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@arbennett
Created October 22, 2021 23:47
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Some experiments on fitting neural networks on sine waves\n",
"\n",
"Been thinking about [this twitter post](https://twitter.com/cristiproist/status/1450299437192986625) a bit this week and wanted to give a few things a try. Originally I wanted to design a neural net with off the shelf components and no special tricks (like taking inputs modulo pi or fitting on the Fourier transform). This is a surprisingly hard thing to get a neural network to learn. This made me wonder, can we just get the neural network to learn the frequency multiplier in the sine function itself. Starting there, let's do some imports..."
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/bzq/miniconda3/envs/all/lib/python3.7/site-packages/IPython/core/magics/pylab.py:160: UserWarning: pylab import has clobbered these variables: ['dtype']\n",
"`%matplotlib` prevents importing * from pylab and numpy\n",
" \"\\n`%matplotlib` prevents importing * from pylab and numpy\"\n"
]
}
],
"source": [
"%pylab inline\n",
"import matplotlib as mpl\n",
"import torch\n",
"import torch.nn as nn\n",
"import torch.nn.functional as F\n",
"from tqdm.notebook import tqdm\n",
"device = torch.device(\"cuda:0\" if torch.cuda.is_available() else \"cpu\")\n",
"\n",
"# Set a bigger default plot size\n",
"mpl.rcParams['figure.figsize'] = (12, 8)\n",
"mpl.rcParams['font.size'] = 22"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Setting up the initial experiment\n",
"\n",
"Here I'll make some true data (a basic sine wave), and pick out some discontinuous section for training data, along with a bit of validation data. The plot below gives the situation."
]
},
{
"cell_type": "code",
"execution_count": 263,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7fc03fe9e0d0>"
]
},
"execution_count": 263,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"dtype = torch.float32\n",
"dx = 0.01\n",
"x_train = torch.hstack([\n",
" torch.tensor(np.pi * np.arange(-12.0, -1.0, step=dx), dtype=dtype),\n",
" torch.tensor(np.pi * np.arange(1.0, 12.0, step=dx), dtype=dtype),\n",
"])\n",
"y_train = np.sin(x_train)\n",
"\n",
"dtype = torch.float32\n",
"dx = 0.1\n",
"x_train = torch.hstack([\n",
" torch.tensor(np.pi * np.arange(-4.0, -1.0, step=dx), dtype=dtype),\n",
" torch.tensor(np.pi * np.arange(1.0, 4.0, step=dx), dtype=dtype),\n",
"])\n",
"x_valid = torch.tensor(np.pi * np.arange(-1, 1, step=dx), dtype=dtype)\n",
"y_train = torch.sin(x_train)\n",
"y_valid = torch.sin(x_valid)\n",
"\n",
"x_truth = np.pi * np.arange(-10, 10, step=dx)\n",
"y_truth = np.sin(x_truth)\n",
"\n",
"plt.plot(x_truth, y_truth, color='black', label='sinx(x)')\n",
"plt.scatter(x_train, y_train, color='crimson', marker='o', label='training data')\n",
"plt.scatter(x_valid, y_valid, color='goldenrod', marker='o', label='validation data')\n",
"plt.legend(loc='lower left')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## The definition of the `SineNet` network\n",
"\n",
"Okay, great, now to define a network which takes a `width` parameter (which determines the number of trainable parameters) that will be used to compute:\n",
"\n",
"$$\n",
"y = \\frac{1}{width} \\sum_{i=0}^{width} sin(\\pi \\cdot w_i \\cdot x)\n",
"$$\n",
"\n",
"This is a clearly very strong inductive bias in learning the right function so it should be no problem to get a nearly perfect fit. Right? Before getting there - one more definition, our training epoch. Nothing special is going on in here."
