Jan Vybíral

Department of Mathematics Faculty of Nuclear Sciences     and Physical Engineering Czech Technical University Trojanova 13 12000 Praha Czech Republic Katedra matematiky Fakulta jaderná a fyzikálně inženýrská České vysoké učení technické v Praze Trojanova 13 12000 Praha Česká Republika

What's new:

• Paper Entropy numbers of finite-dimensional Lorentz space embeddings, jointly with J. Prochno and M. Sonnleitner, was submitted
• Paper A tight lower bound on the minimal dispersion (jointly with M. Trodler and J. Volec), appeared in European Journal of Combinatorics
• Upcoming conferences: Strobl 2024, Bedlewo (birthday conference of Przemyslaw Wojtaszczyk), Siegmundsburg, FSDONA 2024
• Preprint A multivariate Riesz basis of ReLU neural networks (jointly with C. Schneider), appeared in Appl. Comput. Harm. Anal.
• Preprint Robust network formation with biological applications (jointly with J. Haskovec), submitted
• November 2023: visit to University of Passau, December 2023: visit to Friedrich-Schiller University in Jena
• Preprint A tight lower bound on the minimal dispersion (jointly with M. Trodler and J. Volec), submitted
• Preprint New lower bounds for the integration of periodic functions (jointly with D. Krieg) appeared in J. Fourier. Anal. Appl.
• Workshop on Mathematical Information Science, The Lagrange Mathematics and Computation Research Center, October 2023, Paris
• Preprint A multivariate Riesz basis of ReLU neural networks (jointly with C. Schneider), submitted
• Preprint on Path regularity of Brownian motion and Brownian sheet (jointly with C. Schneider and H. Kempka) will appear in Constr. Approx.
• Algorithms and Complexity for Continuous Problems, Dagstuhl, Germany
• ICIAM 2023, Tokyo, Japan
• Foundations of Computational Mathematics, Paris, France
• Preprint New lower bounds for the integration of periodic functions (jointly with D. Krieg) submitted
• Preprint on Path regularity of Brownian motion and Brownian sheet (jointly with C. Schneider and H. Kempka) submitted
• NAFSA 12, Slides of my talk on path regularity of Wiener process and Brownian motion
• Spending the summer term (April-September) 2022 at TU Munich (Garching)
• Preprint (jointly with A. Hinrichs, D. Krieg, and E. Novak) Lower bounds for integration and recovery in L2 was submitted
• Preprint (jointly with with M. Fornasier and I. Daubechies) Identification of shallow neural networks by fewest samples appeared in IMA: Information and Inference
• Lower bounds for the error of quadrature formulas for Hilbert spaces, jointly with A. Hinrichs, D. Krieg, and E. Novak, appeared in J. Compl.
• Preprint Gelfand numbers of embeddings of Schatten classes, jointly with A. Hinrichs and J. Prochno, will appear in Math. Ann.
• September 2020: QIND60, Sickel 65
• July 2020, Siegmundsburg
• Preprint A variant of Schur's product theorem and its applications appeared in Adv. Math.
• Preprint On the volume of unit balls of finite-dimensional Lorentz spaces (jointly with Anna Doležalová) appeared in Journal of Approximation Theory
• Oberwolfach, February 2-8, 2020
• Winter school of AI; Lecture notes: Jan Drchal, lecture 1, Jan Drchal, lecture 2, Jan Drchal, lecture 3, Tomáš Pevný, Notebooky v Julii, Válav Šmídl, lecture 1, Václav Šmídl, lecture 2, Václav Šmídl, lecture 3
• Second year of a seminar Mathematics for life, January 17, 2020
• Summer School, University of Minho, Braga, September 9 - 13, 2019
• Siegmundsburg 2019 (August 26-28) and Dagstuhl 2019 (August 18-23)
• June 10-15, 2019: FSDONA
• And the winner of the IBC Award 2019 is...
• Survey on Entropy numbers of finite-dimensional embeddings (jointly with M. Kossaczka), available on arXiv, will appear in Expositiones Mathematicae
• February 18-22, 2019: Cambridge, UK
• Preprint (jointly with H. Tyagi) Learning non-smooth sparse additive models from point queries in high dimensions, available on arXiv, appeared in Constructive Approximation
• Preprint (jointly with Mario Ullrich) Deterministic constructions of high-dimensional sets with small dispersion now available at arXiv

Lecture notes: