, 0], x[:, 1])\n", 107 | "plt.grid(True)\n", 108 | "\n", 109 | "for i in clusters:\n", 110 | " center = clusters[i]['center']\n", 111 | " plt.scatter(center[0], center[1], marker='*', c='purple', s=200, edgecolors='black')\n", 112 | "plt.show()\n" 113 | ], 114 | "metadata": { 115 | "colab": { 116 | "base_uri": "https://localhost:8080/", 117 | "height": 430 118 | }, 119 | "id": "wqhJLagRhIPD", 120 | "outputId": "07d9adeb-fc5c-49c7-cce6-852876c0dde5" 121 | }, 122 | "execution_count": null, 123 | "outputs": [ 124 | { 125 | "output_type": "display_data", 126 | "data": { 127 | 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\n" 131 | }, 132 | "metadata": {} 133 | } 134 | ] 135 | }, 136 | { 137 | "cell_type": "code", 138 | "source": [ 139 | "def distance(p1,p2):\n", 140 | " return np.sqrt(np.sum(p1-p2)**2)" 141 | ], 142 | "metadata": { 143 | "id": "YJIsT3SXiHU_" 144 | }, 145 | "execution_count": null, 146 | "outputs": [] 147 | }, 148 | { 149 | "cell_type": "code", 150 | "source": [ 151 | "def assign_clusters(x,clusters):\n", 152 | " for idx in range(x.shape[0]):\n", 153 | " dist=[]\n", 154 | " curr_x = x[idx]\n", 155 | "\n", 156 | " for i in range(k):\n", 157 | " dis = distance(curr_x,clusters[i]['center'])\n", 158 | " dist.append(dis)\n", 159 | " curr_cluster=np.argmin(dist)\n", 160 | " clusters[curr_cluster]['points'].append(curr_x)\n", 161 | " return clusters" 162 | ], 163 | "metadata": { 164 | "id": "mgf34j1xkz0j" 165 | }, 166 | "execution_count": null, 167 | "outputs": [] 168 | }, 169 | { 170 | "cell_type": "code", 171 | "source": [ 172 | "def update_clusters(x,clusters):\n", 173 | " for i in range(k):\n", 174 | " points = np.array(clusters[i]['points'])\n", 175 | " if points.shape[0]>0:\n", 176 | " new_center=points.mean(axis=0)\n", 177 | " clusters[i]['center']=new_center\n", 178 | " clusters[i]['points']=[]\n", 179 | " return clusters" 180 | ], 181 | "metadata": { 182 | "id": "ivux_fYclr4c" 183 | }, 184 | "execution_count": null, 185 | "outputs": [] 186 | }, 187 | { 188 | "cell_type": "code", 189 | "source": [ 190 | "def predict_cluster(x, clusters):\n", 191 | " pred = []\n", 192 | " for i in range(x.shape[0]):\n", 193 | " dist = []\n", 194 | " for j in clusters:\n", 195 | " dist.append(distance(x[i], clusters[j]['center']))\n", 196 | " pred.append(np.argmin(dist))\n", 197 | " return np.array(pred)" 198 | ], 199 | "metadata": { 200 | "id": "PHD1T_2UmUeV" 201 | }, 202 | "execution_count": null, 203 | "outputs": [] 204 | }, 205 | { 206 | "cell_type": "code", 207 | "source": [ 208 | "clusters=assign_clusters(x,clusters)\n", 209 | "clusters=update_clusters(x,clusters)\n", 210 | "pred=predict_cluster(x,clusters)" 211 | ], 212 | "metadata": { 213 | "id": "a0mdsS7fnCtc" 214 | }, 215 | "execution_count": null, 216 | "outputs": [] 217 | }, 218 | { 219 | "cell_type": "code", 220 | "source": [ 221 | "plt.scatter(x[:,0], x[:,1], c=pred)\n", 222 | "for i in clusters:\n", 223 | " center = clusters[i]['center']\n", 224 | " plt.scatter(center[0], center[1], marker='^', c='red')\n", 225 | "plt.show()" 226 | ], 227 | "metadata": { 228 | "colab": { 229 | "base_uri": "https://localhost:8080/", 230 | "height": 430 231 | }, 232 | "id": "QIwKbRwwnhhD", 233 | "outputId": "007c0e70-4938-47bc-aa6b-ae1ca33a38a8" 234 | }, 235 | "execution_count": null, 236 | "outputs": [ 237 | { 238 | "output_type": "display_data", 239 | "data": { 240 | "text/plain": [ 241 | "
" 242 | ], 243 | "image/png": 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\n" 244 | }, 245 | "metadata": {} 246 | } 247 | ] 248 | } 249 | ] 250 | } --------------------------------------------------------------------------------