SineKAN_Universal_Approximation_Demo.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": [],
      "gpuType": "T4",
      "mount_file_id": "1bYm1JqbIYk7yB7zZ67hu9fA4VVYwYlpj",
      "authorship_tag": "ABX9TyPzv7ihcA4tL5ulxeraqpod",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    },
    "accelerator": "GPU"
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/ereinha/SineKAN/blob/main/SineKAN_Universal_Approximation_Demo.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from sine_kan import *\n",
        "\n",
        "import numpy as np\n",
        "import torch\n",
        "import torch.optim as optim\n",
        "import matplotlib.pyplot as plt"
      ],
      "metadata": {
        "id": "s1Ss-jfCUMOS"
      },
      "execution_count": 3,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "device = torch.device('cuda:0')\n",
        "\n",
        "def tanh_plus_well(x):\n",
        "    # f(x) = \\tanh(10x + 0.5 + \\text{ReLU}(x^2) \\cdot 10)\n",
        "    return torch.tanh(10*x+0.5+torch.nn.functional.relu(x**2)*10)\n",
        "\n",
        "def sin_cos_exp(x):\n",
        "    # g(x) = \\sin(x) + \\cos(5x) \\cdot e^{-x^2} + \\text{ReLU}(x - 0.5)\n",
        "    return torch.sin(x) + torch.cos(5*x) * torch.exp(-x**2) + torch.nn.functional.relu(x-0.5)\n",
        "\n",
        "def sigmoid_plus_relu(x):\n",
        "    # h(x) = \\sigma(3x) + \\text{ReLU}(\\sin(2x) + x^3)\n",
        "    # where \\sigma(x) = \\frac{1}{1 + e^{-x}} is the sigmoid function.\n",
        "    return torch.sigmoid(3*x) + torch.nn.functional.relu(torch.sin(2*x) + x**3)\n",
        "\n",
        "def tanh_relu_cos(x):\n",
        "    # k(x) = \\tanh(5x - 2) + 3 \\cdot \\text{ReLU}(\\cos(x^2))\n",
        "    return torch.tanh(5*x - 2) + torch.nn.functional.relu(torch.cos(x**2)) * 3\n",
        "\n",
        "def softplus_square_tanh(x):\n",
        "    # m(x) = \\text{Softplus}(x^2 - 1) + \\tanh(4x + 0.1)\n",
        "    # where \\text{Softplus}(x) = \\log(1 + e^x)\n",
        "    return torch.nn.functional.softplus(x**2 - 1) + torch.tanh(4*x + 0.1)\n",
        "\n",
        "def exponential_relu_tanh(x):\n",
        "    # n(x) = e^{-x^2 + 0.3x} + \\text{ReLU}(\\tanh(2x - 1))\n",
        "    return torch.exp(-x**2 + 0.3*x) + torch.nn.functional.relu(torch.tanh(2*x - 1))\n",
        "\n",
        "functions = [tanh_plus_well, sin_cos_exp, sigmoid_plus_relu, tanh_relu_cos, softplus_square_tanh, exponential_relu_tanh]\n",
        "\n",
        "latex_strings = [\"f(x) = \\tanh(10x + 0.5 + \\text{ReLU}(x^2) \\cdot 10)\",\n",
        "                 \"g(x) = \\sin(x) + \\cos(5x) \\cdot e^{-x^2} + \\text{ReLU}(x - 0.5)\",\n",
        "                 \"h(x) = \\sigma(3x) + \\text{ReLU}(\\sin(2x) + x^3)\",\n",
        "                 \"k(x) = \\tanh(5x - 2) + 3 \\cdot \\text{ReLU}(\\cos(x^2))\",\n",
        "                 \"m(x) = \\text{Softplus}(x^2 - 1) + \\tanh(4x + 0.1)\",\n",
        "                 \"n(x) = e^{-x^2 + 0.3x} + \\text{ReLU}(\\tanh(2x - 1))\"\n",
        "                 ]\n",
        "\n",
        "all_y_vals = []\n",
        "\n",
        "epochs, batch = 1000, 100\n",
        "for function in functions:\n",
        "    torch.manual_seed(42)\n",
        "    op = SineKANLayer(1, 1, grid_size=100, norm_freq=False).to(device)\n",
        "\n",
        "    # %%\n",
        "    opt = torch.optim.Adam(op.parameters(), lr=0.01)\n",
        "    criterion = torch.nn.MSELoss()\n",
        "    for ep in range(epochs):\n",
        "        x = (torch.rand(batch).to(device)*2 - 1).unsqueeze(-1)\n",
        "        y0 = function(x).to(device)\n",
        "\n",
        "        opt.zero_grad()\n",
        "        y = op(x)\n",
        "        loss = criterion(y, y0)\n",
        "        loss.backward()\n",
        "        opt.step()\n",
        "        print(f\"Epoch: {ep}, MSE_loss: {loss.item()}\")\n",
        "\n",
        "\n",
        "    # %%\n",
        "    import matplotlib.pyplot as plt\n",
        "    # %%\n",
        "    with torch.no_grad():\n",
        "        x = torch.linspace(-1., 1., 200).to(device).unsqueeze(-1)\n",
        "        y0 = function(x).to(device)\n",
        "        y = op(x)\n",
        "\n",
        "    all_y_vals.append(y)\n",
        "    plt.plot(x.cpu(), y0.cpu())\n",
        "    plt.plot(x.cpu(), y.cpu())\n",
        "    plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "Z1Px6Z0OUKdf",
        "outputId": "85b6c9c7-c829-4eb9-c0e3-21ee9cf556a0"
      },
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Epoch: 0, MSE_loss: 3.972658634185791\n",
            "Epoch: 1, MSE_loss: 4.361227989196777\n",
            "Epoch: 2, MSE_loss: 4.236888408660889\n",
            "Epoch: 3, MSE_loss: 3.749667167663574\n",
            "Epoch: 4, MSE_loss: 3.65385365486145\n",
            "Epoch: 5, MSE_loss: 2.981502056121826\n",
            "Epoch: 6, MSE_loss: 3.103379487991333\n",
            "Epoch: 7, MSE_loss: 3.0528247356414795\n",
            "Epoch: 8, MSE_loss: 2.6608972549438477\n",
            "Epoch: 9, MSE_loss: 3.16713809967041\n",
            "Epoch: 10, MSE_loss: 3.0184178352355957\n",
            "Epoch: 11, MSE_loss: 2.4541831016540527\n",
            "Epoch: 12, MSE_loss: 2.405338764190674\n",
            "Epoch: 13, MSE_loss: 2.078443765640259\n",
            "Epoch: 14, MSE_loss: 2.6566131114959717\n",
            "Epoch: 15, MSE_loss: 1.9793930053710938\n",
            "Epoch: 16, MSE_loss: 2.1814329624176025\n",
            "Epoch: 17, MSE_loss: 1.8412723541259766\n",
            "Epoch: 18, MSE_loss: 1.8132989406585693\n",
            "Epoch: 19, MSE_loss: 1.9718230962753296\n",
            "Epoch: 20, MSE_loss: 1.8524161577224731\n",
            "Epoch: 21, MSE_loss: 1.6818499565124512\n",
            "Epoch: 22, MSE_loss: 1.8857678174972534\n",
            "Epoch: 23, MSE_loss: 1.980455756187439\n",
            "Epoch: 24, MSE_loss: 1.5694293975830078\n",
            "Epoch: 25, MSE_loss: 1.5809146165847778\n",
            "Epoch: 26, MSE_loss: 1.9240761995315552\n",
            "Epoch: 27, MSE_loss: 1.332751989364624\n",
            "Epoch: 28, MSE_loss: 1.4305671453475952\n",
            "Epoch: 29, MSE_loss: 1.4634432792663574\n",
            "Epoch: 30, MSE_loss: 1.1519001722335815\n",
            "Epoch: 31, MSE_loss: 1.508779525756836\n",
            "Epoch: 32, MSE_loss: 1.163800835609436\n",
            "Epoch: 33, MSE_loss: 1.317942500114441\n",
            "Epoch: 34, MSE_loss: 0.9964780211448669\n",
            "Epoch: 35, MSE_loss: 0.9834832549095154\n",
            "Epoch: 36, MSE_loss: 0.9150115847587585\n",
            "Epoch: 37, MSE_loss: 0.8377954959869385\n",
            "Epoch: 38, MSE_loss: 0.865659236907959\n",
            "Epoch: 39, MSE_loss: 1.0193774700164795\n",
            "Epoch: 40, MSE_loss: 0.7484332323074341\n",
            "Epoch: 41, MSE_loss: 1.007083535194397\n",
            "Epoch: 42, MSE_loss: 0.624207079410553\n",
            "Epoch: 43, MSE_loss: 0.8691407442092896\n",
            "Epoch: 44, MSE_loss: 0.811310350894928\n",
            "Epoch: 45, MSE_loss: 0.813321053981781\n",
            "Epoch: 46, MSE_loss: 0.7332225441932678\n",
            "Epoch: 47, MSE_loss: 0.7578367590904236\n",
            "Epoch: 48, MSE_loss: 0.7313146591186523\n",
            "Epoch: 49, MSE_loss: 0.513636589050293\n",
            "Epoch: 50, MSE_loss: 0.5600244998931885\n",
            "Epoch: 51, MSE_loss: 0.40439334511756897\n",
            "Epoch: 52, MSE_loss: 0.554076611995697\n",
