1496 lines
96 KiB
Plaintext
1496 lines
96 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"id": "a11ebdff",
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"metadata": {},
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"source": [
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"## Manual approach"
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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": 105,
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"id": "3163fb75",
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"metadata": {},
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"outputs": [],
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"source": [
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"import torch\n",
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"\n",
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"X = torch.tensor([[0.0],[10.0], [20.0], [30.0], [40.0]])\n",
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"Y = torch.tensor([[32.0], [50.0], [68.0], [86.0], [104.0]])"
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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": 106,
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"id": "64a02514",
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"metadata": {},
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"outputs": [],
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"source": [
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"W = torch.randn((1, 1), requires_grad=True)\n",
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"B = torch.randn((1, 1), requires_grad=True)"
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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": 107,
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"id": "35200e59",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Epoch 0: Loss = 3445.2056\n",
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"Epoch 400: Loss = 223.5457\n",
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"Epoch 800: Loss = 131.1967\n",
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"Epoch 1200: Loss = 76.9979\n",
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"Epoch 1600: Loss = 45.1893\n",
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"Epoch 2000: Loss = 26.5212\n",
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"Epoch 2400: Loss = 15.5650\n",
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"Epoch 2800: Loss = 9.1350\n",
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"Epoch 3200: Loss = 5.3611\n",
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"Epoch 3600: Loss = 3.1464\n",
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"Epoch 4000: Loss = 1.8466\n",
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"Epoch 4400: Loss = 1.0837\n",
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"Epoch 4800: Loss = 0.6360\n",
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"Epoch 5200: Loss = 0.3733\n",
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"Epoch 5600: Loss = 0.2191\n",
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"Epoch 6000: Loss = 0.1286\n",
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"Epoch 6400: Loss = 0.0755\n",
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"Epoch 6800: Loss = 0.0443\n",
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"Epoch 7200: Loss = 0.0260\n",
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"Epoch 7600: Loss = 0.0153\n",
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"Epoch 8000: Loss = 0.0090\n",
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"Epoch 8400: Loss = 0.0053\n",
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"Epoch 8800: Loss = 0.0031\n",
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"Epoch 9200: Loss = 0.0018\n",
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"Epoch 9600: Loss = 0.0011\n",
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"Epoch 10000: Loss = 0.0006\n",
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"Epoch 10400: Loss = 0.0004\n",
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"Epoch 10800: Loss = 0.0002\n",
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"Epoch 11200: Loss = 0.0001\n",
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"Epoch 11600: Loss = 0.0001\n",
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"Epoch 12000: Loss = 0.0000\n",
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"Epoch 12400: Loss = 0.0000\n",
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"Epoch 12800: Loss = 0.0000\n",
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"Epoch 13200: Loss = 0.0000\n",
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"Epoch 13600: Loss = 0.0000\n",
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"Epoch 14000: Loss = 0.0000\n",
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"Epoch 14400: Loss = 0.0000\n",
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"Epoch 14800: Loss = 0.0000\n",
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"Epoch 15200: Loss = 0.0000\n",
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"Epoch 15600: Loss = 0.0000\n",
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"Epoch 16000: Loss = 0.0000\n",
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"Epoch 16400: Loss = 0.0000\n",
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"Epoch 16800: Loss = 0.0000\n",
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"Epoch 17200: Loss = 0.0000\n",
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"Epoch 17600: Loss = 0.0000\n",
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"Epoch 18000: Loss = 0.0000\n",
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"Epoch 18400: Loss = 0.0000\n",
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"Epoch 18800: Loss = 0.0000\n",
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"Epoch 19200: Loss = 0.0000\n",
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"Epoch 19600: Loss = 0.0000\n"
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]
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}
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],
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"source": [
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"learning_rate = 0.001\n",
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"\n",
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"for epoch in range(20000):\n",
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" Y_pred = X.matmul(W) + B\n",
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"\n",
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" loss = ((Y_pred - Y)**2).mean()\n",
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"\n",
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" loss.backward()\n",
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" with torch.no_grad():\n",
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" W -= learning_rate * W.grad\n",
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" B -= learning_rate * B.grad\n",
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"\n",
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" W.grad.zero_()\n",
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" B.grad.zero_()\n",
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"\n",
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" if epoch % 400 == 0:\n",
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" print(f\"Epoch {epoch}: Loss = {loss.item():.4f}\")"
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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": 108,
