Function_Interpolation_Test.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "42f4d42c-5031-42fe-823b-cf081c6c39b3",
   "metadata": {},
   "source": [
    "## Compare ChebyKAN's ability in function interpolation with MLP"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "ba21816f-6c40-4eb3-9026-0a5447c7ddaa",
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch\n",
    "import torch.nn as nn\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import time\n",
    "from ChebyKANLayer import ChebyKANLayer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "77be1338-6ad0-48d3-b1da-eb8555ce1be4",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define target function\n",
    "def target_function(x):\n",
    "    y = np.zeros_like(x)\n",
    "    mask1 = x < 0.5\n",
    "    y[mask1] = np.sin(20 * np.pi * x[mask1]) + x[mask1] ** 2\n",
    "    mask2 = (0.5 <= x) & (x < 1.5)\n",
    "    y[mask2] = 0.5 * x[mask2] * np.exp(-x[mask2]) + np.abs(np.sin(5 * np.pi * x[mask2]))\n",
    "    mask3 = x >= 1.5\n",
    "    y[mask3] = np.log(x[mask3] - 1) / np.log(2) - np.cos(2 * np.pi * x[mask3])\n",
    "\n",
    "    # add noise\n",
    "    noise = np.random.normal(0, 0.2, y.shape)\n",
    "    y += noise\n",
    "    \n",
    "    return y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "3a884345-97ef-4a28-8108-736e423b84fe",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define MLP and ChebyKAN\n",
    "class SimpleMLP(nn.Module):\n",
    "    def __init__(self):\n",
    "        super(SimpleMLP, self).__init__()\n",
    "        self.layers = nn.Sequential(\n",
    "            nn.Linear(1, 128),\n",
    "            nn.Tanh(),\n",
    "            nn.Linear(128, 1),\n",
    "        )\n",
    "\n",
    "    def forward(self, x):\n",
    "        return self.layers(x-1) # centralize the input\n",
    "\n",
    "\n",
    "class ChebyKAN(nn.Module):\n",
    "    def __init__(self):\n",
    "        super(ChebyKAN, self).__init__()\n",
    "        self.chebykan1 = ChebyKANLayer(1, 8, 8)\n",
    "        self.chebykan2 = ChebyKANLayer(8, 1, 8)\n",
    "\n",
    "    def forward(self, x):\n",
    "        x = self.chebykan1(x)\n",
    "        x = self.chebykan2(x)\n",
    "        return x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "8c146f7a-33fc-40d7-b538-ce7a7e8cfc59",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 1/200000, ChebyKAN Loss: 2.1101, MLP Loss: 0.6668\n",
      "Epoch 101/200000, ChebyKAN Loss: 0.1520, MLP Loss: 0.2611\n",
      "Epoch 201/200000, ChebyKAN Loss: 0.1300, MLP Loss: 0.2584\n",
      "Epoch 301/200000, ChebyKAN Loss: 0.0851, MLP Loss: 0.2557\n",
      "Epoch 401/200000, ChebyKAN Loss: 0.0773, MLP Loss: 0.2529\n",
      "Epoch 501/200000, ChebyKAN Loss: 0.0736, MLP Loss: 0.2503\n",
      "Epoch 601/200000, ChebyKAN Loss: 0.0724, MLP Loss: 0.2487\n",
      "Epoch 701/200000, ChebyKAN Loss: 0.0714, MLP Loss: 0.2480\n",
      "Epoch 801/200000, ChebyKAN Loss: 0.0708, MLP Loss: 0.2476\n",
      "Epoch 901/200000, ChebyKAN Loss: 0.0711, MLP Loss: 0.2472\n",
      "Epoch 1001/200000, ChebyKAN Loss: 0.0772, MLP Loss: 0.2469\n",
      "Epoch 1101/200000, ChebyKAN Loss: 0.0703, MLP Loss: 0.2466\n",
      "Epoch 1201/200000, ChebyKAN Loss: 0.0688, MLP Loss: 0.2464\n",
      "Epoch 1301/200000, ChebyKAN Loss: 0.0680, MLP Loss: 0.2468\n",
      "Epoch 1401/200000, ChebyKAN Loss: 0.0663, MLP Loss: 0.2460\n",
