prof. RNDr. Jan Vybíral Ph.D.

Nonlocal Techniques for the Analysis of Deep ReLU Neural Network Approximations

Year of publication
2026
Publication
Journal of Machine Learning Research. 2026, 27 1-41. ISSN 1532-4435.
Authors
Schneider, C. Ullrich, M. Vybíral, J.

Entropy numbers of finite-dimensional Lorentz space embeddings

Year of publication
2025
Publication
Studia Mathematica. 2025, 283(2), 105-131. ISSN 0039-3223.
Authors
Prochno, J. Sonnleitner, M. Vybíral, J.
Link
10.4064/sm240409-15-2

Lower bounds on the minimal dispersion of point sets via cover-free families

Year of publication
2025
Publication
Journal of Complexity. 2025, 91 ISSN 0885-064X.
Authors
Trödler, M. Volec, J. Vybíral, J.
Link
10.1016/j.jco.2025.101974

Robust network formation with biological applications

Year of publication
2024
Publication
Networks and Heterogeneous Media. 2024, 19(2), 771-799. ISSN 1556-1801.
Authors
Haskovec, J. Vybíral, J.
Link
10.3934/nhm.2024035

Path Regularity of the Brownian Motion and the Brownian Sheet

Year of publication
2024
Publication
Constructive Approximation. 2024, 59(2), 485-539. ISSN 0176-4276.
Authors
Kempka, H. Schneider, C. Vybíral, J.
Link
10.1007/s00365-023-09647-z

A multivariate Riesz basis of ReLU neural networks

Year of publication
2024
Publication
Applied and Computational Harmonic Analysis. 2024, 68 ISSN 1096-603X.
Authors
Schneider, C. Vybíral, J.
Link
10.1016/j.acha.2023.101605

A tight lower bound on the minimal dispersion

Year of publication
2024
Publication
European Journal of Combinatorics. 2024, 120 ISSN 0195-6698.
Authors
Trödler, M. Volec, J. Vybíral, J.
Link
10.1016/j.ejc.2024.103945

New Lower Bounds for the Integration of Periodic Functions

Year of publication
2023
Publication
The Journal of Fourier Analysis and Application. 2023, 29(4), ISSN 1069-5869.
Authors
Krieg, D. Vybíral, J.
Link
10.1007/s00041-023-10021-7

Deterministic Constructions of High-Dimensional Sets with Small Dispersion

Year of publication
2022
Publication
Algorithmica. 2022, 84(7), 1897-1915. ISSN 0178-4617.
Authors
Ullrich, M. Vybíral, J.
Link
10.1007/s00453-022-00943-x

Lower bounds for integration and recovery in L-2

Year of publication
2022
Publication
Journal of Complexity. 2022, 72 1-15. ISSN 0885-064X.
Authors
Hinrichs, A. Krieg, D. Novak, E. Vybíral, J.
Link
10.1016/j.jco.2022.101662

Robust and resource efficient identification of shallow neural networks by fewest samples

Year of publication
2021
Publication
Information and Inference: a Journal of the IMA. 2021, 10(2), 625-695. ISSN 2049-8772.
Authors
Fornasier, M. Vybíral, J. Daubechies, I.
Link
10.1093/imaiai/iaaa036

Lower bounds for the error of quadrature formulas for Hilbert spaces

Year of publication
2021
Publication
Journal of Complexity. 2021, 65 ISSN 0885-064X.
Authors
Hinrichs, A. Krieg, D. Novak, E. Vybíral, J.
Link
10.1016/j.jco.2020.101544

Gelfand numbers of embeddings of Schatten classes

Year of publication
2021
Publication
Mathematische Annalen. 2021, 380(3-4), 1563-1593. ISSN 0025-5831.
Authors
Hinrichs, A. Prochno, J. Vybíral, J.
Link
10.1007/s00208-021-02203-9

Entropy numbers of finite-dimensional embeddings

Year of publication
2020
Publication
EXPOSITIONES MATHEMATICAE. 2020, 38(3), 319-336. ISSN 0723-0869.
Authors
Kossaczká, M. Vybíral, J.
Link
10.1016/j.exmath.2019.04.001

On the volume of unit balls of finite-dimensional Lorentz spaces

Year of publication
2020
Publication
Journal of Approximation Theory. 2020, 255 ISSN 0021-9045.
Authors
Doležalová, A. Vybíral, J.
Link
10.1016/j.jat.2020.105407

A variant of Schur's product theorem and its applications

Year of publication
2020
Publication
Advances in mathematics. 2020, 2020(368), ISSN 0001-8708.
Authors
Vybíral, J.
Link
10.1016/j.aim.2020.107140

Learning General Sparse Additive Models from Point Queries in High Dimensions

Year of publication
2019
Publication
Constructive Approximation. 2019, 50(3), 403-455. ISSN 0176-4276.
Authors
Tyagi, H. Vybíral, J.
Link
10.1007/s00365-019-09461-6

The minimal k-dispersion of point sets in high dimensions

Year of publication
2019
Publication
Journal of Complexity. 2019, 2019(51), 68-78. ISSN 0885-064X.
Authors
Hinrichs, A. Prochno, J. Ullrich, M. Vybíral, J.
Link
10.1016/j.jco.2018.10.001

An upper bound on the minimal dispersion

Year of publication
2018
Publication
Journal of Complexity. 2018, 45 120-126. ISSN 0885-064X.
Authors
Ullrich, M. Vybíral, J.
Link
10.1016/j.jco.2017.11.003