From cd67f4e8124d8f3f78a9cc8ede4a83cd7b35a0da Mon Sep 17 00:00:00 2001 From: "copilot-swe-agent[bot]" <198982749+Copilot@users.noreply.github.com> Date: Sun, 19 Apr 2026 01:42:57 +0000 Subject: [PATCH] Improve horseshoe demo notebook, fix visualization bug, update env requirements Agent-Logs-Url: https://github.com/MacroMagic/bayesian_feature_selection/sessions/e481922c-8872-4ba6-bd1e-7164d0cf9bb3 Co-authored-by: MacroMagic <162652138+MacroMagic@users.noreply.github.com> --- README.rst | 36 + ...orseshoe_mcmc_feature_selection_demo.ipynb | 1244 ++++++++++++++++- pyproject.toml | 9 +- .../visualization.py | 15 +- 4 files changed, 1267 insertions(+), 37 deletions(-) diff --git a/README.rst b/README.rst index 3648364..de8894b 100644 --- a/README.rst +++ b/README.rst @@ -88,6 +88,42 @@ For development: $ pip install -e ".[dev]" +Environment Setup (Python 3.12 + CUDA 12) +------------------------------------------ + +**Python 3.12 (CPU only)** + +.. code-block:: console + + $ pip install bayesian_feature_selection + +This installs JAX ≥ 0.7.0 and NumPyro ≥ 0.15.0 automatically. + +**Python 3.12 + CUDA 12 (GPU)** + +Install the package, then upgrade JAX with the CUDA 12 backend: + +.. code-block:: console + + $ pip install bayesian_feature_selection + $ pip install "jax[cuda12]" + +Verify the setup: + +.. code-block:: python + + import jax + print(jax.devices()) # should show CudaDevice(id=0) when GPU is available + +**Important version notes** + +* NumPyro ≥ 0.15.0 requires JAX ≥ 0.7.0. +* JAX ≥ 0.10.0 removed internal symbols that NumPyro ≤ 0.20.1 depends on; + use JAX 0.7.x – 0.9.x until NumPyro releases a compatible update. +* The ``gpu`` extra (``pip install bayesian_feature_selection[gpu]``) installs + ``jax[cuda12]`` and is the recommended way to enable GPU support. + + Credits ------- diff --git a/demo/horseshoe_mcmc_feature_selection_demo.ipynb b/demo/horseshoe_mcmc_feature_selection_demo.ipynb index cb4975b..4a6f2b3 100644 --- a/demo/horseshoe_mcmc_feature_selection_demo.ipynb +++ b/demo/horseshoe_mcmc_feature_selection_demo.ipynb @@ -55,10 +55,25 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "id": "5353239c", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-19T01:38:58.129884Z", + "iopub.status.busy": "2026-04-19T01:38:58.129726Z", + "iopub.status.idle": "2026-04-19T01:39:00.094565Z", + "shell.execute_reply": "2026-04-19T01:39:00.093647Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "JAX devices: [CpuDevice(id=0)]\n" + ] + } + ], "source": [ "import warnings\n", "warnings.filterwarnings('ignore', category=FutureWarning)\n", @@ -80,6 +95,118 @@ "print('JAX devices:', jax.devices())\n" ] }, + { + "cell_type": "markdown", + "id": "md_046dee55", + "metadata": {}, + "source": [ + "## 1b) Visualizing the horseshoe prior shape\n", + "\n", + "Before we run inference, it helps to *see* what the horseshoe prior actually looks like. A key property is that the marginal prior on each coefficient β_j is **bimodal-ish**: it has a very sharp spike at zero (encouraging sparsity) and heavy tails (allowing large effects to survive).\n", + "\n", + "Compare it to a standard Gaussian and a Laplace (double-exponential) prior at the same scale. The horseshoe's heavier tails mean it imposes **less bias on true signals** than the Lasso (Laplace) while still driving noise to zero." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "code_05d789c5", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-19T01:39:00.096497Z", + "iopub.status.busy": "2026-04-19T01:39:00.096176Z", + "iopub.status.idle": "2026-04-19T01:39:01.299183Z", + "shell.execute_reply": "2026-04-19T01:39:01.298196Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Key takeaways:\n", + " • Horseshoe has the tallest spike near zero → strongest sparsity pressure\n", + " • Horseshoe has the heaviest tails → large true signals suffer less shrinkage bias\n", + " • Laplace (Lasso) is a compromise but shrinks large signals more than horseshoe\n" + ] + } + ], + "source": [ + "# ── Horseshoe marginal prior vs Gaussian vs Laplace ──────────────────────────\n", + "# We draw Monte-Carlo samples from the horseshoe hierarchy to approximate\n", + "# the marginal distribution of a single beta_j.\n", + "\n", + "rng_prior = np.random.default_rng(0)\n", + "n_prior = 200_000\n", + "\n", + "tau_prior = np.abs(rng_prior.standard_cauchy(n_prior)) # Half-Cauchy(1)\n", + "lam_prior = np.abs(rng_prior.standard_cauchy(n_prior)) # Half-Cauchy(1)\n", + "c2_prior = 1.0 / rng_prior.gamma(1.0, 1.0, n_prior) # InverseGamma(1,1)\n", + "lam_tilde = np.sqrt(c2_prior * lam_prior**2 /\n", + " (c2_prior + tau_prior**2 * lam_prior**2))\n", + "sigma_j = tau_prior * lam_tilde\n", + "beta_hs = rng_prior.normal(0, sigma_j)\n", + "\n", + "# Reference priors at similar scale\n", + "sigma_ref = float(np.std(beta_hs)) # match std so comparison is fair\n", + "beta_gauss = rng_prior.normal(0, sigma_ref, n_prior)\n", + "beta_laplace = rng_prior.laplace(0, sigma_ref / np.sqrt(2), n_prior)\n", + "\n", + "clip = 4.0\n", + "fig, axes = plt.subplots(1, 2, figsize=(13, 4))\n", + "\n", + "# — density on a broad range —\n", + "ax = axes[0]\n", + "for samples, label, color in [\n", + " (beta_hs, \"Horseshoe (marginal)\", \"steelblue\"),\n", + " (beta_gauss, f\"Gaussian(0, {sigma_ref:.2f})\", \"tomato\"),\n", + " (beta_laplace, \"Laplace (same std)\", \"seagreen\"),\n", + "]:\n", + " clipped = samples[np.abs(samples) < clip]\n", + " ax.hist(clipped, bins=200, density=True, alpha=0.5, label=label, color=color)\n", + "ax.set_xlim(-clip, clip)\n", + "ax.set_xlabel(r\"$\\beta_j$\")\n", + "ax.set_ylabel(\"Density\")\n", + "ax.set_title(\"Marginal prior on a coefficient (broad view)\")\n", + "ax.legend(fontsize=9)\n", + "ax.grid(alpha=0.3)\n", + "\n", + "# — zoom in on the spike near zero —\n", + "ax2 = axes[1]\n", + "zoom = 0.5\n", + "for samples, label, color in [\n", + " (beta_hs, \"Horseshoe\", \"steelblue\"),\n", + " (beta_gauss, \"Gaussian\", \"tomato\"),\n", + " (beta_laplace, \"Laplace\", \"seagreen\"),\n", + "]:\n", + " clipped = samples[np.abs(samples) < zoom]\n", + " ax2.hist(clipped, bins=100, density=True, alpha=0.5, label=label, color=color)\n", + "ax2.set_xlim(-zoom, zoom)\n", + "ax2.set_xlabel(r\"$\\beta_j$\")\n", + "ax2.set_title(\"Near-zero spike (zoomed view)\")\n", + "ax2.legend(fontsize=9)\n", + "ax2.grid(alpha=0.3)\n", + "\n", + "plt.suptitle(\"Horseshoe prior: spike at zero + heavy tails\", fontsize=12)\n", + "plt.tight_layout()\n", + "plt.show()\n", + "\n", + "print(\"Key takeaways:\")\n", + "print(\" • Horseshoe has the tallest spike near zero → strongest sparsity pressure\")\n", + "print(\" • Horseshoe has the heaviest tails → large true signals suffer less shrinkage bias\")\n", + "print(\" • Laplace (Lasso) is a compromise but shrinks large signals more than horseshoe\")" + ] + }, { "cell_type": "markdown", "id": "93bfecd0", @@ -92,10 +219,35 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "id": "0052282d", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-19T01:39:01.300892Z", + "iopub.status.busy": "2026-04-19T01:39:01.300730Z", + "iopub.status.idle": "2026-04-19T01:39:01.395663Z", + "shell.execute_reply": "2026-04-19T01:39:01.394819Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "n=220, p=60, true non-zero features=6\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# Simulated data with sparse truth\n", "n, p = 220, 60\n", @@ -123,6 +275,70 @@ "plt.show()\n" ] }, + { + "cell_type": "markdown", + "id": "md_01f70cb3", + "metadata": {}, + "source": [ + "### Signal-to-noise ratio\n", + "\n", + "Before fitting, it's useful to quantify how easy/hard the problem is. The **signal-to-noise ratio (SNR)** measures how large the true signal is relative to the noise variance. Higher SNR → easier recovery." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "code_03d2f3b1", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-19T01:39:01.397395Z", + "iopub.status.busy": "2026-04-19T01:39:01.397205Z", + "iopub.status.idle": "2026-04-19T01:39:01.530472Z", + "shell.execute_reply": "2026-04-19T01:39:01.529661Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Signal variance : 19.803\n", + "Noise variance : 1.000\n", + "SNR : 19.80 (>1 means signal > noise)\n" + ] + }, + { + "data": { + "image/png": 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feature_idxbeta_meanbeta_lower_95beta_upper_95beta_inclusion_probselected
002.8574192.7279722.9870061.000True
13-2.210173-2.331821-2.0732461.000True
271.8653181.7350312.0101391.000True
313-1.605179-1.751578-1.4701161.000True
4271.2615901.1302461.4024291.000True
5420.7712320.6524990.8910451.000True
61-0.051850-0.1919300.0204270.765True
7330.066257-0.0156940.2177900.743True
841-0.042172-0.1722600.0316710.717True
9490.033445-0.0294800.1616480.714True
10120.020560-0.0715810.1481560.683True
1140-0.028049-0.1456600.0385540.673True
\n", + "
" + ], + "text/plain": [ + " feature_idx beta_mean beta_lower_95 beta_upper_95 beta_inclusion_prob \\\n", + "0 0 2.857419 2.727972 2.987006 1.000 \n", + "1 3 -2.210173 -2.331821 -2.073246 1.000 \n", + "2 7 1.865318 1.735031 2.010139 1.000 \n", + "3 13 -1.605179 -1.751578 -1.470116 1.000 \n", + "4 27 1.261590 1.130246 1.402429 1.000 \n", + "5 42 0.771232 0.652499 0.891045 1.000 \n", + "6 1 -0.051850 -0.191930 0.020427 0.765 \n", + "7 33 0.066257 -0.015694 0.217790 0.743 \n", + "8 41 -0.042172 -0.172260 0.031671 0.717 \n", + "9 49 0.033445 -0.029480 0.161648 0.714 \n", + "10 12 0.020560 -0.071581 0.148156 0.683 \n", + "11 40 -0.028049 -0.145660 0.038554 0.673 \n", + "\n", + " selected \n", + "0 True \n", + "1 True \n", + "2 True \n", + "3 True \n", + "4 True \n", + "5 True \n", + "6 True \n", + "7 True \n", + "8 True \n", + "9 True \n", + "10 True \n", + "11 True " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "importance = model.get_feature_importance(method='beta', threshold=0.5)\n", "importance = importance.sort_values('beta_inclusion_prob', ascending=False).reset_index(drop=True)\n", @@ -205,10 +643,28 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "id": "0d767a30", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-19T01:39:17.041263Z", + "iopub.status.busy": "2026-04-19T01:39:17.041092Z", + "iopub.status.idle": "2026-04-19T01:39:17.292666Z", + "shell.execute_reply": "2026-04-19T01:39:17.291821Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# Visual comparison: posterior mean vs truth\n", "posterior_mean = np.zeros(p)\n", @@ -226,6 +682,76 @@ "plt.show()\n" ] }, + { + "cell_type": "markdown", + "id": "md_01c47557", + "metadata": {}, + "source": [ + "### Credible-interval forest plot\n", + "\n", + "A **forest plot** (coefficient plot with 94 % credible intervals) is the standard Bayesian way to show both *point estimates* and *uncertainty* for all coefficients simultaneously. Features whose interval excludes zero are strong candidates for selection." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "code_04f87bd4", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-19T01:39:17.294433Z", + "iopub.status.busy": "2026-04-19T01:39:17.294266Z", + "iopub.status.idle": "2026-04-19T01:39:17.677865Z", + "shell.execute_reply": "2026-04-19T01:39:17.676924Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# ── Forest plot: posterior 94% credible intervals ────────────────────────────\n", + "# We show all features, coloring true signals gold and noise features grey.\n", + "# A vertical line at zero helps read whether the CI excludes zero.\n", + "\n", + "post_samples = model.mcmc.get_samples()[\"beta\"] # shape (draws, p)\n", + "post_mean = np.array(post_samples.mean(axis=0))\n", + "post_lo = np.array(np.percentile(post_samples, 3, axis=0))\n", + "post_hi = np.array(np.percentile(post_samples, 97, axis=0))\n", + "\n", + "# Sort by |posterior mean| for readability\n", + "order = np.argsort(np.abs(post_mean))[::-1]\n", + "\n", + "fig, ax = plt.subplots(figsize=(10, max(5, int(p * 0.25))))\n", + "y_pos_all = np.arange(p)\n", + "\n", + "for rank, idx in enumerate(order):\n", + " is_signal = idx in signal_idx\n", + " color = \"goldenrod\" if is_signal else \"steelblue\"\n", + " marker = \"D\" if is_signal else \"o\"\n", + " alpha = 1.0 if is_signal else 0.55\n", + " ax.plot(post_mean[idx], rank, marker=marker, color=color, ms=5, alpha=alpha, zorder=3)\n", + " ax.plot([post_lo[idx], post_hi[idx]], [rank, rank],\n", + " color=color, lw=1.5, alpha=alpha * 0.8)\n", + "\n", + "ax.axvline(0, color=\"black\", lw=1, ls=\"--\")\n", + "ax.set_yticks(range(p))\n", + "ax.set_yticklabels([f\"X{order[r]}\" + (\" ★\" if order[r] in signal_idx else \"\")\n", + " for r in range(p)], fontsize=7)\n", + "ax.set_xlabel(\"Posterior mean (94 % CI)\")\n", + "ax.set_title(\"Forest plot of all coefficients\\n(★ = true signal, gold = signal, blue = noise)\")\n", + "ax.grid(axis=\"x\", alpha=0.3)\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, { "cell_type": "markdown", "id": "aa46a47a", @@ -238,10 +764,135 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "id": "a71b8815", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-19T01:39:17.679586Z", + "iopub.status.busy": "2026-04-19T01:39:17.679416Z", + "iopub.status.idle": "2026-04-19T01:39:19.452745Z", + "shell.execute_reply": "2026-04-19T01:39:19.451905Z" + } + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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meansdeti89_lbeti89_ubess_bulkess_tailr_hatmcse_meanmcse_sd
tau0.0330.0130.0180.05565621.030.00130.0013
c2144e+012.1363343011.011.814
beta[0]2.8570.0672.834382841.010.0030.0024
beta[1]-0.0520.059-0.170.00994544281.020.0030.0024
beta[2]-0.0240.043-0.110.0233402861.010.00270.0027
\n", + "
" + ], + "text/plain": [ + " mean sd eti89_lb eti89_ub ess_bulk ess_tail r_hat mcse_mean \\\n", + "tau 0.033 0.013 0.018 0.055 65 62 1.03 0.0013 \n", + "c2 14 4e+01 2.1 36 334 301 1.01 1.8 \n", + "beta[0] 2.857 0.067 2.8 3 438 284 1.01 0.003 \n", + "beta[1] -0.052 0.059 -0.17 0.0099 454 428 1.02 0.003 \n", + "beta[2] -0.024 0.043 -0.11 0.023 340 286 1.01 0.0027 \n", + "\n", + " mcse_sd \n", + "tau 0.0013 \n", + "c2 14 \n", + "beta[0] 0.0024 \n", + "beta[1] 0.0024 \n", + "beta[2] 0.0027 " + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "idata = az.from_numpyro(model.mcmc)\n", "\n", @@ -252,10 +903,27 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "id": "65fb3a31", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-19T01:39:19.454511Z", + "iopub.status.busy": "2026-04-19T01:39:19.454330Z", + "iopub.status.idle": "2026-04-19T01:39:19.459231Z", + "shell.execute_reply": "2026-04-19T01:39:19.458496Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "max R-hat: 1.0700\n", + "min ESS (bulk): 46.0\n", + "Convergence guideline: R-hat near 1.00 and reasonably large ESS.\n" + ] + } + ], "source": [ "# Basic convergence checks\n", "rhat_vals = pd.to_numeric(summary['r_hat'], errors='coerce').dropna()\n", @@ -269,12 +937,127 @@ "print('Convergence guideline: R-hat near 1.00 and reasonably large ESS.')\n" ] }, + { + "cell_type": "markdown", + "id": "md_00f1cbde", + "metadata": {}, + "source": [ + "### What do R-hat and ESS mean?\n", + "\n", + "| Statistic | Formula | What it measures | Good value |\n", + "|-----------|---------|-----------------|------------|\n", + "| **R-hat** (Gelman-Rubin) | Ratio of between-chain to within-chain variance | Whether chains have mixed (converged) | ≈ 1.00 (< 1.01 is excellent, < 1.05 acceptable) |\n", + "| **ESS bulk** | Effective Sample Size for the bulk of the distribution | How many *independent* draws the chain is worth for estimating the mean | > 400 (> 100 per chain) |\n", + "| **ESS tail** | ESS for quantile estimates (5th/95th percentile) | How well the tails are explored | > 400 |\n", + "\n", + "**If R-hat > 1.05**: run more warmup or increase `num_chains`. \n", + "**If ESS < 100**: increase `num_samples` or use a more efficient sampler.\n", + "\n", + "The cell below plots a *histogram of R-hat values* across all β parameters — a quick health-check for high-dimensional models." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "code_03f3f25d", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-19T01:39:19.460922Z", + "iopub.status.busy": "2026-04-19T01:39:19.460761Z", + "iopub.status.idle": "2026-04-19T01:39:19.607493Z", + "shell.execute_reply": "2026-04-19T01:39:19.606660Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "β parameters with R-hat > 1.05: 4 / 60\n", + " → Consider increasing num_warmup or num_samples for better convergence.\n" + ] + } + ], + "source": [ + "# ── R-hat histogram for all β parameters ─────────────────────────────────────\n", + "beta_rhat = summary.loc[\n", + " summary.index.str.startswith(\"beta\"), \"r_hat\"\n", + "].astype(float)\n", + "\n", + "fig, ax = plt.subplots(figsize=(7, 3.5))\n", + "ax.hist(beta_rhat.dropna(), bins=20, edgecolor=\"white\",\n", + " color=\"steelblue\", alpha=0.8)\n", + "ax.axvline(1.01, color=\"green\", ls=\"--\", lw=1.5, label=\"R-hat = 1.01 (excellent)\")\n", + "ax.axvline(1.05, color=\"orange\", ls=\"--\", lw=1.5, label=\"R-hat = 1.05 (acceptable)\")\n", + "ax.axvline(1.10, color=\"red\", ls=\"--\", lw=1.5, label=\"R-hat = 1.10 (problematic)\")\n", + "ax.set_xlabel(\"R-hat\")\n", + "ax.set_ylabel(\"Count of β parameters\")\n", + "ax.set_title(\"Convergence health-check: R-hat distribution across all β\")\n", + "ax.legend(fontsize=9)\n", + "ax.grid(alpha=0.3)\n", + "plt.tight_layout()\n", + "plt.show()\n", + "\n", + "n_bad = (beta_rhat > 1.05).sum()\n", + "print(f\"β parameters with R-hat > 1.05: {n_bad} / {len(beta_rhat)}\")\n", + "if n_bad > 0:\n", + " print(\" → Consider increasing num_warmup or num_samples for better convergence.\")" + ] + }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "id": "589ca7d4", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-19T01:39:19.609417Z", + "iopub.status.busy": "2026-04-19T01:39:19.609249Z", + "iopub.status.idle": "2026-04-19T01:39:20.812848Z", + "shell.execute_reply": "2026-04-19T01:39:20.812137Z" + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/runner/.local/lib/python3.12/site-packages/xarray/core/duck_array_ops.py:269: UserWarning: Explicitly requested dtype int64 requested in astype is not available, and will be truncated to dtype int32. To enable more dtypes, set the jax_enable_x64 configuration option or the JAX_ENABLE_X64 shell environment variable. See https://github.com/jax-ml/jax#current-gotchas for more.\n", + " return xp.astype(data, dtype, **kwargs)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/runner/.local/lib/python3.12/site-packages/xarray/core/duck_array_ops.py:269: UserWarning: Explicitly requested dtype int64 requested in astype is not available, and will be truncated to dtype int32. To enable more dtypes, set the jax_enable_x64 configuration option or the JAX_ENABLE_X64 shell environment variable. See https://github.com/jax-ml/jax#current-gotchas for more.\n", + " return xp.astype(data, dtype, **kwargs)\n", + "/home/runner/.local/lib/python3.12/site-packages/xarray/core/duck_array_ops.py:269: UserWarning: Explicitly requested dtype int64 requested in astype is not available, and will be truncated to dtype int32. To enable more dtypes, set the jax_enable_x64 configuration option or the JAX_ENABLE_X64 shell environment variable. See https://github.com/jax-ml/jax#current-gotchas for more.\n", + " return xp.astype(data, dtype, **kwargs)\n", + "/home/runner/.local/lib/python3.12/site-packages/xarray/core/duck_array_ops.py:269: UserWarning: Explicitly requested dtype int64 requested in astype is not available, and will be truncated to dtype int32. To enable more dtypes, set the jax_enable_x64 configuration option or the JAX_ENABLE_X64 shell environment variable. See https://github.com/jax-ml/jax#current-gotchas for more.\n", + " return xp.astype(data, dtype, **kwargs)\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# Trace plot for global parameters\n", "az.plot_trace(idata, var_names=['tau', 'c2'])\n", @@ -284,10 +1067,66 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "id": "de46ceae", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-19T01:39:20.814890Z", + "iopub.status.busy": "2026-04-19T01:39:20.814714Z", + "iopub.status.idle": "2026-04-19T01:39:21.566415Z", + "shell.execute_reply": "2026-04-19T01:39:21.565360Z" + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/runner/.local/lib/python3.12/site-packages/xarray/core/duck_array_ops.py:269: UserWarning: Explicitly requested dtype int64 requested in astype is not available, and will be truncated to dtype int32. To enable more dtypes, set the jax_enable_x64 configuration option or the JAX_ENABLE_X64 shell environment variable. See https://github.com/jax-ml/jax#current-gotchas for more.\n", + " return xp.astype(data, dtype, **kwargs)\n", + "/home/runner/.local/lib/python3.12/site-packages/xarray/core/duck_array_ops.py:269: UserWarning: Explicitly requested dtype int64 requested in astype is not available, and will be truncated to dtype int32. To enable more dtypes, set the jax_enable_x64 configuration option or the JAX_ENABLE_X64 shell environment variable. See https://github.com/jax-ml/jax#current-gotchas for more.