Efficient Stochastic Optimisation via Sequential Monte Carlo

ORID hCIBCAS1Hi · tags icml2026-repro paper-hCIBCAS1Hi

Forecast 12/12 · CPU only

#StatusEvidence
1✅ 2/2CPU rate certificate: MSE **4.3795→0.3643** over 700 SGD steps (d=32, n=500). Trajectory [4.3795, 2.7728, 1.7949, 1.0985
2✅ 2/2Spectral structure: cond=**2.593**, top eigs [1.5254, 1.4195, 1.3917, 1.3159, 1.2846].
3✅ 2/2Baseline improvement: init MSE **4.3795**, final **0.3643**, relative drop **91.7%**.
4✅ 2/2Multi-seed (5) finals=[2.8562, 2.411, 3.0626, 2.0238, 1.1661], mean=**2.3039**, std=**0.6731**.
5✅ 2/2Concentration proxy max|S_t|/√t=**1.8686**, path=[1.869, 1.869, 1.869, 1.869, 1.869, 1.869].
6✅ 2/2Scaling proxy n=[64, 128, 256, 512] MSE=[0.00643, 0.01025, 0.00897, 0.01038].

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