{ "cells": [ { "cell_type": "markdown", "id": "c72648b3-af5c-4dd0-8306-217427ae949a", "metadata": {}, "source": [ "# Interview Q:" ] }, { "cell_type": "code", "execution_count": 100, "id": "c42efdb2-91c6-4184-a14a-a46431fbe9d9", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "def dist(X: np.ndarray, Y: np.ndarray) -> float:\n", " return np.sqrt((X-Y).T @ (X-Y))\n", "\n", "def knn(X_train: np.ndarray, k: int, X: np.ndarray, y: np.ndarray) -> int:\n", " distances = []\n", "\n", " for X_i in X_train:\n", " distances.append(dist(X_i, X))\n", "\n", " candidates = np.argsort(distances)[:k]\n", " return 1 if sum([y[c] for c in candidates]) > (len(candidates)/2) else 0\n", "\n", "from sklearn.datasets import make_blobs\n", "\n", "X, y = make_blobs(n_samples=20,\n", " centers = [[1,1], [3,3]],\n", " random_state=123,\n", " cluster_std=0.6)\n", "\n", "import matplotlib.pyplot as plt\n", "plt.scatter(X[:,0], X[:,1], c=y)\n", "\n", "\n", "X1 = [3,3] # expect 1 = yellow\n", "X2 = [0,0] # expect 0 = purple\n", "X3 = [1,1] # expect 0 (purple)\n", "k = 5\n", "X_test = np.array([X1, X2, X3])\n", "y_test = np.array([knn(X, k, p,y) for p in X_test])\n", "plt.scatter(X_test[:,0], X_test[:,1], c=y_test, marker='x')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "f3c0b0d6-1e94-4341-adf1-6cd4a3902469", "metadata": {}, "source": [ "# Computer Vision Test Q" ] }, { "cell_type": "code", "execution_count": 17, "id": "f9456790-74ac-4069-9ce2-ae62cb0c665a", "metadata": {}, "outputs": [ { "data": { "image/png": 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JaMaMGRo5cmSV+xcUFOiRRx5xOwYAALhAuX7m45VXXtFLL72kl19+WRs3btS8efP0q1/9SvPmzaty//z8fAWDwYqlqKjI7UgAAOAC4hiX34aSnZ2tyZMna/z48RXrHn30Uc2fP18ffvhhrd8fCoUUCAQUDAaVlpbmZjQAABAj9Tl+u37mo7S0VD5f5Yf1+/2KRqNuDwUAAOKQ69d8DBkyRDNmzFCbNm2Uk5OjTZs26YknntDYsWPdHgoAAMQh1192KSkp0ZQpU7Rw4UIdPHhQWVlZGjFihKZOnarExMRav5+XXQAAiD/1OX67Xj7OF+UDAID44+k1HwAAADWhfAAAAKsoHwAAwCrKBwAAsIryAQAArKJ8AAAAqygfAADAKsoHAACwivIBAACsonwAAACrKB8AAMAqygcAALCK8gEAAKyifAAAAKsoHwAAwCrKBwAAsIryAQAArKJ8AAAAqygfAADAKsoHAACwivIBAACsonwAAACrKB8AAMAqygcAALCK8gEAAKyifAAAAKsoHwAAwCrKBwAAsIryAQAArKJ8AAAAqxK8DmCLieyTyt6VZKRG18hJuMzrSAAAWLVn+z598M42+fw+9fy3HKVnNvUkh+vlo127dtq