]
},
{
"cell_type": "code",
"execution_count": 81,
"metadata": {},
"outputs": [],
"source": [
"class SineNet(nn.Module):\n",
" def __init__(self, width):\n",
" super().__init__()\n",
" self.w = nn.Parameter(2 * torch.rand(width), requires_grad=True)\n",
" \n",
" def forward(self, x):\n",
" pi = torch.tensor(3.14159)\n",
" # Mean to keep outputs [-1 1] \n",
" return torch.mean(torch.sin(pi * self.w * x))"
]
},
{
"cell_type": "code",
"execution_count": 82,
"metadata": {},
"outputs": [],
"source": [
"def epoch(\n",
" X, y, \n",
" model, \n",
" loss_fun, \n",
" device=device, \n",
" opt=None, \n",
" monitor=None,\n",
" X_valid=None, \n",
" y_valid=None,\n",
"):\n",
" total_loss, total_err, total_monitor = 0.,0.,0.\n",
" model.eval() if opt is None else model.train()\n",
" n_iter = X.shape[0]\n",
" for i in range(n_iter):\n",
" Xd, yd = X[[i]].to(device), y[[i]].to(device)\n",
" if opt:\n",
" opt.zero_grad()\n",
" yp = model(Xd / np.pi)\n",
" loss = loss_fun(yp, yd) #, yp_prime, yd_prime)\n",
" if opt:\n",
" loss.backward()\n",
" if sum(torch.sum(torch.isnan(p.grad)) for p in model.parameters()) == 0:\n",
" opt.step()\n",
" total_loss += loss.item() * X.shape[0]\n",
" if monitor is not None:\n",
" total_monitor += monitor(model)\n",
"\n",
" total_val_loss = 0.0\n",
" if X_valid is not None:\n",
" n_iter = X_valid.shape[0]\n",
" for i in range(n_iter):\n",
" Xd, yd = X_valid[[i]].to(device), y_valid[[i]].to(device)\n",
" #print(Xd.shape) <------ Do not remove this - things break without!?\n",
" yp = model(Xd / np.pi)\n",
" loss = loss_fun(yp, yd)\n",
" total_val_loss += loss.item() * X_valid.shape[0]\n",
" if monitor is not None:\n",
" total_monitor += monitor(model)\n",
" return total_loss / len(X), total_val_loss / len(X_valid)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Training\n",
"So here we go, we set a width of 1 since we only have one frequency in the generated training data. As you can see, we fit this no problem."
]
},
{
"cell_type": "code",
"execution_count": 83,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "c68f5b94457d49cc98779216cba20539",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/30 [00:00<?, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/bzq/miniconda3/envs/all/lib/python3.7/site-packages/ipykernel_launcher.py:22: DeprecationWarning: Calling np.sum(generator) is deprecated, and in the future will give a different result. Use np.sum(np.fromiter(generator)) or the python sum builtin instead.\n"
]
},
{
"data": {
"text/plain": [
"Text(0, 0.5, 'MSE Loss')"
]
},
"execution_count": 83,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"width = 1\n",
"model = SineNet(width)\n",
"loss_fun = torch.nn.MSELoss()\n",
"opt = torch.optim.Adam(model.parameters(), lr=0.01)\n",
"\n",
"train_loss_history = []\n",
"valid_loss_history = []\n",
"\n",
"max_epochs = 30\n",
"for i in tqdm(range(max_epochs)):\n",
" train_loss, valid_loss = epoch(x_train, y_train, model, loss_fun, opt=opt, X_valid=x_valid, y_valid=y_valid)\n",
" train_loss_history.append(train_loss)\n",
" valid_loss_history.append(valid_loss)\n",
"\n",
"plt.semilogy(train_loss_history)\n",
"plt.semilogy(valid_loss_history)\n",
"plt.xlabel('Epoch #')\n",
"plt.ylabel('MSE Loss')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plotting this thing out of range\n",
"As the fit indicates, we can get really nice out of distribution prediction. We essentially learned the right function here."
]
},
{
"cell_type": "code",
"execution_count": 84,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7fc050443510>"
]
},
"execution_count": 84,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"y_pred = []\n",
"for x in x_truth:\n",
" y_pred.append(model(torch.tensor([x/np.pi], dtype=dtype).flatten()).detach().numpy())\n",
"\n",
"plt.plot(x_truth, y_truth, linewidth=2, color='black', label='sin(x)')\n",
"plt.scatter(x_train, y_train, color='grey', marker='.', alpha=0.6, s=200, label='training data')\n",
"plt.plot(x_truth, np.hstack(y_pred), linewidth=3, color='crimson', linestyle='--', label='Prediction')\n",
"plt.ylim([-2,2])\n",
"plt.legend(bbox_to_anchor=(1.04,1), loc=\"upper left\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Now for something a bit more complicated...\n",
"\n",
"Let's make use of that `width` parameter and try to learn a linear superposition of two sine waves. I'll just manually set the coefficients here. And then train with `width=2` on the `SineNet`. Again, we can pretty easily learn this. If you run this code it might take a couple of tries to get convergence, but it should be pretty straightforward to get it to happen.\n",
"\n",
"Again we get that really nice prediction out of range."
]
},
{
"cell_type": "code",
"execution_count": 113,
"metadata": {},
"outputs": [],
"source": [
"y_truth = (np.sin(x_truth / 2) + np.sin(x_truth ))/2\n",
"\n",
"dtype = torch.float32\n",
"dx = 0.1\n",
"x_train = torch.hstack([\n",
" torch.tensor(np.pi * np.arange(-4.0, -1.0, step=dx), dtype=dtype),\n",
" torch.tensor(np.pi * np.arange(1.0, 4.0, step=dx), dtype=dtype),\n",
"])\n",
"x_valid = torch.tensor(np.pi * np.arange(-1, 1, step=dx), dtype=dtype)\n",
"y_train = (torch.sin(x_train / 2) + torch.sin(x_train ))/2\n",
"y_valid = (torch.sin(x_valid / 2) + torch.sin(x_valid ))/2\n",
"\n",
"plt.plot(x_truth, y_truth, color='black', label='sinx(x)')\n",
"plt.scatter(x_train, y_train, color='crimson', marker='o', label='training data')\n",
"plt.scatter(x_valid, y_valid, color='goldenrod', marker='o', label='validation data')\n",
"plt.legend(loc='lower left')"
]
},
{
"cell_type": "code",
"execution_count": 147,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "ce69f05a736c4c0d93d2a39ed90f4adb",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/30 [00:00<?, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/bzq/miniconda3/envs/all/lib/python3.7/site-packages/ipykernel_launcher.py:22: DeprecationWarning: Calling np.sum(generator) is deprecated, and in the future will give a different result. Use np.sum(np.fromiter(generator)) or the python sum builtin instead.\n"
]
},
{
"data": {
"text/plain": [
"Text(0, 0.5, 'MSE Loss')"
]
},
"execution_count": 147,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"width = 2\n",
"model = SineNet(width)\n",
"#loss_fun = sobolov_loss#torch.nn.MSELoss()\n",
"loss_fun = torch.nn.MSELoss()\n",
"opt = torch.optim.Adam(model.parameters(), lr=0.01)\n",
"\n",
"train_loss_history = []\n",
"valid_loss_history = []\n",
"\n",
"max_epochs = 30\n",
"for i in tqdm(range(max_epochs)):\n",
" train_loss, valid_loss = epoch(x_train, y_train, model, loss_fun, opt=opt, X_valid=x_valid, y_valid=y_valid)\n",
" train_loss_history.append(train_loss)\n",
" valid_loss_history.append(valid_loss)\n",
"\n",
"plt.semilogy(train_loss_history)\n",
"plt.semilogy(valid_loss_history)\n",
"plt.xlabel('Epoch #')\n",
"plt.ylabel('MSE Loss')"
]
},
{
"cell_type": "code",
"execution_count": 148,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7fc049adb3d0>"
]
},
"execution_count": 148,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"y_pred = []\n",
"for x in x_truth:\n",
" y_pred.append(model(torch.tensor([x/np.pi], dtype=dtype).flatten()).detach().numpy())\n",
"\n",
"plt.plot(x_truth, y_truth, linewidth=2, color='black', label='sin(x)')\n",
"plt.scatter(x_train, y_train, color='grey', marker='.', alpha=0.6, s=200, label='training data')\n",
"plt.plot(x_truth, np.hstack(y_pred), linewidth=3, color='crimson', linestyle='--', label='Prediction')\n",
"plt.ylim([-2,2])\n",
"plt.legend(bbox_to_anchor=(1.04,1), loc=\"upper left\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": []
},
"source": [
"# Now for something a way more complicated...\n",
"\n",
"So obviously the next step is to keep bumping up width. Here I'll randomly generate 8 coefficicents and split out the training and validation data as usual. This is where problems start to crop up - I've been unable to get this thing to converge. I've tried tinkering a bit with learning rates/number epochs/etc but it really doesn't seem to want to get there. It does get reasonably close though, although the far ends of the prediction range aren't great."