\n", + " return xp.astype(data, dtype, **kwargs)\n", + "/home/runner/.local/lib/python3.12/site-packages/xarray/core/duck_array_ops.py:269: UserWarning: Explicitly requested dtype int64 requested in astype is not available, and will be truncated to dtype int32. To enable more dtypes, set the jax_enable_x64 configuration option or the JAX_ENABLE_X64 shell environment variable. See https://github.com/jax-ml/jax#current-gotchas for more.\n", + " return xp.astype(data, dtype, **kwargs)\n", + "/home/runner/.local/lib/python3.12/site-packages/xarray/core/duck_array_ops.py:269: UserWarning: Explicitly requested dtype int64 requested in astype is not available, and will be truncated to dtype int32. To enable more dtypes, set the jax_enable_x64 configuration option or the JAX_ENABLE_X64 shell environment variable. See https://github.com/jax-ml/jax#current-gotchas for more.\n", + " return xp.astype(data, dtype, **kwargs)\n", + "/home/runner/.local/lib/python3.12/site-packages/xarray/core/duck_array_ops.py:269: UserWarning: Explicitly requested dtype int64 requested in astype is not available, and will be truncated to dtype int32. To enable more dtypes, set the jax_enable_x64 configuration option or the JAX_ENABLE_X64 shell environment variable. See https://github.com/jax-ml/jax#current-gotchas for more.\n", + " return xp.astype(data, dtype, **kwargs)\n", + "/home/runner/.local/lib/python3.12/site-packages/xarray/core/duck_array_ops.py:269: UserWarning: Explicitly requested dtype int64 requested in astype is not available, and will be truncated to dtype int32. To enable more dtypes, set the jax_enable_x64 configuration option or the JAX_ENABLE_X64 shell environment variable. See https://github.com/jax-ml/jax#current-gotchas for more.\n", + " return xp.astype(data, dtype, **kwargs)\n", + "/home/runner/.local/lib/python3.12/site-packages/xarray/core/duck_array_ops.py:269: UserWarning: Explicitly requested dtype int64 requested in astype is not available, and will be truncated to dtype int32. To enable more dtypes, set the jax_enable_x64 configuration option or the JAX_ENABLE_X64 shell environment variable. See https://github.com/jax-ml/jax#current-gotchas for more.\n", + " return xp.astype(data, dtype, **kwargs)\n", + "/home/runner/.local/lib/python3.12/site-packages/xarray/core/duck_array_ops.py:269: UserWarning: Explicitly requested dtype int64 requested in astype is not available, and will be truncated to dtype int32. To enable more dtypes, set the jax_enable_x64 configuration option or the JAX_ENABLE_X64 shell environment variable. See https://github.com/jax-ml/jax#current-gotchas for more.\n", + " return xp.astype(data, dtype, **kwargs)\n", + "/home/runner/.local/lib/python3.12/site-packages/xarray/core/duck_array_ops.py:269: UserWarning: Explicitly requested dtype int64 requested in astype is not available, and will be truncated to dtype int32. To enable more dtypes, set the jax_enable_x64 configuration option or the JAX_ENABLE_X64 shell environment variable. See https://github.com/jax-ml/jax#current-gotchas for more.\n", + " return xp.astype(data, dtype, **kwargs)\n", + "/home/runner/.local/lib/python3.12/site-packages/xarray/core/duck_array_ops.py:269: UserWarning: Explicitly requested dtype int64 requested in astype is not available, and will be truncated to dtype int32. To enable more dtypes, set the jax_enable_x64 configuration option or the JAX_ENABLE_X64 shell environment variable. See https://github.com/jax-ml/jax#current-gotchas for more.\n", + " return xp.astype(data, dtype, **kwargs)\n", + "/home/runner/.local/lib/python3.12/site-packages/xarray/core/duck_array_ops.py:269: UserWarning: Explicitly requested dtype int64 requested in astype is not available, and will be truncated to dtype int32. To enable more dtypes, set the jax_enable_x64 configuration option or the JAX_ENABLE_X64 shell environment variable. See https://github.com/jax-ml/jax#current-gotchas for more.\n", + " return xp.astype(data, dtype, **kwargs)\n", + "/home/runner/.local/lib/python3.12/site-packages/xarray/core/duck_array_ops.py:269: UserWarning: Explicitly requested dtype int64 requested in astype is not available, and will be truncated to dtype int32. To enable more dtypes, set the jax_enable_x64 configuration option or the JAX_ENABLE_X64 shell environment variable. See https://github.com/jax-ml/jax#current-gotchas for more.\n", + " return xp.astype(data, dtype, **kwargs)\n", + "/home/runner/.local/lib/python3.12/site-packages/xarray/core/duck_array_ops.py:269: UserWarning: Explicitly requested dtype int64 requested in astype is not available, and will be truncated to dtype int32. To enable more dtypes, set the jax_enable_x64 configuration option or the JAX_ENABLE_X64 shell environment variable. See https://github.com/jax-ml/jax#current-gotchas for more.\n", + " return xp.astype(data, dtype, **kwargs)\n", + "/home/runner/.local/lib/python3.12/site-packages/xarray/core/duck_array_ops.py:269: UserWarning: Explicitly requested dtype int64 requested in astype is not available, and will be truncated to dtype int32. To enable more dtypes, set the jax_enable_x64 configuration option or the JAX_ENABLE_X64 shell environment variable. See https://github.com/jax-ml/jax#current-gotchas for more.