            "Epoch: 53, MSE_loss: 0.5664190649986267\n",
            "Epoch: 54, MSE_loss: 0.5523199439048767\n",
            "Epoch: 55, MSE_loss: 0.36154964566230774\n",
            "Epoch: 56, MSE_loss: 0.5225784182548523\n",
            "Epoch: 57, MSE_loss: 0.5244390964508057\n",
            "Epoch: 58, MSE_loss: 0.4683501422405243\n",
            "Epoch: 59, MSE_loss: 0.5221135020256042\n",
            "Epoch: 60, MSE_loss: 0.4156155586242676\n",
            "Epoch: 61, MSE_loss: 0.33578675985336304\n",
            "Epoch: 62, MSE_loss: 0.4169991612434387\n",
            "Epoch: 63, MSE_loss: 0.3823899030685425\n",
            "Epoch: 64, MSE_loss: 0.3413771390914917\n",
            "Epoch: 65, MSE_loss: 0.2706635594367981\n",
            "Epoch: 66, MSE_loss: 0.3069753050804138\n",
            "Epoch: 67, MSE_loss: 0.3054293990135193\n",
            "Epoch: 68, MSE_loss: 0.2862628400325775\n",
            "Epoch: 69, MSE_loss: 0.2685917615890503\n",
            "Epoch: 70, MSE_loss: 0.3368658423423767\n",
            "Epoch: 71, MSE_loss: 0.24071402847766876\n",
            "Epoch: 72, MSE_loss: 0.22285903990268707\n",
            "Epoch: 73, MSE_loss: 0.24561290442943573\n",
            "Epoch: 74, MSE_loss: 0.2587112486362457\n",
            "Epoch: 75, MSE_loss: 0.15503551065921783\n",
            "Epoch: 76, MSE_loss: 0.21048487722873688\n",
            "Epoch: 77, MSE_loss: 0.216655895113945\n",
            "Epoch: 78, MSE_loss: 0.18184901773929596\n",
            "Epoch: 79, MSE_loss: 0.20072856545448303\n",
            "Epoch: 80, MSE_loss: 0.18968874216079712\n",
            "Epoch: 81, MSE_loss: 0.149467334151268\n",
            "Epoch: 82, MSE_loss: 0.14747513830661774\n",
            "Epoch: 83, MSE_loss: 0.10576783120632172\n",
            "Epoch: 84, MSE_loss: 0.12135980278253555\n",
            "Epoch: 85, MSE_loss: 0.12093272805213928\n",
            "Epoch: 86, MSE_loss: 0.12104842811822891\n",
            "Epoch: 87, MSE_loss: 0.10569338500499725\n",
            "Epoch: 88, MSE_loss: 0.10845290869474411\n",
            "Epoch: 89, MSE_loss: 0.09442012757062912\n",
            "Epoch: 90, MSE_loss: 0.08191827684640884\n",
            "Epoch: 91, MSE_loss: 0.08072125911712646\n",
            "Epoch: 92, MSE_loss: 0.08239886909723282\n",
            "Epoch: 93, MSE_loss: 0.07542559504508972\n",
            "Epoch: 94, MSE_loss: 0.08319984376430511\n",
            "Epoch: 95, MSE_loss: 0.06790261715650558\n",
            "Epoch: 96, MSE_loss: 0.06114254891872406\n",
            "Epoch: 97, MSE_loss: 0.06474137306213379\n",
            "Epoch: 98, MSE_loss: 0.05629570409655571\n",
            "Epoch: 99, MSE_loss: 0.05508480966091156\n",
            "Epoch: 100, MSE_loss: 0.056473832577466965\n",
            "Epoch: 101, MSE_loss: 0.03853355720639229\n",
            "Epoch: 102, MSE_loss: 0.06446924060583115\n",
            "Epoch: 103, MSE_loss: 0.05127112194895744\n",
            "Epoch: 104, MSE_loss: 0.04132017120718956\n",
            "Epoch: 105, MSE_loss: 0.03692329674959183\n",
            "Epoch: 106, MSE_loss: 0.03671055659651756\n",
            "Epoch: 107, MSE_loss: 0.03644451126456261\n",
            "Epoch: 108, MSE_loss: 0.03432805463671684\n",
            "Epoch: 109, MSE_loss: 0.022412709891796112\n",
            "Epoch: 110, MSE_loss: 0.0268552228808403\n",
            "Epoch: 111, MSE_loss: 0.027231911197304726\n",
            "Epoch: 112, MSE_loss: 0.01577950268983841\n",
            "Epoch: 113, MSE_loss: 0.023571858182549477\n",
            "Epoch: 114, MSE_loss: 0.020066332072019577\n",
            "Epoch: 115, MSE_loss: 0.01723429374396801\n",
            "Epoch: 116, MSE_loss: 0.01836574263870716\n",
            "Epoch: 117, MSE_loss: 0.014326921664178371\n",
            "Epoch: 118, MSE_loss: 0.016419142484664917\n",
            "Epoch: 119, MSE_loss: 0.019129924476146698\n",
            "Epoch: 120, MSE_loss: 0.016891036182641983\n",
            "Epoch: 121, MSE_loss: 0.01315042469650507\n",
            "Epoch: 122, MSE_loss: 0.01478311512619257\n",
            "Epoch: 123, MSE_loss: 0.011879201047122478\n",
            "Epoch: 124, MSE_loss: 0.009385496377944946\n",
            "Epoch: 125, MSE_loss: 0.007099971640855074\n",
            "Epoch: 126, MSE_loss: 0.007255422417074442\n",
            "Epoch: 127, MSE_loss: 0.009749142453074455\n",
            "Epoch: 128, MSE_loss: 0.009499010629951954\n",
            "Epoch: 129, MSE_loss: 0.007186918053776026\n",
            "Epoch: 130, MSE_loss: 0.007465273141860962\n",
            "Epoch: 131, MSE_loss: 0.008721040561795235\n",
            "Epoch: 132, MSE_loss: 0.009004661813378334\n",
            "Epoch: 133, MSE_loss: 0.005985621828585863\n",
            "Epoch: 134, MSE_loss: 0.007214745040982962\n",
            "Epoch: 135, MSE_loss: 0.005050819832831621\n",
            "Epoch: 136, MSE_loss: 0.004419373814016581\n",
            "Epoch: 137, MSE_loss: 0.004580144304782152\n",
            "Epoch: 138, MSE_loss: 0.003507954068481922\n",
            "Epoch: 139, MSE_loss: 0.004184946417808533\n",
            "Epoch: 140, MSE_loss: 0.0027896009851247072\n",
            "Epoch: 141, MSE_loss: 0.003887694329023361\n",
            "Epoch: 142, MSE_loss: 0.0031701570842415094\n",
            "Epoch: 143, MSE_loss: 0.0023392802104353905\n",
            "Epoch: 144, MSE_loss: 0.002312210388481617\n",
            "Epoch: 145, MSE_loss: 0.00225480692461133\n",
            "Epoch: 146, MSE_loss: 0.0024407871533185244\n",
            "Epoch: 147, MSE_loss: 0.002554244128987193\n",
            "Epoch: 148, MSE_loss: 0.0014899428933858871\n",
            "Epoch: 149, MSE_loss: 0.0018903946038335562\n",
            "Epoch: 150, MSE_loss: 0.001606225036084652\n",
            "Epoch: 151, MSE_loss: 0.0012052295496687293\n",
            "Epoch: 152, MSE_loss: 0.0016101429937407374\n",
            "Epoch: 153, MSE_loss: 0.0010660168481990695\n",
            "Epoch: 154, MSE_loss: 0.0011044784914702177\n",
            "Epoch: 155, MSE_loss: 0.0009337387164123356\n",
            "Epoch: 156, MSE_loss: 0.0012097699800506234\n",
            "Epoch: 157, MSE_loss: 0.0008122836006805301\n",
            "Epoch: 158, MSE_loss: 0.0006153717986308038\n",
            "Epoch: 159, MSE_loss: 0.0007489899871870875\n",
            "Epoch: 160, MSE_loss: 0.0008093476062640548\n",
            "Epoch: 161, MSE_loss: 0.0006413378287106752\n",
            "Epoch: 162, MSE_loss: 0.0006189931300468743\n",
            "Epoch: 163, MSE_loss: 0.0006641974905505776\n",
            "Epoch: 164, MSE_loss: 0.0005019353702664375\n",
            "Epoch: 165, MSE_loss: 0.0004456382885109633\n",
            "Epoch: 166, MSE_loss: 0.0005161648150533438\n",
            "Epoch: 167, MSE_loss: 0.0004133212205488235\n",
            "Epoch: 168, MSE_loss: 0.00040525555959902704\n",
            "Epoch: 169, MSE_loss: 0.0004648891044780612\n",
            "Epoch: 170, MSE_loss: 0.00028555397875607014\n",
            "Epoch: 171, MSE_loss: 0.000317641330184415\n",
            "Epoch: 172, MSE_loss: 0.0002772264997474849\n",
            "Epoch: 173, MSE_loss: 0.0002455653448123485\n",
            "Epoch: 174, MSE_loss: 0.0002309657575096935\n",
            "Epoch: 175, MSE_loss: 0.0002346855471841991\n",
            "Epoch: 176, MSE_loss: 0.00016512942966073751\n",
            "Epoch: 177, MSE_loss: 0.0001430396077921614\n",
            "Epoch: 178, MSE_loss: 0.00013077471521683037\n",
            "Epoch: 179, MSE_loss: 0.00014872020983602852\n",
            "Epoch: 180, MSE_loss: 0.0001266371546080336\n",
