{ "cells": [ { "cell_type": "markdown", "id": "plain-background", "metadata": {}, "source": [ "# Linear Regression - Variational Inference\n", "\n", "Implementation of a linear regression model. Weights are estimated with Stochastic Variable Inference (SVI) using [PyTorch distributions](https://pytorch.org/docs/stable/distributions.html). \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", "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": [ "class LinearNormal(torch.nn.Module):\n", " def __init__(self):\n", " super().__init__()\n", " self.prior = torch.distributions.MultivariateNormal(\n", " torch.zeros((3,)),\n", " torch.Tensor([10, 10, 1]) * torch.eye(3),\n", " )\n", " self.mean = torch.nn.Parameter(torch.randn((3,)))\n", " self.sigma = torch.nn.Parameter(torch.randn((3,)))\n", " \n", " def forward(self, x, sample=True):\n", " σ = torch.log(1 + torch.exp(self.sigma))\n", " dist = torch.distributions.MultivariateNormal(\n", " self.mean,\n", " σ * torch.eye(3),\n", " )\n", " if sample:\n", " alpha, beta, sigma = dist.rsample()\n", " else:\n", " alpha, beta, sigma = dist.mean\n", " \n", " m = alpha * x + beta\n", " s = torch.log(1 + torch.exp(sigma))\n", " y_hat = torch.distributions.Normal(m, s)\n", " kl_divergence = torch.distributions.kl.kl_divergence(dist, self.prior)\n", " return y_hat, kl_divergence" ] }, { "cell_type": "code", "execution_count": 4, "id": "green-appraisal", "metadata": {}, "outputs": [], "source": [ "def compute_loss(model, x, y):\n", " y_hat, kl_divergence = model(x)\n", " return torch.mean(-y_hat.log_prob(y))" ] }, { "cell_type": "code", "execution_count": 5, "id": "prompt-station", "metadata": {}, "outputs": [], "source": [ "def train_one_step(model, optimizer, x_batch, y_batch):\n", " model.train()\n", " optimizer.zero_grad()\n", " loss = compute_loss(model, x_batch, y_batch)\n", " loss.backward()\n", " optimizer.step()\n", " return loss\n", "\n", "def compute_rmse(model, x_test, y_test):\n", " model.eval()\n", " y_hat, _ = model(x_test, sample=False)\n", " pred = y_hat.sample()\n", " return torch.sqrt(torch.mean((pred - y_test)**2))" ] }, { "cell_type": "markdown", "id": "random-nurse", "metadata": {}, "source": [ "## Generate dataset" ] }, { "cell_type": "code", "execution_count": 6, "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": 7, "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": 8, "id": "quick-niger", "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": 9, "id": "constitutional-tsunami", "metadata": {}, "outputs": [], "source": [ "x, y, y_sample = generate_samples(α_actual, β_actual, σ_actual)" ] }, { "cell_type": "code", "execution_count": 10, "id": "danish-interim", "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": "markdown", "id": "regulated-conversion", "metadata": {}, "source": [ "## Fit linear model with variational inference" ] }, { "cell_type": "code", "execution_count": 11, "id": "hired-louisiana", "metadata": {}, "outputs": [], "source": [ "def train(model, optimizer, x_train, x_val, y_train, y_val, n_epochs, batch_size=64, print_every=10):\n", " train_losses, val_losses = [], []\n", " for epoch in range(n_epochs):\n", " batch_indices = sample_batch_indices(x_train, y_train, batch_size)\n", " \n", " batch_losses_t, batch_losses_v, batch_rmse_v = [], [], []\n", " for batch_ix in batch_indices:\n", " b_train_loss = train_one_step(model, optimizer, x_train[batch_ix], y_train[batch_ix])\n", "\n", " model.eval()\n", " b_val_loss = compute_loss(model, x_val, y_val)\n", " b_val_rmse = compute_rmse(model, x_val, y_val)\n", "\n", " batch_losses_t.append(b_train_loss.detach().numpy())\n", " batch_losses_v.append(b_val_loss.detach().numpy())\n", " batch_rmse_v.append(b_val_rmse.detach().numpy())\n", " \n", " train_loss = np.mean(batch_losses_t)\n", " val_loss = np.mean(batch_losses_v)\n", " val_rmse = np.mean(batch_rmse_v)\n", " \n", " train_losses.append(train_loss)\n", " val_losses.append(val_loss)\n", "\n", " if epoch == 0 or (epoch + 1) % print_every == 0:\n", " print(f'Epoch {epoch+1} | Validation loss = {val_loss:.4f} | Validation RMSE = {val_rmse:.4f}')\n", " \n", " _, ax = plt.subplots(1, 1, figsize=(12, 