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@18alantom
Created January 18, 2026 13:58
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "bc011ccc-171b-457c-82e5-7adbb2c3eb20",
"metadata": {
"execution": {
"iopub.execute_input": "2026-01-18T12:32:55.580522Z",
"iopub.status.busy": "2026-01-18T12:32:55.580362Z",
"iopub.status.idle": "2026-01-18T12:32:58.065784Z",
"shell.execute_reply": "2026-01-18T12:32:58.065479Z",
"shell.execute_reply.started": "2026-01-18T12:32:55.580505Z"
}
},
"outputs": [],
"source": [
"import torch\n",
"import torch.nn as nn\n",
"import torch.optim as optim\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "bc8e86e3-5de5-435f-a4b2-5a02cd28540a",
"metadata": {
"execution": {
"iopub.execute_input": "2026-01-18T12:32:58.066238Z",
"iopub.status.busy": "2026-01-18T12:32:58.066129Z",
"iopub.status.idle": "2026-01-18T12:32:58.070279Z",
"shell.execute_reply": "2026-01-18T12:32:58.070017Z",
"shell.execute_reply.started": "2026-01-18T12:32:58.066229Z"
}
},
"outputs": [],
"source": [
"sns.set_theme()\n",
"torch.manual_seed(42)\n",
"np.random.seed(42)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "640983a2-28a6-4273-b712-3ad8987a5c1a",
"metadata": {
"execution": {
"iopub.execute_input": "2026-01-18T12:32:58.070833Z",
"iopub.status.busy": "2026-01-18T12:32:58.070735Z",
"iopub.status.idle": "2026-01-18T12:32:58.074720Z",
"shell.execute_reply": "2026-01-18T12:32:58.074387Z",
"shell.execute_reply.started": "2026-01-18T12:32:58.070824Z"
}
},
"outputs": [],
"source": [
"def count_params(model):\n",
" return sum(param.numel() for param in model.parameters() if param.requires_grad)\n",
"\n",
"def train_model(model, loss_fn, optimizer, x_train, y_train, n_epochs):\n",
" losses = []\n",
"\n",
" print(\"Training...\")\n",
" for epoch in range(n_epochs):\n",
" y_pred = model(x_train)\n",
" loss = loss_fn(y_pred, y_train)\n",
"\n",
" optimizer.zero_grad()\n",
" loss.backward()\n",
" optimizer.step()\n",
"\n",
" losses.append(loss.item())\n",
"\n",
" if (epoch + 1) % 500 == 0:\n",
" print(f'Epoch [{epoch+1}/{n_epochs}], Loss: {loss.item():.6f}')\n",
"\n",
" print(\"Training complete!\")\n",
"\n",
"def eval_model(model, x, show_sin=True):\n",
" model.eval()\n",
" with torch.no_grad():\n",
" y_pred = model(x).numpy()\n",
"\n",
" fig, axes = plt.subplots(1, 1, figsize=(18, 4))\n",
"\n",
" x_np = x.numpy()\n",
" y_np = np.sin(x_np)\n",
"\n",
" show_sin and axes.plot(x_np, y_np, color='C0', label='True Sin')\n",
" axes.plot(x_np, y_pred, color='.3', label='NN Prediction', linestyle=':', linewidth=3)\n",
" axes.set_title('Comparison: True Sin vs Neural Network')\n",
" axes.set_xlabel('x')\n",
" axes.set_ylabel('y')\n",
" axes.legend()\n",
" axes.grid(True, alpha=0.3)\n",
"\n",
" plt.show()\n",
" return fig"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "d8895be2-4e26-4e98-8543-3842ae236f1b",
"metadata": {
"execution": {
"iopub.execute_input": "2026-01-18T12:32:58.075140Z",
"iopub.status.busy": "2026-01-18T12:32:58.075046Z",
"iopub.status.idle": "2026-01-18T12:32:58.077931Z",
"shell.execute_reply": "2026-01-18T12:32:58.077639Z",
"shell.execute_reply.started": "2026-01-18T12:32:58.075129Z"
}
},
"outputs": [],