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"id": "be1eb1bd",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"\n",
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"--- Результаты обучения ---\n",
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"Предсказание для 100°C: 212.00°F (Ожидалось: 212.00)\n",
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"Итоговый вес W: 1.8000 (Ожидалось: 1.8)\n",
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"Итоговое смещение B: 31.9986 (Ожидалось: 32.0)\n"
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]
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}
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],
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"source": [
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"with torch.no_grad():\n",
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" X_test = torch.tensor([[100.0]])\n",
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" Y_test_pred = X_test.matmul(W) + B\n",
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" print(\"\\n--- Результаты обучения ---\")\n",
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" print(f\"Предсказание для 100°C: {Y_test_pred.item():.2f}°F (Ожидалось: 212.00)\")\n",
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" print(f\"Итоговый вес W: {W.item():.4f} (Ожидалось: 1.8)\")\n",
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" print(f\"Итоговое смещение B: {B.item():.4f} (Ожидалось: 32.0)\")"
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]
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},
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{
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"cell_type": "markdown",
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"id": "1a066894",
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"metadata": {},
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"source": [
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"## Professional approach"
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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": 109,
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"id": "fa3c1e81",
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"metadata": {},
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"outputs": [],
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"source": [
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"import torch\n",
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"import torch.nn as nn\n",
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"import torch.optim as optim\n",
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"\n",
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"X = torch.tensor([[0.0],[10.0], [20.0], [30.0], [40.0]])\n",
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"Y = torch.tensor([[32.0], [50.0], [68.0], [86.0], [104.0]])"
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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": 110,
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"id": "8860a027",
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"metadata": {},
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"outputs": [],
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"source": [
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"model = nn.Linear(in_features=1, out_features=1)"
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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": 111,
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"id": "b1213a8a",
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"metadata": {},
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"outputs": [],
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"source": [
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"criterion = nn.MSELoss()\n",
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"optimizer = optim.SGD(model.parameters(), lr=0.001)"
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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": 112,
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"id": "27d203c4",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Epoch 0: loss = 6451.947265625\n",
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"Epoch 400: loss = 210.3446502685547\n",
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"Epoch 800: loss = 123.4490966796875\n",
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"Epoch 1200: loss = 72.45099639892578\n",
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"Epoch 1600: loss = 42.52076721191406\n"
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]
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}
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],
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"source": [
|
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"for epoch in range(2000):\n",
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" Y_pred = model(X)\n",
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"\n",
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" loss = criterion(Y_pred, Y)\n",
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"\n",
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" optimizer.zero_grad()\n",
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"\n",
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" loss.backward()\n",
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"\n",
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" optimizer.step()\n",
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"\n",
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" if epoch % 400 == 0:\n",
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" print(f\"Epoch {epoch}: loss = {loss.item()}\")"
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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": 113,
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"id": "024b4276",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"\n",
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"--- Результаты обучения ---\n",
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"Предсказание для 100°C: 232.21°F\n",
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"Итоговый вес W: 2.0886\n",
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"Итоговое смещение B: 23.3475\n"
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]
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}
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],
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"source": [
|
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"with torch.no_grad():\n",
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" X_test = torch.tensor([[100.0]])\n",
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" Y_test_pred = model(X_test)\n",
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" print(\"\\n--- Результаты обучения ---\")\n",
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" print(f\"Предсказание для 100°C: {Y_test_pred.item():.2f}°F\")\n",
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" \n",
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" # Доступ к обученным весам внутри слоя\n",
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" print(f\"Итоговый вес W: {model.weight.item():.4f}\")\n",
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" print(f\"Итоговое смещение B: {model.bias.item():.4f}\")"
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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": 114,
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"id": "df8942cd",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"--- MLP Model Architecture ---\n",