6))\n", " ax.plot(range(1, n_epochs + 1), train_losses, label='Train loss')\n", " ax.plot(range(1, n_epochs + 1), val_losses, label='Validation loss')\n", " ax.set_xlabel('Epoch')\n", " ax.set_ylabel('Loss')\n", " ax.set_title('Training Overview')\n", " ax.legend()\n", " \n", " return train_losses, val_losses\n", "\n", "\n", "def sample_batch_indices(x, y, batch_size, rs=None):\n", " if rs is None:\n", " rs = np.random.RandomState()\n", " \n", " train_ix = np.arange(len(x))\n", " rs.shuffle(train_ix)\n", " \n", " n_batches = int(np.ceil(len(x) / batch_size))\n", " \n", " batch_indices = []\n", " for i in range(n_batches):\n", " start = i + batch_size\n", " end = start + batch_size\n", " batch_indices.append(\n", " train_ix[start:end].tolist()\n", " )\n", "\n", " return batch_indices" ] }, { "cell_type": "code", "execution_count": 12, "id": "intended-profile", "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": 13, "id": "comprehensive-findings", "metadata": {}, "outputs": [], "source": [ "model = LinearNormal()\n", "optimizer = torch.optim.SGD(model.parameters(), lr=5e-2, weight_decay=1e-5)" ] }, { "cell_type": "code", "execution_count": 14, "id": "photographic-afternoon", "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": 15, "id": "widespread-angle", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Epoch 1 | Validation loss = 2.9241 | Validation RMSE = 6.9634\n", "Epoch 100 | Validation loss = 1.8937 | Validation RMSE = 1.8496\n", "Epoch 200 | Validation loss = 1.2464 | Validation RMSE = 1.1442\n", "Epoch 300 | Validation loss = 1.1188 | Validation RMSE = 1.1171\n", "Epoch 400 | Validation loss = 1.1367 | Validation RMSE = 1.0144\n", "Epoch 500 | Validation loss = 1.0793 | Validation RMSE = 1.0365\n", "Epoch 600 | Validation loss = 1.0762 | Validation RMSE = 0.9811\n", "Epoch 700 | Validation loss = 1.0844 | Validation RMSE = 1.0260\n", "Epoch 800 | Validation loss = 1.0596 | Validation RMSE = 0.9475\n", "Epoch 900 | Validation loss = 1.0768 | Validation RMSE = 1.0772\n", "Epoch 1000 | Validation loss = 1.0654 | Validation RMSE = 1.0366\n", "Epoch 1100 | Validation loss = 1.0628 | Validation RMSE = 0.9851\n", "Epoch 1200 | Validation loss = 1.0592 | Validation RMSE = 0.9588\n", "Epoch 1300 | Validation loss = 1.0843 | Validation RMSE = 1.0760\n", "Epoch 1400 | Validation loss = 1.0590 | Validation RMSE = 1.0231\n", "Epoch 1500 | Validation loss = 1.0792 | Validation RMSE = 0.9972\n", "Epoch 1600 | Validation loss = 1.0645 | Validation RMSE = 0.9530\n", "Epoch 1700 | Validation loss = 1.0616 | Validation RMSE = 1.0036\n", "Epoch 1800 | Validation loss = 1.0590 | Validation RMSE = 1.0454\n", "Epoch 1900 | Validation loss = 1.0707 | Validation RMSE = 1.0476\n", "Epoch 2000 | Validation loss = 1.0516 | Validation RMSE = 0.9984\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "train(model, optimizer, x_train, x_test, y_train, y_test, n_epochs=2000, print_every=100);" ] }, { "cell_type": "code", "execution_count": 16, "id": "unlike-blank", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Validation RMSE = 1.0679740982747383\n" ] } ], "source": [ "val_rmse = float(compute_rmse(model, x_test, y_test).detach().numpy())\n", "print(f'Validation RMSE = {val_rmse}')" ] }, { "cell_type": "markdown", "id": "mobile-hypothetical", "metadata": {}, "source": [ "## Plot results" ] }, { "cell_type": "code", "execution_count": 61, "id": "metallic-shepherd", "metadata": {}, "outputs": [], "source": [ "def plot_distributions(model):\n", " _, axes = plt.subplots(1, 3, figsize=(18, 6))\n", " axes = axes.flatten()\n", " \n", " model.eval()\n", " mean = model.mean.detach()\n", " sigma = torch.log(1 + torch.exp(model.sigma)).detach()\n", " \n", " for i, param in enumerate(['α', 'β', 'σ']):\n", " ax = axes[i]\n", " ax.set_title(f'{param}')\n", " \n", " if param == 'σ':\n", " m = torch.log(1 + torch.exp(mean[i]))\n", " else:\n", " m = mean[i]\n", " \n", " s = sigma[i]\n", " dist = torch.distributions.Normal(m, s)\n", " \n", " sns.distplot(dist.sample(torch.Size((2000,))).numpy(), ax=ax)" ] }, { "cell_type": "code", "execution_count": 