"source": [
"class SinNet(nn.Module):\n",
" def __init__(self, depth=1, width=16):\n",
" super(SinNet, self).__init__()\n",
" self.input = nn.Linear(1, width)\n",
"\n",
" stack_list = [nn.ReLU()]\n",
" for d in range(depth):\n",
" stack_list.append(nn.Linear(width, width))\n",
" stack_list.append(nn.ReLU())\n",
"\n",
" self.stack = nn.Sequential(*stack_list)\n",
" self.output = nn.Linear(width, 1)\n",
"\n",
" def forward(self, x):\n",
" x = self.input(x)\n",
" x = self.stack(x)\n",
" return self.output(x)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "2b0d3f32-ba6d-4215-943c-dd379fb0e4d5",
"metadata": {
"execution": {
"iopub.execute_input": "2026-01-18T12:32:58.078496Z",
"iopub.status.busy": "2026-01-18T12:32:58.078355Z",
"iopub.status.idle": "2026-01-18T12:32:58.080797Z",
"shell.execute_reply": "2026-01-18T12:32:58.080411Z",
"shell.execute_reply.started": "2026-01-18T12:32:58.078486Z"
}
},
"outputs": [],
"source": [
"def get_trained(\n",
" x_train, n_epochs=5000, depth=2, width=8,\n",
"):\n",
" # Init model and optimizer\n",
" model = SinNet(depth=depth, width=width)\n",
" for layer in model.children():\n",
" if hasattr(layer, 'reset_parameters'):\n",
" layer.reset_parameters()\n",
" optimizer = optim.Adam(model.parameters(), lr=0.001)\n",
" print(f\"Model has {count_params(model)} parameters\")\n",
"\n",
" train_model(\n",
" model, nn.MSELoss(), optimizer,\n",
" x_train, torch.sin(x_train), n_epochs\n",
" )\n",
" return model"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "fec7f654-6cee-48b8-87c5-d7889685adfc",
"metadata": {
"execution": {
"iopub.execute_input": "2026-01-18T12:32:58.082831Z",
"iopub.status.busy": "2026-01-18T12:32:58.082668Z",
"iopub.status.idle": "2026-01-18T12:32:58.085395Z",
"shell.execute_reply": "2026-01-18T12:32:58.085103Z",
"shell.execute_reply.started": "2026-01-18T12:32:58.082819Z"
}
},
"outputs": [],
"source": [
"# Generate training data\n",
"x = torch.linspace(\n",
" -2*np.pi, 2*np.pi, 10000\n",
").reshape(-1, 1)\n",
"x_idx = torch.arange(0,10000, 10)\n",
"# x_idx = torch.randint(1000, (100,))\n",
"x_train = x[x_idx]"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "69884fc7-9060-47ed-aef1-b32824d33754",
"metadata": {
"execution": {
"iopub.execute_input": "2026-01-18T12:32:58.085906Z",
"iopub.status.busy": "2026-01-18T12:32:58.085766Z",
"iopub.status.idle": "2026-01-18T12:32:58.240077Z",
"shell.execute_reply": "2026-01-18T12:32:58.239768Z",
"shell.execute_reply.started": "2026-01-18T12:32:58.085898Z"
}
},
"outputs": [
{
"data": {
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"text/plain": [
"<Figure size 1800x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"untrained = SinNet(depth=2, width=8)\n",
"fig = eval_model(untrained, torch.linspace(-2*torch.pi, 2*torch.pi, 1000).reshape(-1,1), False)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "c75cd300-28cc-4763-be5f-ccef5618ec2c",
"metadata": {
"execution": {
"iopub.execute_input": "2026-01-18T12:32:58.240878Z",
"iopub.status.busy": "2026-01-18T12:32:58.240749Z",
"iopub.status.idle": "2026-01-18T12:33:00.776847Z",
"shell.execute_reply": "2026-01-18T12:33:00.776575Z",