]
},
{
"cell_type": "code",
"execution_count": 271,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7fc03f9d59d0>"
]
},
"execution_count": 271,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"coefs = 2 * np.random.random(8) \n",
"\n",
"y_truth = np.mean(np.array([np.sin(c * x_truth) for c in coefs]), axis=0) \n",
"\n",
"dtype = torch.float32\n",
"dx = 0.1\n",
"x_train = torch.hstack([\n",
" torch.tensor(np.pi * np.arange(-4.0, -1.0, step=dx), dtype=dtype),\n",
" torch.tensor(np.pi * np.arange(1.0, 4.0, step=dx), dtype=dtype),\n",
"])\n",
"x_valid = torch.tensor(np.pi * np.arange(-1, 1, step=dx), dtype=dtype)\n",
"y_train = torch.tensor(np.mean(np.array([np.sin(c * x_train.numpy()) for c in coefs]), axis=0))\n",
"y_valid = torch.tensor(np.mean(np.array([np.sin(c * x_valid.numpy()) for c in coefs]), axis=0))\n",
"\n",
"plt.plot(x_truth, y_truth, color='black', label='sinx(x)')\n",
"plt.scatter(x_train, y_train, color='crimson', marker='o', label='training data')\n",
"plt.scatter(x_valid, y_valid, color='goldenrod', marker='o', label='validation data')\n",
"plt.legend(loc='lower left')"
]
},
{
"cell_type": "code",
"execution_count": 272,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "b4413633a6a94b1e92966d73ed95cee5",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/100 [00:00<?, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/bzq/miniconda3/envs/all/lib/python3.7/site-packages/torch/nn/modules/loss.py:528: UserWarning: Using a target size (torch.Size([1])) that is different to the input size (torch.Size([])). This will likely lead to incorrect results due to broadcasting. Please ensure they have the same size.\n",
" return F.mse_loss(input, target, reduction=self.reduction)\n",
"/home/bzq/miniconda3/envs/all/lib/python3.7/site-packages/ipykernel_launcher.py:22: DeprecationWarning: Calling np.sum(generator) is deprecated, and in the future will give a different result. Use np.sum(np.fromiter(generator)) or the python sum builtin instead.\n"
]
},
{
"data": {
"text/plain": [
"Text(0, 0.5, 'MSE Loss')"
]
},
"execution_count": 272,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"width = 8\n",
"model = SineNet(width)\n",
"loss_fun = torch.nn.MSELoss()\n",
"opt = torch.optim.Adam(model.parameters(), lr=0.01)\n",
"\n",
"train_loss_history = []\n",
"valid_loss_history = []\n",
"\n",
"max_epochs = 100\n",
"for i in tqdm(range(max_epochs)):\n",
" train_loss, valid_loss = epoch(x_train, y_train, model, loss_fun, opt=opt, X_valid=x_valid, y_valid=y_valid)\n",
" train_loss_history.append(train_loss)\n",
" valid_loss_history.append(valid_loss)\n",
"\n",
"plt.semilogy(train_loss_history)\n",
"plt.semilogy(valid_loss_history)\n",
"plt.xlabel('Epoch #')\n",
"plt.ylabel('MSE Loss')"
]
},
{
"cell_type": "code",
"execution_count": 273,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7fc03f838d90>"
]
},
"execution_count": 273,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"y_pred = []\n",
"for x in x_truth:\n",
" y_pred.append(model(torch.tensor([x/np.pi], dtype=dtype).flatten()).detach().numpy())\n",
"\n",
"plt.plot(x_truth, y_truth, linewidth=2, color='black', label='sin(x)')\n",
"plt.scatter(x_train, y_train, color='grey', marker='.', alpha=0.6, s=200, label='training data')\n",
"plt.plot(x_truth, np.hstack(y_pred), linewidth=3, color='crimson', linestyle='--', label='Prediction')\n",
"plt.ylim([-2,2])\n",
"plt.legend(bbox_to_anchor=(1.04,1), loc=\"upper left\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Adding regularization\n",
"\n",
"It seems that adding regularization in the form of [weight decay](https://arxiv.org/abs/1711.05101) seems to offer generally better fits, but it's still not perfectly converging."
