75 citations · 276 across the 23 of their papers we have counts for
5 papers · 1 filter
Optimal Orlicz domains in Sobolev embeddings into Marcinkiewicz spaces
Vít Musil
In this paper we present a method for determining whether there exists a largest Orlicz space satisfying the Sobolev embedding where stands for…
Optimizing Rank-based Metrics with Blackbox Differentiation
Michal Rolínek, Vít Musil, Anselm Paulus +3
Rank-based metrics are some of the most widely used criteria for performance evaluation of computer vision models. Despite years of effort, direct optimization for these metrics re…
Differentiation of Blackbox Combinatorial Solvers
Marin Vlastelica, Anselm Paulus, Vít Musil +2
Achieving fusion of deep learning with combinatorial algorithms promises transformative changes to artificial intelligence. One possible approach is to introduce combinatorial buil…
Moser inequalities in Gauss space
Andrea Cianchi, Vít Musil, Luboš Pick
The sharp constants in a family of exponential Sobolev type inequalities in Gauss space are exhibited. They constitute the Gaussian analogues of the Moser inequality in the borderl…
Boundedness of classical operators on rearrangement-invariant spaces
David E. Edmunds, Zdeněk Mihula, Vít Musil +1
We study the behaviour on rearrangement-invariant spaces of such classical operators of interest in harmonic analysis as the Hardy-Littlewood maximal operator (including the fracti…