2024-08-11 13:02:16 -04:00

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{
"cells": [
{
"cell_type": "markdown",
"id": "134e7f9d",
"metadata": {},
"source": [
"# API 1: Indexing"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "2075ef56",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"checkpoint directory created: ./model\n",
"saving model version 0.0\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 500x600 with 21 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from kan import *\n",
"\n",
"model = KAN(width=[2,3,2,1], noise_scale=0.3)\n",
"x = torch.normal(0,1,size=(100,2))\n",
"model(x);\n",
"beta = 100\n",
"model.plot(beta=beta)\n",
"# [2,3,2,1] means 2 input nodes\n",
"# 3 neurons in the first hidden layer,\n",
"# 2 neurons in the second hidden layer,\n",
"# 1 output node"
]
},
{
"cell_type": "markdown",
"id": "c47ccd2b",
"metadata": {},
"source": [
"### Indexing of edges (activation functions)"
]
},
{
"cell_type": "markdown",
"id": "8c30add2",
"metadata": {},
"source": [
"Each activation function is indexed by $(l,i,j)$ where $l$ is the layer index, $i$ is the input neuron index, $j$ is the output neuron index. All of them starts from 0. For example, the one in the bottom left corner is (0, 0, 0). Let's try to make it symbolic and see it turns red."
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "c95dbc78",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"r2 is 0.8804945945739746\n",
"r2 is not very high, please double check if you are choosing the correct symbolic function.\n",
"saving model version 0.1\n",
"saving model version 0.2\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 500x600 with 21 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"model.fix_symbolic(0,0,0,'sin')\n",
"model.plot(beta=beta)\n",
"model.unfix_symbolic(0,0,0)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "bf721202",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"r2 is 0.4568130671977997\n",
"r2 is not very high, please double check if you are choosing the correct symbolic function.\n",
"saving model version 0.3\n",
"saving model version 0.4\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 500x600 with 21 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"model.fix_symbolic(0,0,1,'sin')\n",
"model.plot(beta=beta)\n",
"model.unfix_symbolic(0,0,1)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "1e7cd4a8",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"r2 is 0.9679957628250122\n",
"saving model version 0.5\n",
"saving model version 0.6\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 500x600 with 21 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"model.fix_symbolic(0,1,0,'sin')\n",
"model.plot(beta=beta)\n",
"model.unfix_symbolic(0,1,0)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "18e0baa2",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"r2 is 0.9975859522819519\n",
"saving model version 0.7\n",
"saving model version 0.8\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 500x600 with 21 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"model.fix_symbolic(1,0,0,'sin')\n",
"model.plot(beta=beta)\n",
"model.unfix_symbolic(1,0,0)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "50eb8f8c",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"r2 is 0.9999952912330627\n",
"saving model version 0.9\n",
"saving model version 0.10\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 500x600 with 21 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"model.fix_symbolic(2,1,0,'sin')\n",
"model.plot(beta=beta)\n",
"model.unfix_symbolic(2,1,0)"
]
},
{
"cell_type": "markdown",
"id": "960e5447",
"metadata": {},
"source": [
"### Indexing of nodes (neurons)"
]
},
{
"cell_type": "markdown",
"id": "f4a7880f",
"metadata": {},
"source": [
"Each neuron (node) is indexed by $(l,i)$ where $l$ is the layer index along depth, $i$ is the neuron index along width. In the function remove_node, we use use $(l,i)$ to indicate which node we want to remove."
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "c9e70d77",
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"saving model version 0.11\n"
]
}
],
"source": [
"model.remove_node(1,0)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "a22c9e31",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 500x600 with 21 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"model.plot(beta=beta)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "44553b6a",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"saving model version 0.12\n"
]
}
],
"source": [
"model.remove_node(2,1)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "7c9b491a",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 500x600 with 21 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"model.plot(beta=beta)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "7b24fcdb",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"saving model version 0.13\n"
]
}
],
"source": [
"model.remove_node(1,2)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "0a7e9373",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 500x600 with 21 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"model.plot(beta=beta)"
]
},
{
"cell_type": "markdown",
"id": "9ee64af1",
"metadata": {},
"source": [
"### Indexing of layers"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "4c732dfc",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"checkpoint directory created: ./model\n",
"saving model version 0.0\n",
"2 3\n",
"2 3\n",
"3 5\n",
"3 5\n",
"5 1\n",
"5 1\n"
]
}
],
"source": [
"# KAN spline layers are refererred to as act_fun\n",
"# KAN symbolic layers are referred to as symbolic_fun\n",
"\n",
"model = KAN(width=[2,3,5,1])\n",
"\n",
"i = 0\n",
"model.act_fun[i] # => KAN Layer (Spline)\n",
"model.symbolic_fun[i] # => KAN Layer (Symbolic)\n",
"\n",
"for i in range(3):\n",
" print(model.act_fun[i].in_dim, model.act_fun[i].out_dim)\n",
" print(model.symbolic_fun[i].in_dim, model.symbolic_fun[i].out_dim)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "1f0ccc8f",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Parameter containing:\n",
"tensor([[0., 0., 0., 0., 0.]])"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# check model parameters\n",
"model.act_fun[i].grid\n",
"model.act_fun[i].coef\n",
"model.symbolic_fun[i].funs_name\n",
"model.symbolic_fun[i].mask"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.9.7"
}
},
"nbformat": 4,
"nbformat_minor": 5
}