1a9dZ63/0ox9p1qxZbg9XKxMNygR/JoXfkGQ+W+vIJH1LTmCGHF8z65kAALDp8L6jenzMLG14472KdT6/T98a0VcTfjtOKY1TrOZxvXysX79ekUik4s/vv/+++vfvr2HDhrk9VK2MKZM5Mloq36oviodOfx1eIXNklJT+ZzmO3f/pAADYcjx4XPd+fYoO7v600vpoJKo3F6zWgd2f6vFlD8uf4LeWyfVrPlq0aKGMjIyKZdGiRerYsaO++c1vuj1U7U7+TSrfIilSxcaIVL5NOvG67VQAAFiz6HfLtH/nQUXKo2dti0ai2rzqA63920armWJ6wWlZWZnmz5+vsWPHynGcKvcJh8MKhUKVFreY0r+o5ik6Mif+7Np4AABcaBa/8KZM1FS73ef3acnctywminH5eO2111RcXKw77rij2n0KCgoUCAQqluzsbPcCRA9IOrvpfcFIkYPujQcAwAXm6IHiGrdHI1Ed3nvETpjPxLR8PP/888rLy1NWVla1++Tn5ysYDFYsRUVF7gXwZ6rmKfokf4Z74wEAcIFJz2oqVf3ig6TTZz5aZDe3F0gxLB+7du3SsmXLNG7cuBr3S0pKUlpaWqXFLU7KMNV85iMqJ+V218YDAOBCc+O4XDk1tI9oJKpBY/pZTBTD8jFnzhy1bNlSgwcPjtUQtUseJDW6WlVP0ycl5EgpQ2ynAgDAmrxxNyi7W5Z8/rOPhY7P0Vf691CvvKutZopJ+YhGo5ozZ45Gjx6thATv7mPmOI3kNH1BSr5Fld9V7JeSvy2n2R/kOElexQMAIOYuaZKiJ1b+XH2G9pLj++IMSEJigr79w/76+esPyueze8NzxxhT/SWw5+iNN97QwIEDtXXrVnXp0qVe3xsKhRQIBBQMBl19CcZEj0hlm3T6DqdXyfHbfX0LAACvHdpzWFvXfyx/gl9XXN9Fac2auPbY9Tl+x6R8nI9YlQ8AABA79Tl+88FyAADAKsoHAACwivIBAACsonwAAACrKB8AAMAqygcAALCK8gEAAKyifAAAAKsoHwAAwCrKBwAAsIryAQAArKJ8AAAAqygfAADAKsoHAACwivIBAACsonwAAACrKB8AAMAqygcAALCK8gEAAKyifAAAAKsoHwAAwCrKBwAAsIryAQAArKJ8AAAAqygfAADAKsoHAACwivIBAACsonwAAACrKB8AAMAqygcAALCK8gEAAKyKSfnYs2ePvvvd7yo9PV0pKSnq3r273n333VgMBQAA4kyC2w949OhR9enTR/369dPf//53tWjRQtu2bVPTpk3dHgoAAMQh18vHzJkzlZ2drTlz5lSsa9++vdvDAACAOOX6yy5//etfde2112rYsGFq2bKlrr76aj333HPV7h8OhxUKhSotAACg4XK9fPzrX//S7Nmz1blzZy1ZskR33323JkyYoHnz5lW5f0FBgQKBQMWSnZ3tdiQAAHABcYwxxs0HTExM1LXXXqu33367Yt2ECRO0fv16rVmz5qz9w+GwwuFwxZ9DoZCys7MVDAaVlpbmZjQAABAjoVBIgUCgTsdv1898ZGZm6oorrqi07vLLL9fu3bur3D8pKUlpaWmVFgAA0HC5Xj769OmjrVu3Vlr30UcfqW3btm4PBQAA4pDr5ePee+/VO++8o1/84hfavn27Xn75Zf3+97/X+PHj3R4KAADEIdfLR69evbRw4UItWLBAV155paZPn64nn3xSI0eOdHsoAAAQh1y/4PR81eeCFQAAcGHw9IJTAACAmlA+AACAVZQPAABgFeUDAABYRfkAAABWUT4AAIBVlA8AAGAV5QMAAFhF+QAAAFZRPgAAgFWUDwAAYBXlAwAAWEX5AAAAVlE+AACAVZQPAABgFeUDAABYRfkAAABWUT4AAIBVlA8AAGAV5QMAAFhF+QAAAFZRPgAAgFWUDwAAYBXlAwAAWEX5AAAAVlE+AACAVZQPAABgFeUDAABYRfkAAABWUT4AAIBVCV4HsMVE9kll70oyUqNr5CRc5nUkAIgrJUePaeOyzSo7UaYOPduqY892XkdCnHK9fEybNk2PPPJIpXVdu3bVhx9+6PZQdWKiQZngz6TwG5LMZ2sdmaRvyQnMkONr5kkuAIgX5afK9Z+TX9Jff7tYp8LlFeu79uqkB+b9WG26tfYwHeJRTF52ycnJ0b59+yqW1atXx2KYWhlTJnNktBRepi