            "Epoch: 181, MSE_loss: 0.00010170036694034934\n",
            "Epoch: 182, MSE_loss: 0.00013715475506614894\n",
            "Epoch: 183, MSE_loss: 0.00010275676322635263\n",
            "Epoch: 184, MSE_loss: 0.00010852058767341077\n",
            "Epoch: 185, MSE_loss: 9.979909373214468e-05\n",
            "Epoch: 186, MSE_loss: 6.159261829452589e-05\n",
            "Epoch: 187, MSE_loss: 9.225606481777504e-05\n",
            "Epoch: 188, MSE_loss: 4.7162760893115774e-05\n",
            "Epoch: 189, MSE_loss: 6.013778693159111e-05\n",
            "Epoch: 190, MSE_loss: 5.6006854720180854e-05\n",
            "Epoch: 191, MSE_loss: 5.594255344476551e-05\n",
            "Epoch: 192, MSE_loss: 4.705418905359693e-05\n",
            "Epoch: 193, MSE_loss: 3.1301275157602504e-05\n",
            "Epoch: 194, MSE_loss: 3.337450834806077e-05\n",
            "Epoch: 195, MSE_loss: 4.341263047535904e-05\n",
            "Epoch: 196, MSE_loss: 3.6816760257352144e-05\n",
            "Epoch: 197, MSE_loss: 3.738384475582279e-05\n",
            "Epoch: 198, MSE_loss: 2.5056076992768794e-05\n",
            "Epoch: 199, MSE_loss: 2.267237323394511e-05\n",
            "Epoch: 200, MSE_loss: 2.414126902294811e-05\n",
            "Epoch: 201, MSE_loss: 2.2459309548139572e-05\n",
            "Epoch: 202, MSE_loss: 1.4877855392114725e-05\n",
            "Epoch: 203, MSE_loss: 1.6651727491989732e-05\n",
            "Epoch: 204, MSE_loss: 2.4331608074135147e-05\n",
            "Epoch: 205, MSE_loss: 1.4877256035106257e-05\n",
            "Epoch: 206, MSE_loss: 1.9533810700522736e-05\n",
            "Epoch: 207, MSE_loss: 1.4583241863874719e-05\n",
            "Epoch: 208, MSE_loss: 1.0464930710440967e-05\n",
            "Epoch: 209, MSE_loss: 1.191822320834035e-05\n",
            "Epoch: 210, MSE_loss: 1.2485655133787077e-05\n",
            "Epoch: 211, MSE_loss: 9.250885341316462e-06\n",
            "Epoch: 212, MSE_loss: 9.954774213838391e-06\n",
            "Epoch: 213, MSE_loss: 8.773330591793638e-06\n",
            "Epoch: 214, MSE_loss: 8.225221790780779e-06\n",
            "Epoch: 215, MSE_loss: 8.953907126851846e-06\n",
            "Epoch: 216, MSE_loss: 5.719301952922251e-06\n",
            "Epoch: 217, MSE_loss: 7.101207756932126e-06\n",
            "Epoch: 218, MSE_loss: 7.064482815621886e-06\n",
            "Epoch: 219, MSE_loss: 6.946873327251524e-06\n",
            "Epoch: 220, MSE_loss: 6.470891548815416e-06\n",
            "Epoch: 221, MSE_loss: 3.8586854316235986e-06\n",
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          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Epoch: 0, MSE_loss: 4.294482231140137\n",
            "Epoch: 1, MSE_loss: 4.48081636428833\n",
            "Epoch: 2, MSE_loss: 4.31715726852417\n",
            "Epoch: 3, MSE_loss: 4.115678787231445\n",
            "Epoch: 4, MSE_loss: 3.655712127685547\n",
            "Epoch: 5, MSE_loss: 3.4093692302703857\n",
            "Epoch: 6, MSE_loss: 3.188636302947998\n",
            "Epoch: 7, MSE_loss: 3.556802988052368\n",
            "Epoch: 8, MSE_loss: 2.8707680702209473\n",
            "Epoch: 9, MSE_loss: 2.900667667388916\n",
            "Epoch: 10, MSE_loss: 3.375671863555908\n",
            "Epoch: 11, MSE_loss: 2.506284236907959\n",
            "Epoch: 12, MSE_loss: 2.591773509979248\n",
            "Epoch: 13, MSE_loss: 2.28841495513916\n",
            "Epoch: 14, MSE_loss: 2.810120105743408\n",
            "Epoch: 15, MSE_loss: 1.963826060295105\n",
            "Epoch: 16, MSE_loss: 2.4248452186584473\n",
            "Epoch: 17, MSE_loss: 2.0924510955810547\n",
            "Epoch: 18, MSE_loss: 2.120265245437622\n",
            "Epoch: 19, MSE_loss: 1.9085339307785034\n",
            "Epoch: 20, MSE_loss: 1.9383517503738403\n",
            "Epoch: 21, MSE_loss: 1.7042121887207031\n",
            "Epoch: 22, MSE_loss: 1.9129949808120728\n",
            "Epoch: 23, MSE_loss: 1.8509347438812256\n",
            "Epoch: 24, MSE_loss: 1.6377593278884888\n",
            "Epoch: 25, MSE_loss: 1.5540844202041626\n",
            "Epoch: 26, MSE_loss: 2.0019569396972656\n",
            "Epoch: 27, MSE_loss: 1.529929518699646\n",
            "Epoch: 28, MSE_loss: 1.6510034799575806\n",
            "Epoch: 29, MSE_loss: 1.6437023878097534\n",
            "Epoch: 30, MSE_loss: 1.2092714309692383\n",
            "Epoch: 31, MSE_loss: 1.3959499597549438\n",
            "Epoch: 32, MSE_loss: 1.2018486261367798\n",
            "Epoch: 33, MSE_loss: 1.3360486030578613\n",
            "Epoch: 34, MSE_loss: 1.088826060295105\n",
            "Epoch: 35, MSE_loss: 1.073262333869934\n",
            "Epoch: 36, MSE_loss: 0.9160040616989136\n",
            "Epoch: 37, MSE_loss: 1.0208806991577148\n",
            "Epoch: 38, MSE_loss: 0.9970812797546387\n",
            "Epoch: 39, MSE_loss: 0.96893310546875\n",
            "Epoch: 40, MSE_loss: 1.0090621709823608\n",
            "Epoch: 41, MSE_loss: 0.931902289390564\n",
            "Epoch: 42, MSE_loss: 0.6632251739501953\n",
            "Epoch: 43, MSE_loss: 0.8468369841575623\n",
            "Epoch: 44, MSE_loss: 0.8914424180984497\n",
            "Epoch: 45, MSE_loss: 0.7046915888786316\n",
            "Epoch: 46, MSE_loss: 0.6323240399360657\n",
            "Epoch: 47, MSE_loss: 0.7148754596710205\n",
            "Epoch: 48, MSE_loss: 0.6315912008285522\n",
            "Epoch: 49, MSE_loss: 0.5252666473388672\n",
            "Epoch: 50, MSE_loss: 0.5026179552078247\n",
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            "Epoch: 921, MSE_loss: 1.5596717275911942e-05\n",
            "Epoch: 922, MSE_loss: 2.6836642064154148e-05\n",
            "Epoch: 923, MSE_loss: 2.5947791073122062e-05\n",
            "Epoch: 924, MSE_loss: 1.2089936717529781e-05\n",
            "Epoch: 925, MSE_loss: 2.950837733806111e-05\n",
            "Epoch: 926, MSE_loss: 1.8091339370585047e-05\n",
            "Epoch: 927, MSE_loss: 2.564067835919559e-05\n",
            "Epoch: 928, MSE_loss: 1.7592825315659866e-05\n",
            "Epoch: 929, MSE_loss: 0.00010809708328451961\n",
            "Epoch: 930, MSE_loss: 3.117572850896977e-05\n",
            "Epoch: 931, MSE_loss: 1.1915404684259556e-05\n",
            "Epoch: 932, MSE_loss: 1.3038446923019364e-05\n",
            "Epoch: 933, MSE_loss: 1.5479254216188565e-05\n",
            "Epoch: 934, MSE_loss: 2.3458409486920573e-05\n",
            "Epoch: 935, MSE_loss: 1.1258288395765703e-05\n",
            "Epoch: 936, MSE_loss: 0.00019264128059148788\n",
            "Epoch: 937, MSE_loss: 1.4286161786003504e-05\n",
            "Epoch: 938, MSE_loss: 9.311183384852484e-05\n",
            "Epoch: 939, MSE_loss: 6.943877815501764e-05\n",
            "Epoch: 940, MSE_loss: 2.0800192942260765e-05\n",
            "Epoch: 941, MSE_loss: 1.965602314157877e-05\n",
            "Epoch: 942, MSE_loss: 2.9034299586783163e-05\n",
            "Epoch: 943, MSE_loss: 4.850377081311308e-05\n",
            "Epoch: 944, MSE_loss: 1.3977660273667425e-05\n",
            "Epoch: 945, MSE_loss: 2.3906051865196787e-05\n",
            "Epoch: 946, MSE_loss: 1.3351330380828585e-05\n",
            "Epoch: 947, MSE_loss: 4.489230195758864e-05\n",
            "Epoch: 948, MSE_loss: 1.3695604138774797e-05\n",
            "Epoch: 949, MSE_loss: 1.0016683518188074e-05\n",
            "Epoch: 950, MSE_loss: 2.2428492229664698e-05\n",
            "Epoch: 951, MSE_loss: 6.638115155510604e-05\n",
            "Epoch: 952, MSE_loss: 0.00010098907659994438\n",