      "Epoch 1501/200000, ChebyKAN Loss: 0.0642, MLP Loss: 0.2458\n",
      "Epoch 1601/200000, ChebyKAN Loss: 0.0599, MLP Loss: 0.2471\n",
      "Epoch 1701/200000, ChebyKAN Loss: 0.0582, MLP Loss: 0.2452\n",
      "Epoch 1801/200000, ChebyKAN Loss: 0.0565, MLP Loss: 0.2451\n",
      "Epoch 1901/200000, ChebyKAN Loss: 0.0571, MLP Loss: 0.2453\n",
      "Epoch 2001/200000, ChebyKAN Loss: 0.0552, MLP Loss: 0.2448\n",
      "Epoch 2101/200000, ChebyKAN Loss: 0.0553, MLP Loss: 0.2452\n",
      "Epoch 2201/200000, ChebyKAN Loss: 0.0544, MLP Loss: 0.2446\n",
      "Epoch 2301/200000, ChebyKAN Loss: 0.0814, MLP Loss: 0.2446\n",
      "Epoch 2401/200000, ChebyKAN Loss: 0.0537, MLP Loss: 0.2444\n",
      "Epoch 2501/200000, ChebyKAN Loss: 0.0532, MLP Loss: 0.2443\n",
      "Epoch 2601/200000, ChebyKAN Loss: 0.0527, MLP Loss: 0.2456\n",
      "Epoch 2701/200000, ChebyKAN Loss: 0.0524, MLP Loss: 0.2443\n",
      "Epoch 2801/200000, ChebyKAN Loss: 0.0519, MLP Loss: 0.2440\n",
      "Epoch 2901/200000, ChebyKAN Loss: 0.0515, MLP Loss: 0.2450\n",
      "Epoch 3001/200000, ChebyKAN Loss: 0.0509, MLP Loss: 0.2438\n",
      "Epoch 3101/200000, ChebyKAN Loss: 0.0517, MLP Loss: 0.2436\n",
      "Epoch 3201/200000, ChebyKAN Loss: 0.0496, MLP Loss: 0.2438\n",
      "Epoch 3301/200000, ChebyKAN Loss: 0.0488, MLP Loss: 0.2431\n",
      "Epoch 3401/200000, ChebyKAN Loss: 0.0480, MLP Loss: 0.2430\n",
      "Epoch 3501/200000, ChebyKAN Loss: 0.0476, MLP Loss: 0.2426\n",
      "Epoch 3601/200000, ChebyKAN Loss: 0.0467, MLP Loss: 0.2421\n",
      "Epoch 3701/200000, ChebyKAN Loss: 0.0464, MLP Loss: 0.2450\n",
      "Epoch 3801/200000, ChebyKAN Loss: 0.0462, MLP Loss: 0.2462\n",
      "Epoch 3901/200000, ChebyKAN Loss: 0.0460, MLP Loss: 0.2365\n",
      "Epoch 4001/200000, ChebyKAN Loss: 0.0459, MLP Loss: 0.2335\n",
      "Epoch 4101/200000, ChebyKAN Loss: 0.0480, MLP Loss: 0.2310\n",
      "Epoch 4201/200000, ChebyKAN Loss: 0.0455, MLP Loss: 0.2285\n",
      "Epoch 4301/200000, ChebyKAN Loss: 0.0454, MLP Loss: 0.2260\n",
      "Epoch 4401/200000, ChebyKAN Loss: 0.0453, MLP Loss: 0.2235\n",
      "Epoch 4501/200000, ChebyKAN Loss: 0.0451, MLP Loss: 0.2221\n",
      "Epoch 4601/200000, ChebyKAN Loss: 0.0450, MLP Loss: 0.2214\n",
      "Epoch 4701/200000, ChebyKAN Loss: 0.0448, MLP Loss: 0.2213\n",
      "Epoch 4801/200000, ChebyKAN Loss: 0.0447, MLP Loss: 0.2206\n",
      "Epoch 4901/200000, ChebyKAN Loss: 0.0446, MLP Loss: 0.2207\n",
      "Epoch 5001/200000, ChebyKAN Loss: 0.0444, MLP Loss: 0.2201\n",
      "Epoch 5101/200000, ChebyKAN Loss: 0.0455, MLP Loss: 0.2198\n",
      "Epoch 5201/200000, ChebyKAN Loss: 0.0444, MLP Loss: 0.2196\n",
      "Epoch 5301/200000, ChebyKAN Loss: 0.0441, MLP Loss: 0.2194\n",
      "Epoch 5401/200000, ChebyKAN Loss: 0.0503, MLP Loss: 0.2193\n",
      "Epoch 5501/200000, ChebyKAN Loss: 0.0439, MLP Loss: 0.2190\n",
      "Epoch 5601/200000, ChebyKAN Loss: 0.0438, MLP Loss: 0.2190\n",
      "Epoch 5701/200000, ChebyKAN Loss: 0.0437, MLP Loss: 0.2185\n",
      "Epoch 5801/200000, ChebyKAN Loss: 0.0437, MLP Loss: 0.2186\n",
      "Epoch 5901/200000, ChebyKAN Loss: 0.0437, MLP Loss: 0.2181\n",
      "Epoch 6001/200000, ChebyKAN Loss: 0.0436, MLP Loss: 0.2180\n",
      "Epoch 6101/200000, ChebyKAN Loss: 0.0436, MLP Loss: 0.2177\n",
      "Epoch 6201/200000, ChebyKAN Loss: 0.0435, MLP Loss: 0.2174\n",