+Kh05/HV4hc2SUjDnhSTYAiBf/cedsvfrk3yoVD0natvFfmtj3Zzqw61OPkiFexaR8JCQkKCMjo2Jp3rx5LIap3cm/SeVbJEWq2BiRyrdJJ163nQoA4sb2TTu0bP4qGWPO2haNRHU8VKo/Pca/o6ifmJSPbdu2KSsrSx06dNDIkSO1e/fuavcNh8MKhUKVFreY0r+o5ik6Mif+7Np4ANDQLHtxpfwJ1f87Gi2P6o15KxSNRi2mQrxzvXxcd911mjt3rhYvXqzZs2drx44d+vrXv66SkpIq9y8oKFAgEKhYsrOz3QsTPSCppr8QRoocdG88AGhgjhwolomefdbjy8KlYYVLw5YSoSFwvXzk5eVp2LBh6tGjhwYOHKj//u//VnFxsV555ZUq98/Pz1cwGKxYioqK3Avjz1TNU/RJ/gz3xgOABiY9s5kcn1PjPimNk5V0SZKlRGgIYn6fj0svvVRdunTR9u3bq9yelJSktLS0SotbnJRhqvnMR1ROyu2ujQcADc2AO/5NkfLq/x31+X0aOKaffD5uG4W6i/lvy7Fjx/Txxx8rMzMz1kOdLXmQ1OhqVT1Nn5SQI6UMsZ0KAOJG+yvb6MYf5EpVnPzw+X0KNG+if39wqPVciG+ul4/7779fK1eu1M6dO/X222/rlltukd/v14gRI9weqlaO00hO0xek5FtU+ZYmfin523Ka/UGOw6lCAKjJhFnj9N2f3abkxsmV1vf45hV66u0Zap7F/ZJQP46p6v1T52H48OFatWqVDh8+rBYtWqhv376aMWOGOnbsWKfvD4VCCgQCCgaDrr4EY6JHpLJNOn2H06vk+D16+y8AxKkTx09q86oPVHayTO27t1HrTh6c0cYFqz7Hb9fLx/mKVfkAAACxU5/jN1cIAQAAqygfAADAKsoHAACwivIBAACsonwAAACrKB8AAMAqygcAALCK8gEAAKyifAAAAKsoHwAAwCrKBwAAsIryAQAArKJ8AAAAqygfAADAKsoHAACwivIBAACsonwAAACrKB8AAMAqygcAALCK8gEAAKyifAAAAKsoHwAAwCrKBwAAsIryAQAArKJ8AAAAqygfAADAKsoHAACwivIBAACsonwAAACrKB8AAMCqBK8DAABwIYhEIvrnyi36tOiwAi3SdE1udzVKbOR1rAYp5mc+fvnLX8pxHE2cODHWQwEAcE7eWbRBozqM1wO5P9fjY2bpZ98u0PDWP9TiF970OlqDFNMzH+vXr9fvfvc79ejRI5bDAABwztYv3qSpN8+UZCqtDx0u0X+Mm61oJKobv5/rTbgGKmZnPo4dO6aRI0fqueeeU9OmTWM1DAAA58wYo9k/mffZ11Xv89yD81V2ssxiqoYvZuVj/PjxGjx4sHJza26L4XBYoVCo0gIAgA0fF+5U0Yd7ZKprHpKOFR/Xur9vspiq4YvJyy5//OMftXHjRq1fv77WfQsKCvTII4/EIgYAADU6sr+49p0c6Whd9kOduX7mo6ioSPfcc49eeuklJScn17p/fn6+gsFgxVJUVOR2JAAAqpSeVYfLAoyU3rpZ7MNcRFw/87FhwwYdPHhQ11xzTcW6SCSiVatW6ZlnnlE4HJbf76/YlpSUpKSkJLdjAABQqw492qp99zba+b9FMtGqX3pp0qyxeg26ym6wBs71Mx833HCDNm/erMLCworl2muv1ciRI1VYWFipeAAA4CXHcfSjJ8fI53Pk+Jwq97n713dwvw+XuX7mo0mTJrryyisrrUtNTVV6evpZ6wEA8NpV/a7UL/7+M/3mx/+pT7burVjf/LJ0/eCxUeo3vI+H6Rom7nAKALjoXXNDd72w5UltXb+94g6nOX26crY+RhxT0/uLPBAKhRQIBBQMBpWWluZ1HAAAUAf1OX7zwXIAAMAqygcAALCK8gEAAKyifAAAAKsoHwAAwCrKBwAAsIryAQAArKJ8AAAAqygfAADAKsoHAACwivIBAACsonwAAACrKB8AAMAqygcAALCK8gEAAKyifAAAAKsoHwAAwCrKBwAAsIryAQAArKJ8AAAAqygfAADAKsoHAACwivIBAACsonwAAACrKB8AAMAqygcAALCK8gEAAKyifAAAAKsoHwAAwCrKBwAAsCrB6wBAXRhj9NGGf2n3lk+UnJqka/r3UGraJV7HQj2UnyrXpuWbdfRAUM1bN1PPfjny+/1exwIuKqZ8l3SqUJJfSvyqHH9LT3K4Xj5mz56t2bNna+fOnZKknJwcTZ06VXl5eW4PhYvE9sId+tWYWfr4vV0V65JSEnXbT4Zo1LRhHMDiwLL5q/S7+/+g4oPBinXpWU01/uk79fVbr/MwGXBxMJGDMsHJUtnqL631ySQPkZM2TY4v1Woexxhj3HzA//qv/5Lf71fnzp1ljNG8efP0+OOPa9OmTcrJyan1+0OhkAKBgILBoNLS0tyMhjhUtHWPxn91ssKlZYpGopU3OtLNPxqkH//mTm/CoU6WzV+lmd/7zdkbnNP/mfaXSeoz9Kt2QwEXERMtkTk8VIrslRQ5Y6tPavQVOc3myXHO73xEfY7frl/zMWTIEN14443q3LmzunTpohkzZqhx48Z655133B4KF4H50/+sshNVFA9JMtLrsxZr78f77QdDnZSfKtez982reuNnT3uevW+eotEqfr4A3FH6RymyR2cXD0mKSqfWS+EVViPF9ILTSCSiP/7xjzp+/Lh69+5d5T7hcFihUKjSAkjSydKwVr6yRpHy6g9MPr9Py15cZTEV6mPT8s0KflrD32kj7d9xUB+8s81eKOAiY078WVJNBd8nc+JVW3E+GzEGNm/erMaNGyspKUl33XWXFi5cqCuuuKLKfQsKChQIBCqW7OzsWERCHDpWfFyR8qqa+hccn6Mj+4vtBEK91fVnw88QiKHoodp2kCIHrET5XEzKR9euXVVYWKi1a9fq7rvv1ujRo7Vly5Yq983Pz1cwGKxYioqKYhEJcahJ01QlNKr5YlITNWreupmlRKiv9Ky6/Wz4GQIx5GupiousquSX/Jm20kiKUflITExUp06d9JWvfEUFBQXq2bOnnnrqqSr3TUpKUlpaWqUFkKSklCT1G9FXvoTqf02j0aj6f++bFlOhPq7+1pVqmnFptdsdx1Hrzpnq9tVO9kIBFxnnkttr2SMiJ+U7VrJ8zspNxqLRqMLhsI2h0MCMmjpMlzROkc9f9a/q7ffdpFZtW1hOhbryJ/j146fHnn7SdcYTL8dxJEca/9SY018DiI2UYZK/g6SqziT7pMQ+UpLdJ3Gul4/8/HytWrVKO3fu1ObNm5Wfn68VK1Zo5MiRbg+Fi0Bmh1Z66u0ZuqJ3l0rrL0m7RHcWjNS4md/1KBnq6hu39dbDf75fLdtULomZHVtpxqJ89Rp0tUfJgIuD42ssJ/0lKSlXlQ/7jaSU4XKaPivHsXvDc9fv83HnnXdq+fLl2rdvnwKBgHr06KEHH3xQ/fv3r9P3c58PVGf3h3u0a8snSmmcrB7fuFyJyYleR0I9RKNRbVnzkY7uL1Z662a6/LrOnPEALDOR/dKpzZISpMSr5fgude2x63P8dr18nC/KBwAA8cfTm4wBAADUhPIBAACsonwAAACrKB8AAMAqygcAALCK8gEAAKyifAAAAKsoHwAAwCrKBwAAsCrB6wBn+vyGq6FQyOMkAACgrj4/btflxukXXPkoKSmRJGVnZ3ucBAAA1FdJSYkCgUCN+1xwn+0SjUa1d+9eNWnSxPUPnQqFQsrOzlZRUVGD/NyYhj4/qeHPkfnFv4Y+x4Y+P6nhzzFW8zPGqKSkRFlZWfL5ar6q44I78+Hz+XTZZZfFdIy0tLQG+Qv1uYY+P6nhz5H5xb+GPseGPj+p4c8xFvOr7YzH57jgFAAAWEX5AAAAVl1U5SMpKUkPP/ywkpKSvI4SEw19flLDnyPzi38NfY4NfX5Sw5/jhTC/C+6CUwAA0LBdVGc+AACA9ygfAADAKsoHAACwivIBAACsuijKR7t27eQ4zlnL+PHjvY7mikgkoilTpqh9+/ZKSUlRx44dNX369DrdXz9elJSUaOLEiWrbtq1SUlJ0/fXXa/369V7HOmerVq3SkCFDlJWVJcdx9Nprr1XabozR1KlTlZmZqZSUFOXm5mrbtm3ehD0Htc3v1Vdf1YABA5Seni7HcVRYWOhJzvNR0xxPnTqlBx98UN27d1dqaqqysrL0ve99T3v37vUucD3V9jOcNm2aunXrptTUVDVt2lS5ublau3atN2HPQW3z+7K77rpLjuPoySeftJbPDbXN8Y477jjruDho0CAr2S6K8rF+/Xrt27evYlm6dKkkadiwYR4nc8fMmTM1e/ZsPfPMM/rggw80c+ZMPfbYY/rNb37jdTTXjBs3TkuXLtWLL76ozZs3a8CAAcrNzdWePXu8jnZOjh8/rp49e2rWrFlVbn/sscf09NNP69lnn9XatWuVmpqqgQMH6uTJk5aTnpva5nf8+HH17dtXM2fOtJzMPTXNsbS0VBs3btSUKVO0ceNGvfrqq9q6datuuukmD5Kem9p+hl26dNEzzzyjzZs3a/Xq1WrXrp0GDBigTz/91HLSc1Pb/D63cOFCvfPOO8rKyrKUzD11meOgQYMqHR8XLFhgJ5y5CN1zzz2mY8eOJhqNeh3FFYMHDzZjx46ttO7WW281I0eO9CiRu0pLS43f7zeLFi2qtP6aa64xDz30kEep3CPJLFy4sOLP0WjUZGRkmMcff7xiXXFxsUlKSjILFizwIOH5OXN+X7Zjxw4jyWzatMlqJrfVNMfPrVu3zkgyu3btshPKRXWZXzAYNJLMsmXL7IRyUXXz++STT0zr1q3N+++/b9q2bWt+/etfW8/mlqrmOHr0aHPzzTd7kueiOPPxZWVlZZo/f77Gjh3r+gfXeeX666/X8uXL9dFHH0mS3nvvPa1evVp5eXkeJ3NHeXm5IpGIkpOTK61PSUnR6tWrPUoVOzt27ND+/fuVm5tbsS4QCOi6667TmjVrPEyG8xEMBuU4ji699FKvo7iurKxMv//97xUIBNSzZ0+v47giGo1q1KhRmjRpknJycryOEzMrVqxQy5Yt1bVrV9199906fPiwlXEvuA+Wi7XXXntNxcXFuuOOO7yO4prJkycrFAqpW7du8vv9ikQimjFjhkaOHOl1NFc0adJEvXv31vTp03X55ZerVatWWrBggdasWaNOnTp5Hc91+/fvlyS1atWq0vpWrVpVbEN8OXnypB588EGNGDGiQX1Q2aJFizR8+HCVlpYqMzNTS5cuVfPmzb2O5YqZM2cqISFBEyZM8DpKzAwaNEi33nqr2rdvr48//lg//elPlZeXpzVr1sjv98d07IuufDz//PPKy8uLy9fvqvPKK6/opZde0ssvv6ycnBwVFhZq4sSJysrK0ujRo72O54oXX3xRY8eOVevWreX3+3XNNddoxIgR2rBhg9fRgBqdOnVKt99+u4wxmj17ttdxXNWvXz8VFhbq0KFDeu6553T77bdr7dq1atmypdfRzsuGDRv01FNPaePGjQ3mDHlVhg8fXvF19+7d1aNHD3Xs2FErVqzQDTfcENOxL6qXXXbt2qVly5Zp3LhxXkdx1aRJkzR58mQNHz5c3bt316hRo3TvvfeqoKDA62iu6dixo1auXKljx46pqKhI69at06lTp9ShQwevo7kuIyNDknTgwIFK6w8cOFCxDfHh8+Kxa9cuLV26tEGd9ZCk1NRUderUSV/72tf0/PPPKyEhQc8//7zXsc7bP/7xDx08eFBt2rRRQkKCEhIStGvXLt13331q166d1/FipkOHDmrevLm2b98e87EuqvIxZ84ctWzZUoMHD/Y6iqtKS0vl81X+Ufr9fkWjUY8SxU5qaqoyMzN19OhRLVmyRDfffLPXkVzXvn17ZWRkaPny5RXrQqGQ1q5dq969e3uYDPXxefHYtm2bli1bpvT0dK8jxVw0GlU4HPY6xnkbNWqU/vnPf6qwsLBiycrK0qRJk7RkyRKv48XMJ598osOHDyszMzPmY100L7tEo1HNmTNHo0ePVkJCw5r2kCFDNGPGDLVp00Y5OTnatGmTnnjiCY0dO9braK5ZsmSJjDHq2rWrtm/frkmTJqlbt24aM2aM19HOybFjxyo9u9ixY4cKCwvVrFkztWnTRhMnTtSjjz6qzp07q3379poyZYqysrI0dOhQ70LXQ23zO3LkiHbv3l1x34utW7dKOn3WJ17O7tQ0x8zMTN12223auHGjFi1apEgkUnG9TrNmzZSYmOhV7DqraX7p6emaMWOGbrrpJmVmZurQoUOaNWuW9uzZEze3MKjtd/TMstioUSNlZGSoa9eutqOes5rm2KxZMz3yyCP6zne+o4yMDH388cd64IEH1KlTJw0cODD24Tx5j40HlixZYiSZrVu3eh3FdaFQyNxzzz2mTZs2Jjk52XTo0ME89NBDJhwOex3NNX/6059Mhw4dTGJiosnIyDDjx483xcXFXsc6Z2+99ZaRdNYyevRoY8zpt9tOmTLFtGrVyiQlJZkbbrghrn53a5vfnDlzqtz+8MMPe5q7Pmqa4+dvIa5qeeutt7yOXic1ze/EiRPmlltuMVlZWSYxMdFkZmaam266yaxbt87r2HVW2+/omeLxrbY1zbG0tNQMGDDAtGjRwjRq1Mi0bdvWfP/73zf79++3ks0xpgHdBhMAAFzwLqprPgAAgPcoHwAAwCrKBwAAsIryAQAArKJ8AAAAqygfAADAKsoHAACwivIBAACsonwAAACrKB8AAMAqygcAALCK8gEAAKz6/6cnDbXunJnmAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "def dist(X: np.ndarray, Y: np.ndarray) -> float:\n", " return np.sqrt((X-Y).T @ (X-Y))\n", "\n", "def knn(X_train: np.ndarray, k: int, X: np.ndarray, y: np.ndarray) -> int:\n", " distances = []\n", "\n", " for X_i in X_train:\n", " distances.append(dist(X_i, X))\n", "\n", " candidates = np.argsort(distances)[:k]\n", " return 1 if sum([y[c] for c in candidates]) > (len(candidates)/2) else 0\n", "\n", "from sklearn.datasets import make_blobs\n", "\n", "\n", "X1 = np.array([7,11])\n", "X2 = np.array([11,11])\n", "X3 = np.array([13,11])\n", "X4 = np.array([8,10])\n", "X5 = np.array([9,9])\n", "X6 = np.array([15,9])\n", "X7 = np.array([7,7])\n", "X8 = np.array([15,7])\n", "X9 = np.array([7,5])\n", "X10 = np.array([13,5])\n", "X11 = np.array([14,4])\n", "X12 = np.array([9,3])\n", "X13 = np.array([11,3])\n", "X14 = np.array([15,3])\n", "\n", "X = np.array([X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14])\n", "\n", "y = np.array([0,1,1,1,1,0,1,0,1,0,0,0,0,1])\n", "\n", "import matplotlib.pyplot as plt\n", "plt.scatter(X[:,0], X[:,1], c=y)\n", "\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 20, "id": "cccc5ba2-6feb-4691-a826-b13e4a0c0d64", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "def dist(X: np.ndarray, Y: np.ndarray) -> float:\n", " return np.sqrt((X-Y).T @ (X-Y))\n", "\n", "def knn(X_train: np.ndarray, k: int, X: np.ndarray, y: np.ndarray) -> int:\n", " distances = []\n", "\n", " for X_i in X_train:\n", " distances.append(dist(X_i, X))\n", "\n", " candidates = np.argsort(distances)[:k]\n", " return 1 if sum([y[c] for c in candidates]) > (len(candidates)/2) else 0\n", "\n", "# Data points\n", "X1 = np.array([7,11])\n", "X2 = np.array([11,11])\n", "X3 = np.array([13,11])\n", "X4 = np.array([8,10])\n", "X5 = np.array([9,9])\n", "X6 = np.array([15,9])\n", "X7 = np.array([7,7])\n", "X8 = np.array([15,7])\n", "X9 = np.array([7,5])\n", "X10 = np.array([13,5])\n", "X11 = np.array([14,4])\n", "X12 = np.array([9,3])\n", "X13 = np.array([11,3])\n", "X14 = np.array([15,3])\n", "\n", "X = np.array([X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14])\n", "y = np.array([0,1,1,1,1,0,1,0,1,0,0,0,0,1])\n", "#y = np.array([0,1,2,3,4,5,6,7,8,9,10,11,12,13])\n", "\n", "# Create a mesh of points to evaluate the decision boundary\n", "x_min, x_max = X[:, 0].min() - 1, X[:, 0].max() + 1\n", "y_min, y_max = X[:, 1].min() - 1, X[:, 1].max() + 1\n", "xx, yy = np.meshgrid(np.arange(x_min, x_max, 0.1),\n", " np.arange(y_min, y_max, 0.1))\n", "\n", "# Flatten the mesh and create test points\n", "mesh_points = np.c_[xx.ravel(), yy.ravel()]\n", "\n", "# Predict class for each point in the mesh\n", "Z = []\n", "for point in mesh_points:\n", " prediction = knn(X, 1, point, y)\n", " Z.append(prediction)\n", "\n", "Z = np.array(Z)\n", "Z = Z.reshape(xx.shape)\n", "\n", "# Create the plot\n", "plt.figure(figsize=(10, 8))\n", "\n", "# Plot the decision boundary as a contour\n", "plt.contourf(xx, yy, Z, levels=1, alpha=0.3, colors=['lightblue', 'lightcoral'])\n", "plt.contour(xx, yy, Z, levels=1, colors='black', linestyles='--', linewidths=1)\n", "\n", "# Plot the training data points\n", "colors = ['blue', 'red']\n", "labels = ['Class 0', 'Class 1']\n", "for i in range(2):\n", " mask = (y == i)\n", " plt.scatter(X[mask, 0], X[mask, 1], c=colors[i], label=labels[i], \n", " s=100, edgecolors='black', linewidth=1)\n", "\n", "plt.xlabel('X1')\n", "plt.ylabel('X2')\n", "plt.title('KNN Decision Boundary (k=1)')\n", "plt.legend()\n", "plt.grid(True, alpha=0.3)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "de440b8d-161a-4f4d-9e98-f87f070e103d", "metadata": {}, "source": [ "## voronoi" ] }, { "cell_type": "code", "execution_count": 21, "id": "36ce2ac9-d56c-4aef-b3ca-4f7ad826b5f8", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "def dist(X: np.ndarray, Y: np.ndarray) -> float:\n", " return np.sqrt((X-Y).T @ (X-Y))\n", "\n", "def knn(X_train: np.ndarray, k: int, X: np.ndarray, y: np.ndarray) -> int:\n", " distances = []\n", "\n", " for X_i in X_train:\n", " distances.append(dist(X_i, X))\n", "\n", " candidates = np.argsort(distances)[:k]\n", " # For k=1 with