            "Epoch: 953, MSE_loss: 1.7429912986699492e-05\n",
            "Epoch: 954, MSE_loss: 8.168318163370714e-05\n",
            "Epoch: 955, MSE_loss: 2.2022248231223784e-05\n",
            "Epoch: 956, MSE_loss: 0.0001464861852582544\n",
            "Epoch: 957, MSE_loss: 7.79732217779383e-05\n",
            "Epoch: 958, MSE_loss: 2.1500434741028585e-05\n",
            "Epoch: 959, MSE_loss: 2.241137917735614e-05\n",
            "Epoch: 960, MSE_loss: 2.9327049560379237e-05\n",
            "Epoch: 961, MSE_loss: 1.6943440641625784e-05\n",
            "Epoch: 962, MSE_loss: 2.269592005177401e-05\n",
            "Epoch: 963, MSE_loss: 3.8966292777331546e-05\n",
            "Epoch: 964, MSE_loss: 2.788443089229986e-05\n",
            "Epoch: 965, MSE_loss: 2.0427833078429103e-05\n",
            "Epoch: 966, MSE_loss: 2.838445288944058e-05\n",
            "Epoch: 967, MSE_loss: 2.6729276214609854e-05\n",
            "Epoch: 968, MSE_loss: 7.396952423732728e-05\n",
            "Epoch: 969, MSE_loss: 1.3181099348003045e-05\n",
            "Epoch: 970, MSE_loss: 4.464072117116302e-05\n",
            "Epoch: 971, MSE_loss: 8.950728442869149e-06\n",
            "Epoch: 972, MSE_loss: 1.245689873030642e-05\n",
            "Epoch: 973, MSE_loss: 1.885694837255869e-05\n",
            "Epoch: 974, MSE_loss: 9.577292075846344e-05\n",
            "Epoch: 975, MSE_loss: 9.969617167371325e-06\n",
            "Epoch: 976, MSE_loss: 1.7323258362011984e-05\n",
            "Epoch: 977, MSE_loss: 3.423379166633822e-05\n",
            "Epoch: 978, MSE_loss: 4.6700388338649645e-05\n",
            "Epoch: 979, MSE_loss: 1.302924647461623e-05\n",
            "Epoch: 980, MSE_loss: 2.630525705171749e-05\n",
            "Epoch: 981, MSE_loss: 1.4782071048102807e-05\n",
            "Epoch: 982, MSE_loss: 3.037871647393331e-05\n",
            "Epoch: 983, MSE_loss: 1.0989892871293705e-05\n",
            "Epoch: 984, MSE_loss: 6.864029273856431e-06\n",
            "Epoch: 985, MSE_loss: 5.0300492148380727e-05\n",
            "Epoch: 986, MSE_loss: 2.7816548026748933e-05\n",
            "Epoch: 987, MSE_loss: 1.1502575034683105e-05\n",
            "Epoch: 988, MSE_loss: 3.343281787238084e-05\n",
            "Epoch: 989, MSE_loss: 7.3886891186703e-05\n",
            "Epoch: 990, MSE_loss: 2.5809151338762604e-05\n",
            "Epoch: 991, MSE_loss: 1.0119670150743332e-05\n",
            "Epoch: 992, MSE_loss: 1.1648542567854747e-05\n",
            "Epoch: 993, MSE_loss: 6.675051554339007e-05\n",
            "Epoch: 994, MSE_loss: 3.5570399631978944e-05\n",
            "Epoch: 995, MSE_loss: 1.9931769202230498e-05\n",
            "Epoch: 996, MSE_loss: 7.202026154118357e-06\n",
            "Epoch: 997, MSE_loss: 1.5913601600914262e-05\n",
            "Epoch: 998, MSE_loss: 6.583250797120854e-05\n",
            "Epoch: 999, MSE_loss: 2.0818839402636513e-05\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Epoch: 0, MSE_loss: 1.785896897315979\n",
            "Epoch: 1, MSE_loss: 1.9528319835662842\n",
            "Epoch: 2, MSE_loss: 1.782823085784912\n",
            "Epoch: 3, MSE_loss: 1.671189546585083\n",
            "Epoch: 4, MSE_loss: 1.6042940616607666\n",
            "Epoch: 5, MSE_loss: 1.4539763927459717\n",
            "Epoch: 6, MSE_loss: 1.3910377025604248\n",
            "Epoch: 7, MSE_loss: 1.2898021936416626\n",
            "Epoch: 8, MSE_loss: 1.123007893562317\n",
            "Epoch: 9, MSE_loss: 1.2324392795562744\n",
            "Epoch: 10, MSE_loss: 1.2147446870803833\n",
            "Epoch: 11, MSE_loss: 1.1132094860076904\n",
            "Epoch: 12, MSE_loss: 1.0614309310913086\n",
            "Epoch: 13, MSE_loss: 0.9723367094993591\n",
            "Epoch: 14, MSE_loss: 1.0490905046463013\n",
            "Epoch: 15, MSE_loss: 0.7757954001426697\n",
            "Epoch: 16, MSE_loss: 0.8531282544136047\n",
            "Epoch: 17, MSE_loss: 0.8135615587234497\n",
            "Epoch: 18, MSE_loss: 0.8033913969993591\n",
            "Epoch: 19, MSE_loss: 0.7628677487373352\n",
            "Epoch: 20, MSE_loss: 0.6900087594985962\n",
            "Epoch: 21, MSE_loss: 0.7577676177024841\n",
            "Epoch: 22, MSE_loss: 0.6869968175888062\n",
            "Epoch: 23, MSE_loss: 0.7118180394172668\n",
            "Epoch: 24, MSE_loss: 0.6255937218666077\n",
            "Epoch: 25, MSE_loss: 0.6325152516365051\n",
            "Epoch: 26, MSE_loss: 0.6722614765167236\n",
            "Epoch: 27, MSE_loss: 0.5507038831710815\n",
            "Epoch: 28, MSE_loss: 0.46892276406288147\n",
            "Epoch: 29, MSE_loss: 0.5187252163887024\n",
            "Epoch: 30, MSE_loss: 0.42270827293395996\n",
            "Epoch: 31, MSE_loss: 0.5202718377113342\n",
            "Epoch: 32, MSE_loss: 0.43179693818092346\n",
            "Epoch: 33, MSE_loss: 0.3752214014530182\n",
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            "Epoch: 912, MSE_loss: 5.4911066399654374e-05\n",
            "Epoch: 913, MSE_loss: 0.00014760892372578382\n",
            "Epoch: 914, MSE_loss: 0.00021730363368988037\n",
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            "Epoch: 917, MSE_loss: 8.594801329309121e-05\n",
            "Epoch: 918, MSE_loss: 5.0062946684192866e-05\n",
            "Epoch: 919, MSE_loss: 3.853545058518648e-05\n",
            "Epoch: 920, MSE_loss: 0.00015081072342582047\n",
            "Epoch: 921, MSE_loss: 3.822061626124196e-05\n",
            "Epoch: 922, MSE_loss: 6.40769285382703e-05\n",
            "Epoch: 923, MSE_loss: 7.19759555067867e-05\n",
            "Epoch: 924, MSE_loss: 5.2712130127474666e-05\n",
            "Epoch: 925, MSE_loss: 8.842669194564223e-05\n",
            "Epoch: 926, MSE_loss: 5.856509233126417e-05\n",
            "Epoch: 927, MSE_loss: 3.518331141094677e-05\n",
            "Epoch: 928, MSE_loss: 3.450050644460134e-05\n",
            "Epoch: 929, MSE_loss: 4.4978911319049075e-05\n",
            "Epoch: 930, MSE_loss: 3.635659959400073e-05\n",
            "Epoch: 931, MSE_loss: 8.950565097620711e-05\n",
            "Epoch: 932, MSE_loss: 3.751767872017808e-05\n",
            "Epoch: 933, MSE_loss: 3.1515090086031705e-05\n",
            "Epoch: 934, MSE_loss: 5.947822501184419e-05\n",
            "Epoch: 935, MSE_loss: 3.0149449230520986e-05\n",
            "Epoch: 936, MSE_loss: 7.75637017795816e-05\n",
            "Epoch: 937, MSE_loss: 6.139366450952366e-05\n",
            "Epoch: 938, MSE_loss: 4.431958222994581e-05\n",
            "Epoch: 939, MSE_loss: 5.8012148656416684e-05\n",
            "Epoch: 940, MSE_loss: 2.3509770471719094e-05\n",
            "Epoch: 941, MSE_loss: 4.668581095756963e-05\n",
            "Epoch: 942, MSE_loss: 6.8090004788246e-05\n",
            "Epoch: 943, MSE_loss: 0.00016868420061655343\n",
            "Epoch: 944, MSE_loss: 3.939469388569705e-05\n",
            "Epoch: 945, MSE_loss: 0.00022586085833609104\n",
            "Epoch: 946, MSE_loss: 2.6003759558079764e-05\n",
            "Epoch: 947, MSE_loss: 8.613082172814757e-05\n",
            "Epoch: 948, MSE_loss: 0.00022773291857447475\n",
            "Epoch: 949, MSE_loss: 5.985633470118046e-05\n",
            "Epoch: 950, MSE_loss: 3.243617538828403e-05\n",
            "Epoch: 951, MSE_loss: 6.486425263574347e-05\n",
            "Epoch: 952, MSE_loss: 5.3048323024995625e-05\n",
            "Epoch: 953, MSE_loss: 3.8210637285374105e-05\n",
            "Epoch: 954, MSE_loss: 4.664372681872919e-05\n",
            "Epoch: 955, MSE_loss: 3.218703932361677e-05\n",
            "Epoch: 956, MSE_loss: 0.0001004065343295224\n",
