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@quantshah
Created April 10, 2019 14:03
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Automatic differentiation and gradient based optimization with Autograd and Pytorch
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Automatic differentiation and optimization with autograd and Pytorch\n",
"\n",
"Shahnawaz Ahmed (https://github.com/quantshah)\n",
"\n",
"shahnawaz.ahmed95@gmail.com"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Installation\n",
"\n",
"- We need Pytorch and Autograd which can be installed easily with pip or conda (https://www.anaconda.com/distribution/) which is recommended for Windows.\n",
"\n",
"Anaconda is distribution of scientific computing tools like Numpy and Scipy but you can also choose to only install the light verion of the package manager `conda` via a Miniconda install. Once you have conda, install autograd or pytorch using:\n",
"\n",
" - conda install autograd\n",
" - conda install pytorch torchvision -c pytorch"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Autograd"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"import autograd.numpy as np\n",
"from autograd import grad, elementwise_grad\n",
"from autograd.misc.optimizers import adam\n",
"import matplotlib.pyplot as plt\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [],
"source": [
"def func(x):\n",
" \"\"\"\n",
" A simple 1D function with conditionals and loops.\n",
" \n",
" Parameters\n",
" ----------\n",
" x: float\n",
" A number representing the independent variable.\n",
" \n",
" Returns\n",
" -------\n",
" func: float\n",
" The value of the function.\n",
" \"\"\"\n",
" val = 0.\n",
" if x > 0:\n",
" val = 4*(x-4)**2 + (x)**2\n",
" else:\n",
" # even throw in some loops with random numbers\n",
" for i in range(5):\n",
" val += np.sin(np.random.random())*x + x**2/(1+np.random.random())\n",
" return val\n",
"\n",
"func_grad = grad(func)\n",
"x = np.linspace(-5, 5, 100)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Visualizing the functions"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 720x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(1, 2, figsize=(10, 4))\n",
"ax[0].plot(xlist, [func(i) for i in x])\n",
"ax[0].set_xlabel(\"t\")\n",
"ax[0].set_ylabel(r\"f\")\n",
"\n",
"ax[1].plot(xlist, [-func_grad(i) for i in x])\n",
"ax[1].set_xlabel(\"t\")\n",
"ax[1].set_ylabel(r\"-$\\nabla f$\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Using one of the gradient based optimization methods (SGD, Adam)\n",
"\n",
"Implementing your own gradient descent once you have the gradient function is very easy. Autograd implements this in (https://github.com/HIPS/autograd/blob/master/autograd/misc/optimizers.py) which deals with vector valued inputs. \n",
"\n",
"Here we implement the simple version of the same for our basic 1D function. Going to 2D would mean you import the optimizer from a standard library such as \n",
"\n",
"```\n",
"from autograd.misc.optimizers import sgd\n",
"```"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [],
"source": [
"def sgd(gradient, x, num_iters=200, step_size=0.01, mass=0.9):\n",
" \"\"\"\n",
" Stochastic gradient descent with momentum.\n",
" grad() must have signature grad(x, i), where i is the iteration number.\n",
" \n",
" Parameters\n",
" ----------\n",
" gradient: callable\n",
" The gradient function which is given by autograd.\n",
"\n",
" x: float\n",
" The initial point to start the optimisation.\n",
" \n",
" num_iters: int\n",
" The number of steps in the optimization.\n",
" \n",
" step_size: float\n",
" The step size.\n",
" \n",
" mass: float\n",
