75 citations · 276 across the 23 of their papers we have counts for
6 papers · 1 filter
Optimality problems in Orlicz spaces
Vít Musil, Luboš Pick, Jakub Takáč
In mathematical modelling, the data and solutions are represented as measurable functions and their quality is oftentimes captured by the membership to a certain function space. On…
Optimal Sobolev embeddings for the Ornstein-Uhlenbeck operator
Andrea Cianchi, Vít Musil, Luboš Pick
A comprehensive analysis of Sobolev-type inequalities for the Ornstein-Uhlenbeck operator in the Gauss space is offered. A unified approach is proposed, providing one with criteria…
On-the-fly Adaptation of Patrolling Strategies in Changing Environments
Tomáš Brázdil, David Klaška, Antonín Kučera +3
We consider the problem of efficient patrolling strategy adaptation in a changing environment where the topology of Defender's moves and the importance of guarded targets change un…
General Optimization Framework for Recurrent Reachability Objectives
David Klaška, Antonín Kučera, Vít Musil +1
We consider the mobile robot path planning problem for a class of recurrent reachability objectives. These objectives are parameterized by the expected time needed to visit one pos…
Backpropagation through Combinatorial Algorithms: Identity with Projection Works
Subham Sekhar Sahoo, Anselm Paulus, Marin Vlastelica +3
Embedding discrete solvers as differentiable layers has given modern deep learning architectures combinatorial expressivity and discrete reasoning capabilities. The derivative of t…
Minimizing Expected Intrusion Detection Time in Adversarial Patrolling
David Klaška, Antonín Kučera, Vít Musil +1
In adversarial patrolling games, a mobile Defender strives to discover intrusions at vulnerable targets initiated by an Attacker. The Attacker's utility is traditionally defined as…