      "Epoch 6301/200000, ChebyKAN Loss: 0.0437, MLP Loss: 0.2176\n",
      "Epoch 6401/200000, ChebyKAN Loss: 0.0453, MLP Loss: 0.2169\n",
      "Epoch 6501/200000, ChebyKAN Loss: 0.0435, MLP Loss: 0.2166\n",
      "Epoch 6601/200000, ChebyKAN Loss: 0.0438, MLP Loss: 0.2163\n",
      "Epoch 6701/200000, ChebyKAN Loss: 0.0438, MLP Loss: 0.2159\n",
      "Epoch 6801/200000, ChebyKAN Loss: 0.0434, MLP Loss: 0.2157\n",
      "Epoch 6901/200000, ChebyKAN Loss: 0.0443, MLP Loss: 0.2160\n",
      "Epoch 7001/200000, ChebyKAN Loss: 0.0433, MLP Loss: 0.2147\n",
      "Epoch 7101/200000, ChebyKAN Loss: 0.0433, MLP Loss: 0.2142\n",
      "Epoch 7201/200000, ChebyKAN Loss: 0.0434, MLP Loss: 0.2138\n",
      "Epoch 7301/200000, ChebyKAN Loss: 0.0439, MLP Loss: 0.2133\n",
      "Epoch 7401/200000, ChebyKAN Loss: 0.0432, MLP Loss: 0.2128\n",
      "Epoch 7501/200000, ChebyKAN Loss: 0.0432, MLP Loss: 0.2122\n",
      "Epoch 7601/200000, ChebyKAN Loss: 0.0437, MLP Loss: 0.2128\n",
      "Epoch 7701/200000, ChebyKAN Loss: 0.0431, MLP Loss: 0.2115\n",
      "Epoch 7801/200000, ChebyKAN Loss: 0.0431, MLP Loss: 0.2124\n",
      "Epoch 7901/200000, ChebyKAN Loss: 0.0433, MLP Loss: 0.2101\n",
      "Epoch 8001/200000, ChebyKAN Loss: 0.0430, MLP Loss: 0.2258\n",
      "Epoch 8101/200000, ChebyKAN Loss: 0.0430, MLP Loss: 0.2092\n",
      "Epoch 8201/200000, ChebyKAN Loss: 0.0429, MLP Loss: 0.2100\n",
      "Epoch 8301/200000, ChebyKAN Loss: 0.0430, MLP Loss: 0.2084\n",
      "Epoch 8401/200000, ChebyKAN Loss: 0.0428, MLP Loss: 0.2160\n",
      "Epoch 8501/200000, ChebyKAN Loss: 0.0430, MLP Loss: 0.2084\n",
      "Epoch 8601/200000, ChebyKAN Loss: 0.0428, MLP Loss: 0.2076\n",
      "Epoch 8701/200000, ChebyKAN Loss: 0.0429, MLP Loss: 0.2068\n",
      "Epoch 8801/200000, ChebyKAN Loss: 0.0427, MLP Loss: 0.2085\n",
      "Epoch 8901/200000, ChebyKAN Loss: 0.0427, MLP Loss: 0.2072\n",
      "Epoch 9001/200000, ChebyKAN Loss: 0.0426, MLP Loss: 0.2062\n",
      "Epoch 9101/200000, ChebyKAN Loss: 0.0425, MLP Loss: 0.2060\n",
      "Epoch 9201/200000, ChebyKAN Loss: 0.0425, MLP Loss: 0.2059\n",
      "Epoch 9301/200000, ChebyKAN Loss: 0.0424, MLP Loss: 0.2057\n",
      "Epoch 9401/200000, ChebyKAN Loss: 0.0424, MLP Loss: 0.2055\n",
      "Epoch 9501/200000, ChebyKAN Loss: 0.0423, MLP Loss: 0.2054\n",
      "Epoch 9601/200000, ChebyKAN Loss: 0.0422, MLP Loss: 0.2057\n",
      "Epoch 9701/200000, ChebyKAN Loss: 0.0421, MLP Loss: 0.2050\n",
      "Epoch 9801/200000, ChebyKAN Loss: 0.0424, MLP Loss: 0.2049\n",
      "Epoch 9901/200000, ChebyKAN Loss: 0.0419, MLP Loss: 0.2047\n",
      "Epoch 10001/200000, ChebyKAN Loss: 0.0418, MLP Loss: 0.2045\n",
      "Epoch 10101/200000, ChebyKAN Loss: 0.0458, MLP Loss: 0.2053\n",
      "Epoch 10201/200000, ChebyKAN Loss: 0.0415, MLP Loss: 0.2042\n",
      "Epoch 10301/200000, ChebyKAN Loss: 0.0415, MLP Loss: 0.2041\n",
      "Epoch 10401/200000, ChebyKAN Loss: 0.0414, MLP Loss: 0.2039\n",
      "Epoch 10501/200000, ChebyKAN Loss: 0.0414, MLP Loss: 0.2039\n",
      "Epoch 10601/200000, ChebyKAN Loss: 0.0414, MLP Loss: 0.2036\n",
      "Epoch 10701/200000, ChebyKAN Loss: 0.0413, MLP Loss: 0.2035\n",
      "Epoch 10801/200000, ChebyKAN Loss: 0.0413, MLP Loss: 0.2033\n",
      "Epoch 10901/200000, ChebyKAN Loss: 0.0419, MLP Loss: 0.2036\n",
      "Epoch 11001/200000, ChebyKAN Loss: 0.0413, MLP Loss: 0.2030\n",