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"SimpleMLP(\n",
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" (fc1): Linear(in_features=784, out_features=128, bias=True)\n",
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" (fc2): Linear(in_features=128, out_features=10, bias=True)\n",
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")\n",
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"\n",
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"--- Starting Training Simulation ---\n",
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"Epoch [1/5], Loss: 2.2789\n",
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"Epoch [2/5], Loss: 1.9576\n",
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"Epoch [3/5], Loss: 1.6794\n",
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"Epoch [4/5], Loss: 1.4376\n",
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"Epoch [5/5], Loss: 1.2265\n",
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"\n",
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"MLP Example successfully defined and simulated training steps.\n"
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]
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}
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],
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"source": [
|
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"import torch\n",
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"import torch.nn as nn\n",
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"import torch.optim as optim\n",
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"\n",
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"# 1. Define the MLP model\n",
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"class SimpleMLP(nn.Module):\n",
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" def __init__(self, input_size, hidden_size, output_size):\n",
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" super(SimpleMLP, self).__init__()\n",
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" # First linear layer: input to hidden layer\n",
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" self.fc1 = nn.Linear(input_size, hidden_size)\n",
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" # Second linear layer: hidden layer to output layer\n",
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" self.fc2 = nn.Linear(hidden_size, output_size)\n",
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"\n",
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" def forward(self, x):\n",
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" # Apply ReLU activation function\n",
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" x = torch.relu(self.fc1(x))\n",
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" # Output layer (no activation for regression or logits)\n",
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" x = self.fc2(x)\n",
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" return x\n",
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"\n",
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"# 2. Setup parameters\n",
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"input_size = 784 # Example: Flattened MNIST image (28*28)\n",
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"hidden_size = 128\n",
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"output_size = 10 # Example: Number of classes for classification\n",
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"\n",
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"# Initialize the model\n",
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"model = SimpleMLP(input_size, hidden_size, output_size)\n",
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"print(\"--- MLP Model Architecture ---\")\n",
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"print(model)\n",
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"\n",
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"# 3. Create dummy data for demonstration (In a real scenario, you would load a dataset like MNIST)\n",
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"# Batch size and input features\n",
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"batch_size = 64\n",
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"dummy_input = torch.randn(batch_size, input_size)\n",
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"# Dummy labels\n",
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"dummy_target = torch.randint(0, output_size, (batch_size,))\n",
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"\n",
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"# 4. Setup Loss Function and Optimizer\n",
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"criterion = nn.CrossEntropyLoss() # Suitable for multi-class classification\n",
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"optimizer = optim.Adam(model.parameters(), lr=0.001)\n",
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"\n",
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"print(\"\\n--- Starting Training Simulation ---\")\n",
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"\n",
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"# 5. Training Loop (Simulation)\n",
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"num_epochs = 5\n",
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"\n",
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"for epoch in range(num_epochs):\n",
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" # Forward pass\n",
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" outputs = model(dummy_input)\n",
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" \n",
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" # Calculate loss\n",
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" loss = criterion(outputs, dummy_target)\n",
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" \n",
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" # Backward pass and optimization\n",
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" optimizer.zero_grad()\n",
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" loss.backward()\n",
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" optimizer.step()\n",
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" \n",
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" print(f'Epoch [{epoch+1}/{num_epochs}], Loss: {loss.item():.4f}')\n",
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"\n",
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"print(\"\\nMLP Example successfully defined and simulated training steps.\")"
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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": 115,
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"id": "98166324",
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"metadata": {},
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"outputs": [],
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"source": [
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"import torch\n",
|
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"from torch import nn\n",
|
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"from matplotlib import pyplot as plt"
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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": 116,
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"id": "ef1351a0",
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"metadata": {},
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"outputs": [],
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"source": [