            "Epoch: 957, MSE_loss: 6.178240437293425e-05\n",
            "Epoch: 958, MSE_loss: 3.10386749333702e-05\n",
            "Epoch: 959, MSE_loss: 3.747974551515654e-05\n",
            "Epoch: 960, MSE_loss: 4.4065116526326165e-05\n",
            "Epoch: 961, MSE_loss: 2.6686479031923227e-05\n",
            "Epoch: 962, MSE_loss: 2.8738337277900428e-05\n",
            "Epoch: 963, MSE_loss: 4.296192491892725e-05\n",
            "Epoch: 964, MSE_loss: 0.00016832936671562493\n",
            "Epoch: 965, MSE_loss: 4.5067852624924853e-05\n",
            "Epoch: 966, MSE_loss: 3.943794217775576e-05\n",
            "Epoch: 967, MSE_loss: 0.00018534382979851216\n",
            "Epoch: 968, MSE_loss: 6.439121352741495e-05\n",
            "Epoch: 969, MSE_loss: 3.373538129380904e-05\n",
            "Epoch: 970, MSE_loss: 3.094437488471158e-05\n",
            "Epoch: 971, MSE_loss: 9.212044096784666e-05\n",
            "Epoch: 972, MSE_loss: 2.8915970688103698e-05\n",
            "Epoch: 973, MSE_loss: 6.719358498230577e-05\n",
            "Epoch: 974, MSE_loss: 3.094060593866743e-05\n",
            "Epoch: 975, MSE_loss: 4.06815015594475e-05\n",
            "Epoch: 976, MSE_loss: 3.96767100028228e-05\n",
            "Epoch: 977, MSE_loss: 2.9332162739592604e-05\n",
            "Epoch: 978, MSE_loss: 0.00018694785831030458\n",
            "Epoch: 979, MSE_loss: 3.5138549719704315e-05\n",
            "Epoch: 980, MSE_loss: 4.495340908761136e-05\n",
            "Epoch: 981, MSE_loss: 2.199683694925625e-05\n",
            "Epoch: 982, MSE_loss: 6.467968341894448e-05\n",
            "Epoch: 983, MSE_loss: 0.00011053068010369316\n",
            "Epoch: 984, MSE_loss: 5.4242809710558504e-05\n",
            "Epoch: 985, MSE_loss: 4.943812018609606e-05\n",
            "Epoch: 986, MSE_loss: 0.00011753162834793329\n",
            "Epoch: 987, MSE_loss: 1.7227708667633124e-05\n",
            "Epoch: 988, MSE_loss: 2.565608338045422e-05\n",
            "Epoch: 989, MSE_loss: 4.8956837417790666e-05\n",
            "Epoch: 990, MSE_loss: 3.850441862596199e-05\n",
            "Epoch: 991, MSE_loss: 3.0326516935019754e-05\n",
            "Epoch: 992, MSE_loss: 8.347886614501476e-05\n",
            "Epoch: 993, MSE_loss: 4.2197469156235456e-05\n",
            "Epoch: 994, MSE_loss: 3.199876664439216e-05\n",
            "Epoch: 995, MSE_loss: 1.948930002981797e-05\n",
            "Epoch: 996, MSE_loss: 5.414383485913277e-05\n",
            "Epoch: 997, MSE_loss: 1.6515967217856087e-05\n",
            "Epoch: 998, MSE_loss: 9.823578875511885e-05\n",
            "Epoch: 999, MSE_loss: 9.082627366296947e-05\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Epoch: 0, MSE_loss: 1.1446373462677002\n",
            "Epoch: 1, MSE_loss: 0.808949887752533\n",
            "Epoch: 2, MSE_loss: 1.009730339050293\n",
            "Epoch: 3, MSE_loss: 0.852157711982727\n",
            "Epoch: 4, MSE_loss: 0.7452395558357239\n",
            "Epoch: 5, MSE_loss: 0.8428168296813965\n",
            "Epoch: 6, MSE_loss: 0.7091805338859558\n",
            "Epoch: 7, MSE_loss: 0.6868456602096558\n",
            "Epoch: 8, MSE_loss: 0.7522613406181335\n",
            "Epoch: 9, MSE_loss: 0.4944725036621094\n",
            "Epoch: 10, MSE_loss: 0.6221898794174194\n",
            "Epoch: 11, MSE_loss: 0.5051019191741943\n",
            "Epoch: 12, MSE_loss: 0.5837021470069885\n",
            "Epoch: 13, MSE_loss: 0.4097296893596649\n",
            "Epoch: 14, MSE_loss: 0.42857468128204346\n",
            "Epoch: 15, MSE_loss: 0.36888957023620605\n",
            "Epoch: 16, MSE_loss: 0.4588300585746765\n",
            "Epoch: 17, MSE_loss: 0.5004395246505737\n",
            "Epoch: 18, MSE_loss: 0.5244771242141724\n",
            "Epoch: 19, MSE_loss: 0.299171507358551\n",
            "Epoch: 20, MSE_loss: 0.2966318428516388\n",
            "Epoch: 21, MSE_loss: 0.373697966337204\n",
            "Epoch: 22, MSE_loss: 0.20536105334758759\n",
            "Epoch: 23, MSE_loss: 0.16383078694343567\n",
            "Epoch: 24, MSE_loss: 0.2283255010843277\n",
            "Epoch: 25, MSE_loss: 0.22169229388237\n",
            "Epoch: 26, MSE_loss: 0.15779045224189758\n",
            "Epoch: 27, MSE_loss: 0.19621530175209045\n",
            "Epoch: 28, MSE_loss: 0.17598874866962433\n",
            "Epoch: 29, MSE_loss: 0.18829621374607086\n",
            "Epoch: 30, MSE_loss: 0.1468609869480133\n",
            "Epoch: 31, MSE_loss: 0.13783812522888184\n",
            "Epoch: 32, MSE_loss: 0.16682401299476624\n",
            "Epoch: 33, MSE_loss: 0.1072719395160675\n",
            "Epoch: 34, MSE_loss: 0.0913117304444313\n",
            "Epoch: 35, MSE_loss: 0.08817897737026215\n",
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            "Epoch: 895, MSE_loss: 2.702090341699659e-06\n",
            "Epoch: 896, MSE_loss: 3.782161911658477e-06\n",
            "Epoch: 897, MSE_loss: 6.271364327403717e-06\n",
            "Epoch: 898, MSE_loss: 9.015224350150675e-06\n",
            "Epoch: 899, MSE_loss: 1.0041405403171666e-05\n",
            "Epoch: 900, MSE_loss: 1.1364308193151373e-05\n",
            "Epoch: 901, MSE_loss: 5.553046776185511e-06\n",
            "Epoch: 902, MSE_loss: 4.57329178971122e-06\n",
            "Epoch: 903, MSE_loss: 4.361595529189799e-06\n",
            "Epoch: 904, MSE_loss: 8.189510481315665e-06\n",
            "Epoch: 905, MSE_loss: 7.769725016260054e-06\n",
            "Epoch: 906, MSE_loss: 2.629001573950518e-05\n",
            "Epoch: 907, MSE_loss: 8.710236215847544e-06\n",
            "Epoch: 908, MSE_loss: 1.162232001661323e-05\n",
            "Epoch: 909, MSE_loss: 4.8402007450931706e-06\n",
            "Epoch: 910, MSE_loss: 3.286691480752779e-06\n",
            "Epoch: 911, MSE_loss: 4.709203949460061e-06\n",
            "Epoch: 912, MSE_loss: 9.216892067342997e-06\n",
            "Epoch: 913, MSE_loss: 2.6780848202179186e-05\n",
            "Epoch: 914, MSE_loss: 3.996194573119283e-05\n",
            "Epoch: 915, MSE_loss: 2.673674316611141e-06\n",
            "Epoch: 916, MSE_loss: 2.217605651821941e-05\n",
            "Epoch: 917, MSE_loss: 1.4549476873071399e-05\n",
            "Epoch: 918, MSE_loss: 7.646566700714175e-06\n",
            "Epoch: 919, MSE_loss: 8.558737135899719e-06\n",
            "Epoch: 920, MSE_loss: 2.6741383408079855e-05\n",
            "Epoch: 921, MSE_loss: 4.672180239140289e-06\n",
            "Epoch: 922, MSE_loss: 1.2457741831894964e-05\n",
            "Epoch: 923, MSE_loss: 8.873325896274764e-06\n",
            "Epoch: 924, MSE_loss: 7.35181538402685e-06\n",
            "Epoch: 925, MSE_loss: 1.424521269655088e-05\n",
            "Epoch: 926, MSE_loss: 5.6524677347624674e-06\n",
            "Epoch: 927, MSE_loss: 4.75114529763232e-06\n",
            "Epoch: 928, MSE_loss: 9.142683666141238e-06\n",
            "Epoch: 929, MSE_loss: 7.938121598272119e-06\n",
            "Epoch: 930, MSE_loss: 6.418806606234284e-06\n",
            "Epoch: 931, MSE_loss: 1.2241466720297467e-05\n",
            "Epoch: 932, MSE_loss: 6.330284577416023e-06\n",
            "Epoch: 933, MSE_loss: 8.60077216202626e-06\n",
            "Epoch: 934, MSE_loss: 8.47461251396453e-06\n",
            "Epoch: 935, MSE_loss: 6.3215557020157576e-06\n",
            "Epoch: 936, MSE_loss: 1.4122519132797606e-05\n",
            "Epoch: 937, MSE_loss: 1.7589452909305692e-05\n",
            "Epoch: 938, MSE_loss: 1.11017225208343e-05\n",
            "Epoch: 939, MSE_loss: 1.011131280392874e-05\n",
