{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Tune a CNN on MNIST\n", "\n", "This tutorial walks through using Ax to tune two hyperparameters (learning rate and momentum) for a PyTorch CNN on the MNIST dataset trained using SGD with momentum.\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 10-01 15:37:47] ax.utils.notebook.plotting: Injecting Plotly library into cell. Do not overwrite or delete cell.\n" ] }, { "data": { "text/html": [ " \n", " " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import torch\n", "import numpy as np\n", "\n", "from ax.plot.contour import plot_contour\n", "from ax.plot.trace import optimization_trace_single_method\n", "from ax.service.managed_loop import optimize\n", "from ax.utils.notebook.plotting import render, init_notebook_plotting\n", "from ax.utils.tutorials.cnn_utils import load_mnist, train, evaluate, CNN\n", "\n", "init_notebook_plotting()" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "torch.manual_seed(12345)\n", "dtype = torch.float\n", "device = torch.device(\"cuda\" if torch.cuda.is_available() else \"cpu\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Load MNIST data\n", "First, we need to load the MNIST data and partition it into training, validation, and test sets.\n", "\n", "Note: this will download the dataset if necessary." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\r", "0.0%" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\r", "0.1%" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Downloading http://yann.lecun.com/exdb/mnist/train-images-idx3-ubyte.gz to ./data/MNIST/raw/train-images-idx3-ubyte.gz\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\r", "0.2%" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\r", "0.2%" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\r", "0.3%" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\r", "0.4%" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\r", "0.5%" ] }, { "name": "stderr", 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This means you can write to the underlying (supposedly non-writeable) NumPy array using the tensor. You may want to copy the array to protect its data or make it writeable before converting it to a tensor. This type of warning will be suppressed for the rest of this program. (Triggered internally at /pytorch/torch/csrc/utils/tensor_numpy.cpp:141.)\n", "\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Extracting ./data/MNIST/raw/t10k-images-idx3-ubyte.gz to ./data/MNIST/raw\n", "Downloading http://yann.lecun.com/exdb/mnist/t10k-labels-idx1-ubyte.gz to ./data/MNIST/raw/t10k-labels-idx1-ubyte.gz\n", "Extracting ./data/MNIST/raw/t10k-labels-idx1-ubyte.gz to ./data/MNIST/raw\n", "Processing...\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Done!\n" ] } ], "source": [ "BATCH_SIZE = 512\n", "train_loader, valid_loader, test_loader = load_mnist(batch_size=BATCH_SIZE)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Define function to optimize\n", "In this tutorial, we want to optimize classification accuracy on the validation set as a function of the learning rate and momentum. The function takes in a parameterization (set of parameter values), computes the classification accuracy, and returns a dictionary of metric name ('accuracy') to a tuple with the mean and standard error." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def train_evaluate(parameterization):\n", " net = CNN()\n", " net = train(net=net, train_loader=train_loader, parameters=parameterization, dtype=dtype, device=device)\n", " return evaluate(\n", " net=net,\n", " data_loader=valid_loader,\n", " dtype=dtype,\n", " device=device,\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Run the optimization loop\n", "Here, we set the bounds on the learning rate and momentum and set the parameter space for the learning rate to be on a log scale. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[INFO 10-01 15:37:50] ax.service.utils.instantiation: Inferred value type of ParameterType.FLOAT for parameter lr. If that is not the expected value type, you can explicity specify 'value_type' ('int', 'float', 'bool' or 'str') in parameter dict.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 10-01 15:37:50] ax.service.utils.instantiation: Inferred value type of ParameterType.FLOAT for parameter momentum. If that is not the expected value type, you can explicity specify 'value_type' ('int', 'float', 'bool' or 'str') in parameter dict.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 10-01 15:37:50] ax.modelbridge.dispatch_utils: Using Bayesian Optimization generation strategy: GenerationStrategy(name='Sobol+GPEI', steps=[Sobol for 5 trials, GPEI for subsequent trials]). Iterations after 5 will take longer to generate due to model-fitting.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 10-01 15:37:50] ax.service.managed_loop: Started full optimization with 20 steps.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 10-01 15:37:50] ax.service.managed_loop: Running optimization trial 1...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 10-01 15:38:01] ax.service.managed_loop: Running optimization trial 2...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 10-01 15:38:11] ax.service.managed_loop: Running optimization trial 3...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 10-01 15:38:21] ax.service.managed_loop: Running optimization trial 4...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 10-01 15:38:31] ax.service.managed_loop: Running optimization trial 5...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 10-01 15:38:41] ax.service.managed_loop: Running optimization trial 6...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/travis/build/facebook/Ax/ax/modelbridge/torch.py:311: UserWarning:\n", "\n", "To copy construct from a tensor, it is recommended to use sourceTensor.clone().detach() or sourceTensor.clone().detach().requires_grad_(True), rather than torch.tensor(sourceTensor).\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 10-01 15:38:52] ax.service.managed_loop: Running optimization trial 7...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/travis/build/facebook/Ax/ax/modelbridge/torch.py:311: UserWarning:\n", "\n", "To copy construct from a tensor, it is recommended to use sourceTensor.clone().detach() or sourceTensor.clone().detach().requires_grad_(True), rather than torch.tensor(sourceTensor).\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 10-01 15:39:04] ax.service.managed_loop: Running optimization trial 8...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/travis/build/facebook/Ax/ax/modelbridge/torch.py:311: UserWarning:\n", "\n", "To copy construct from a tensor, it is recommended to use sourceTensor.clone().detach() or sourceTensor.clone().detach().requires_grad_(True), rather than torch.tensor(sourceTensor).\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 10-01 15:39:15] ax.service.managed_loop: Running optimization trial 9...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/travis/build/facebook/Ax/ax/modelbridge/torch.py:311: UserWarning:\n", "\n", "To copy construct from a tensor, it is recommended to use sourceTensor.clone().detach() or sourceTensor.clone().detach().requires_grad_(True), rather than torch.tensor(sourceTensor).\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 10-01 15:39:27] ax.service.managed_loop: Running optimization trial 10...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/travis/build/facebook/Ax/ax/modelbridge/torch.py:311: UserWarning:\n", "\n", "To copy construct from a tensor, it is recommended to use sourceTensor.clone().detach() or sourceTensor.clone().detach().requires_grad_(True), rather than torch.tensor(sourceTensor).\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 10-01 15:39:38] ax.service.managed_loop: Running optimization trial 11...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/travis/build/facebook/Ax/ax/modelbridge/torch.py:311: UserWarning:\n", "\n", "To copy construct from a tensor, it is recommended to use sourceTensor.clone().detach() or sourceTensor.clone().detach().requires_grad_(True), rather than torch.tensor(sourceTensor).\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 10-01 15:39:50] ax.service.managed_loop: Running optimization trial 12...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/travis/build/facebook/Ax/ax/modelbridge/torch.py:311: UserWarning:\n", "\n", "To copy construct from a tensor, it is recommended to use sourceTensor.clone().detach() or sourceTensor.clone().detach().requires_grad_(True), rather than torch.tensor(sourceTensor).\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 10-01 15:40:01] ax.service.managed_loop: Running optimization trial 13...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/travis/build/facebook/Ax/ax/modelbridge/torch.py:311: UserWarning:\n", "\n", "To copy construct from a tensor, it is recommended to use sourceTensor.clone().detach() or sourceTensor.clone().detach().requires_grad_(True), rather than torch.tensor(sourceTensor).\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 10-01 15:40:12] ax.service.managed_loop: Running optimization trial 14...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/travis/build/facebook/Ax/ax/modelbridge/torch.py:311: UserWarning:\n", "\n", "To copy construct from a tensor, it is recommended to use sourceTensor.clone().detach() or sourceTensor.clone().detach().requires_grad_(True), rather than torch.tensor(sourceTensor).