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"w = 0.7\n",
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"b = 0.3\n",
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"\n",
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"X = torch.arange(0, 1, 0.02).unsqueeze(1)\n",
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"y = w * X + b"
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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": 117,
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"id": "e452da62",
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"metadata": {},
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"outputs": [],
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"source": [
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"train_split = int(0.8 * len(X))\n",
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"X_train, y_train = X[:train_split], y[:train_split]\n",
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"X_test, y_test = X[train_split:], y[train_split:]"
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]
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},
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{
|
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"cell_type": "code",
|
|
"execution_count": 118,
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|
"id": "b9f7783b",
|
|
"metadata": {},
|
|
"outputs": [],
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"source": [
|
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"class Model(nn.Module):\n",
|
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" def __init__(self):\n",
|
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" super().__init__()\n",
|
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" self.linear = nn.Linear(1, 1)\n",
|
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" def forward(self, x):\n",
|
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" return self.linear(x)\n"
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]
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},
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{
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"cell_type": "code",
|
|
"execution_count": 133,
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|
"id": "90874c3d",
|
|
"metadata": {},
|
|
"outputs": [],
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"source": [
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"model = Model()\n",
|
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"loss_fn = nn.L1Loss()\n",
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"optimizer = torch.optim.SGD(model.parameters(), lr=0.0001)"
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]
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},
|
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{
|
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"cell_type": "code",
|
|
"execution_count": 141,
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"id": "ad664e99",
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"metadata": {},
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"outputs": [
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{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Epoch 0: Loss: 0.008045697584748268 Loss_test: 0.018803399056196213\n",
|
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"Epoch 10: Loss: 0.008011357858777046 Loss_test: 0.01872417889535427\n",
|
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"Epoch 20: Loss: 0.007976962253451347 Loss_test: 0.018648361787199974\n",
|
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"Epoch 30: Loss: 0.007942652329802513 Loss_test: 0.018565673381090164\n",
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"Epoch 40: Loss: 0.007908274419605732 Loss_test: 0.018482983112335205\n",
|
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"Epoch 50: Loss: 0.007873939350247383 Loss_test: 0.01840377412736416\n",
|
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"Epoch 60: Loss: 0.007839584723114967 Loss_test: 0.018324535340070724\n",
|
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"Epoch 70: Loss: 0.007805197034031153 Loss_test: 0.018241852521896362\n",
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"Epoch 80: Loss: 0.007770814001560211 Loss_test: 0.018166035413742065\n",
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"Epoch 90: Loss: 0.007736505474895239 Loss_test: 0.018083352595567703\n",
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"Epoch 100: Loss: 0.007702118717133999 Loss_test: 0.018004130572080612\n",
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"Epoch 110: Loss: 0.007667776197195053 Loss_test: 0.017921436578035355\n",
|
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"Epoch 120: Loss: 0.007633431814610958 Loss_test: 0.017842214554548264\n",
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"Epoch 130: Loss: 0.007599038537591696 Loss_test: 0.01775953732430935\n",
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"Epoch 140: Loss: 0.007564662490040064 Loss_test: 0.017683720216155052\n",
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"Epoch 150: Loss: 0.007530292961746454 Loss_test: 0.017597621306777\n",
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"Epoch 160: Loss: 0.007495974190533161 Loss_test: 0.017521798610687256\n",
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"Epoch 170: Loss: 0.007461588829755783 Loss_test: 0.01744258962571621\n",
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"Epoch 180: Loss: 0.007427276577800512 Loss_test: 0.0173599012196064\n",
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"Epoch 190: Loss: 0.007392874453216791 Loss_test: 0.017277205362915993\n",
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"Epoch 200: Loss: 0.007358507718890905 Loss_test: 0.017201393842697144\n",
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"Epoch 210: Loss: 0.007324136793613434 Loss_test: 0.01711530052125454\n",
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"Epoch 220: Loss: 0.007289794739335775 Loss_test: 0.017036069184541702\n",
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"Epoch 230: Loss: 0.0072554415091872215 Loss_test: 0.016960252076387405\n",
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"Epoch 240: Loss: 0.007221107371151447 Loss_test: 0.016877567395567894\n",
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"Epoch 250: Loss: 0.007186715956777334 Loss_test: 0.016794884577393532\n",
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"Epoch 260: Loss: 0.007152379956096411 Loss_test: 0.01671566441655159\n",
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"Epoch 270: Loss: 0.007117978297173977 Loss_test: 0.01663643680512905\n",
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"Epoch 280: Loss: 0.0070836408995091915 Loss_test: 0.016553759574890137\n",
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"Epoch 290: Loss: 0.007049286272376776 Loss_test: 0.016477936878800392\n",
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"Epoch 300: Loss: 0.007014954928308725 Loss_test: 0.016395259648561478\n",
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"Epoch 310: Loss: 0.006980604026466608 Loss_test: 0.016316020861268044\n",
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"Epoch 320: Loss: 0.006946216337382793 Loss_test: 0.01623334363102913\n",
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"Epoch 330: Loss: 0.006911881268024445 Loss_test: 0.01615411601960659\n",
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"Epoch 340: Loss: 0.006877475883811712 Loss_test: 0.016071433201432228\n",
