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math.PR2026
Total Variation Distance between Product Distributions: an Analytic Proxy
Ariel Avital, Aryeh Kontorovich, Roman Vershynin +1
We characterize, up to universal constants, the total variation distance between finite products of arbitrary probability measures by a simple formula. A theorem of Latala reduces…
math.PR2026
Discrepancy and Fisher information
Gleb Smirnov, Roman Vershynin
We give an online algorithm that keeps a symmetric random walk inside a convex body by discarding some of its steps. The expected number of discarded steps is controlled by a Fishe…
math.PR2026
On the Subgaussianity of Quantized Linear Maps: An AI-Assisted Note
Guangyi Zou, Roman Vershynin
We prove an elementary bounded-differences inequality for functions of non-isotropic Gaussian vectors. Specifically, if has bounded coordinate differences and $X\sim\mathcal N(…