\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 10-01 15:40:23] ax.service.managed_loop: Running optimization trial 15...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/travis/build/facebook/Ax/ax/modelbridge/torch.py:311: UserWarning:\n", "\n", "To copy construct from a tensor, it is recommended to use sourceTensor.clone().detach() or sourceTensor.clone().detach().requires_grad_(True), rather than torch.tensor(sourceTensor).\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 10-01 15:40:34] ax.service.managed_loop: Running optimization trial 16...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/travis/build/facebook/Ax/ax/modelbridge/torch.py:311: UserWarning:\n", "\n", "To copy construct from a tensor, it is recommended to use sourceTensor.clone().detach() or sourceTensor.clone().detach().requires_grad_(True), rather than torch.tensor(sourceTensor).\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 10-01 15:40:46] ax.service.managed_loop: Running optimization trial 17...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/travis/build/facebook/Ax/ax/modelbridge/torch.py:311: UserWarning:\n", "\n", "To copy construct from a tensor, it is recommended to use sourceTensor.clone().detach() or sourceTensor.clone().detach().requires_grad_(True), rather than torch.tensor(sourceTensor).\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 10-01 15:40:57] ax.service.managed_loop: Running optimization trial 18...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/travis/build/facebook/Ax/ax/modelbridge/torch.py:311: UserWarning:\n", "\n", "To copy construct from a tensor, it is recommended to use sourceTensor.clone().detach() or sourceTensor.clone().detach().requires_grad_(True), rather than torch.tensor(sourceTensor).\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 10-01 15:41:08] ax.service.managed_loop: Running optimization trial 19...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/travis/build/facebook/Ax/ax/modelbridge/torch.py:311: UserWarning:\n", "\n", "To copy construct from a tensor, it is recommended to use sourceTensor.clone().detach() or sourceTensor.clone().detach().requires_grad_(True), rather than torch.tensor(sourceTensor).\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 10-01 15:41:20] ax.service.managed_loop: Running optimization trial 20...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/travis/build/facebook/Ax/ax/modelbridge/torch.py:311: UserWarning:\n", "\n", "To copy construct from a tensor, it is recommended to use sourceTensor.clone().detach() or sourceTensor.clone().detach().requires_grad_(True), rather than torch.tensor(sourceTensor).\n", "\n" ] } ], "source": [ "best_parameters, values, experiment, model = optimize(\n", " parameters=[\n", " {\"name\": \"lr\", \"type\": \"range\", \"bounds\": [1e-6, 0.4], \"log_scale\": True},\n", " {\"name\": \"momentum\", \"type\": \"range\", \"bounds\": [0.0, 1.0]},\n", " ],\n", " evaluation_function=train_evaluate,\n", " objective_name='accuracy',\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can introspect the optimal parameters and their outcomes:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'lr': 0.00032609607345790854, 'momentum': 0.5589304304482358}" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "best_parameters" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "({'accuracy': 0.9391661306353767},\n", " {'accuracy': {'accuracy': 9.507152920732499e-09}})" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "means, covariances = values\n", "means, covariances" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4. Plot response surface\n", "\n", "Contour plot showing classification accuracy as a function of the two hyperparameters.\n", "\n", "The black squares show points that we have actually run, notice how they are clustered in the optimal region." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/travis/build/facebook/Ax/ax/modelbridge/torch.py:311: UserWarning:\n", "\n", "To copy construct from a tensor, it is recommended to use sourceTensor.clone().detach() or sourceTensor.clone().detach().requires_grad_(True), rather than torch.tensor(sourceTensor).\n", "\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "linkText": "Export to plot.ly", "plotlyServerURL": "https://plot.ly", "showLink": false }, "data": [ { "autocolorscale": false, "autocontour": true, "colorbar": { "tickfont": { "size": 8 }, "ticksuffix": "", "x": 0.45, "y": 0.5 }, "colorscale": [ [ 0.0, "rgb(247,252,253)" ], [ 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