      "Epoch 11101/200000, ChebyKAN Loss: 0.0413, MLP Loss: 0.2028\n",
      "Epoch 11201/200000, ChebyKAN Loss: 0.0423, MLP Loss: 0.2026\n",
      "Epoch 11301/200000, ChebyKAN Loss: 0.0412, MLP Loss: 0.2027\n",
      "Epoch 11401/200000, ChebyKAN Loss: 0.0412, MLP Loss: 0.2029\n",
      "Epoch 11501/200000, ChebyKAN Loss: 0.0412, MLP Loss: 0.2020\n",
      "Epoch 11601/200000, ChebyKAN Loss: 0.0412, MLP Loss: 0.2018\n",
      "Epoch 11701/200000, ChebyKAN Loss: 0.0412, MLP Loss: 0.2015\n",
      "Epoch 11801/200000, ChebyKAN Loss: 0.0412, MLP Loss: 0.2016\n",
      "Epoch 11901/200000, ChebyKAN Loss: 0.0412, MLP Loss: 0.2075\n",
      "Epoch 12001/200000, ChebyKAN Loss: 0.0411, MLP Loss: 0.2046\n",
      "Epoch 12101/200000, ChebyKAN Loss: 0.0411, MLP Loss: 0.2005\n",
      "Epoch 12201/200000, ChebyKAN Loss: 0.0411, MLP Loss: 0.2044\n",
      "Epoch 12301/200000, ChebyKAN Loss: 0.0417, MLP Loss: 0.2002\n",
      "Epoch 12401/200000, ChebyKAN Loss: 0.0411, MLP Loss: 0.2001\n",
      "Epoch 12501/200000, ChebyKAN Loss: 0.0411, MLP Loss: 0.1998\n",
      "Epoch 12601/200000, ChebyKAN Loss: 0.0411, MLP Loss: 0.1995\n",
      "Epoch 12701/200000, ChebyKAN Loss: 0.0411, MLP Loss: 0.2192\n",
      "Epoch 12801/200000, ChebyKAN Loss: 0.0411, MLP Loss: 0.1982\n",
      "Epoch 12901/200000, ChebyKAN Loss: 0.0411, MLP Loss: 0.1979\n",
      "Epoch 13001/200000, ChebyKAN Loss: 0.0412, MLP Loss: 0.1976\n",
      "Epoch 13101/200000, ChebyKAN Loss: 0.0411, MLP Loss: 0.1972\n",
      "Epoch 13201/200000, ChebyKAN Loss: 0.0410, MLP Loss: 0.1968\n",
      "Epoch 13301/200000, ChebyKAN Loss: 0.0410, MLP Loss: 0.1965\n",
      "Epoch 13401/200000, ChebyKAN Loss: 0.0410, MLP Loss: 0.1960\n",
      "Epoch 13501/200000, ChebyKAN Loss: 0.0409, MLP Loss: 0.2057\n",
      "Epoch 13601/200000, ChebyKAN Loss: 0.0410, MLP Loss: 0.1951\n",
      "Epoch 13701/200000, ChebyKAN Loss: 0.0420, MLP Loss: 0.1947\n",
      "Epoch 13801/200000, ChebyKAN Loss: 0.0409, MLP Loss: 0.1954\n",
      "Epoch 13901/200000, ChebyKAN Loss: 0.0409, MLP Loss: 0.1935\n",
      "Epoch 14001/200000, ChebyKAN Loss: 0.0412, MLP Loss: 0.1936\n",
      "Epoch 14101/200000, ChebyKAN Loss: 0.0414, MLP Loss: 0.2028\n",
      "Epoch 14201/200000, ChebyKAN Loss: 0.0408, MLP Loss: 0.1917\n",
      "Epoch 14301/200000, ChebyKAN Loss: 0.0408, MLP Loss: 0.5113\n",
      "Epoch 14401/200000, ChebyKAN Loss: 0.0408, MLP Loss: 0.1911\n",
      "Epoch 14501/200000, ChebyKAN Loss: 0.0411, MLP Loss: 0.1909\n",
      "Epoch 14601/200000, ChebyKAN Loss: 0.0410, MLP Loss: 0.1907\n",
      "Epoch 14701/200000, ChebyKAN Loss: 0.0407, MLP Loss: 0.1904\n",
      "Epoch 14801/200000, ChebyKAN Loss: 0.0407, MLP Loss: 0.1902\n",
      "Epoch 14901/200000, ChebyKAN Loss: 0.0406, MLP Loss: 0.1899\n",
      "Epoch 15001/200000, ChebyKAN Loss: 0.0406, MLP Loss: 0.1897\n",
      "Epoch 15101/200000, ChebyKAN Loss: 0.0406, MLP Loss: 0.1894\n",
      "Epoch 15201/200000, ChebyKAN Loss: 0.0406, MLP Loss: 0.1892\n",
      "Epoch 15301/200000, ChebyKAN Loss: 0.0405, MLP Loss: 0.1889\n",
      "Epoch 15401/200000, ChebyKAN Loss: 0.0408, MLP Loss: 0.1886\n",
      "Epoch 15501/200000, ChebyKAN Loss: 0.0405, MLP Loss: 0.1883\n",
      "Epoch 15601/200000, ChebyKAN Loss: 0.0405, MLP Loss: 0.1880\n",
      "Epoch 15701/200000, ChebyKAN Loss: 0.0405, MLP Loss: 0.1879\n",
      "Epoch 15801/200000, ChebyKAN Loss: 0.0405, MLP Loss: 0.1874\n",