            "Epoch: 940, MSE_loss: 7.352621651079971e-06\n",
            "Epoch: 941, MSE_loss: 8.980052371043712e-06\n",
            "Epoch: 942, MSE_loss: 8.692800292919856e-06\n",
            "Epoch: 943, MSE_loss: 3.0499237254844047e-05\n",
            "Epoch: 944, MSE_loss: 7.724085662630387e-06\n",
            "Epoch: 945, MSE_loss: 4.0524428186472505e-05\n",
            "Epoch: 946, MSE_loss: 3.4079589568136726e-06\n",
            "Epoch: 947, MSE_loss: 1.6693118595867418e-05\n",
            "Epoch: 948, MSE_loss: 4.174034984316677e-05\n",
            "Epoch: 949, MSE_loss: 1.6594765838817693e-05\n",
            "Epoch: 950, MSE_loss: 3.288981361038168e-06\n",
            "Epoch: 951, MSE_loss: 1.1897204785782378e-05\n",
            "Epoch: 952, MSE_loss: 7.3507067099853884e-06\n",
            "Epoch: 953, MSE_loss: 6.73389331495855e-06\n",
            "Epoch: 954, MSE_loss: 7.327500497922301e-06\n",
            "Epoch: 955, MSE_loss: 1.1382899174350314e-05\n",
            "Epoch: 956, MSE_loss: 1.7693339032121003e-05\n",
            "Epoch: 957, MSE_loss: 1.0357775863667484e-05\n",
            "Epoch: 958, MSE_loss: 3.0038977456570137e-06\n",
            "Epoch: 959, MSE_loss: 4.486600573727628e-06\n",
            "Epoch: 960, MSE_loss: 6.046438102202956e-06\n",
            "Epoch: 961, MSE_loss: 5.818948920932598e-06\n",
            "Epoch: 962, MSE_loss: 6.358261089189909e-06\n",
            "Epoch: 963, MSE_loss: 6.717405085510109e-06\n",
            "Epoch: 964, MSE_loss: 2.4894863599911332e-05\n",
            "Epoch: 965, MSE_loss: 8.539899681636598e-06\n",
            "Epoch: 966, MSE_loss: 7.982375791470986e-06\n",
            "Epoch: 967, MSE_loss: 2.8012054826831445e-05\n",
            "Epoch: 968, MSE_loss: 6.6202564994455315e-06\n",
            "Epoch: 969, MSE_loss: 6.177425348141696e-06\n",
            "Epoch: 970, MSE_loss: 4.555246050585993e-06\n",
            "Epoch: 971, MSE_loss: 1.4882652067171875e-05\n",
            "Epoch: 972, MSE_loss: 4.3190807446080726e-06\n",
            "Epoch: 973, MSE_loss: 1.084700215869816e-05\n",
            "Epoch: 974, MSE_loss: 5.908452749281423e-06\n",
            "Epoch: 975, MSE_loss: 6.312084224191494e-06\n",
            "Epoch: 976, MSE_loss: 5.3504586503549945e-06\n",
            "Epoch: 977, MSE_loss: 3.1108622806641506e-06\n",
            "Epoch: 978, MSE_loss: 3.280143573647365e-05\n",
            "Epoch: 979, MSE_loss: 4.605558387993369e-06\n",
            "Epoch: 980, MSE_loss: 6.759787083865376e-06\n",
            "Epoch: 981, MSE_loss: 5.606433660432231e-06\n",
            "Epoch: 982, MSE_loss: 9.05592787603382e-06\n",
            "Epoch: 983, MSE_loss: 1.6478841644129716e-05\n",
            "Epoch: 984, MSE_loss: 6.082308118493529e-06\n",
            "Epoch: 985, MSE_loss: 5.719056389352772e-06\n",
            "Epoch: 986, MSE_loss: 1.9007866285392083e-05\n",
            "Epoch: 987, MSE_loss: 4.733918103738688e-06\n",
            "Epoch: 988, MSE_loss: 4.786395493283635e-06\n",
            "Epoch: 989, MSE_loss: 8.75303248903947e-06\n",
            "Epoch: 990, MSE_loss: 6.457353265432175e-06\n",
            "Epoch: 991, MSE_loss: 4.707229436462512e-06\n",
            "Epoch: 992, MSE_loss: 1.3581528946815524e-05\n",
            "Epoch: 993, MSE_loss: 7.771432137815282e-06\n",
            "Epoch: 994, MSE_loss: 3.939214366255328e-06\n",
            "Epoch: 995, MSE_loss: 4.485877525439719e-06\n",
            "Epoch: 996, MSE_loss: 1.0434243449708447e-05\n",
            "Epoch: 997, MSE_loss: 2.2999217890173895e-06\n",
            "Epoch: 998, MSE_loss: 1.7240190572920255e-05\n",
            "Epoch: 999, MSE_loss: 1.1397992238926236e-05\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Epoch: 0, MSE_loss: 2.8913676738739014\n",
            "Epoch: 1, MSE_loss: 3.292165994644165\n",
            "Epoch: 2, MSE_loss: 3.0703439712524414\n",
            "Epoch: 3, MSE_loss: 2.7877438068389893\n",
            "Epoch: 4, MSE_loss: 2.687584161758423\n",
            "Epoch: 5, MSE_loss: 2.2626452445983887\n",
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            "Epoch: 878, MSE_loss: 6.554034189321101e-05\n",
            "Epoch: 879, MSE_loss: 2.102692633343395e-05\n",
            "Epoch: 880, MSE_loss: 1.0695804121496622e-05\n",
            "Epoch: 881, MSE_loss: 3.0081073418841697e-05\n",
            "Epoch: 882, MSE_loss: 1.6729520211811177e-05\n",
            "Epoch: 883, MSE_loss: 2.3558044631499797e-05\n",
            "Epoch: 884, MSE_loss: 3.1011477403808385e-05\n",
            "Epoch: 885, MSE_loss: 1.6448871974716894e-05\n",
            "Epoch: 886, MSE_loss: 0.00014533982903230935\n",
            "Epoch: 887, MSE_loss: 2.1106616259203292e-05\n",
            "Epoch: 888, MSE_loss: 1.917362715175841e-05\n",
            "Epoch: 889, MSE_loss: 9.861600119620562e-06\n",
            "Epoch: 890, MSE_loss: 2.1175510482862592e-05\n",
            "Epoch: 891, MSE_loss: 1.5613222785759717e-05\n",
            "Epoch: 892, MSE_loss: 3.9118127460824326e-05\n",
            "Epoch: 893, MSE_loss: 2.111573121510446e-05\n",
            "Epoch: 894, MSE_loss: 1.652071841817815e-05\n",
            "Epoch: 895, MSE_loss: 2.19152461795602e-05\n",
            "Epoch: 896, MSE_loss: 1.0268695405102335e-05\n",
            "Epoch: 897, MSE_loss: 5.277087620925158e-05\n",
            "Epoch: 898, MSE_loss: 1.8311262465431355e-05\n",
            "Epoch: 899, MSE_loss: 1.1569708476599772e-05\n",
            "Epoch: 900, MSE_loss: 3.481029852991924e-05\n",
            "Epoch: 901, MSE_loss: 3.0343113394337706e-05\n",
            "Epoch: 902, MSE_loss: 3.0755854822928086e-05\n",
            "Epoch: 903, MSE_loss: 1.618308488104958e-05\n",
            "Epoch: 904, MSE_loss: 2.010650496231392e-05\n",
            "Epoch: 905, MSE_loss: 2.759559174592141e-05\n",
            "Epoch: 906, MSE_loss: 6.30682916380465e-05\n",
            "Epoch: 907, MSE_loss: 1.912819607241545e-05\n",
            "Epoch: 908, MSE_loss: 2.8545713576022536e-05\n",
            "Epoch: 909, MSE_loss: 1.4077540981816128e-05\n",
            "Epoch: 910, MSE_loss: 2.7345460694050416e-05\n",
            "Epoch: 911, MSE_loss: 1.4994146113167517e-05\n",
            "Epoch: 912, MSE_loss: 2.205209602834657e-05\n",
            "Epoch: 913, MSE_loss: 6.093318006605841e-05\n",
            "Epoch: 914, MSE_loss: 8.718001481611282e-05\n",
            "Epoch: 915, MSE_loss: 1.0779445801745169e-05\n",
            "Epoch: 916, MSE_loss: 4.430339686223306e-05\n",
            "Epoch: 917, MSE_loss: 6.21938961558044e-05\n",
            "Epoch: 918, MSE_loss: 2.3079932361724786e-05\n",
            "Epoch: 919, MSE_loss: 2.4082803065539338e-05\n",
            "Epoch: 920, MSE_loss: 6.060325540602207e-05\n",
            "Epoch: 921, MSE_loss: 1.7014177501550876e-05\n",
            "Epoch: 922, MSE_loss: 2.3693299226579256e-05\n",
            "Epoch: 923, MSE_loss: 3.169649062328972e-05\n",
            "Epoch: 924, MSE_loss: 2.5152678063022904e-05\n",
            "Epoch: 925, MSE_loss: 4.193356289761141e-05\n",
            "Epoch: 926, MSE_loss: 2.9181650461396202e-05\n",
            "Epoch: 927, MSE_loss: 1.7218007997144014e-05\n",
            "Epoch: 928, MSE_loss: 1.3684633813682012e-05\n",
            "Epoch: 929, MSE_loss: 3.649192876764573e-05\n",
            "Epoch: 930, MSE_loss: 1.7131087588495575e-05\n",
            "Epoch: 931, MSE_loss: 3.8680602301610634e-05\n",
            "Epoch: 932, MSE_loss: 1.695241007837467e-05\n",
            "Epoch: 933, MSE_loss: 1.9481629351503216e-05\n",