]
},
{
"cell_type": "code",
"execution_count": 302,
"metadata": {},
"outputs": [],
"source": [
"width = 8\n",
"model = SineNet(width)\n",
"loss_fun = torch.nn.MSELoss()\n",
"opt = torch.optim.AdamW(model.parameters(), lr=0.001)\n",
"\n",
"train_loss_history = []\n",
"valid_loss_history = []"
]
},
{
"cell_type": "code",
"execution_count": 304,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "27f85484c881482fb031f61153494ab4",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/100 [00:00<?, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/bzq/miniconda3/envs/all/lib/python3.7/site-packages/torch/nn/modules/loss.py:528: UserWarning: Using a target size (torch.Size([1])) that is different to the input size (torch.Size([])). This will likely lead to incorrect results due to broadcasting. Please ensure they have the same size.\n",
" return F.mse_loss(input, target, reduction=self.reduction)\n",
"/home/bzq/miniconda3/envs/all/lib/python3.7/site-packages/ipykernel_launcher.py:22: DeprecationWarning: Calling np.sum(generator) is deprecated, and in the future will give a different result. Use np.sum(np.fromiter(generator)) or the python sum builtin instead.\n"
]
},
{
"data": {
"text/plain": [
"Text(0, 0.5, 'MSE Loss')"
]
},
"execution_count": 304,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"max_epochs = 200\n",
"for i in tqdm(range(max_epochs)):\n",
" train_loss, valid_loss = epoch(x_train, y_train, model, loss_fun, opt=opt, X_valid=x_valid, y_valid=y_valid)\n",
" train_loss_history.append(train_loss)\n",
" valid_loss_history.append(valid_loss)\n",
"\n",
"plt.semilogy(train_loss_history)\n",
"plt.semilogy(valid_loss_history)\n",
"plt.xlabel('Epoch #')\n",
"plt.ylabel('MSE Loss')"
]
},
{
"cell_type": "code",
"execution_count": 305,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7fc03d35f050>"
]
},
"execution_count": 305,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"y_pred = []\n",
"for x in x_truth:\n",
" y_pred.append(model(torch.tensor([x/np.pi], dtype=dtype).flatten()).detach().numpy())\n",
"\n",
"plt.plot(x_truth, y_truth, linewidth=2, color='black', label='sin(x)')\n",
"plt.scatter(x_train, y_train, color='grey', marker='.', alpha=0.6, s=200, label='training data')\n",
"plt.plot(x_truth, np.hstack(y_pred), linewidth=3, color='crimson', linestyle='--', label='Prediction')\n",
"plt.ylim([-2,2])\n",
"plt.legend(bbox_to_anchor=(1.04,1), loc=\"upper left\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Let's overparameterize!\n",
"\n",
"Of course, one of the main things we often do in machine learning is massively overparameterize the models. In some sense this is why we add regularization, but it's also [helpful in it's own right](https://arxiv.org/abs/1811.04918). I was wondering if we'd be able to get some sort of [double descent](https://openai.com/blog/deep-double-descent/) type behavior if we add more and more parameters to this problem. Here I'm just testing for \"Model-wise double descent\", but expanding out to different max epochs to look for a signal there would be interesting (and related to the [grokking paper](https://mathai-iclr.github.io/papers/papers/MATHAI_29_paper.pdf)"
]
},
{
"cell_type": "code",
"execution_count": 306,
"metadata": {},
"outputs": [],
"source": [
"iterations_per_width = 20 # Repeat 20 trainings and take the one with the lowest training loss\n",
"widths_to_try = [1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024]\n",
"max_epochs = 100"
]
},
{
"cell_type": "code",
