Alexander Tolmachev

activity

20242026

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cs.LG2026

Towards Diverse and Comprehensive Benchmarks for Mutual Information Estimation

Alberto Foresti, Ivan Butakov, Alexander Tolmachev +3

Mutual information (MI) estimation is a central problem in machine learning and statistics; however, existing benchmarks typically evaluate estimators on simplified, low-dimensiona…

math.MG2026

Reducing the upper bound for the Borsuk number in $R^{4}$ to 8

Alexander Tolmachev, Vsevolod Voronov

The Borsuk number $b (n)$ of $n$ -dimensional Euclidean space $R^{n}$ is the smallest integer such that any set $F \subset R^{n}$ of unit diameter can be partitioned in…

Towards Diverse and Comprehensive Benchmarks for Mutual Information Estimation

Reducing the upper bound for the Borsuk number in R4 to 8

Reducing the upper bound for the Borsuk number in $R^{4}$ to 8