      "Epoch 15901/200000, ChebyKAN Loss: 0.0404, MLP Loss: 0.1871\n",
      "Epoch 16001/200000, ChebyKAN Loss: 0.0405, MLP Loss: 0.1868\n",
      "Epoch 16101/200000, ChebyKAN Loss: 0.0405, MLP Loss: 0.1865\n",
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      "Epoch 17101/200000, ChebyKAN Loss: 0.0400, MLP Loss: 0.1835\n",
      "Epoch 17201/200000, ChebyKAN Loss: 0.0401, MLP Loss: 0.1832\n",
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      "Epoch 17401/200000, ChebyKAN Loss: 0.0401, MLP Loss: 0.1827\n",
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      "Epoch 17601/200000, ChebyKAN Loss: 0.0403, MLP Loss: 0.1821\n",
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      "Epoch 18001/200000, ChebyKAN Loss: 0.0399, MLP Loss: 0.1811\n",
      "Epoch 18101/200000, ChebyKAN Loss: 0.0399, MLP Loss: 0.1810\n",
      "Epoch 18201/200000, ChebyKAN Loss: 0.0401, MLP Loss: 0.1806\n",
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      "Epoch 18401/200000, ChebyKAN Loss: 0.0399, MLP Loss: 0.1801\n",
      "Epoch 18501/200000, ChebyKAN Loss: 0.0400, MLP Loss: 0.1821\n",
      "Epoch 18601/200000, ChebyKAN Loss: 0.0399, MLP Loss: 0.1796\n",
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      "Epoch 18801/200000, ChebyKAN Loss: 0.0399, MLP Loss: 0.1792\n",
      "Epoch 18901/200000, ChebyKAN Loss: 0.0399, MLP Loss: 0.1854\n",
      "Epoch 19001/200000, ChebyKAN Loss: 0.0399, MLP Loss: 0.1787\n",
      "Epoch 19101/200000, ChebyKAN Loss: 0.0399, MLP Loss: 0.1786\n",
      "Epoch 19201/200000, ChebyKAN Loss: 0.0399, MLP Loss: 0.1783\n",
      "Epoch 19301/200000, ChebyKAN Loss: 0.0399, MLP Loss: 0.1785\n",
      "Epoch 19401/200000, ChebyKAN Loss: 0.0399, MLP Loss: 0.1779\n",
      "Epoch 19501/200000, ChebyKAN Loss: 0.0399, MLP Loss: 0.1776\n",
      "Epoch 19601/200000, ChebyKAN Loss: 0.0401, MLP Loss: 0.1779\n",
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      "Epoch 19901/200000, ChebyKAN Loss: 0.0398, MLP Loss: 0.1770\n",
      "Epoch 20001/200000, ChebyKAN Loss: 0.0398, MLP Loss: 0.1762\n",
      "Epoch 20101/200000, ChebyKAN Loss: 0.0398, MLP Loss: 0.1759\n",
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      "Epoch 185101/200000, ChebyKAN Loss: 0.0375, MLP Loss: 0.0434\n",
      "Epoch 185201/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0434\n",
      "Epoch 185301/200000, ChebyKAN Loss: 0.0373, MLP Loss: 0.0457\n",
      "Epoch 185401/200000, ChebyKAN Loss: 0.0373, MLP Loss: 0.0468\n",
      "Epoch 185501/200000, ChebyKAN Loss: 0.0373, MLP Loss: 0.0442\n",
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      "Epoch 185801/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0472\n",
      "Epoch 185901/200000, ChebyKAN Loss: 0.0375, MLP Loss: 0.0447\n",
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      "Epoch 187301/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0433\n",
      "Epoch 187401/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0435\n",
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      "Epoch 187701/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0434\n",
      "Epoch 187801/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0433\n",
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      "Epoch 188001/200000, ChebyKAN Loss: 0.0373, MLP Loss: 0.0433\n",
      "Epoch 188101/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0478\n",