"execution_count": 308,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "cb6c02798e0646e9bc740668a950a552",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/11 [00:00<?, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/bzq/miniconda3/envs/all/lib/python3.7/site-packages/ipykernel_launcher.py:22: DeprecationWarning: Calling np.sum(generator) is deprecated, and in the future will give a different result. Use np.sum(np.fromiter(generator)) or the python sum builtin instead.\n"
]
}
],
"source": [
"lowest_losses = []\n",
"best_models = []\n",
"for width in tqdm(widths_to_try):\n",
" test_models = []\n",
" test_losses = []\n",
" \n",
" # Sample 20 different trainings\n",
" for i in range(iterations_per_width):\n",
" model = SineNet(width)\n",
" loss_fun = torch.nn.MSELoss()\n",
" opt = torch.optim.AdamW(model.parameters(), lr=0.001)\n",
" train_loss_history = []\n",
" valid_loss_history = []\n",
" for i in range(max_epochs):\n",
" train_loss, valid_loss = epoch(x_train, y_train, model, loss_fun, opt=opt, X_valid=x_valid, y_valid=y_valid)\n",
" train_loss_history.append(train_loss)\n",
" valid_loss_history.append(valid_loss)\n",
" test_models.append(model)\n",
" test_losses.append(train_loss_history[-1])\n",
" \n",
" # Record the best loss and associated model \n",
" lowest_loss_idx = np.argmin(test_losses)\n",
" lowest_losses.append(test_losses[lowest_loss_idx])\n",
" best_models.append(test_models[lowest_loss_idx])"
]
},
{
"cell_type": "code",
"execution_count": 320,
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/bzq/miniconda3/envs/all/lib/python3.7/site-packages/ipykernel_launcher.py:2: MatplotlibDeprecationWarning: The 'basex' parameter of __init__() has been renamed 'base' since Matplotlib 3.3; support for the old name will be dropped two minor releases later.\n",
" \n",
"/home/bzq/miniconda3/envs/all/lib/python3.7/site-packages/ipykernel_launcher.py:3: MatplotlibDeprecationWarning: The 'basey' parameter of __init__() has been renamed 'base' since Matplotlib 3.3; support for the old name will be dropped two minor releases later.\n",
" This is separate from the ipykernel package so we can avoid doing imports until\n"
]
},
{
"data": {
"text/plain": [
"Text(0, 0.5, 'MSE Loss')"
]
},
"execution_count": 320,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(widths_to_try, lowest_losses)\n",
"plt.gca().set_xscale('log', basex=2)\n",
"plt.gca().set_yscale('log', basey=10)\n",
"plt.xlabel('Number parameters')\n",
"plt.ylabel('MSE Loss')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Fin\n",
"\n",
"Okay, we see none of them ever made it to a perfect fit, but at 8 parameters we get a huge dropdown in loss, which is good since that's hwo much model capacity we know we needed apriori. Anyhow, just some random messings around. I'll leave you with the traces of all of those \"best models\".\n"
]
},
{
"cell_type": "code",
"execution_count": 319,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7fc03cf1f390>"
]
},
"execution_count": 319,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(x_truth, y_truth, linewidth=2, color='black', label='sin(x)')\n",
"plt.scatter(x_train, y_train, color='grey', marker='.', alpha=0.6, s=200, label='training data')\n",
"\n",
"for model in best_models[3:]:\n",
" y_pred = []\n",
" for x in x_truth:\n",
" y_pred.append(model(torch.tensor([x/np.pi], dtype=dtype).flatten()).detach().numpy())\n",
" plt.plot(x_truth, np.hstack(y_pred), linewidth=3, alpha=0.3, color='crimson', linestyle='-')\n",
"plt.ylim([-2,2])\n",
"plt.legend(bbox_to_anchor=(1.04,1), loc=\"upper left\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "all",
"language": "python",
"name": "all"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.11"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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