" A value between (0, 1) for the \"mass\".\n",
" \"\"\"\n",
" velocity = 0\n",
" for i in range(num_iters):\n",
" g = gradient(x)\n",
" velocity = mass * velocity - (1.0 - mass) * g\n",
" x = x + step_size*velocity\n",
" return x"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Optimal x: 3.199999999992399; f(x) 12.8\n",
"Optimal x: -0.344250584253504; f(x) -0.3025362443120325\n",
"Optimal x: -0.32181999439427367; f(x) -0.17913723233273432\n"
]
}
],
"source": [
"# Different inital states and values of parameters\n",
"\n",
"x0 = 1.2\n",
"optimal_x = sgd(func_grad, x0, num_iters=500)\n",
"print(\"Optimal x: {}; f(x) {}\".format(optimal_x, func(optimal_x)))\n",
"\n",
"x0 = -1.\n",
"optimal_x = sgd(func_grad, x0, num_iters=1000)\n",
"print(\"Optimal x: {}; f(x) {}\".format(optimal_x, func(optimal_x)))\n",
"\n",
"x0 = -.03\n",
"optimal_x = sgd(func_grad, x0, num_iters=1000, mass=.8)\n",
"print(\"Optimal x: {}; f(x) {}\".format(optimal_x, func(optimal_x)))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 2D functions, and elementwise gradient"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Gradient wrt theta for fixed x: 0.7853981633974481\n"
]
}
],
"source": [
"def func(x, theta):\n",
" \"\"\"\n",
" A 2D function with independent variable x and parameter theta.\n",
" \n",
" Parameters\n",
" ----------\n",
" x: float\n",
" A number representing the independent variable.\n",
" \n",
" theta: float\n",
" A parameter of the model which we wish to optimize\n",
" and compute the gradient of.\n",
"\n",
" Returns\n",
" -------\n",
" func: float\n",
" The value of the function.\n",
" \"\"\"\n",
" ans = theta**2*(x**3) + np.sin(theta)**2\n",
" return ans\n",
"\n",
"\n",
"# Here we use the elementwise_grad function to get grad wrt theta\n",
"\n",
"func_grad = elementwise_grad(func, 1)\n",
"print(\"Gradient wrt theta for fixed x:\", func_grad(0.5, np.pi))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Plotting the function and gradient surface"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(10, 10))\n",
"ax = fig.add_subplot(111, projection='3d')\n",
"\n",
"x = np.arange(-1, 1.0, 0.05)\n",
"theta = np.arange(-np.pi, np.pi, 0.05)\n",
"\n",
"X, Y = np.meshgrid(x, theta)\n",
"zs = np.array(func(np.ravel(X), np.ravel(Y)))\n",
"Z = zs.reshape(X.shape)\n",
"ax.plot_surface(X, Y, Z)\n",
"plt.title(\"f\")\n",
"plt.show()\n",
"\n",
"fig = plt.figure(figsize=(10, 10))\n",
"ax = fig.add_subplot(111, projection='3d')\n",
"\n",
"x = np.arange(-1, 1.0, 0.05)\n",
"theta = np.arange(-np.pi, np.pi, 0.05)\n",
"\n",
"X, Y = np.meshgrid(x, theta)\n",
"zs = np.array(func_grad(np.ravel(X), np.ravel(Y)))\n",
"Z = zs.reshape(X.shape)\n",
"ax.plot_surface(X, Y, Z)\n",
"plt.title(r\"$\\nabla f$\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Torch"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [],
"source": [
"import torch\n",
"from torch import Tensor\n",
"import torch.optim as optim"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [],
"source": [
"# Define the tensors using the pytorch function to get gradients"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"tensor([[2.8610, 2.5729],\n",
" [2.8999, 2.5133]], dtype=torch.float64, grad_fn=<AddBackward0>) <AddBackward0 object at 0x11fba8400>\n"
]
}
],
"source": [
"random_tensor = np.random.random((2, 2))\n",
"\n",
"# Convert numpy data to torch tensors\n",
"x = torch.tensor(random_tensor, requires_grad=True)\n",
"y = x + 2\n",
"print(y, y.grad_fn)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Write all your function with the Pytorch primitives"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"tensor([[24.5560, 19.8597],\n",