      "Epoch 188201/200000, ChebyKAN Loss: 0.0377, MLP Loss: 0.0435\n",
      "Epoch 188301/200000, ChebyKAN Loss: 0.0388, MLP Loss: 0.0436\n",
      "Epoch 188401/200000, ChebyKAN Loss: 0.0380, MLP Loss: 0.0433\n",
      "Epoch 188501/200000, ChebyKAN Loss: 0.0373, MLP Loss: 0.0433\n",
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      "Epoch 188701/200000, ChebyKAN Loss: 0.0382, MLP Loss: 0.0522\n",
      "Epoch 188801/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0433\n",
      "Epoch 188901/200000, ChebyKAN Loss: 0.0373, MLP Loss: 0.0433\n",
      "Epoch 189001/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0433\n",
      "Epoch 189101/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0433\n",
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      "Epoch 189301/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0433\n",
      "Epoch 189401/200000, ChebyKAN Loss: 0.0373, MLP Loss: 0.0433\n",
      "Epoch 189501/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0432\n",
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      "Epoch 189701/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0432\n",
      "Epoch 189801/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0432\n",
      "Epoch 189901/200000, ChebyKAN Loss: 0.0373, MLP Loss: 0.0432\n",
      "Epoch 190001/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0432\n",
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      "Epoch 190301/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0435\n",
      "Epoch 190401/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0432\n",
      "Epoch 190501/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0502\n",
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      "Epoch 192001/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0504\n",
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      "Epoch 192801/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0432\n",
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      "Epoch 193001/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0432\n",
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      "Epoch 193201/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0432\n",
      "Epoch 193301/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0432\n",
      "Epoch 193401/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0432\n",
      "Epoch 193501/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0431\n",
      "Epoch 193601/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0433\n",
      "Epoch 193701/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0432\n",
      "Epoch 193801/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0432\n",
      "Epoch 193901/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0525\n",
      "Epoch 194001/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0431\n",
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      "Epoch 194201/200000, ChebyKAN Loss: 0.0381, MLP Loss: 0.0432\n",
      "Epoch 194301/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0500\n",
      "Epoch 194401/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0432\n",
      "Epoch 194501/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0431\n",
      "Epoch 194601/200000, ChebyKAN Loss: 0.0373, MLP Loss: 0.0431\n",
