3 papers
math.PR2026
High-Order Talagrand and Eldan--Gross Inequalities via Besov-Type Variance Functionals
Guangyue Han, Peijie Li
By introducing high-order Besov-type variance functionals that generalize the canonical variance, we develop a unified framework for proving high-order Talagrand-type inequalities…
cs.IT2026
Information-Theoretic Bounds for Sparse Covariance Estimation in the Vertical-Split Distributed Model
Jing Yee Tan, Guangyue Han
We study the minimax estimation error for distributed covariance matrix estimation in the vertical-split (feature-split) setting, where two agents each observe different coordinate…
cs.IT2025
Strengthening Han's Fourier Entropy-Influence Inequality via an Information-Theoretic Proof
Peijie Li, Guangyue Han
We strengthen Han's Fourier entropy-influence inequality originally proved for -va…