333 lines
143 KiB
Plaintext
333 lines
143 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"id": "134e7f9d",
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"metadata": {},
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"source": [
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"# Interpretability 11: sparse initialization"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"id": "7fe675c2",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 500x400 with 41 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"from kan.compiler import sf2kan\n",
|
|
"from kan.feynman import get_feynman_dataset\n",
|
|
"from kan.utils import create_dataset, ex_round\n",
|
|
"import torch\n",
|
|
"from kan.MultKAN import MultKAN\n",
|
|
"from sympy import *\n",
|
|
"\n",
|
|
"torch.set_default_dtype(torch.float64)\n",
|
|
"torch.use_deterministic_algorithms(True)\n",
|
|
"\n",
|
|
"problem_id = 12\n",
|
|
"input_variables, expr, f, ranges = get_feynman_dataset(problem_id)\n",
|
|
"n_var = len(input_variables)\n",
|
|
"model = sf2kan(input_variables, expr, grid=10, k=3)\n",
|
|
"\n",
|
|
"dataset = create_dataset(f, n_var=n_var, ranges=ranges)\n",
|
|
"model(dataset['train_input'], singularity_avoiding=True)\n",
|
|
"model.plot(in_vars=input_variables, out_vars=[expr], beta=10000, title='P{}'.format(problem_id))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 2,
|
|
"id": "24b59260",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Directory already exists: ./P12\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"model = MultKAN([5,[3,1],[0,1]], mult_arity=[[],[3],[2]], grid=3, k=3, seed=0, base_fun='identity', sparse_init=True, noise_scale=1.0, ckpt_path='./P12')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 3,
|
|
"id": "fa4b78a3",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 500x400 with 49 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"model(dataset['train_input'])\n",
|
|
"model.plot()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 4,
|
|
"id": "74ff6caa",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stderr",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"train loss: 7.70e-03 | test loss: 9.69e-03 | reg: 1.29e+01 : 100%|█| 100/100 [01:06<00:00, 1.51it/s\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"model.train(dataset, opt=\"LBFGS\", steps=100, lamb=1e-4, lamb_coef=1.0);"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"id": "356fb248",
|
|
"metadata": {
|
|
"scrolled": true
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 500x400 with 49 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"model.plot(beta=3)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"id": "ec5f5b89",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"model = model.prune()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"id": "a2f16cc9",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 500x400 with 41 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"model.plot()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 8,
|
|
"id": "ec444745",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"fixing (0,0,0) with x, r2=0.9999979150782834, c=1\n",
|
|
"fixing (0,0,1) with 0, r2=-100000000.0, c=0\n",
|
|
"fixing (0,0,2) with 0, r2=-100000000.0, c=0\n",
|
|
"fixing (0,0,3) with 0, r2=-100000000.0, c=0\n",
|
|
"fixing (0,0,4) with 0, r2=-100000000.0, c=0\n",
|
|
"fixing (0,1,0) with 0, r2=-100000000.0, c=0\n",
|
|
"fixing (0,1,1) with tan, r2=0.9999936863649151, c=2\n",
|
|
"fixing (0,1,2) with 0, r2=-100000000.0, c=0\n",
|
|
"fixing (0,1,3) with 0, r2=-100000000.0, c=0\n",
|
|
"fixing (0,1,4) with 0, r2=-100000000.0, c=0\n",
|
|
"fixing (0,2,0) with 0, r2=-100000000.0, c=0\n",
|
|
"fixing (0,2,1) with 0, r2=-100000000.0, c=0\n",
|
|
"fixing (0,2,2) with x, r2=0.9993636064566506, c=1\n",
|
|
"fixing (0,2,3) with 0, r2=-100000000.0, c=0\n",
|
|
"fixing (0,2,4) with 0, r2=-100000000.0, c=0\n",
|
|
"fixing (0,3,0) with 0, r2=-100000000.0, c=0\n",
|
|
"fixing (0,3,1) with 0, r2=-100000000.0, c=0\n",
|
|
"fixing (0,3,2) with 0, r2=-100000000.0, c=0\n",
|
|
"fixing (0,3,3) with x, r2=0.9996979180008072, c=1\n",
|
|
"fixing (0,3,4) with 0, r2=-100000000.0, c=0\n",
|
|
"fixing (0,4,0) with 0, r2=-100000000.0, c=0\n",
|
|
"fixing (0,4,1) with 0, r2=-100000000.0, c=0\n",
|
|
"fixing (0,4,2) with 0, r2=-100000000.0, c=0\n",
|
|
"fixing (0,4,3) with 0, r2=-100000000.0, c=0\n",
|
|
"fixing (0,4,4) with sin, r2=0.9967792201361262, c=2\n",
|
|
"fixing (1,0,0) with 0, r2=-100000000.0, c=0\n",
|
|
"fixing (1,0,1) with x, r2=0.9999990648709001, c=1\n",
|
|
"fixing (1,1,0) with x^2, r2=0.9999984847516709, c=2\n",
|
|
"fixing (1,1,1) with 0, r2=-100000000.0, c=0\n",
|
|
"fixing (1,2,0) with x, r2=0.9993420994514688, c=1\n",
|
|