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      "Epoch 194901/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0431\n",
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      "Epoch 195101/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0436\n",
      "Epoch 195201/200000, ChebyKAN Loss: 0.0371, MLP Loss: 0.0431\n",
      "Epoch 195301/200000, ChebyKAN Loss: 0.0371, MLP Loss: 0.0431\n",
      "Epoch 195401/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0590\n",
      "Epoch 195501/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0431\n",
      "Epoch 195601/200000, ChebyKAN Loss: 0.0371, MLP Loss: 0.0431\n",
      "Epoch 195701/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0431\n",
      "Epoch 195801/200000, ChebyKAN Loss: 0.0374, MLP Loss: 0.0431\n",
      "Epoch 195901/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0433\n",
      "Epoch 196001/200000, ChebyKAN Loss: 0.0371, MLP Loss: 0.0431\n",
      "Epoch 196101/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0431\n",
      "Epoch 196201/200000, ChebyKAN Loss: 0.0371, MLP Loss: 0.0431\n",
      "Epoch 196301/200000, ChebyKAN Loss: 0.0371, MLP Loss: 0.0431\n",
      "Epoch 196401/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0431\n",
      "Epoch 196501/200000, ChebyKAN Loss: 0.0373, MLP Loss: 0.0431\n",
      "Epoch 196601/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0431\n",
      "Epoch 196701/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0431\n",
      "Epoch 196801/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0431\n",
      "Epoch 196901/200000, ChebyKAN Loss: 0.0373, MLP Loss: 0.0431\n",
      "Epoch 197001/200000, ChebyKAN Loss: 0.0371, MLP Loss: 0.0431\n",
      "Epoch 197101/200000, ChebyKAN Loss: 0.0371, MLP Loss: 0.0433\n",
      "Epoch 197201/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0431\n",
      "Epoch 197301/200000, ChebyKAN Loss: 0.0378, MLP Loss: 0.0431\n",
      "Epoch 197401/200000, ChebyKAN Loss: 0.0380, MLP Loss: 0.0431\n",
      "Epoch 197501/200000, ChebyKAN Loss: 0.0380, MLP Loss: 0.0431\n",
      "Epoch 197601/200000, ChebyKAN Loss: 0.0371, MLP Loss: 0.0476\n",
      "Epoch 197701/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0431\n",
      "Epoch 197801/200000, ChebyKAN Loss: 0.0373, MLP Loss: 0.0431\n",
      "Epoch 197901/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0430\n",
      "Epoch 198001/200000, ChebyKAN Loss: 0.0374, MLP Loss: 0.0431\n",
      "Epoch 198101/200000, ChebyKAN Loss: 0.0371, MLP Loss: 0.0431\n",
      "Epoch 198201/200000, ChebyKAN Loss: 0.0373, MLP Loss: 0.0431\n",
      "Epoch 198301/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0430\n",
      "Epoch 198401/200000, ChebyKAN Loss: 0.0371, MLP Loss: 0.0431\n",
      "Epoch 198501/200000, ChebyKAN Loss: 0.0372, MLP Loss: 0.0430\n",
      "Epoch 198601/200000, ChebyKAN Loss: 0.0371, MLP Loss: 0.0430\n",
      "Epoch 198701/200000, ChebyKAN Loss: 0.0371, MLP Loss: 0.0431\n",
      "Epoch 198801/200000, ChebyKAN Loss: 0.0371, MLP Loss: 0.0430\n",
      "Epoch 198901/200000, ChebyKAN Loss: 0.0377, MLP Loss: 0.0435\n",
      "Epoch 199001/200000, ChebyKAN Loss: 0.0371, MLP Loss: 0.0450\n",
      "Epoch 199101/200000, ChebyKAN Loss: 0.0373, MLP Loss: 0.0468\n",
      "Epoch 199201/200000, ChebyKAN Loss: 0.0371, MLP Loss: 0.0433\n",
      "Epoch 199301/200000, ChebyKAN Loss: 0.0371, MLP Loss: 0.0430\n",