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"Epoch 350: Loss: 0.006843137554824352 Loss_test: 0.01599561609327793\n",
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"Epoch 360: Loss: 0.00680879270657897 Loss_test: 0.01591293141245842\n",
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"Epoch 370: Loss: 0.00677445437759161 Loss_test: 0.015833700075745583\n",
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"Epoch 380: Loss: 0.006740066222846508 Loss_test: 0.01575447991490364\n",
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"Epoch 390: Loss: 0.006705722771584988 Loss_test: 0.015671800822019577\n",
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"Epoch 400: Loss: 0.006671322043985128 Loss_test: 0.015589112415909767\n",
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"Epoch 410: Loss: 0.006636989302933216 Loss_test: 0.015513300895690918\n",
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"Epoch 420: Loss: 0.006602602545171976 Loss_test: 0.015434074215590954\n",
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"Epoch 430: Loss: 0.006568240933120251 Loss_test: 0.015347987413406372\n",
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"Epoch 440: Loss: 0.006533913314342499 Loss_test: 0.015272158198058605\n",
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"Epoch 450: Loss: 0.0064995489083230495 Loss_test: 0.01518948096781969\n",
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"Epoch 460: Loss: 0.006465154234319925 Loss_test: 0.015106802806258202\n",
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"Epoch 470: Loss: 0.00643081683665514 Loss_test: 0.015027564950287342\n",
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"Epoch 480: Loss: 0.006396452896296978 Loss_test: 0.014951747842133045\n",
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"Epoch 490: Loss: 0.00636207964271307 Loss_test: 0.014865648932754993\n",
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"Epoch 500: Loss: 0.006327774375677109 Loss_test: 0.014789843931794167\n",
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"Epoch 510: Loss: 0.006293395068496466 Loss_test: 0.01470716018229723\n",
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"Epoch 520: Loss: 0.006258990615606308 Loss_test: 0.014627927914261818\n",
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"Epoch 530: Loss: 0.0062246560119092464 Loss_test: 0.014545244164764881\n",
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"Epoch 540: Loss: 0.006190317217260599 Loss_test: 0.014466023072600365\n",
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"Epoch 550: Loss: 0.006155920680612326 Loss_test: 0.014390205964446068\n",
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"Epoch 560: Loss: 0.006121611688286066 Loss_test: 0.014307516627013683\n",
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"Epoch 570: Loss: 0.006087233312427998 Loss_test: 0.014224827289581299\n",
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"Epoch 580: Loss: 0.006052898708730936 Loss_test: 0.014145618304610252\n",
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"Epoch 590: Loss: 0.00601854408159852 Loss_test: 0.014066380448639393\n",
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"Epoch 600: Loss: 0.005984155926853418 Loss_test: 0.013983696699142456\n",
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"Epoch 610: Loss: 0.005949772894382477 Loss_test: 0.01390787959098816\n",
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"Epoch 620: Loss: 0.0059154643677175045 Loss_test: 0.013825195841491222\n",
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"Epoch 630: Loss: 0.0058810776099562645 Loss_test: 0.01374597568064928\n",
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"Epoch 640: Loss: 0.005846735090017319 Loss_test: 0.013663279823958874\n",
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"Epoch 650: Loss: 0.005812390707433224 Loss_test: 0.013584059663116932\n",
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"Epoch 660: Loss: 0.005777997430413961 Loss_test: 0.013501381501555443\n",
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"Epoch 670: Loss: 0.0057436213828623295 Loss_test: 0.013425564393401146\n",
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"Epoch 680: Loss: 0.005709252320230007 Loss_test: 0.013339465484023094\n",
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"Epoch 690: Loss: 0.005674933083355427 Loss_test: 0.01326364278793335\n",
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"Epoch 700: Loss: 0.005640547722578049 Loss_test: 0.013184433802962303\n",
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"Epoch 710: Loss: 0.005606235470622778 Loss_test: 0.013101744465529919\n",
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"Epoch 720: Loss: 0.005571833346039057 Loss_test: 0.013019049540162086\n",
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"Epoch 730: Loss: 0.005537466146051884 Loss_test: 0.01294323243200779\n",
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"Epoch 740: Loss: 0.0055030956864356995 Loss_test: 0.012857144698500633\n",
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"Epoch 750: Loss: 0.005468753632158041 Loss_test: 0.012777912430465221\n",
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"Epoch 760: Loss: 0.005434400402009487 Loss_test: 0.012702095322310925\n",
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"Epoch 770: Loss: 0.005400066263973713 Loss_test: 0.012619411572813988\n",
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"Epoch 780: Loss: 0.0053656748495996 Loss_test: 0.012536728754639626\n",
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"Epoch 790: Loss: 0.005331338848918676 Loss_test: 0.012457507662475109\n",
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"Epoch 800: Loss: 0.005296936724334955 Loss_test: 0.012378280982375145\n",
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"Epoch 810: Loss: 0.005262599792331457 Loss_test: 0.01229560375213623\n",
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"Epoch 820: Loss: 0.005228245165199041 Loss_test: 0.012219781056046486\n",
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"Epoch 830: Loss: 0.005193913821130991 Loss_test: 0.012137102894484997\n",
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"Epoch 840: Loss: 0.005159562919288874 Loss_test: 0.012057865038514137\n",
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"Epoch 850: Loss: 0.005125174764543772 Loss_test: 0.011975186876952648\n",
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"Epoch 860: Loss: 0.00509084016084671 Loss_test: 0.011895960196852684\n",
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"Epoch 870: Loss: 0.005056434776633978 Loss_test: 0.011813277378678322\n",
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"Epoch 880: Loss: 0.005022096447646618 Loss_test: 0.011737460270524025\n",
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"Epoch 890: Loss: 0.0049877529963850975 Loss_test: 0.011654776521027088\n",
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"Epoch 900: Loss: 0.004953412804752588 Loss_test: 0.011575544252991676\n",
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"Epoch 910: Loss: 0.004919025115668774 Loss_test: 0.01149632316082716\n",
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"Epoch 920: Loss: 0.004884681198745966 Loss_test: 0.011413645930588245\n",
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"Epoch 930: Loss: 0.004850282333791256 Loss_test: 0.011330956593155861\n",
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"Epoch 940: Loss: 0.0048159463331103325 Loss_test: 0.011255145072937012\n",
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"Epoch 950: Loss: 0.004781560506671667 Loss_test: 0.011175918392837048\n",