" [25.2281, 18.9493]], dtype=torch.float64, grad_fn=<MulBackward0>) tensor(22.1483, dtype=torch.float64, grad_fn=<MeanBackward1>)\n"
]
}
],
"source": [
"z = y * y * 3\n",
"out = z.mean()\n",
"\n",
"print(z, out)"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"tensor([[4.2915, 3.8594],\n",
" [4.3498, 3.7699]], dtype=torch.float64)\n"
]
}
],
"source": [
"# Run the backward pass to compute the gradients\n",
"out.backward()\n",
"print(x.grad)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Minimal regression example\n",
"\n",
"https://discuss.pytorch.org/t/minimal-working-example-of-optim-sgd/11623/2"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [],
"source": [
"# Generate some datapoints\n",
"\n",
"def output(x):\n",
" \"\"\"\n",
" Output function we are trying to fit. This is usually uknown\n",
" to us and we want to approximate this function from data. \n",
" We do not need to find grads for this\n",
" \n",
" Parameters\n",
" ----------\n",
" x: float\n",
" The independent variable or the input.\n",
" \"\"\"\n",
" val = np.sin(x)*x + np.random.random()**2\n",
" return torch.Tensor(val)"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"N = 64\n",
"x0 = torch.rand(N, 1)\n",
"\n",
"y = output(x0)\n",
"x = torch.Tensor(x0)\n",
"\n",
"plt.scatter(x.data.numpy(), y.data.data.numpy())\n",
"plt.xlabel(\"x\")\n",
"plt.ylabel(\"f(x)\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Construct the model function that we use to fit the data\n",
"\n",
"This can be anything computed with the torch primitives, eg., a neural network, variational circuit etc."
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [],
"source": [
"def model(t, par1, par2):\n",
" \"\"\"\n",
" The model we are using to fit the unknown data. This could be\n",
" a neural network or any variational circuit or ansatz. For more\n",
" details, look into the pytorch examples for nn.Module.\n",
" \n",
" Parameters\n",
" ----------\n",
" t: float\n",
" The independent variable or the input.\n",
" \n",
" par1, par2: list\n",
" A set of the parameters that we are trying to optimize. This\n",
" is equivalent to the weights of the network or the parameters\n",
" in any variational function.\n",
" \"\"\"\n",
" return torch.exp(par1*t**2) + par2\n",
"\n",
"theta1 = torch.randn(1, requires_grad=True)\n",
"theta2 = torch.randn(1, requires_grad=True)\n",
"\n",
"# Select the optimizer you want to use and pass it the model parameters/\n",
"optimizer = optim.Adam([theta1, theta2], lr=0.1)"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Iter: 0 Loss: tensor(0.1981)\n",
"Iter: 1000 Loss: tensor(0.0011)\n",
"Iter: 2000 Loss: tensor(0.0011)\n",
"Iter: 3000 Loss: tensor(0.0011)\n",
"Iter: 4000 Loss: tensor(0.0011)\n",
"Iter: 5000 Loss: tensor(0.0011)\n",
"Iter: 6000 Loss: tensor(0.0011)\n",
"Iter: 7000 Loss: tensor(0.0011)\n",
"Iter: 8000 Loss: tensor(0.0011)\n",
"Iter: 9000 Loss: tensor(0.0017)\n"
]
}
],
"source": [
"for i in range(10000):\n",
" optimizer.zero_grad()\n",
" y_pred = model(x, theta1, theta2)\n",
"\n",
" loss = ((y_pred - y)**2).mean()\n",
" loss.backward()\n",
"\n",
" optimizer.step()\n",
" if i % 1000 == 0:\n",
" print(\"Iter: \", i, \"Loss:\", loss.data)"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"y_pred = model(x, theta1, theta2)\n",
"plt.scatter(x.data.numpy(), y.data.numpy(), label=\"Data\")\n",
"plt.scatter(x.data.numpy(), y_pred.data.numpy(), label = \"Fit\")\n",
"plt.xlabel(\"x\")\n",
"plt.ylabel(\"f(x)\")\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.7.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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