tahamajs's picture
download
raw
51.9 kB
{
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from scipy.stats import cauchy\n",
"\n",
"\n",
"x = np.linspace(-10, 10, 100)\n",
"a1 = 3\n",
"a2 = 5\n",
"b = 1\n",
"\n",
"y1 = cauchy.pdf(x, a1, b)\n",
"y2 = cauchy.pdf(x, a2, b)\n",
"\n",
"plt.plot(x, y1 / (y1 + y2), label='P(w1 | x)')\n",
"plt.plot(x, y2 / (y1 + y2), label='P(w2 | x)')\n",
"\n",
"plt.xlabel('x')\n",
"plt.ylabel('probability')\n",
"plt.title('Posterior Probabilities')\n",
"\n",
"plt.legend()\n",
"plt.grid()\n",
"plt.savefig('../assets/Q1_posterior.png')\n"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "base",
"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": "3.11.5"
}
},
"nbformat": 4,
"nbformat_minor": 2
}

Xet Storage Details

Size:
51.9 kB
·
Xet hash:
35e7c89d618595000e642aedd60775319b8d8a0293255e9a2e0650f3f0d0a89e

Xet efficiently stores files, intelligently splitting them into unique chunks and accelerating uploads and downloads. More info.