      "Epoch 199401/200000, ChebyKAN Loss: 0.0371, MLP Loss: 0.0438\n",
      "Epoch 199501/200000, ChebyKAN Loss: 0.0376, MLP Loss: 0.0432\n",
      "Epoch 199601/200000, ChebyKAN Loss: 0.0371, MLP Loss: 0.0550\n",
      "Epoch 199701/200000, ChebyKAN Loss: 0.0371, MLP Loss: 0.0430\n",
      "Epoch 199801/200000, ChebyKAN Loss: 0.0371, MLP Loss: 0.0431\n",
      "Epoch 199901/200000, ChebyKAN Loss: 0.0371, MLP Loss: 0.0432\n"
     ]
    }
   ],
   "source": [
    "# Generate sample data\n",
    "x_train = torch.linspace(0, 2, steps=500).unsqueeze(1)\n",
    "y_train = torch.tensor(target_function(x_train))\n",
    "\n",
    "# Instantiate models\n",
    "cheby_model = ChebyKAN()\n",
    "mlp_model = SimpleMLP()\n",
    "\n",
    "# Define loss function and optimizer\n",
    "criterion = nn.MSELoss()\n",
    "optimizer_cheby = torch.optim.Adam(cheby_model.parameters(), lr=0.01)\n",
    "optimizer_mlp = torch.optim.Adam(mlp_model.parameters(), lr=0.03)\n",
    "\n",
    "cheby_losses = []\n",
    "mlp_losses = []\n",
    "\n",
    "# Train the models\n",
    "epochs = 200000\n",
    "for epoch in range(epochs):\n",
    "    optimizer_cheby.zero_grad()\n",
    "    outputs_cheby = cheby_model(x_train)\n",
    "    loss_cheby = criterion(outputs_cheby, y_train)\n",
    "    loss_cheby.backward()\n",
    "    optimizer_cheby.step()\n",
    "\n",
    "    optimizer_mlp.zero_grad()\n",
    "    outputs_mlp = mlp_model(x_train)\n",
    "    loss_mlp = criterion(outputs_mlp, y_train)\n",
    "    loss_mlp.backward()\n",
    "    optimizer_mlp.step()\n",
    "\n",
    "    if epoch % 100 == 0:\n",
    "        cheby_losses.append(loss_cheby.item())\n",
    "        mlp_losses.append(loss_mlp.item())\n",
    "        print(f'Epoch {epoch + 1}/{epochs}, ChebyKAN Loss: {loss_cheby.item():.4f}, MLP Loss: {loss_mlp.item():.4f}')\n",
    "\n",
    "# Test the models\n",
    "x_test = torch.linspace(0, 2, steps=400).unsqueeze(1)\n",
    "y_pred_cheby = cheby_model(x_test).detach()\n",
    "y_pred_mlp = mlp_model(x_test).detach()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "30a1b0ca-6f66-4068-9f9d-0cefbba0960d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the results\n",
    "plt.figure(figsize=(10, 5))\n",
    "plt.plot(x_train.numpy(), y_train.numpy(), 'ro', label='Original Data')\n",
    "plt.plot(x_test.numpy(), y_pred_cheby.numpy(), 'b-', label='ChebyKAN')\n",
    "plt.plot(x_test.numpy(), y_pred_mlp.numpy(), 'g--', label='MLP')\n",
    "plt.title('Comparison of ChebyKAN and MLP Interpolations f(x)')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('f(x)')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "0047399c-488c-4a00-8562-8b25d29985c2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the convergence speed\n",
    "# Plotting\n",
    "plt.figure(figsize=(10, 5))\n",
    "plt.plot(range(0, epochs, 100), cheby_losses, 'b-', label='ChebyKAN')\n",
    "plt.plot(range(0, epochs, 100), mlp_losses, 'g--', label='MLP')\n",
    "plt.title('Convergence Speed Comparison Between ChebyKAN and MLP')\n",
    "plt.xlim(-1000, 120000)\n",
    "plt.xlabel('Epoch')\n",
    "plt.ylabel('Loss')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9af5079a-e964-449c-9e28-e066d18ed4ab",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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": "3.10.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}