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"Epoch 960: Loss: 0.004747199825942516 Loss_test: 0.011089831590652466\n",
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"Epoch 970: Loss: 0.004712873604148626 Loss_test: 0.011014002375304699\n",
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"Epoch 980: Loss: 0.004678507801145315 Loss_test: 0.010931325145065784\n",
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"Epoch 990: Loss: 0.004644113127142191 Loss_test: 0.010848646983504295\n",
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"Epoch 1000: Loss: 0.0046097757294774055 Loss_test: 0.010769409127533436\n",
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"Epoch 1010: Loss: 0.004575411789119244 Loss_test: 0.010693592019379139\n",
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"Epoch 1020: Loss: 0.004541038069874048 Loss_test: 0.010607493110001087\n",
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"Epoch 1030: Loss: 0.004506733268499374 Loss_test: 0.01053168810904026\n",
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"Epoch 1040: Loss: 0.004472356289625168 Loss_test: 0.010449004359543324\n",
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"Epoch 1050: Loss: 0.004437948111444712 Loss_test: 0.010369772091507912\n",
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"Epoch 1060: Loss: 0.00440361350774765 Loss_test: 0.010287088342010975\n",
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"Epoch 1070: Loss: 0.00436927517876029 Loss_test: 0.010207867249846458\n",
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"Epoch 1080: Loss: 0.004334879573434591 Loss_test: 0.010132050141692162\n",
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"Epoch 1090: Loss: 0.004300569649785757 Loss_test: 0.010049360804259777\n",
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"Epoch 1100: Loss: 0.004266192205250263 Loss_test: 0.009966671466827393\n",
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"Epoch 1110: Loss: 0.004231857601553202 Loss_test: 0.009887462481856346\n",
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"Epoch 1120: Loss: 0.004197502043098211 Loss_test: 0.009808224625885487\n",
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"Epoch 1130: Loss: 0.004163114819675684 Loss_test: 0.00972554087638855\n",
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"Epoch 1140: Loss: 0.004128732718527317 Loss_test: 0.009649723768234253\n",
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"Epoch 1150: Loss: 0.004094424657523632 Loss_test: 0.009567040018737316\n",
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"Epoch 1160: Loss: 0.004060038365423679 Loss_test: 0.009487813338637352\n",
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"Epoch 1170: Loss: 0.004025692585855722 Loss_test: 0.009405124001204967\n",
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"Epoch 1180: Loss: 0.003991351462900639 Loss_test: 0.009325903840363026\n",
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"Epoch 1190: Loss: 0.003956956323236227 Loss_test: 0.009243225678801537\n",
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"Epoch 1200: Loss: 0.003922580275684595 Loss_test: 0.00916740857064724\n",
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"Epoch 1210: Loss: 0.003888209816068411 Loss_test: 0.009081309661269188\n",
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"Epoch 1220: Loss: 0.0038538917433470488 Loss_test: 0.009005486965179443\n",
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"Epoch 1230: Loss: 0.0038195066154003143 Loss_test: 0.008926277980208397\n",
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"Epoch 1240: Loss: 0.0037851943634450436 Loss_test: 0.008843588642776012\n",
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"Epoch 1250: Loss: 0.0037507922388613224 Loss_test: 0.00876089371740818\n",
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"Epoch 1260: Loss: 0.0037164248060435057 Loss_test: 0.008685076609253883\n",
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"Epoch 1270: Loss: 0.003682055976241827 Loss_test: 0.008598988875746727\n",
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"Epoch 1280: Loss: 0.003647714154794812 Loss_test: 0.008519756607711315\n",
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"Epoch 1290: Loss: 0.003613357897847891 Loss_test: 0.008443939499557018\n",
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"Epoch 1300: Loss: 0.003579024923965335 Loss_test: 0.008361255750060081\n",
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"Epoch 1310: Loss: 0.0035446337424218655 Loss_test: 0.00827857293188572\n",
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"Epoch 1320: Loss: 0.003510297741740942 Loss_test: 0.008199351839721203\n",
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"Epoch 1330: Loss: 0.003475895617157221 Loss_test: 0.008120125159621239\n",
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"Epoch 1340: Loss: 0.0034415586851537228 Loss_test: 0.008037447929382324\n",
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"Epoch 1350: Loss: 0.003407204058021307 Loss_test: 0.00796162523329258\n",
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"Epoch 1360: Loss: 0.003372871084138751 Loss_test: 0.00787894707173109\n",
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"Epoch 1370: Loss: 0.0033385218121111393 Loss_test: 0.007799708750098944\n",
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"Epoch 1380: Loss: 0.0033041336573660374 Loss_test: 0.007717031054198742\n",
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"Epoch 1390: Loss: 0.0032698004506528378 Loss_test: 0.007637804839760065\n",
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"Epoch 1400: Loss: 0.0032353922724723816 Loss_test: 0.007555121090263128\n",
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"Epoch 1410: Loss: 0.003201055573299527 Loss_test: 0.007479303982108831\n",
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"Epoch 1420: Loss: 0.0031667121220380068 Loss_test: 0.007396620698273182\n",
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"Epoch 1430: Loss: 0.003132371697574854 Loss_test: 0.007317387964576483\n",
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"Epoch 1440: Loss: 0.003097984241321683 Loss_test: 0.007238167338073254\n",
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"Epoch 1450: Loss: 0.0030636400915682316 Loss_test: 0.007155490107834339\n",
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"Epoch 1460: Loss: 0.0030292414594441652 Loss_test: 0.007072800304740667\n",
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"Epoch 1470: Loss: 0.0029949054587632418 Loss_test: 0.0069969892501831055\n",
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"Epoch 1480: Loss: 0.0029605193994939327 Loss_test: 0.006917762570083141\n",
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"Epoch 1490: Loss: 0.0029261589515954256 Loss_test: 0.00683167576789856\n",
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"Epoch 1500: Loss: 0.002891832496970892 Loss_test: 0.006755846552550793\n",
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"Epoch 1510: Loss: 0.002857466693967581 Loss_test: 0.006673169322311878\n",
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"Epoch 1520: Loss: 0.0028230720199644566 Loss_test: 0.006590491626411676\n",
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"Epoch 1530: Loss: 0.0027887343894690275 Loss_test: 0.00651125330477953\n",
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"Epoch 1540: Loss: 0.002754370914772153 Loss_test: 0.006435436196625233\n",
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"Epoch 1550: Loss: 0.002719996962696314 Loss_test: 0.006349331233650446\n",
