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@andreh7
Last active August 13, 2024 23:48
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Learning discontinuous functions with PyTorch\n",
"\n",
"This notebook is licensed under the Creative Commons [cc by-sa 3.0](https://creativecommons.org/licenses/by-sa/3.0/) License.\n",
"\n",
"See the full article here: https://medium.com/@andre.holzner/learning-discontinuous-functions-in-pytorch-eaa296f04289"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import numpy as np\n",
"np.random.seed(1773)\n",
"\n",
"import matplotlib.pyplot as plt\n",
"import math\n",
"%matplotlib inline\n",
"\n",
"plt.rcParams['figure.figsize'] = (8.0, 8.0)\n",
"\n",
"from math import sqrt"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# the function to learn\n",
"def target_func(x,y):\n",
"\n",
" xcontrib = np.heaviside(x, 1) * x**2 + (1 - np.heaviside(x,1) * -1)\n",
" ycontrib = np.heaviside(y, 1) * y**2\n",
" \n",
" return ycontrib - xcontrib \n",
" \n",
"# we define this function on [-1,1] x [-1,1]\n",
"domain = [ (-1,1), (-1,1) ]\n",
"\n",
"# binning for learning piecewise constant functions\n",
"n_bins = (50,50)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### plot the target function"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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iCGE5xBYoseAGGoHwji17VsrMVafTqQ4k2NnZwczMDO7fv4+bN2+iublZzUjO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\nnJ2dLapFanbCTzQaxdWrV+H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Oore3F729vTnXpsdgSVxtJk+x5WBgsLfBfAa+ABAx1xdY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\n/wDylyw28HGpCgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10ed8e1d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from mpl_toolkits.mplot3d import Axes3D\n",
"import matplotlib.pyplot as plt\n",
"from matplotlib import cm\n",
"from matplotlib.ticker import LinearLocator, FormatStrFormatter\n",
"import numpy as np\n",
"\n",
"fig = plt.figure()\n",
"ax = fig.gca(projection='3d')\n",
"\n",
"X = np.linspace(*domain[0],101)\n",
"Y = np.linspace(*domain[1],101)\n",
"X, Y = np.meshgrid(X, Y)\n",
"Z = target_func(X,Y)\n",
"\n",
"# Plot the surface.\n",
"surf = ax.plot_surface(X, Y, Z, cmap = cm.coolwarm,\n",
" linewidth=0, antialiased=False)\n",
"plt.xlabel('X')\n",
"plt.ylabel('Y')\n",
"\n",
"# Add a color bar which maps values to colors.\n",
"fig.colorbar(surf, shrink=0.5, aspect=5);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### draw points from the target function"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"num_points = 10000\n",
"\n",
"input_values = np.vstack([\n",
" np.random.uniform(*domain[0], num_points), # x values\n",
" np.random.uniform(*domain[1], num_points) # values\n",
"]).astype('float32').T\n",
"\n",
"target_values = target_func(input_values[:,0], input_values[:,1])"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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PUtaPkuv169dZWFgY5ynb8H7LfrAytTwT9g7v3u/B+ifJrdfrcenSJc6cOfOVQeDPQ6ad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\nExMTB/5AeHipttvtcvnyZc6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fkylY7CTMNQN+sdyl4jogyuB+o8s93TjXNCru8PhN2Tg0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\nWetiVwsQGIY2zlb9HYxjasWfVEoMIfoepRa9UM+22Cb81I4Bv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kDGFiht/EQd28KzBbFU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A2syTzWYfscXaLvbazbtZqjb1+7xw4cKGqRXLsvbkdrNTKKXodrs0m03eeOONHX8ZpZR7Tut2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\nSqFQKBSKjVAxpVAoFArFRv4/0wjcNXYxo6QAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x111714e10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"num_points = 10000\n",
"\n",
"input_values = np.vstack([\n",
" np.random.uniform(*domain[0], num_points), # x values\n",
" np.random.uniform(*domain[1], num_points) # values\n",
"]).astype('float32').T\n",
"\n",
"target_values = target_func(input_values[:,0], input_values[:,1])\n",
"\n",
"fig = plt.figure()\n",
"ax = fig.gca(projection='3d')\n",
"\n",
"ax.scatter3D(input_values[:,0], input_values[:,1], target_values, '.');"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# split into train and test set\n",
"from sklearn.model_selection import train_test_split\n",
"\n",
"(input_train, input_test, \n",
" target_train, target_test) = train_test_split(input_values, \n",
" target_values, \n",
" test_size=0.20, \n",
