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udlbook committed Oct 10, 2023
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4 changes: 2 additions & 2 deletions Notebooks/Chap03/3_3_Shallow_Network_Regions.ipynb
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"metadata": {
"colab": {
"provenance": [],
"authorship_tag": "ABX9TyN/5in7dmMxKCsN/wAMWi0P",
"authorship_tag": "ABX9TyPCoVxVKyXd3JMSh4p0Bo+9",
"include_colab_link": true
},
"kernelspec": {
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"source": [
"The number of regions $N$ created by a shallow neural network with $D_i$ inputs and $D$ hidden units is given by Zaslavsky's formula:\n",
"\n",
"\\begin{equation}N = \\sum_{j=0}^{D_{i}}\\binom{D}{j}=\\sum_{j=1}^{D_{i}} \\frac{D!}{(D-j)!j!} \\end{equation} <br>\n",
"\\begin{equation}N = \\sum_{j=0}^{D_{i}}\\binom{D}{j}=\\sum_{j=0}^{D_{i}} \\frac{D!}{(D-j)!j!} \\end{equation} <br>\n",
"\n"
],
"metadata": {
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