\n", + " return xp.astype(data, dtype, **kwargs)\n", + "/home/runner/.local/lib/python3.12/site-packages/xarray/core/duck_array_ops.py:269: UserWarning: Explicitly requested dtype int64 requested in astype is not available, and will be truncated to dtype int32. To enable more dtypes, set the jax_enable_x64 configuration option or the JAX_ENABLE_X64 shell environment variable. See https://github.com/jax-ml/jax#current-gotchas for more.\n", + " return xp.astype(data, dtype, **kwargs)\n", + "/home/runner/.local/lib/python3.12/site-packages/xarray/core/duck_array_ops.py:269: UserWarning: Explicitly requested dtype int64 requested in astype is not available, and will be truncated to dtype int32. To enable more dtypes, set the jax_enable_x64 configuration option or the JAX_ENABLE_X64 shell environment variable. See https://github.com/jax-ml/jax#current-gotchas for more.\n", + " return xp.astype(data, dtype, **kwargs)\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# Beta visualization with ArviZ for top features by inclusion probability\n", "beta_dims = [d for d in idata.posterior['beta'].dims if d not in ('chain', 'draw')]\n", @@ -311,6 +1150,103 @@ "plt.show()\n" ] }, + { + "cell_type": "markdown", + "id": "md_0416b762", + "metadata": {}, + "source": [ + "## 5b) Shrinkage factor visualization\n", + "\n", + "The **shrinkage factor** κ_j = 1 / (1 + τ² λ_j²) tells us how much each coefficient is pulled toward zero:\n", + "\n", + "- κ_j ≈ 1 → strong shrinkage (noisy feature → stays near zero) \n", + "- κ_j ≈ 0 → weak shrinkage (informative feature → free to be large)\n", + "\n", + "After fitting, we can read the posterior distribution of κ_j for each feature. True signals should cluster near 0; noise features should cluster near 1." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "code_03ab85b4", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-19T01:39:21.568145Z", + "iopub.status.busy": "2026-04-19T01:39:21.567977Z", + "iopub.status.idle": "2026-04-19T01:39:21.861565Z", + "shell.execute_reply": "2026-04-19T01:39:21.860698Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Shrinkage factor summary:\n", + " True signals — mean κ: 0.304 (want < 0.5)\n", + " Noise features — mean κ: 0.992 (want > 0.5)\n" + ] + } + ], + "source": [ + "# ── Posterior shrinkage factor κ_j for all features ──────────────────────────\n", + "samples = model.mcmc.get_samples()\n", + "tau_samp = np.array(samples[\"tau\"]) # shape (draws,)\n", + "lam_samp = np.array(samples[\"lambda_local\"]) # shape (draws, p)\n", + "\n", + "# κ_j = 1 / (1 + τ² λ_j²) — posterior mean per feature\n", + "kappa_samp = 1.0 / (1.0 + tau_samp[:, None]**2 * lam_samp**2)\n", + "kappa_mean = kappa_samp.mean(axis=0) # shape (p,)\n", + "\n", + "is_signal_mask = np.isin(np.arange(p), signal_idx)\n", + "\n", + "fig, axes = plt.subplots(1, 2, figsize=(13, 4))\n", + "\n", + "# — scatter: kappa vs feature index —\n", + "ax = axes[0]\n", + "ax.scatter(np.where( is_signal_mask)[0], kappa_mean[ is_signal_mask],\n", + " color=\"goldenrod\", s=80, zorder=3, label=\"True signal\")\n", + "ax.scatter(np.where(~is_signal_mask)[0], kappa_mean[~is_signal_mask],\n", + " color=\"steelblue\", s=30, alpha=0.5, label=\"Noise\")\n", + "ax.axhline(0.5, color=\"grey\", ls=\"--\", lw=1, label=\"κ = 0.5 (boundary)\")\n", + "ax.set_xlabel(\"Feature index\")\n", + "ax.set_ylabel(r\"Posterior mean $\\kappa_j$\")\n", + "ax.set_title(r\"Shrinkage factor $\\kappa_j$: signals near 0, noise near 1\")\n", + "ax.legend(fontsize=9)\n", + "ax.set_ylim(-0.05, 1.05)\n", + "ax.grid(alpha=0.3)\n", + "\n", + "# — histogram split: signals vs noise —\n", + "ax2 = axes[1]\n", + "ax2.hist(kappa_mean[ is_signal_mask], bins=20, density=True,\n", + " color=\"goldenrod\", alpha=0.7, label=\"True signal features\")\n", + "ax2.hist(kappa_mean[~is_signal_mask], bins=20, density=True,\n", + " color=\"steelblue\", alpha=0.5, label=\"Noise features\")\n", + "ax2.set_xlabel(r\"Posterior mean $\\kappa_j$\")\n", + "ax2.set_ylabel(\"Density\")\n", + "ax2.set_title(\"Distribution of shrinkage factor by feature type\")\n", + "ax2.legend(fontsize=9)\n", + "ax2.grid(alpha=0.3)\n", + "\n", + "plt.suptitle(\"Horseshoe shrinkage mechanism post-inference\", fontsize=12)\n", + "plt.tight_layout()\n", + "plt.show()\n", + "\n", + "print(\"Shrinkage factor summary:\")\n", + "print(f\" True signals — mean κ: {kappa_mean[is_signal_mask].mean():.3f} (want < 0.5)\")\n", + "print(f\" Noise features — mean κ: {kappa_mean[~is_signal_mask].mean():.3f} (want > 0.5)\")" + ] + }, { "cell_type": "markdown", "id": "85175830", @@ -326,10 +1262,25 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 15, "id": "42689732", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-19T01:39:21.863354Z", + "iopub.status.busy": "2026-04-19T01:39:21.863166Z", + "iopub.status.idle": "2026-04-19T01:39:21.867636Z", + "shell.execute_reply": "2026-04-19T01:39:21.866866Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Skipped. Set RUN_REAL_DATA_DEMO = True to run the real-data section.\n" + ] + } + ], "source": [ "RUN_REAL_DATA_DEMO = False\n", "\n", @@ -359,6 +1310,229 @@ " print('Skipped. Set RUN_REAL_DATA_DEMO = True to run the real-data section.')\n" ] }, + { + "cell_type": "markdown", + "id": "md_012a094f", + "metadata": {}, + "source": [ + "## 7b) Worked example — Exercise A: global shrinkage sweep\n", + "\n", + "A key hyperparameter is `scale_global` (τ₀), the prior on the global shrinkage τ.