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udlbook
2025-11-27 16:16:07 -05:00
parent afb9ead4d8
commit 01755deefe
1 changed files with 17 additions and 17 deletions
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34
notebooks/ShallowNN/LinearRegions_Answers.ipynb
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@@ -4,7 +4,7 @@
"metadata": { "metadata": {
"colab": { "colab": {
"provenance": [], "provenance": [],
"authorship_tag": "ABX9TyNzwsksM8IfDPg9DEiV++cL", "authorship_tag": "ABX9TyORO/RUktvUyRPd9NT1GOoz",
"include_colab_link": true "include_colab_link": true
}, },
"kernelspec": { "kernelspec": {
@@ -87,15 +87,10 @@
"outputs": [], "outputs": [],
"source": [ "source": [
"def number_regions(Di, D):\n", "def number_regions(Di, D):\n",
" # TODO -- implement Zaslavsky's formula\n", "\n",
" # Tou can use math.comb() https://www.w3schools.com/python/ref_math_comb.asp\n",
" # Replace this code\n",
" N = 1;\n",
" # BEGIN_ANSWER\n",
" N= 0\n", " N= 0\n",
" for j in range (Di+1):\n", " for j in range (Di+1):\n",
" N = N+ math.comb(D, j)\n", " N = N+ math.comb(D, j)\n",
" # END_ANSWER\n",
"\n", "\n",
" return N" " return N"
] ]
@@ -306,18 +301,14 @@
"# First let's write a function that computes the number of parameters as a function of the input dimension and number of hidden units (assuming just one output)\n", "# First let's write a function that computes the number of parameters as a function of the input dimension and number of hidden units (assuming just one output)\n",
"\n", "\n",
"def number_parameters(D_i, D):\n", "def number_parameters(D_i, D):\n",
" # TODO -- replace this code with the proper calculation\n", " N = D_i * D + D + D + 1\n",
" N = 1\n",
" # BEGIN_ANSWER\n",
" N = D_i * D +D + D + 1\n",
" # END_ANSWER\n",
"\n", "\n",
" return N ;" " return N ;"
], ],
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"execution_count": 22, "execution_count": 25,
"outputs": [] "outputs": []
}, },
{ {
@@ -332,9 +323,9 @@
"base_uri": "https://localhost:8080/" "base_uri": "https://localhost:8080/"
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"outputs": [ "outputs": [
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@@ -382,9 +373,9 @@
"height": 541 "height": 541
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"execution_count": 24, "execution_count": 27,
"outputs": [ "outputs": [
{ {
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@@ -408,6 +399,15 @@
"metadata": {} "metadata": {}
} }
] ]
},
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"outputs": []
} }
] ]
} }