"fixing (1,2,1) with 0, r2=-100000000.0, c=0\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"model.auto_symbolic()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
|
"id": "b4548a98",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Best value at boundary.\n",
|
|
"r2 is 0.9998565444586908\n",
|
|
"Best value at boundary.\n",
|
|
"r2 is 0.9998727075938469\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"tensor(0.9999)"
|
|
]
|
|
},
|
|
"execution_count": 9,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"model.unfix_symbolic(0,1,1)\n",
|
|
"model.fix_symbolic(0,1,1,'x')\n",
|
|
"model.unfix_symbolic(1,1,0)\n",
|
|
"model.fix_symbolic(1,1,0,'x')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"id": "604ba93b",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stderr",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"train loss: 8.49e-11 | test loss: 8.39e-11 | reg: 0.00e+00 : 100%|█| 100/100 [00:09<00:00, 10.88it/s\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"model.train(dataset, opt=\"LBFGS\", steps=100);"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"id": "086e154c",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/latex": [
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"$\\displaystyle 1.0 \\cdot \\left(6.83579304272541 \\cdot 10^{-11} - 2.49694219835062 q\\right) \\left(- 0.400489847469402 E_{f} - 1.66784285791585 \\left(- 0.630201415640881 B - 8.90496002674615 \\cdot 10^{-11}\\right) \\left(- 1.50346887751584 v - 3.17379694574071 \\cdot 10^{-11}\\right) \\left(0.253432649888235 \\sin{\\left(0.999999999861801 \\theta + 5.36656980547405 \\cdot 10^{-10} \\right)} + 8.22262570532306 \\cdot 10^{-12}\\right) - 1.9070718962344 \\cdot 10^{-11}\\right)$"
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],
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"text/plain": [
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"1.0*(6.83579304272541e-11 - 2.49694219835062*q)*(-0.400489847469402*E_f - 1.66784285791585*(-0.630201415640881*B - 8.90496002674615e-11)*(-1.50346887751584*v - 3.17379694574071e-11)*(0.253432649888235*sin(0.999999999861801*theta + 5.36656980547405e-10) + 8.22262570532306e-12) - 1.9070718962344e-11)"
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]
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},
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"execution_count": 11,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"sf = model.symbolic_formula(var=input_variables)[0][0]\n",
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"sf"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 12,
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"id": "08e6a7d9",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/latex": [
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"$\\displaystyle q \\left(B v \\sin{\\left(\\theta \\right)} + E_{f}\\right)$"
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],
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"text/plain": [
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"q*(B*v*sin(theta) + E_f)"
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]
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},
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"execution_count": 12,
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"metadata": {},
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"output_type": "execute_result"
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}
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|
],
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"source": [
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"simplify(nsimplify(ex_round(ex_round(ex_round(ex_round(sf, 5), 5), 3), 2)))"
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]
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}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Python 3 (ipykernel)",
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"language": "python",
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"name": "python3"
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},
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"language_info": {
|
|
"codemirror_mode": {
|
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"name": "ipython",
|
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"version": 3
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|
},
|
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"file_extension": ".py",
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"mimetype": "text/x-python",
|
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.9.7"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 5
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|
}
|