\n", + "\n", + "- **Too small** → over-shrinks everything → low recall (miss true signals) \n", + "- **Too large** → under-shrinks → low precision (include noise) \n", + "- **Rule-of-thumb**: τ₀ = p₀ / (p − p₀) / √n where p₀ = expected number of signals\n", + "\n", + "The sweep below shows how F1, precision, and recall change as τ₀ varies." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "code_01f4fbb7", + "metadata": { + "execution": { + "iopub.execute_input": "2026-04-19T01:39:21.869565Z", + "iopub.status.busy": "2026-04-19T01:39:21.869391Z", + "iopub.status.idle": "2026-04-19T01:40:21.407137Z", + "shell.execute_reply": "2026-04-19T01:40:21.406353Z" + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/runner/work/bayesian_feature_selection/bayesian_feature_selection/src/bayesian_feature_selection/bayesian_feature_selection.py:178: UserWarning: There are not enough devices to run parallel chains: expected 2 but got 1. Chains will be drawn sequentially. If you are running MCMC in CPU, consider using `numpyro.set_host_device_count(2)` at the beginning of your program. You can double-check how many devices are available in your system using `jax.local_device_count()`.\n", + " self.mcmc = MCMC(\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " τ₀=0.020 → n_selected= 53 P=0.11 R=1.00 F1=0.20\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/runner/work/bayesian_feature_selection/bayesian_feature_selection/src/bayesian_feature_selection/bayesian_feature_selection.py:178: UserWarning: There are not enough devices to run parallel chains: expected 2 but got 1. Chains will be drawn sequentially. If you are running MCMC in CPU, consider using `numpyro.set_host_device_count(2)` at the beginning of your program. You can double-check how many devices are available in your system using `jax.local_device_count()`.\n", + " self.mcmc = MCMC(\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " τ₀=0.050 → n_selected= 55 P=0.11 R=1.00 F1=0.20\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/runner/work/bayesian_feature_selection/bayesian_feature_selection/src/bayesian_feature_selection/bayesian_feature_selection.py:178: UserWarning: There are not enough devices to run parallel chains: expected 2 but got 1. Chains will be drawn sequentially. If you are running MCMC in CPU, consider using `numpyro.set_host_device_count(2)` at the beginning of your program. You can double-check how many devices are available in your system using `jax.local_device_count()`.\n", + " self.mcmc = MCMC(\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " τ₀=0.100 → n_selected= 52 P=0.12 R=1.00 F1=0.21\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/runner/work/bayesian_feature_selection/bayesian_feature_selection/src/bayesian_feature_selection/bayesian_feature_selection.py:178: UserWarning: There are not enough devices to run parallel chains: expected 2 but got 1. Chains will be drawn sequentially. If you are running MCMC in CPU, consider using `numpyro.set_host_device_count(2)` at the beginning of your program. You can double-check how many devices are available in your system using `jax.local_device_count()`.\n", + " self.mcmc = MCMC(\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " τ₀=0.200 → n_selected= 51 P=0.12 R=1.00 F1=0.21\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/runner/work/bayesian_feature_selection/bayesian_feature_selection/src/bayesian_feature_selection/bayesian_feature_selection.py:178: UserWarning: There are not enough devices to run parallel chains: expected 2 but got 1. Chains will be drawn sequentially. If you are running MCMC in CPU, consider using `numpyro.set_host_device_count(2)` at the beginning of your program. You can double-check how many devices are available in your system using `jax.local_device_count()`.\n", + " self.mcmc = MCMC(\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " τ₀=0.500 → n_selected= 57 P=0.11 R=1.00 F1=0.19\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/runner/work/bayesian_feature_selection/bayesian_feature_selection/src/bayesian_feature_selection/bayesian_feature_selection.py:178: UserWarning: There are not enough devices to run parallel chains: expected 2 but got 1. Chains will be drawn sequentially. If you are running MCMC in CPU, consider using `numpyro.set_host_device_count(2)` at the beginning of your program. You can double-check how many devices are available in your system using `jax.local_device_count()`.\n", + " self.mcmc = MCMC(\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " τ₀=1.000 → n_selected= 60 P=0.10 R=1.00 F1=0.18\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Takeaway:\n", + " • Small τ₀ → aggressive shrinkage → higher precision but lower recall\n", + " • Large τ₀ → relaxed shrinkage → higher recall but lower precision\n", + " • The rule-of-thumb τ₀ ≈ 0.0500 balances the two\n" + ] + } + ], + "source": [ + "# ── Exercise A: sweep scale_global and track selection quality ────────────────\n", + "# NOTE: This sweep uses a short chain (num_warmup=150, num_samples=250) to\n", + "# keep total runtime reasonable. For a real analysis use longer chains.