            "Epoch: 934, MSE_loss: 2.8133736122981645e-05\n",
            "Epoch: 935, MSE_loss: 1.6676420273142867e-05\n",
            "Epoch: 936, MSE_loss: 6.896015838719904e-05\n",
            "Epoch: 937, MSE_loss: 1.772216273820959e-05\n",
            "Epoch: 938, MSE_loss: 3.0445511583820917e-05\n",
            "Epoch: 939, MSE_loss: 2.9689435905311257e-05\n",
            "Epoch: 940, MSE_loss: 1.1238902516197413e-05\n",
            "Epoch: 941, MSE_loss: 2.2237567463889718e-05\n",
            "Epoch: 942, MSE_loss: 3.273825495853089e-05\n",
            "Epoch: 943, MSE_loss: 7.585434650536627e-05\n",
            "Epoch: 944, MSE_loss: 1.7974049114855006e-05\n",
            "Epoch: 945, MSE_loss: 8.948909089667723e-05\n",
            "Epoch: 946, MSE_loss: 1.3906265849072952e-05\n",
            "Epoch: 947, MSE_loss: 4.092696326551959e-05\n",
            "Epoch: 948, MSE_loss: 9.831147326622158e-05\n",
            "Epoch: 949, MSE_loss: 2.484189099050127e-05\n",
            "Epoch: 950, MSE_loss: 1.1225636626477353e-05\n",
            "Epoch: 951, MSE_loss: 2.822303395078052e-05\n",
            "Epoch: 952, MSE_loss: 3.436018596403301e-05\n",
            "Epoch: 953, MSE_loss: 1.6906376913539134e-05\n",
            "Epoch: 954, MSE_loss: 3.0102082746452652e-05\n",
            "Epoch: 955, MSE_loss: 1.3525082977139391e-05\n",
            "Epoch: 956, MSE_loss: 6.254356412682682e-05\n",
            "Epoch: 957, MSE_loss: 3.602063952712342e-05\n",
            "Epoch: 958, MSE_loss: 1.2325888747000135e-05\n",
            "Epoch: 959, MSE_loss: 1.7787007891456597e-05\n",
            "Epoch: 960, MSE_loss: 2.266130832140334e-05\n",
            "Epoch: 961, MSE_loss: 1.2216081813676283e-05\n",
            "Epoch: 962, MSE_loss: 1.3221968401921913e-05\n",
            "Epoch: 963, MSE_loss: 2.97348069580039e-05\n",
            "Epoch: 964, MSE_loss: 7.165478018578142e-05\n",
            "Epoch: 965, MSE_loss: 1.8638707842910662e-05\n",
            "Epoch: 966, MSE_loss: 1.821936348278541e-05\n",
            "Epoch: 967, MSE_loss: 7.514725439250469e-05\n",
            "Epoch: 968, MSE_loss: 3.5816676245303825e-05\n",
            "Epoch: 969, MSE_loss: 1.7451162420911714e-05\n",
            "Epoch: 970, MSE_loss: 2.2935417291591875e-05\n",
            "Epoch: 971, MSE_loss: 3.6677643947768956e-05\n",
            "Epoch: 972, MSE_loss: 1.1405218174331822e-05\n",
            "Epoch: 973, MSE_loss: 2.413626316410955e-05\n",
            "Epoch: 974, MSE_loss: 2.684585706447251e-05\n",
            "Epoch: 975, MSE_loss: 2.0077170120202936e-05\n",
            "Epoch: 976, MSE_loss: 1.527047061244957e-05\n",
            "Epoch: 977, MSE_loss: 1.3115019100951031e-05\n",
            "Epoch: 978, MSE_loss: 7.752177771180868e-05\n",
            "Epoch: 979, MSE_loss: 1.2009692909487057e-05\n",
            "Epoch: 980, MSE_loss: 2.7786551072495058e-05\n",
            "Epoch: 981, MSE_loss: 7.93475737737026e-06\n",
            "Epoch: 982, MSE_loss: 3.151519922539592e-05\n",
            "Epoch: 983, MSE_loss: 4.26679544034414e-05\n",
            "Epoch: 984, MSE_loss: 1.8927121345768683e-05\n",
            "Epoch: 985, MSE_loss: 1.7870061128633097e-05\n",
            "Epoch: 986, MSE_loss: 5.498324753716588e-05\n",
            "Epoch: 987, MSE_loss: 4.961506874678889e-06\n",
            "Epoch: 988, MSE_loss: 1.615651672182139e-05\n",
            "Epoch: 989, MSE_loss: 3.54232506651897e-05\n",
            "Epoch: 990, MSE_loss: 1.9763439922826365e-05\n",
            "Epoch: 991, MSE_loss: 1.0411937182652764e-05\n",
            "Epoch: 992, MSE_loss: 4.455952876014635e-05\n",
            "Epoch: 993, MSE_loss: 2.7465028324513696e-05\n",
            "Epoch: 994, MSE_loss: 1.9053773939958774e-05\n",
            "Epoch: 995, MSE_loss: 1.3930818568042014e-05\n",
            "Epoch: 996, MSE_loss: 1.8061422451864928e-05\n",
            "Epoch: 997, MSE_loss: 7.419194844260346e-06\n",
            "Epoch: 998, MSE_loss: 4.3690459278877825e-05\n",
            "Epoch: 999, MSE_loss: 3.649394056992605e-05\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Epoch: 0, MSE_loss: 1.039333462715149\n",
            "Epoch: 1, MSE_loss: 1.1661854982376099\n",
            "Epoch: 2, MSE_loss: 1.0221892595291138\n",
            "Epoch: 3, MSE_loss: 0.9072962999343872\n",
            "Epoch: 4, MSE_loss: 0.8041689395904541\n",
            "Epoch: 5, MSE_loss: 0.6866822838783264\n",
            "Epoch: 6, MSE_loss: 0.6427953839302063\n",
            "Epoch: 7, MSE_loss: 0.6356982588768005\n",
            "Epoch: 8, MSE_loss: 0.5013357400894165\n",
            "Epoch: 9, MSE_loss: 0.542446494102478\n",
            "Epoch: 10, MSE_loss: 0.5408317446708679\n",
            "Epoch: 11, MSE_loss: 0.4090956151485443\n",
            "Epoch: 12, MSE_loss: 0.41516679525375366\n",
            "Epoch: 13, MSE_loss: 0.3617488741874695\n",
            "Epoch: 14, MSE_loss: 0.38893625140190125\n",
            "Epoch: 15, MSE_loss: 0.2905605733394623\n",
            "Epoch: 16, MSE_loss: 0.2975054085254669\n",
            "Epoch: 17, MSE_loss: 0.23690682649612427\n",
            "Epoch: 18, MSE_loss: 0.24277175962924957\n",
            "Epoch: 19, MSE_loss: 0.21387794613838196\n",
            "Epoch: 20, MSE_loss: 0.20521941781044006\n",
            "Epoch: 21, MSE_loss: 0.19652700424194336\n",
            "Epoch: 22, MSE_loss: 0.17133399844169617\n",
            "Epoch: 23, MSE_loss: 0.16535481810569763\n",
            "Epoch: 24, MSE_loss: 0.12760920822620392\n",
            "Epoch: 25, MSE_loss: 0.11819622665643692\n",
            "Epoch: 26, MSE_loss: 0.13092854619026184\n",
            "Epoch: 27, MSE_loss: 0.09771932661533356\n",
            "Epoch: 28, MSE_loss: 0.09916125982999802\n",
            "Epoch: 29, MSE_loss: 0.07497937232255936\n",
            "Epoch: 30, MSE_loss: 0.07565685361623764\n",
            "Epoch: 31, MSE_loss: 0.07314743101596832\n",
            "Epoch: 32, MSE_loss: 0.04993818327784538\n",
            "Epoch: 33, MSE_loss: 0.052266135811805725\n",
            "Epoch: 34, MSE_loss: 0.04601474478840828\n",
            "Epoch: 35, MSE_loss: 0.033971138298511505\n",
            "Epoch: 36, MSE_loss: 0.038783758878707886\n",
            "Epoch: 37, MSE_loss: 0.028981084004044533\n",
            "Epoch: 38, MSE_loss: 0.02816759981215\n",
            "Epoch: 39, MSE_loss: 0.022762451320886612\n",
            "Epoch: 40, MSE_loss: 0.028858337551355362\n",
            "Epoch: 41, MSE_loss: 0.027207044884562492\n",
            "Epoch: 42, MSE_loss: 0.02108677849173546\n",
            "Epoch: 43, MSE_loss: 0.017690936103463173\n",
            "Epoch: 44, MSE_loss: 0.025627609342336655\n",
            "Epoch: 45, MSE_loss: 0.013011138886213303\n",
            "Epoch: 46, MSE_loss: 0.010648724623024464\n",
            "Epoch: 47, MSE_loss: 0.020007308572530746\n",
            "Epoch: 48, MSE_loss: 0.010659534484148026\n",
            "Epoch: 49, MSE_loss: 0.00997103936970234\n",
            "Epoch: 50, MSE_loss: 0.0066994265653193\n",
            "Epoch: 51, MSE_loss: 0.00806382205337286\n",
            "Epoch: 52, MSE_loss: 0.006797967478632927\n",
            "Epoch: 53, MSE_loss: 0.008694452233612537\n",
            "Epoch: 54, MSE_loss: 0.00905428733676672\n",
            "Epoch: 55, MSE_loss: 0.0037993292789906263\n",
            "Epoch: 56, MSE_loss: 0.0036668013781309128\n",
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            "Epoch: 903, MSE_loss: 2.3741374661767622e-06\n",
            "Epoch: 904, MSE_loss: 2.4307280455104774e-06\n",
