{ "cells": [ { "cell_type": "markdown", "id": "plain-background", "metadata": {}, "source": [ "# Linear Regression - Sampling\n", "\n", "Implementation of a linear regression model. Weights are estimated with Monte Carlo Markov Chain (MCMC) sampling using [PyTorch distributions](https://pytorch.org/docs/stable/distributions.html) & [Pyro](http://pyro.ai/). \n", "\n", "$y \\sim \\mathcal{N}(\\alpha x + \\beta, \\sigma)$\n", "\n", "\n", "## Setting up the environment" ] }, { "cell_type": "code", "execution_count": 1, "id": "private-community", "metadata": {}, "outputs": [], "source": [ "import os\n", "\n", "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "import torch\n", "import pyro\n", "import pyro.distributions as dist\n", "from pyro.infer import MCMC, NUTS\n", "from sklearn.metrics import r2_score\n", "from sklearn.model_selection import train_test_split\n", "\n", "cwd = os.getcwd()\n", "if cwd.endswith('notebook'):\n", " os.chdir('..')\n", " cwd = os.getcwd()" ] }, { "cell_type": "code", "execution_count": 2, "id": "acoustic-ceremony", "metadata": {}, "outputs": [], "source": [ "sns.set(palette='colorblind', font_scale=1.3)\n", "palette = sns.color_palette()" ] }, { "cell_type": "markdown", "id": "sound-gibraltar", "metadata": {}, "source": [ "## Define model" ] }, { "cell_type": "code", "execution_count": 3, "id": "occupied-dream", "metadata": {}, "outputs": [], "source": [ "def linear_model(x_obs, y_obs):\n", " α = pyro.sample('α', dist.Normal(0., 10.))\n", " β = pyro.sample('β', dist.Normal(0., 10.))\n", " σ = pyro.sample('σ', dist.Uniform(0., 10.))\n", " m = α * x_obs + β\n", " with pyro.plate('data', len(x_obs)):\n", " pyro.sample('obs', dist.Normal(m, σ), obs=y_obs)" ] }, { "cell_type": "markdown", "id": "random-nurse", "metadata": {}, "source": [ "## Generate dataset" ] }, { "cell_type": "code", "execution_count": 4, "id": "domestic-blame", "metadata": {}, "outputs": [], "source": [ "α_actual = 2.6\n", "β_actual = 3.3\n", "σ_actual = 0.7" ] }, { "cell_type": "code", "execution_count": 5, "id": "opened-louisiana", "metadata": {}, "outputs": [], "source": [ "def generate_samples(α, β, σ, min_x=-1, max_x=1, n_samples=500):\n", " x = np.linspace(min_x, max_x, n_samples)[:, np.newaxis]\n", " y = α * x + β\n", " dist = torch.distributions.Normal(torch.from_numpy(y), σ)\n", " return x, y, dist.sample().detach().numpy()" ] }, { "cell_type": "code", "execution_count": 6, "id": "stylish-coaching", "metadata": {}, "outputs": [], "source": [ "def plot_line(x, y, y_sample):\n", " f, ax = plt.subplots(1, 1, figsize=(12, 6))\n", " ax.plot(x.flatten(), y.flatten(), '-', color=palette[0], linewidth=3)\n", " ax.scatter(x.flatten(), y_sample.flatten(), color=palette[0], alpha=0.8)\n", " ax.set_xlabel('input x')\n", " ax.set_ylabel('output y')\n", " return ax" ] }, { "cell_type": "code", "execution_count": 7, "id": "contained-politics", "metadata": {}, "outputs": [], "source": [ "x, y, y_sample = generate_samples(α_actual, β_actual, σ_actual)" ] }, { "cell_type": "code", "execution_count": 8, "id": "textile-boost", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_line(x, y, y_sample);" ] }, { "cell_type": "code", "execution_count": 9, "id": "narrative-glory", "metadata": {}, "outputs": [], "source": [ "def compute_train_test_split(x, y, test_size):\n", " x_train, x_test, y_train, y_test = train_test_split(x, y, test_size=test_size)\n", " return (\n", " torch.from_numpy(x_train),\n", " torch.from_numpy(x_test),\n", " torch.from_numpy(y_train),\n", " torch.from_numpy(y_test),\n", " )" ] }, { "cell_type": "code", "execution_count": 10, "id": "juvenile-fifty", "metadata": {}, "outputs": [], "source": [ "x_train, x_test, y_train, y_test = compute_train_test_split(x, y_sample, test_size=0.2)" ] }, { "cell_type": "code", "execution_count": 11, "id": "amazing-resolution", "metadata": {}, "outputs": [], "source": [ "# Utility function to print latent sites' quantile information.\n", "def summary(samples):\n", " site_stats = {}\n", " for site_name, values in samples.items():\n", " marginal_site = pd.DataFrame(values)\n", " describe = marginal_site.describe(percentiles=[.05, 0.25, 0.5, 0.75, 0.95]).transpose()\n", " site_stats[site_name] = describe[[\"mean\", \"std\", \"5%\", \"25%\", \"50%\", \"75%\", \"95%\"]]\n", " return site_stats" ] }, { "cell_type": "markdown", "id": "tutorial-trailer", "metadata": {}, "source": [ "## Sample" ] }, { "cell_type": "code", "execution_count": 12, "id": "dominant-spanish", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Sample: 100%|██████████| 4000/4000 [01:25, 46.89it/s, step size=5.40e-01, acc. prob=0.915]\n" ] } ], "source": [ "nuts_kernel = NUTS(linear_model)\n", "\n", "mcmc = MCMC(nuts_kernel, num_samples=2000, warmup_steps=2000)\n", "mcmc.run(x_train, y_train)" ] }, { "cell_type": "code", "execution_count": 13, "id": "stretch-conspiracy", "metadata": {}, "outputs": [], "source": [ "hmc_samples = {k: v.detach().cpu().numpy() for k, v in mcmc.get_samples().items()}" ] }, { "cell_type": "code", "execution_count": 14, "id": "normal-happiness", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "α\n", " mean std 5% 25% 50% 75% 95%\n", "0 2.577201 0.002842 2.57246 2.575314 2.577224 2.579093 2.581918 \n", "\n", "β\n", " mean std 5% 25% 50% 75% 95%\n", "0 3.232284 0.001714 3.229532 3.231135 3.232261 3.233455 3.235203 \n", "\n", "σ\n", " mean std 5% 25% 50% 75% 95%\n", "0 0.693435 0.001267 0.691422 0.692532 0.693427 0.694282 0.695575 \n", "\n" ] } ], "source": [ "res = summary(hmc_samples)\n", "for site, values in res.items():\n", " print(site)\n", " print(values, \"\\n\")" ] }, { "cell_type": "code", "execution_count": 15, "id": "wireless-peripheral", "metadata": {}, "outputs": [], "source": [ "def plot_parameter_distributions(hmc_samples, res):\n", " _, axes = plt.subplots(1, 3, figsize=(18, 6))\n", " axes = axes.flatten()\n", " \n", " for i, (site, _) in enumerate(res.items()):\n", " ax = axes[i]\n", " ax.set_title(f'{site}')\n", " sns.distplot(hmc_samples[site], ax=ax)" ] }, { "cell_type": "code", "execution_count": 16, "id": "cutting-vaccine", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/srom/workspace/distributions/env/lib/python3.7/site-packages/seaborn/distributions.py:2557: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n", " warnings.warn(msg, FutureWarning)\n", "/Users/srom/workspace/distributions/env/lib/python3.7/site-packages/seaborn/distributions.py:2557: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n", " warnings.warn(msg, FutureWarning)\n", "/Users/srom/workspace/distributions/env/lib/python3.7/site-packages/seaborn/distributions.py:2557: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n", " warnings.warn(msg, FutureWarning)\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_parameter_distributions(hmc_samples, res)" ] }, { "cell_type": "markdown", "id": "handmade-suspect", "metadata": {}, "source": [ "## Results" ] }, { "cell_type": "code", "execution_count": 17, "id": "greatest-victim", "metadata": {}, "outputs": [], "source": [ "def compute_rmse(y_actual, y_prediction):\n", " return torch.sqrt(torch.mean((y_actual - y_prediction)**2))" ] }, { "cell_type": "code", "execution_count": 18, "id": "possible-banking", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Actual α = 2.60 | Predicted α = 2.58\n", "Actual β = 3.30 | Predicted β = 3.23\n", "Actual σ = 0.70 | Predicted σ = 0.69\n" ] } ], "source": [ "α_hat = res['α']['mean'].iloc[0]\n", "β_hat = res['β']['mean'].iloc[0]\n", "σ_hat = res['σ']['mean'].iloc[0]\n", "\n", "print(f'Actual α = {α_actual:.2f} | Predicted α = {α_hat:.2f}')\n", "print(f'Actual β = {β_actual:.2f} | Predicted β = {β_hat:.2f}')\n", "print(f'Actual σ = {σ_actual:.2f} | Predicted σ = {σ_hat:.2f}')" ] }, { "cell_type": "code", "execution_count": 19, "id": "former-potato", "metadata": {}, "outputs": [], "source": [ "def predict(a, b, s, x):\n", " return torch.distributions.Normal(a * x + b, s).sample()" ] }, { "cell_type": "code", "execution_count": 20, "id": "voluntary-philadelphia", "metadata": {}, "outputs": [], "source": [ "y_hat = predict(α_hat, β_hat, σ_hat, x_test)" ] }, { "cell_type": "code", "execution_count": 21, "id": "undefined-redhead", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Validation RMSE = 0.8888827354133352\n" ] } ], "source": [ "val_rmse = float(compute_rmse(y_test, y_hat).detach().numpy())\n", "print(f'Validation RMSE = {val_rmse}')" ] }, { "cell_type": "code", "execution_count": 22, "id": "characteristic-toronto", "metadata": {}, "outputs": [], "source": [ "def plot_results(x, y, y_sample, y_pred, y_pred_sample):\n", " f, ax = plt.subplots(1, 1, figsize=(12, 6))\n", " ax.plot(x.flatten(), y.flatten(), '-', color=palette[0], linewidth=2, label='Actual line')\n", " ax.plot(x.flatten(), y_pred.flatten(), '-', color=palette[1], linewidth=2, label='Predicted line')\n", " ax.scatter(x.flatten(), y_sample.flatten(), color=palette[0], label='Actual samples')\n", " ax.scatter(x.flatten(), y_pred_sample.flatten(), color=palette[1], label='Predicted samples')\n", " ax.set_xlabel('input x')\n", " ax.set_ylabel('output y')\n", " ax.legend()\n", " return ax" ] }, { "cell_type": "code", "execution_count": 23, "id": "latin-bidder", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_results(\n", " x_test.detach().numpy(), \n", " α_actual * x_test.detach().numpy() + β_actual, \n", " y_test.detach().numpy(), \n", " α_hat * x_test.detach().numpy() + β_hat, \n", " y_hat.detach().numpy()\n", ");" ] }, { "cell_type": "code", "execution_count": null, "id": "covered-organization", "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": "3.7.9" } }, "nbformat": 4, "nbformat_minor": 5 }