4 papers
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…
Reducing the upper bound for the Borsuk number in to 8
Alexander Tolmachev, Vsevolod Voronov
The Borsuk number of -dimensional Euclidean space is the smallest integer such that any set of unit diameter can be partitioned in…
GAS: Improving Discretization of Diffusion ODEs via Generalized Adversarial Solver
Aleksandr Oganov, Ilya Bykov, Eva Neudachina +7
While diffusion models achieve state-of-the-art generation quality, they still suffer from computationally expensive sampling. Recent works address this issue with gradient-based o…
On lower bounds of the density of planar periodic sets without unit distances
Alexander Tolmachev
Determining the maximal density of planar sets without unit distances is a fundamental problem in combinatorial geometry. This paper investigates lower bounds f…