            "Epoch: 905, MSE_loss: 3.704985601871158e-06\n",
            "Epoch: 906, MSE_loss: 2.149327201550477e-06\n",
            "Epoch: 907, MSE_loss: 2.0897434751532273e-06\n",
            "Epoch: 908, MSE_loss: 1.4919205568730831e-06\n",
            "Epoch: 909, MSE_loss: 4.207715846860083e-06\n",
            "Epoch: 910, MSE_loss: 5.667040568368975e-06\n",
            "Epoch: 911, MSE_loss: 1.2813559351343429e-06\n",
            "Epoch: 912, MSE_loss: 2.069585434583132e-06\n",
            "Epoch: 913, MSE_loss: 3.116572543149232e-06\n",
            "Epoch: 914, MSE_loss: 3.353692591190338e-06\n",
            "Epoch: 915, MSE_loss: 2.5214351353497477e-06\n",
            "Epoch: 916, MSE_loss: 1.8176959883930977e-06\n",
            "Epoch: 917, MSE_loss: 1.1582967090362217e-05\n",
            "Epoch: 918, MSE_loss: 2.8200993256177753e-06\n",
            "Epoch: 919, MSE_loss: 5.311261702445336e-06\n",
            "Epoch: 920, MSE_loss: 1.4382848121385905e-06\n",
            "Epoch: 921, MSE_loss: 1.7888675074573257e-06\n",
            "Epoch: 922, MSE_loss: 2.965952035083319e-06\n",
            "Epoch: 923, MSE_loss: 2.7694802611222258e-06\n",
            "Epoch: 924, MSE_loss: 2.4723808564885985e-06\n",
            "Epoch: 925, MSE_loss: 2.230058498753351e-06\n",
            "Epoch: 926, MSE_loss: 1.9665719719341723e-06\n",
            "Epoch: 927, MSE_loss: 1.8943211443911423e-06\n",
            "Epoch: 928, MSE_loss: 2.8094564186176285e-06\n",
            "Epoch: 929, MSE_loss: 1.1819515748356935e-05\n",
            "Epoch: 930, MSE_loss: 1.992956413232605e-06\n",
            "Epoch: 931, MSE_loss: 2.731190761551261e-06\n",
            "Epoch: 932, MSE_loss: 2.1224816464382457e-06\n",
            "Epoch: 933, MSE_loss: 2.8687329631793546e-06\n",
            "Epoch: 934, MSE_loss: 3.109521003352711e-06\n",
            "Epoch: 935, MSE_loss: 2.228861603725818e-06\n",
            "Epoch: 936, MSE_loss: 1.124011123465607e-05\n",
            "Epoch: 937, MSE_loss: 3.026640342795872e-06\n",
            "Epoch: 938, MSE_loss: 7.39920051273657e-06\n",
            "Epoch: 939, MSE_loss: 6.073607437429018e-06\n",
            "Epoch: 940, MSE_loss: 2.504667236280511e-06\n",
            "Epoch: 941, MSE_loss: 7.14979478289024e-06\n",
            "Epoch: 942, MSE_loss: 3.983843271271326e-06\n",
            "Epoch: 943, MSE_loss: 4.152500878262799e-06\n",
            "Epoch: 944, MSE_loss: 2.16534931496426e-06\n",
            "Epoch: 945, MSE_loss: 5.301479177433066e-06\n",
            "Epoch: 946, MSE_loss: 1.906932880046952e-06\n",
            "Epoch: 947, MSE_loss: 2.02353567146929e-06\n",
            "Epoch: 948, MSE_loss: 4.507263383857207e-06\n",
            "Epoch: 949, MSE_loss: 1.4685548421766725e-06\n",
            "Epoch: 950, MSE_loss: 1.3252083590487018e-06\n",
            "Epoch: 951, MSE_loss: 7.65012919146102e-06\n",
            "Epoch: 952, MSE_loss: 1.0162872058572248e-05\n",
            "Epoch: 953, MSE_loss: 2.311086745976354e-06\n",
            "Epoch: 954, MSE_loss: 5.5859873100416735e-06\n",
            "Epoch: 955, MSE_loss: 8.464467100566253e-06\n",
            "Epoch: 956, MSE_loss: 7.493518296541879e-06\n",
            "Epoch: 957, MSE_loss: 6.426964318961836e-06\n",
            "Epoch: 958, MSE_loss: 3.072693971262197e-06\n",
            "Epoch: 959, MSE_loss: 3.6019009712617844e-06\n",
            "Epoch: 960, MSE_loss: 3.834183644357836e-06\n",
            "Epoch: 961, MSE_loss: 4.018871550215408e-06\n",
            "Epoch: 962, MSE_loss: 5.67277311347425e-06\n",
            "Epoch: 963, MSE_loss: 2.1010246200603433e-06\n",
            "Epoch: 964, MSE_loss: 1.8956920939672273e-06\n",
            "Epoch: 965, MSE_loss: 2.255687377328286e-06\n",
            "Epoch: 966, MSE_loss: 2.5838216970441863e-06\n",
            "Epoch: 967, MSE_loss: 3.1667800612922292e-06\n",
            "Epoch: 968, MSE_loss: 5.834061539644608e-06\n",
            "Epoch: 969, MSE_loss: 2.987316520375316e-06\n",
            "Epoch: 970, MSE_loss: 3.7435015656228643e-06\n",
            "Epoch: 971, MSE_loss: 9.321863103650685e-07\n",
            "Epoch: 972, MSE_loss: 1.6881808733160142e-06\n",
            "Epoch: 973, MSE_loss: 3.4132744985981844e-06\n",
            "Epoch: 974, MSE_loss: 6.124003903096309e-06\n",
            "Epoch: 975, MSE_loss: 1.8341330587645643e-06\n",
            "Epoch: 976, MSE_loss: 2.261331246700138e-06\n",
            "Epoch: 977, MSE_loss: 3.0246212645579362e-06\n",
            "Epoch: 978, MSE_loss: 3.7698539472330594e-06\n",
            "Epoch: 979, MSE_loss: 1.5416522956002154e-06\n",
            "Epoch: 980, MSE_loss: 2.4339092306036036e-06\n",
            "Epoch: 981, MSE_loss: 2.0295492504374124e-06\n",
            "Epoch: 982, MSE_loss: 2.5581634872651193e-06\n",
            "Epoch: 983, MSE_loss: 1.327314748778008e-06\n",
            "Epoch: 984, MSE_loss: 1.3692621223526658e-06\n",
            "Epoch: 985, MSE_loss: 3.8036475871194853e-06\n",
            "Epoch: 986, MSE_loss: 3.0013741252332693e-06\n",
            "Epoch: 987, MSE_loss: 1.7573175910001737e-06\n",
            "Epoch: 988, MSE_loss: 2.6914974569081096e-06\n",
            "Epoch: 989, MSE_loss: 7.337109764193883e-06\n",
            "Epoch: 990, MSE_loss: 3.9895435293146875e-06\n",
            "Epoch: 991, MSE_loss: 1.6342323760909494e-06\n",
            "Epoch: 992, MSE_loss: 2.1948733319732128e-06\n",
            "Epoch: 993, MSE_loss: 5.182652785151731e-06\n",
            "Epoch: 994, MSE_loss: 2.9733712381130317e-06\n",
            "Epoch: 995, MSE_loss: 4.965272182744229e-06\n",
            "Epoch: 996, MSE_loss: 1.3530762998925638e-06\n",
            "Epoch: 997, MSE_loss: 2.1890436983085237e-06\n",
            "Epoch: 998, MSE_loss: 4.912040822091512e-06\n",
            "Epoch: 999, MSE_loss: 3.205791244909051e-06\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 814
        },
        "id": "xHLeXdG6UHin",
        "outputId": "f47a290b-c888-4a13-b2e2-cedd843d288a"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1200x800 with 6 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "latex_strings = [\"f(x) = tanh(10x + 0.5 + ReLU(x^2) \\cdot 10)\",\n",
        "                 \"g(x) = \\sin(x) + \\cos(5x) \\cdot e^{-x^2} + ReLU(x - 0.5)\",\n",
        "                 \"h(x) = \\sigma(3x) + ReLU(\\sin(2x) + x^3)\",\n",
        "                 \"k(x) = tanh(5x - 2) + 3 \\cdot ReLU(\\cos(x^2))\",\n",
        "                 \"m(x) = Softplus(x^2 - 1) + tanh(4x + 0.1)\",\n",
        "                 \"n(x) = e^{-x^2 + 0.3x} + ReLU(tanh(2x - 1))\"\n",
        "                 ]\n",
        "\n",
        "plt.rcParams.update({'font.size': 14})\n",
        "fig, axs = plt.subplots(3, 2, figsize=(12, 8))\n",
        "x = np.linspace(-1., 1., 200)\n",
        "for i, (y_vals, latex_str, function) in enumerate(zip(all_y_vals, latex_strings, functions)):\n",
        "    ax = axs[i // 2, i % 2]\n",
        "    ax.plot(x, y_vals.to('cpu').numpy(), label='SineKAN Fit', linewidth=3)\n",
        "    ax.plot(x, function(torch.from_numpy(x)).to('cpu').numpy(), label=f\"${latex_str}$\", linestyle='--', linewidth=3)\n",
        "    ax.text(0.05, 0.95, f\"({chr(97+i)})\", transform=ax.transAxes, fontsize=28,\n",
        "            verticalalignment='top')\n",
        "    ax.set_xlim(-1, 1)\n",
        "    ax.legend(framealpha=0.3, loc='lower right')\n",
        "    ax.grid(True)\n",
        "\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "5IC2mPcVutFn"
      },
      "execution_count": null,
      "outputs": []
    }
  ]
}