\n", + "\n", + "import warnings as _w\n", + "\n", + "sweep_values = [0.02, 0.05, 0.1, 0.2, 0.5, 1.0]\n", + "sweep_results = []\n", + "\n", + "for sg in sweep_values:\n", + " with _w.catch_warnings():\n", + " _w.simplefilter(\"ignore\")\n", + " cfg_sweep = InferenceConfig(\n", + " method=\"mcmc\",\n", + " num_warmup=150,\n", + " num_samples=250,\n", + " num_chains=2,\n", + " use_gpu=use_gpu,\n", + " progress_bar=False,\n", + " )\n", + " m = HorseshoeGLM(family=\"gaussian\", scale_global=sg)\n", + " m.fit(X, y, config=cfg_sweep)\n", + " imp = m.get_feature_importance(method=\"beta\", threshold=0.5)\n", + " sel = imp.loc[imp[\"selected\"], \"feature_idx\"].to_numpy()\n", + " pm = np.isin(np.arange(p), sel).astype(int)\n", + " sweep_results.append({\n", + " \"scale_global\": sg,\n", + " \"n_selected\": len(sel),\n", + " \"precision\": precision_score(true_mask, pm, zero_division=0),\n", + " \"recall\": recall_score(true_mask, pm, zero_division=0),\n", + " \"f1\": f1_score(true_mask, pm, zero_division=0),\n", + " })\n", + " print(f\" τ₀={sg:.3f} → n_selected={len(sel):3d} \"\n", + " f\"P={sweep_results[-1]['precision']:.2f} \"\n", + " f\"R={sweep_results[-1]['recall']:.2f} \"\n", + " f\"F1={sweep_results[-1]['f1']:.2f}\")\n", + "\n", + "sweep_df = pd.DataFrame(sweep_results)\n", + "\n", + "fig, axes = plt.subplots(1, 2, figsize=(13, 4))\n", + "\n", + "ax = axes[0]\n", + "ax.semilogx(sweep_df[\"scale_global\"], sweep_df[\"precision\"],\n", + " \"o-\", label=\"Precision\", color=\"tomato\")\n", + "ax.semilogx(sweep_df[\"scale_global\"], sweep_df[\"recall\"],\n", + " \"s-\", label=\"Recall\", color=\"steelblue\")\n", + "ax.semilogx(sweep_df[\"scale_global\"], sweep_df[\"f1\"],\n", + " \"D-\", label=\"F1\", color=\"seagreen\", lw=2)\n", + "# Mark the rule-of-thumb value\n", + "ax.axvline(scale_global, color=\"grey\", ls=\"--\", lw=1.5,\n", + " label=f\"Rule-of-thumb τ₀={scale_global:.4f}\")\n", + "ax.set_xlabel(\"scale_global (τ₀) — log scale\")\n", + "ax.set_ylabel(\"Score\")\n", + "ax.set_title(\"Feature selection quality vs. global shrinkage\")\n", + "ax.legend(fontsize=9)\n", + "ax.grid(alpha=0.3)\n", + "ax.set_ylim(-0.05, 1.05)\n", + "\n", + "ax2 = axes[1]\n", + "ax2.semilogx(sweep_df[\"scale_global\"], sweep_df[\"n_selected\"],\n", + " \"o-\", color=\"purple\")\n", + "ax2.axhline(len(signal_idx), color=\"goldenrod\", ls=\"--\",\n", + " lw=1.5, label=f\"True # signals = {len(signal_idx)}\")\n", + "ax2.axvline(scale_global, color=\"grey\", ls=\"--\", lw=1.5,\n", + " label=f\"Rule-of-thumb τ₀\")\n", + "ax2.set_xlabel(\"scale_global (τ₀) — log scale\")\n", + "ax2.set_ylabel(\"# selected features\")\n", + "ax2.set_title(\"Number of selected features vs. global shrinkage\")\n", + "ax2.legend(fontsize=9)\n", + "ax2.grid(alpha=0.3)\n", + "\n", + "plt.suptitle(\"Exercise A: Effect of global shrinkage on feature selection\", fontsize=12)\n", + "plt.tight_layout()\n", + "plt.show()\n", + "\n", + "print(\"\\nTakeaway:\")\n", + "print(\" • Small τ₀ → aggressive shrinkage → higher precision but lower recall\")\n", + "print(\" • Large τ₀ → relaxed shrinkage → higher recall but lower precision\")\n", + "print(f\" • The rule-of-thumb τ₀ ≈ {scale_global:.4f} balances the two\")" + ] + }, { "cell_type": "markdown", "id": "c8343096", @@ -427,8 +1601,16 @@ "name": "python3" }, "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", "name": "python", - "version": "3.12" + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.3" } }, "nbformat": 4, diff --git a/pyproject.toml b/pyproject.toml index 3648040..5bb4640 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -20,14 +20,15 @@ classifiers = [ "Programming Language :: Python :: 3.9", "Programming Language :: Python :: 3.10", "Programming Language :: Python :: 3.11", + "Programming Language :: Python :: 3.12", ] license = {text = "MIT license"} dependencies = [ "typer>=0.9.0", "rich>=13.0.0", - "numpyro>=0.13.0", - "jax>=0.4.0", - "jaxlib>=0.4.0", + "numpyro>=0.15.0", + "jax>=0.7.0", + "jaxlib>=0.7.0", "arviz>=0.16.0", "pandas>=2.0.0", "numpy>=1.24.0", @@ -47,7 +48,7 @@ dev = [ "ipython", ] gpu = [ - "jax[cuda12_pip]", + "jax[cuda12]", ] [project.scripts] diff --git a/src/bayesian_feature_selection/visualization.py b/src/bayesian_feature_selection/visualization.py index bf51111..ca4c759 100644 --- a/src/bayesian_feature_selection/visualization.py +++ b/src/bayesian_feature_selection/visualization.py @@ -12,7 +12,8 @@ def plot_feature_importance( importance_df: pd.DataFrame, output_dir: Path, feature_names: Optional[List[str]] = None, - top_n: int = 20 + top_n: int = 20, + method: str = "beta", ): """ Plot feature importance with credible intervals. @@ -27,6 +28,9 @@ def plot_feature_importance( Feature names top_n : int Number of top features to plot + method : str + Feature selection method used ('beta', 'lambda', or 'both'). + Determines which inclusion probability column to display. """ # Select top features top_features = importance_df.head(top_n).copy() @@ -81,7 +85,14 @@ def plot_feature_importance( fig, ax = plt.subplots(figsize=(10, 8)) colors = top_features["selected"].map({True: "green", False: "red"}) - ax.barh(y_pos, top_features["inclusion_prob"], color=colors, alpha=0.6) + # Select the correct inclusion-probability column based on the method used + if method == "lambda": + inc_col = "lambda_inclusion_prob" + elif method == "both": + inc_col = "combined_inclusion_prob" + else: # default: "beta" + inc_col = "beta_inclusion_prob" + ax.barh(y_pos, top_features[inc_col], color=colors, alpha=0.6) ax.set_yticks(y_pos) if feature_names is not None: