Poincar'e's Inequality on Sliding-Window Occupation Count Kernels and the Optimal Normalized Spectral-Gap Constant

arXiv:2609.27836 · math.ST, math.PR, stat.ML, stat.TH · Submitted 2026-08-19 · Read on arXiv

math.ST, math.PR, stat.ML, stat.TH

Submitted: 2026-08-19

Updated: 2026-10-15

Terminology

• Spectral Gap — 10× in this paper · explained in 5 episodes
• Trace — 4× in this paper · explained in 2 episodes
• Aggregation — 1× in this paper · explained in 1 episode
• Alignment — 1× in this paper · explained in 1 episode
• Decoupling — 1× in this paper · explained in 2 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Conditionally Resampled Sliding-Window Count Kernels: Spectral-Gap Bounds and Poincar'e Inequalities

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