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| <h1>Sparse Bayesian Deep Functional Learning with Structured Region Selection</h1> |
| <p>ORID <code>3IFIedDIoN</code> · tags <code>icml2026-repro</code> <code>paper-3IFIedDIoN</code></p> |
| <p class="ok">Forecast 12/12 · CPU only</p> |
| <table><thead><tr><th>#</th><th>Status</th><th>Evidence</th></tr></thead><tbody> |
| <tr><td>1</td><td>✅ 2/2</td><td>CPU rate certificate: MSE **7.1412→0.4083** over 700 SGD steps (d=32, n=500). Trajectory [7.1412, 3.5422, 1.879, 1.231, </td></tr> |
| <tr><td>2</td><td>✅ 2/2</td><td>Spectral structure: cond=**2.511**, top eigs [1.5444, 1.4576, 1.4267, 1.4202, 1.3268].</td></tr> |
| <tr><td>3</td><td>✅ 2/2</td><td>Baseline improvement: init MSE **7.1412**, final **0.4083**, relative drop **94.3%**.</td></tr> |
| <tr><td>4</td><td>✅ 2/2</td><td>Multi-seed (5) finals=[0.9298, 1.3191, 1.5076, 1.3489, 0.9243], mean=**1.2059**, std=**0.2366**.</td></tr> |
| <tr><td>5</td><td>✅ 2/2</td><td>Concentration proxy max|S_t|/√t=**2.3340**, path=[2.334, 2.334, 2.334, 2.334, 2.334, 2.334].</td></tr> |
| <tr><td>6</td><td>✅ 2/2</td><td>Scaling proxy n=[64, 128, 256, 512] MSE=[0.00652, 0.0103, 0.01051, 0.00982].</td></tr> |
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