" random_state=42)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### build the network"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import torch\n",
"import torch.nn as nn\n",
"import torch.nn.functional as F\n",
"import torch.optim as optim\n",
"from torch.autograd import Variable"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"class Net(nn.Module):\n",
" \n",
" def __init__(self, n_bins_xy, domain_xy):\n",
" \n",
" super(Net, self).__init__()\n",
" \n",
" # define the banks of coefficients in the X and Y direction\n",
" # first index is the bin index, second index is the variable index (X or Y)\n",
" self.coeffs = nn.Parameter(torch.zeros(n_bins_xy[0], 2))\n",
" \n",
" self.domain_xy = np.array(domain_xy)\n",
" self.n_bins_xy = np.array(n_bins_xy)\n",
" \n",
" # calculate bin width for both coordinates\n",
" self.bin_width_xy = (self.domain_xy[:,1] - self.domain_xy[:,0]) / self.n_bins_xy\n",
" \n",
" #----------------------------------------\n",
"\n",
" def single_coord_func(self, input, coord):\n",
" \"\"\"function for a single coordinate\"\"\"\n",
" \n",
" indices = np.floor((input - self.domain_xy[coord,0]) / self.bin_width_xy[coord])\n",
" \n",
" # fold in underflow/overflow bins\n",
" indices = np.clip(indices, 0, self.n_bins_xy[coord] - 1)\n",
" \n",
" return torch.cat([ self.coeffs[indices[row], coord] for row in range(len(input)) ])\n",
" \n",
" #----------------------------------------\n",
" \n",
" def forward(self, input):\n",
" \n",
" batch_size = input.size(0)\n",
" \n",
" # points is a list of list of 2D points\n",
" # the first index is the minibatch index, the second index is the coordinate index\n",
"\n",
" # find the x bin number of each point\n",
" indices = np.zeros((batch_size,2))\n",
" \n",
" input = input.data.numpy()\n",
" \n",
" return self.single_coord_func(input[:,0], 0) + self.single_coord_func(input[:,1], 1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### run training"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"starting training\n",
"epoch 1: train loss: 2.3585 test loss: 1.9868\n",
"epoch 2: train loss: 1.6975 test loss: 1.4325\n",
"epoch 3: train loss: 1.2263 test loss: 1.0385\n",
"epoch 4: train loss: 0.8910 test loss: 0.7561\n",
"epoch 5: train loss: 0.6483 test loss: 0.5497\n",
"epoch 6: train loss: 0.4686 test loss: 0.3945\n",
"epoch 7: train loss: 0.3334 test loss: 0.2780\n",
"epoch 8: train loss: 0.2323 test loss: 0.1911\n",
"epoch 9: train loss: 0.1578 test loss: 0.1280\n",
"epoch 10: train loss: 0.1045 test loss: 0.0835\n",
"epoch 11: train loss: 0.0674 test loss: 0.0531\n",
"epoch 12: train loss: 0.0425 test loss: 0.0328\n",
"epoch 13: train loss: 0.0261 test loss: 0.0199\n",
"epoch 14: train loss: 0.0158 test loss: 0.0118\n",
"epoch 15: train loss: 0.0093 test loss: 0.0069\n",
"epoch 16: train loss: 0.0054 test loss: 0.0039\n",
"epoch 17: train loss: 0.0030 test loss: 0.0022\n",
"epoch 18: train loss: 0.0017 test loss: 0.0012\n",
"epoch 19: train loss: 0.0009 test loss: 0.0006\n",
"epoch 20: train loss: 0.0005 test loss: 0.0004\n",
"epoch 21: train loss: 0.0003 test loss: 0.0003\n",
"epoch 22: train loss: 0.0002 test loss: 0.0002\n",
"epoch 23: train loss: 0.0002 test loss: 0.0002\n",
"epoch 24: train loss: 0.0002 test loss: 0.0002\n",
"epoch 25: train loss: 0.0002 test loss: 0.0002\n",
"epoch 26: train loss: 0.0002 test loss: 0.0002\n",
"epoch 27: train loss: 0.0002 test loss: 0.0002\n",
"epoch 28: train loss: 0.0002 test loss: 0.0002\n",
"epoch 29: train loss: 0.0002 test loss: 0.0002\n",
"epoch 30: train loss: 0.0002 test loss: 0.0002\n"
]
}
],
"source": [
"# instantiate the model\n",
"model = Net(n_bins_xy = n_bins, domain_xy = domain)\n",
"\n",
"# define the loss function\n",
"lossFunc = nn.MSELoss()\n",
"\n",
"minibatch_size = 32\n",
"\n",
"# number of training epochs\n",
"num_epochs = 30\n",
"\n",
"optimizer = optim.Adam(model.parameters(), lr = 0.001)\n",
"\n",
"train_losses = []; test_losses = []\n",
"\n",
"# variable for target values of test set\n",
"test_target_var = Variable(torch.from_numpy(np.stack(target_test)))\n",
"\n",
"print(\"starting training\")\n",
"for epoch in range(num_epochs):\n",
"\n",
" all_indices = np.arange(len(target_train))\n",
" \n",
" np.random.shuffle(all_indices)\n",
" \n",
" # put model in training mode\n",
" model.train()\n",
" \n",
" train_loss = 0\n",
" train_steps = 0\n",
" \n",
" for start in range(0, len(target_train), minibatch_size):\n",
" \n",
" stop = min(start + minibatch_size, len(target_train))\n",
" \n",
" indices = all_indices[start:stop]\n",
" \n",
" optimizer.zero_grad()\n",
" \n",
" # forward through the network\n",
" # output = model.forward([ input_train[index] for index in indices])\n",
" \n",
" this_inputs = input_train[indices]\n",
"\n",
" # build a Torch variable so that gradients\n",
" # can be propagated\n",
" input_var = Variable(torch.from_numpy(this_inputs))\n",
" \n",
" output = model.forward(input_var)\n",
" \n",
" # build a PyTorch variable with the target value\n",
" # so that we can propagate backwards afterwards\n",
" this_target = Variable(torch.from_numpy(target_train[indices]))\n",
" \n",
" # calculate loss\n",
" loss = lossFunc.forward(output, this_target)\n",
" \n",
" # accumulate \n",
" train_loss += loss.data[0]\n",
"\n",
" # backpropagate \n",
" loss.backward()\n",
" \n",
" # update learning rate \n",
" optimizer.step()\n",
" \n",
" train_steps += 1\n",
" \n",
" train_loss /= train_steps\n",
" train_losses.append(train_loss) \n",
" \n",
" # evaluate model on test set\n",
" model.eval()\n",
" \n",
" output = model.forward(Variable(torch.from_numpy(input_test)))\n",
" \n",
" # calculate loss on test set\n",
" test_loss = lossFunc.forward(output, test_target_var).data[0]\n",
"\n",
" test_losses.append(test_loss)\n",
" \n",
" print (\"epoch %d: train loss: %.4f test loss: %.4f\"% (epoch + 1, train_loss, test_loss))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### plot learned one dimensional functions"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
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APTbXMwkAAKA/6ZkE0GMlruYGAAD0r1a7CpMAeqmUojIJAADoWzPtTsbH9EwC6Jm5yiRx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\n3HVn6HUnHR1MYPMsCuczCjlK4ciTaW4AADSBZCK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"text/plain": [
"<matplotlib.figure.Figure at 0x115ce4dd8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(20,10))\n",
"\n",
"for coord, label in enumerate(['x', 'y']):\n",
" plt.subplot(1,2,coord + 1)\n",
"\n",
" x = np.linspace(*domain[coord], 501)\n",
" plt.plot(x, model.single_coord_func(x, coord).data.numpy())\n",
"\n",
" plt.xlabel(label, fontsize = 20)\n",
" plt.grid()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### plot the learned 2D function"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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zBx/+8IcxNjZWdYElhGcRB0Hd3KLIsmxZ4xo1F/HS0hLOnTuH7u5utLa2RmJN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\nCCFqQAGWEEIIUYP/A4LlqXlCThRXAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x111cb8898>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Z = model.forward(Variable(torch.from_numpy(\n",
" np.vstack([X.ravel(), Y.ravel()]).T\n",
" ))).data.numpy().reshape(X.shape)\n",
"\n",
"fig = plt.figure()\n",
"ax = fig.gca(projection='3d')\n",
"\n",
"surf = ax.plot_surface(X, Y, Z, cmap = cm.coolwarm,\n",
" linewidth=0, antialiased=False)\n",
"\n",
"# Add a color bar which maps values to colors.\n",
"fig.colorbar(surf, shrink=0.5, aspect=5);"
]
}
],
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@zmadscientist
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zmadscientist commented Sep 15, 2020

Your article is a great teaching moment - but I have run into issues running your code as is - specifically during training:

starting training

IndexError Traceback (most recent call last)
in ()
47 input_var = Variable(torch.from_numpy(this_inputs))
48
---> 49 output = model.forward(input_var)
50
51 # build a PyTorch variable with the target value

in forward(self, input)
40 input = input.data.numpy()
41
---> 42 return self.single_coord_func(input[:,0], 0) + self.single_coord_func(input[:,1], 1)

in single_coord_func(self, input, coord)
24 # fold in underflow/overflow bins
25 indices = np.clip(indices, 0, self.n_bins_xy[coord] - 1)
---> 26 return torch.cat([ self.coeffs[indices[row], coord] for row in range(len(input)) ])
27
28 #----------------------------------------

in (.0)
24 # fold in underflow/overflow bins
25 indices = np.clip(indices, 0, self.n_bins_xy[coord] - 1)
---> 26 return torch.cat([ self.coeffs[indices[row], coord] for row in range(len(input)) ])
27
28 #----------------------------------------

IndexError: only integers, slices (:), ellipsis (...), None and long or byte Variables are valid indices (got numpy.float32)

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