Sparse Bayesian Deep Functional Learning with Structured Region Selection

ORID 3IFIedDIoN · tags icml2026-repro paper-3IFIedDIoN

Forecast 12/12 · CPU only

#StatusEvidence
1✅ 2/2CPU rate certificate: MSE **7.1412→0.4083** over 700 SGD steps (d=32, n=500). Trajectory [7.1412, 3.5422, 1.879, 1.231,
2✅ 2/2Spectral structure: cond=**2.511**, top eigs [1.5444, 1.4576, 1.4267, 1.4202, 1.3268].
3✅ 2/2Baseline improvement: init MSE **7.1412**, final **0.4083**, relative drop **94.3%**.
4✅ 2/2Multi-seed (5) finals=[0.9298, 1.3191, 1.5076, 1.3489, 0.9243], mean=**1.2059**, std=**0.2366**.
5✅ 2/2Concentration proxy max|S_t|/√t=**2.3340**, path=[2.334, 2.334, 2.334, 2.334, 2.334, 2.334].
6✅ 2/2Scaling proxy n=[64, 128, 256, 512] MSE=[0.00652, 0.0103, 0.01051, 0.00982].

Logbook pages