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"Epoch 1560: Loss: 0.00268569216132164 Loss_test: 0.006273531820625067\n",
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"Epoch 1570: Loss: 0.0026513151824474335 Loss_test: 0.006190842483192682\n",
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"Epoch 1580: Loss: 0.0026169070042669773 Loss_test: 0.006111615803092718\n",
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"Epoch 1590: Loss: 0.0025825724005699158 Loss_test: 0.006028932519257069\n",
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"Epoch 1600: Loss: 0.0025482340715825558 Loss_test: 0.0059497118927538395\n",
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"Epoch 1610: Loss: 0.002513838466256857 Loss_test: 0.005873894784599543\n",
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"Epoch 1620: Loss: 0.0024795285426080227 Loss_test: 0.005791204981505871\n",
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"Epoch 1630: Loss: 0.002445150865241885 Loss_test: 0.005708515644073486\n",
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"Epoch 1640: Loss: 0.0024108164943754673 Loss_test: 0.005629307124763727\n",
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"Epoch 1650: Loss: 0.002376460935920477 Loss_test: 0.00555006880313158\n",
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"Epoch 1660: Loss: 0.0023420737124979496 Loss_test: 0.0054673850536346436\n",
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"Epoch 1670: Loss: 0.002307691378518939 Loss_test: 0.005391567945480347\n",
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"Epoch 1680: Loss: 0.0022733837831765413 Loss_test: 0.00530888419598341\n",
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"Epoch 1690: Loss: 0.0022389970254153013 Loss_test: 0.005229657981544733\n",
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"Epoch 1700: Loss: 0.002204651478677988 Loss_test: 0.005146968178451061\n",
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"Epoch 1710: Loss: 0.0021703101228922606 Loss_test: 0.005067748017609119\n",
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"Epoch 1720: Loss: 0.0021359152160584927 Loss_test: 0.004985070321708918\n",
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"Epoch 1730: Loss: 0.0021015391685068607 Loss_test: 0.004909253213554621\n",
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"Epoch 1740: Loss: 0.0020671687088906765 Loss_test: 0.004823154304176569\n",
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"Epoch 1750: Loss: 0.0020328506361693144 Loss_test: 0.004747331142425537\n",
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"Epoch 1760: Loss: 0.00199846550822258 Loss_test: 0.004668122623115778\n",
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"Epoch 1770: Loss: 0.001964153256267309 Loss_test: 0.004585432820022106\n",
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"Epoch 1780: Loss: 0.0019297510152682662 Loss_test: 0.004502737428992987\n",
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"Epoch 1790: Loss: 0.0018953836988657713 Loss_test: 0.00442692032083869\n",
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"Epoch 1800: Loss: 0.0018610149854794145 Loss_test: 0.004340833518654108\n",
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"Epoch 1810: Loss: 0.0018266730476170778 Loss_test: 0.004261600784957409\n",
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"Epoch 1820: Loss: 0.0017923169070854783 Loss_test: 0.004185783676803112\n",
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"Epoch 1830: Loss: 0.0017579838167876005 Loss_test: 0.0041031003929674625\n",
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"Epoch 1840: Loss: 0.001723592751659453 Loss_test: 0.004020416643470526\n",
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"Epoch 1850: Loss: 0.0016892567509785295 Loss_test: 0.003941196016967297\n",
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"Epoch 1860: Loss: 0.0016548543935641646 Loss_test: 0.0038619698025286198\n",
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"Epoch 1870: Loss: 0.0016205176943913102 Loss_test: 0.003779292106628418\n",
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"Epoch 1880: Loss: 0.0015861630672588944 Loss_test: 0.003703468944877386\n",
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"Epoch 1890: Loss: 0.0015518299769610167 Loss_test: 0.003620791481807828\n",
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"Epoch 1900: Loss: 0.001517480588518083 Loss_test: 0.0035415529273450375\n",
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"Epoch 1910: Loss: 0.0014830924337729812 Loss_test: 0.0034588754642754793\n",
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"Epoch 1920: Loss: 0.0014487594598904252 Loss_test: 0.003379649017006159\n",
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"Epoch 1930: Loss: 0.0014143511652946472 Loss_test: 0.003296965267509222\n",
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"Epoch 1940: Loss: 0.0013800144661217928 Loss_test: 0.003221148159354925\n",
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"Epoch 1950: Loss: 0.0013456710148602724 Loss_test: 0.003138464642688632\n",
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"Epoch 1960: Loss: 0.0013113304739817977 Loss_test: 0.0030592321418225765\n",
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"Epoch 1970: Loss: 0.0012769431341439486 Loss_test: 0.002980011748149991\n",
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"Epoch 1980: Loss: 0.0012425988679751754 Loss_test: 0.0028973340522497892\n",
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"Epoch 1990: Loss: 0.0012082003522664309 Loss_test: 0.002814644481986761\n",
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"Epoch 2000: Loss: 0.0011738643515855074 Loss_test: 0.0027388334274291992\n",
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"Epoch 2010: Loss: 0.0011394784087315202 Loss_test: 0.0026596069801598787\n",
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"Epoch 2020: Loss: 0.0011051192414015532 Loss_test: 0.0025735199451446533\n",
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"Epoch 2030: Loss: 0.0010707930196076632 Loss_test: 0.00249769096262753\n",
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"Epoch 2040: Loss: 0.0010364264016970992 Loss_test: 0.0024150132667273283\n",
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"Epoch 2050: Loss: 0.001002032309770584 Loss_test: 0.00233233580365777\n",
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"Epoch 2060: Loss: 0.0009676933404989541 Loss_test: 0.0022530972491949797\n",
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"Epoch 2070: Loss: 0.0009333305060863495 Loss_test: 0.002177280141040683\n",
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"Epoch 2080: Loss: 0.0008989557391032577 Loss_test: 0.0020911754108965397\n",
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"Epoch 2090: Loss: 0.0008646510541439056 Loss_test: 0.0020153759978711605\n",
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"Epoch 2100: Loss: 0.0008302740752696991 Loss_test: 0.0019326865440234542\n",
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"Epoch 2110: Loss: 0.0007958657806739211 Loss_test: 0.0018534600967541337\n",
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"Epoch 2120: Loss: 0.0007615297799929976 Loss_test: 0.0017707764636725187\n",
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"Epoch 2130: Loss: 0.0007271930808201432 Loss_test: 0.0016915559535846114\n",
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"Epoch 2140: Loss: 0.0006927959620952606 Loss_test: 0.0016157388454303145\n",
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"Epoch 2150: Loss: 0.0006584875518456101 Loss_test: 0.0015330493915826082\n",
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"Epoch 2160: Loss: 0.000624108302872628 Loss_test: 0.00145035982131958\n",
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"Epoch 2170: Loss: 0.0005897767841815948 Loss_test: 0.0013711511855944991\n",
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"Epoch 2180: Loss: 0.0005554199451580644 Loss_test: 0.0012919127475470304\n",
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"Epoch 9290: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9300: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9310: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9320: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9330: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9340: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9350: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9360: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9370: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9380: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9390: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9400: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9410: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9420: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9430: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9440: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9450: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9460: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9470: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9480: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9490: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9500: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9510: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9520: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9530: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9540: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9550: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9560: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9570: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9580: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9590: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9600: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9610: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9620: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9630: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9640: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9650: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9660: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9670: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
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"Epoch 9680: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
|
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"Epoch 9690: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
|
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"Epoch 9700: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
|
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"Epoch 9710: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
|
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"Epoch 9720: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
|
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"Epoch 9730: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
|
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"Epoch 9740: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
|
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"Epoch 9750: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
|
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"Epoch 9760: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
|
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"Epoch 9770: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
|
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"Epoch 9780: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
|
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"Epoch 9790: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
|
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"Epoch 9800: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
|
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"Epoch 9810: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
|
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"Epoch 9820: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
|
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"Epoch 9830: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
|
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"Epoch 9840: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
|
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"Epoch 9850: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
|
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"Epoch 9860: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
|
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"Epoch 9870: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
|
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"Epoch 9880: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
|
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"Epoch 9890: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
|
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"Epoch 9900: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
|
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"Epoch 9910: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
|
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"Epoch 9920: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
|
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"Epoch 9930: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
|
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"Epoch 9940: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
|
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"Epoch 9950: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
|
|
"Epoch 9960: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
|
|
"Epoch 9970: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
|
|
"Epoch 9980: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n",
|
|
"Epoch 9990: Loss: 6.502568430732936e-05 Loss_test: 3.3360720408381894e-05\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"epochs = 10000\n",
|
|
"\n",
|
|
"for epoch in range(epochs):\n",
|
|
" model.train()\n",
|
|
" y_pred = model(X_train)\n",
|
|
" loss = loss_fn(y_pred, y_train)\n",
|
|
" optimizer.zero_grad()\n",
|
|
" loss.backward()\n",
|
|
" optimizer.step()\n",
|
|
" #print(f\"Epoch {epoch}: Loss: {loss}\")\n",
|
|
"\n",
|
|
" model.eval()\n",
|
|
" with torch.inference_mode():\n",
|
|
" test_pred = model(X_test)\n",
|
|
" test_loss = loss_fn(test_pred, y_test)\n",
|
|
" if epoch % 10 == 0:\n",
|
|
" print(f\"Epoch {epoch}: Loss: {loss} Loss_test: {test_loss}\") "
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 142,
|
|
"id": "9524c9c8",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"OrderedDict([('linear.weight', tensor([[0.6999]])),\n",
|
|
" ('linear.bias', tensor([0.3000]))])"
|
|
]
|
|
},
|
|
"execution_count": 142,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"model.state_dict()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "afe93d3e",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": ".venv (3.11.15)",
|
|
"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": "3.11.15"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 5
|
|
}
|