# Vít Musil

## About

I am a postdoc at Faculty of informatics, **Masaryk University**, Brno, Czechia.

In September 2018, I completed my PhD at the Faculty of Mathematics and Physics of the
**Charles University** under the supervision of Luboš Pick.

In 2018-2020, I was a postdoc at Dipartimento di Matematica e Informatica 'Ulisse Dini', **University of Florence**, Italy, and at Mathematical institute of the **Czech Academy of Sciences**.

## Research interest

**Mathematical analysis**function spaces and inequalities, with applications in PDE’s, approximation theory, interpolation

**Informatics**combinatorial algorithms in deep learning, adversarial patrolling games

## Publications

#### Journal Articles

- Cianchi, Andrea and Musil, Vít and Pick, Luboš,
**Moser inequalities in Gauss space**,*Mathematische Annalen*, 2020, , eprint. - Cianchi, Andrea and Musil, Vít and Pick, Luboš,
**On the Existence of Extremals for Moser-Type Inequalities in Gauss Space**,*International Mathematics Research Notices*, 2020, , eprint. - Edmunds, D. E. and Mihula, Z. and Musil, V. and Pick, L.,
**Boundedness of classical operators on rearrangement-invariant spaces**,*Journal of Functional Analysis*, 2020, , eprint. - Lang, J. and Musil, V. and Olšák, M. and Pick, L.,
**Maximal non-compactness of Sobolev embeddings**,*J. Geom. Anal.*, 2020, , eprint. - Cianchi, A. and Musil, V.,
**Optimal domain spaces in Orlicz-Sobolev embeddings**,*Indiana Univ. Math. J.*, 2019, eprint. - Lang, J. and Musil, V.,
**Strict s-Numbers of Non-compact Sobolev Embeddings into Continuous Functions**,*Constructive Approximation*, 2019, , eprint. - Musil, V.,
**Fractional maximal operator in Orlicz spaces**,*J. Math. Anal. Appl.*, 2019, , eprint. - Musil, V. and Oľhava, R.,
**Interpolation theorem for Marcinkiewicz spaces with applications to Lorentz gamma spaces**,*Math. Nachr.*, 2019, , eprint. - Bakşi, Ö. and Khan, T. and Lang, J. and Musil, V.,
**Strict $s$-numbers of the Volterra operator**,*Proc. Amer. Math. Soc.*, 2018, , eprint. - Musil, V.,
**Optimal Orlicz domains in Sobolev embeddings into Marcinkiewicz spaces**,*J. Funct. Anal.*, 2016, , eprint.

#### Proceedings Papers

- Paulus, A. and Rolínek, M. and Musil, V. and B., Amos and Martius, G.,
**CombOptNet: Fit the Right NP-Hard Problem by Learning Integer Programming Constraints**,*International Conference on Machine Learning*, 2021, eprint. - Rolínek, M. and Musil, V. and Paulus, A. and Vlastelica, M. and Michaelis, C. and Martius, G.,
**Optimizing ranking-based metrics with blackbox differentiation**,*IEEE Conference on Computer Vision and Pattern Recognition*, 2020, eprint. - Rolínek, M. and Swoboda, P. and Zietlow, D. and Paulus, A. and Musil, V. and Martius, G.,
**Deep Graph Matching via Blacbox Differentiation of Combinatorial Solvers**,*European Conference on Computer Vision*, 2020, eprint. - Vlastelica, M. and Paulus, A. and Musil, V. and Martius, G. and Rolínek, M.,
**Differentiation of blackbox combinatorial solvers**,*International Conference on Learning Representations*, 2020, eprint.

#### Preprints

- Cianchi, A. and Musil, V. and Pick, L.,
**Optimal spaces for the Ornstein-Uhlenbeck operator**. - Cianchi, A. and Musil, V. and Pick, L.,
**Sharp exponential inequalities for the Ornstein-Uhlenbeck operator**, eprint. - Kerman, R. and Musil, V.,
**Local convergence of Hermite series**. - Malý, J. and Musil, V. and Pick, L.,
**Maximal non-compactness of embeddings into Marcinkiewicz spaces**.

#### Dissertaion Thesis

- Musil, V.,
**Classical operators of harmonic analysis in Orlicz spaces**, 2018.