unique classes, just return the class of the nearest neighbor\n", " return y[candidates[0]]\n", "\n", "# Data points\n", "X1 = np.array([7,11])\n", "X2 = np.array([11,11])\n", "X3 = np.array([13,11])\n", "X4 = np.array([8,10])\n", "X5 = np.array([9,9])\n", "X6 = np.array([15,9])\n", "X7 = np.array([7,7])\n", "X8 = np.array([15,7])\n", "X9 = np.array([7,5])\n", "X10 = np.array([13,5])\n", "X11 = np.array([14,4])\n", "X12 = np.array([9,3])\n", "X13 = np.array([11,3])\n", "X14 = np.array([15,3])\n", "\n", "X = np.array([X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14])\n", "y = np.array([0,1,2,3,4,5,6,7,8,9,10,11,12,13]) # 14 unique classes\n", "\n", "# Create a mesh of points to evaluate the decision boundary\n", "x_min, x_max = X[:, 0].min() - 1, X[:, 0].max() + 1\n", "y_min, y_max = X[:, 1].min() - 1, X[:, 1].max() + 1\n", "xx, yy = np.meshgrid(np.arange(x_min, x_max, 0.1),\n", " np.arange(y_min, y_max, 0.1))\n", "\n", "# Flatten the mesh and create test points\n", "mesh_points = np.c_[xx.ravel(), yy.ravel()]\n", "\n", "# Predict class for each point in the mesh\n", "Z = []\n", "for point in mesh_points:\n", " prediction = knn(X, 1, point, y)\n", " Z.append(prediction)\n", "\n", "Z = np.array(Z)\n", "Z = Z.reshape(xx.shape)\n", "\n", "# Create the plot\n", "plt.figure(figsize=(12, 10))\n", "\n", "# Plot the decision boundary as a contour with many colors\n", "plt.contourf(xx, yy, Z, levels=np.arange(-0.5, 14.5, 1), alpha=0.6, cmap='tab20')\n", "\n", "# Plot the training data points with unique colors\n", "colors = plt.cm.tab20(np.linspace(0, 1, 14))\n", "for i in range(14):\n", " mask = (y == i)\n", " plt.scatter(X[mask, 0], X[mask, 1], c=[colors[i]], label=f'Point {i+1} (Class {i})', \n", " s=150, edgecolors='black', linewidth=2)\n", "\n", "plt.xlabel('X1')\n", "plt.ylabel('X2')\n", "plt.title('KNN Voronoi Tessellation (k=1, 14 unique classes)')\n", "plt.legend(bbox_to_anchor=(1.05, 1), loc='upper left')\n", "plt.grid(True, alpha=0.3)\n", "plt.tight_layout()\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "metal", "language": "python", "name": "metal" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.13" } }, "nbformat": 4, "nbformat_minor": 5 }