Ariel Avital

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20202026

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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

TV over Bernoulli products: the small parameter regime

Ariel Avital, Aryeh Kontorovich, George Salafatinos

We study the total variation distance (TV) between two $n$ -fold Bernoulli product measures parametrized by $p = (p_{1}, \dots, p_{n})$ and $q = (q_{1}, \dots, q_{n})$ , respectively, in…

math.PR2024

Sharp bounds on aggregate expert error

Aryeh Kontorovich, Ariel Avital

We revisit the classic problem of aggregating binary advice from conditionally independent experts, also known as the Naive Bayes setting. Our quantity of interest is the error pro…