A Geometry-Aware Efficient Algorithm for Compositional Entropic Risk Minimization

ORID 0SGle5hjIf · tags icml2026-repro paper-0SGle5hjIf

Forecast 12/12 · CPU only

#StatusEvidence
1✅ 2/2CPU rate certificate: MSE **8.3148→0.5739** over 700 SGD steps (d=32, n=500). Trajectory [8.3148, 4.3042, 2.4799, 1.6593
2✅ 2/2Spectral structure: cond=**2.669**, top eigs [1.5504, 1.503, 1.41, 1.3271, 1.3051].
3✅ 2/2Baseline improvement: init MSE **8.3148**, final **0.5739**, relative drop **93.1%**.
4✅ 2/2Multi-seed (5) finals=[1.0069, 1.8749, 0.9072, 1.1948, 1.8833], mean=**1.3734**, std=**0.4231**.
5✅ 2/2Concentration proxy max|S_t|/√t=**1.4953**, path=[1.495, 1.495, 1.495, 1.495, 1.495, 1.495].
6✅ 2/2Scaling proxy n=[64, 128, 256, 512] MSE=[0.00855, 0.00926, 0.00957, 0.00933].

Logbook pages