"shell.execute_reply.started": "2026-01-18T12:32:58.240867Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Model has 169 parameters\n",
"Training...\n",
"Epoch [500/5000], Loss: 0.076366\n",
"Epoch [1000/5000], Loss: 0.016746\n",
"Epoch [1500/5000], Loss: 0.016441\n",
"Epoch [2000/5000], Loss: 0.016347\n",
"Epoch [2500/5000], Loss: 0.016206\n",
"Epoch [3000/5000], Loss: 0.015979\n",
"Epoch [3500/5000], Loss: 0.015689\n",
"Epoch [4000/5000], Loss: 0.015444\n",
"Epoch [4500/5000], Loss: 0.015323\n",
"Epoch [5000/5000], Loss: 0.015289\n",
"Training complete!\n"
]
}
],
"source": [
"model = get_trained(x_train)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "23a4b472-5b87-409e-a62b-c9b19652400f",
"metadata": {
"execution": {
"iopub.execute_input": "2026-01-18T12:33:00.777440Z",
"iopub.status.busy": "2026-01-18T12:33:00.777276Z",
"iopub.status.idle": "2026-01-18T12:33:00.967244Z",
"shell.execute_reply": "2026-01-18T12:33:00.966963Z",
"shell.execute_reply.started": "2026-01-18T12:33:00.777430Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1800x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 1800x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = eval_model(model, torch.linspace(-2*torch.pi, 2*torch.pi, 1000).reshape(-1,1))\n",
"fig = eval_model(model, torch.linspace(-4*torch.pi, 4*torch.pi, 1000).reshape(-1,1))"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "b1ebc5e0-04be-4ea7-9d56-7c564389f91c",
"metadata": {
"execution": {
"iopub.execute_input": "2026-01-18T12:33:00.967764Z",
"iopub.status.busy": "2026-01-18T12:33:00.967685Z",
"iopub.status.idle": "2026-01-18T12:33:04.124438Z",
"shell.execute_reply": "2026-01-18T12:33:04.124081Z",
"shell.execute_reply.started": "2026-01-18T12:33:00.967755Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Model has 1137 parameters\n",
"Training...\n",
"Epoch [500/5000], Loss: 0.000484\n",
"Epoch [1000/5000], Loss: 0.000045\n",
"Epoch [1500/5000], Loss: 0.000025\n",
"Epoch [2000/5000], Loss: 0.000043\n",
"Epoch [2500/5000], Loss: 0.000020\n",
"Epoch [3000/5000], Loss: 0.000015\n",
"Epoch [3500/5000], Loss: 0.000266\n",
"Epoch [4000/5000], Loss: 0.000125\n",
"Epoch [4500/5000], Loss: 0.000100\n",
"Epoch [5000/5000], Loss: 0.000012\n",
"Training complete!\n"
]
}
],
"source": [
"model_large = get_trained(x_train, depth=4, width=16)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "736dc0ee-07f7-4a50-9d07-32b39842c987",
"metadata": {
"execution": {
"iopub.execute_input": "2026-01-18T12:33:04.125067Z",
"iopub.status.busy": "2026-01-18T12:33:04.124968Z",
"iopub.status.idle": "2026-01-18T12:33:04.246521Z",
"shell.execute_reply": "2026-01-18T12:33:04.246242Z",
"shell.execute_reply.started": "2026-01-18T12:33:04.125057Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1800x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 1800x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = eval_model(model_large, torch.linspace(-2*torch.pi, 2*torch.pi, 1000).reshape(-1,1))\n",
"fig = eval_model(model_large, torch.linspace(-4*torch.pi, 4*torch.pi, 1000).reshape(-1,1))"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.12.9"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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