57, "id": "original-astronomy", "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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_distributions(model)" ] }, { "cell_type": "code", "execution_count": 47, "id": "advance-thanksgiving", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Actual α = 2.60 | Predicted α = 2.57\n", "Actual β = 3.30 | Predicted β = 3.34\n", "Actual σ = 0.70 | Predicted σ = 0.75\n" ] } ], "source": [ "model.eval()\n", "alpha, beta, sigma = model.mean\n", "α_hat = float(alpha)\n", "β_hat = float(beta)\n", "σ_hat = float(torch.log(1 + torch.exp(sigma)))\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": 18, "id": "reserved-sewing", "metadata": {}, "outputs": [], "source": [ "y_hat, _ = model(x_test, sample=False)" ] }, { "cell_type": "code", "execution_count": 19, "id": "blank-christmas", "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": 20, "id": "standing-better", "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.sample().detach().numpy()\n", ");" ] }, { "cell_type": "markdown", "id": "necessary-tattoo", "metadata": {}, "source": [ "## Plot uncertainty" ] }, { "cell_type": "code", "execution_count": 63, "id": "fitting-function", "metadata": {}, "outputs": [], "source": [ "def sample_parameters(model, n_samples=100):\n", " model.eval()\n", " mean = model.mean.detach()\n", " sigma = torch.log(1 + torch.exp(model.sigma)).detach()\n", " \n", " params = np.zeros((n_samples, 3))\n", " for i, param in enumerate(['α', 'β', 'σ']):\n", " if param == 'σ':\n", " m = torch.log(1 + torch.exp(mean[i]))\n", " else:\n", " m = mean[i]\n", " \n", " s = sigma[i]\n", " dist = torch.distributions.Normal(m, s)\n", " \n", " params[:,i] = dist.sample(torch.Size((n_samples,))).detach().numpy().flatten()\n", " \n", " return params" ] }, { "cell_type": "code", "execution_count": 83, "id": "temporal-script", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1000, 3)" ] }, "execution_count": 83, "metadata": {}, "output_type": "execute_result" } ], "source": [ "params = sample_parameters(model, n_samples=1000)\n", "params.shape" ] }, { "cell_type": "code", "execution_count": 109, "id": "charitable-annual", "metadata": {}, "outputs": [], "source": [ "def make_predictions(params, x):\n", " std_aleatoric = np.mean(params[:,2])\n", " \n", " lines = np.zeros((len(x), len(params)))\n", " \n", " for sample_number in range(len(params)):\n", " lines[:,sample_number] = (params[sample_number, 0] * x + params[sample_number,1]).flatten()\n", " \n", " predictions = np.mean(lines, axis=1)\n", " std_epistemic = np.std(lines, axis=1)\n", " \n", " std = std_epistemic + std_aleatoric\n", " \n", " return predictions, std" ] }, { "cell_type": "code", "execution_count": 123, "id": "familiar-terrorism", "metadata": {}, "outputs": [], "source": [ "def plot_uncertainty(x, y, y_pred, y_err):\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.fill_between(\n", " x.flatten(),\n", " y_pred.flatten() + 2 * y_err,\n", " y_pred.flatten() - 2 * y_err,\n", " color=palette[1],\n", " alpha=0.3,\n", " )\n", " ax.set_xlabel('input x')\n", " ax.set_ylabel('output y')\n", " ax.legend()\n", " return ax" ] }, { "cell_type": "code", "execution_count": 128, "id": "aboriginal-battle", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "58.40133088282731\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "min_ = 10000\n", "max_ = min_ + 1000\n", "x_new, y_new, _ = generate_samples(α_actual, β_actual, σ_actual, min_x=min_, max_x=max_)\n", "predictions, std = make_predictions(params, x_new)\n", "\n", "print(np.mean(std))\n", "\n", "plot_uncertainty(x_new, y_new, predictions, std);" ] }, { "cell_type": "code", "execution_count": 129, "id": "threaded-azerbaijan", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "552.5717687488561\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "min_ = 100000\n", "max_ = min_ + 1000\n", "x_new, y_new, _ = generate_samples(α_actual, β_actual, σ_actual, min_x=min_, max_x=max_)\n", "predictions, std = make_predictions(params, x_new)\n", "\n", "print(np.mean(std))\n", "\n", "plot_uncertainty(x_new, y_new, predictions, std);" ] }, { "cell_type": "code", "execution_count": null, "id": "broadband-eugene", "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 }