Workshop description
This workshop will gather experts in approximation theory and related fields. One of the two semi plenary lectures will be delivered by the awardee of the 10th Vasil Popov prize.
Speakers
Semi-plenary speakers
- 10th Popov Prize, Awardee - To be announced,
- Boyer, Claire - Sorbonne Université, France
Invited speakers
- Bachmayr, Markus - RWTH Aachen, Germany
- Buet, Blanche - Université Paris Saclay, France
- Campos, Martin - Max Plank Institute, München, Germany
- Dahmen, Wolfgang - University of South Carolina, USA
- Dyn, Nira - Tel Aviv University, Israel
- Etayo, Ujué - University of Cantabria, Spain
- Ivanov, Kamen - Bulgarian Academy of Sciences, Bulgaria
- Mula-Hernandez, Olga - Eindhoven University of Technology, Netherland
- Nadav, Dym - Technion, Israel
- Nouy, Anthony - Ecole Centrale de Nantes, France
- Petrushev, Pencho - University of South Carolina, USA
- Plonka-Hoch, Gerlind - Universität Goettingen, Germany
- Putinar, Mihai - University of California at Santa Barbara, USA
- Saff, Edward - Vanderbilt University, USA
- Siegel, Jonathan - Texas A&M University, USA
- Xu, Yuan - University of Oregon, USA
Preliminary program
This schedule is preliminary and could be updated.
Monday, June 19
| 14:00 ~ 15:00 | Compositional Sparsity and Model Classes for High-Dimensional Approximation Wolfgang Dahmen - University of South Carolina, USA |
| 15:00 ~ 15:30 | Complex approximation on rational curves Mihai Putinar - University of California, United States |
| 15:30 ~ 16:00 | Optimal Approximation Rates for Deep ReLU Neural Networks on Sobolev Spaces Jonathan Siegel - Texas A&M University, United States |
| 16:30 ~ 17:00 | Metric Approximation of Set-Valued Functions Nira Dyn - School of Mathematical Sciences, Tel Aviv University, Israel |
| 17:00 ~ 17:30 | Approximation of smooth functions by short exponential sums Gerlind Plonka - University of Goettingen, Germany |
| 17:30 ~ 18:30 | Efficient Neural Group Invariant Embeddings Nadav Dym - Technion, Israel |
Tuesday, June 20
| 14:00 ~ 15:00 | TBA Awardee 10th Popov Prize - TBA, TBA |
| 15:00 ~ 15:30 | Polynomial approximation on spaces of homogeneous type Yuan Xu - University of Oregon, United States |
| 15:30 ~ 16:00 | Space-time adaptive low-rank approximation for high-dimensional parabolic PDEs Markus Bachmayr - RWTH Aachen, Germany |
| 17:00 ~ 17:30 | Nonlinear algorithms for state estimation of Hamiltonian systems Olga Mula - TU Eindhoven, Netherlands |
| 17:30 ~ 18:00 | Universal Lower Bounds for Discrete Potentials of Spherical Codes and Designs Edward Saff - Vanderbilt University, USA |
| 18:00 ~ 18:30 | A varifold perspective on discrete surfaces Blanche Buet - Université Paris Saclay, France |
Wednesday, June 21
| 14:00 ~ 15:00 | A Bombieri type inequality and equidistribution of points Ujué Etayo - Universidad de Cantabria, Spain |
| 15:00 ~ 15:30 | Bounded commuting projections for multipatch spaces Martin Campos Pinto - Max Planck Institute for Plasma Physics, Germany |
| 15:30 ~ 16:00 | Gaussian bounds for the heat kernel associated to prolate spheroidal wave functions with applications Pencho Petrushev - University of South Carolina, USA |
| 16:30 ~ 17:00 | Optimal sampling for $L^2$ approximation: from linear to nonlinear models Anthony Nouy - Nantes Université - Centrale Nantes, France |
| 17:00 ~ 17:30 | Nonlinear wavelet and spline approximation in BMO Kamen Ivanov - Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Bulgaria |
| 17:30 ~ 18:30 | Convergence and error analysis of PINNs Claire Boyer - Sorbonne Université, |
Posters
- A general approximation lower bound in $L^p$ norm, with applications to feed-forward neural networks
El Mehdi Achour - RWTH Aachen University, Germany - Function reconstruction using determinantal sampling
Ayoub Belhadji - ENS de Lyon, France - Approximation spaces and greedy-like bases
Pablo Manuel Berná - CUNEF Universidad, Spain - Polynomial Approximation of Symmetric Functions
Geneviève Dusson - CNRS & Université Franche-Comté, France - Non-linear approximation by greedy bases
David González - CEU Universities, Spain - Low-energy points on the sphere and the real projective plane
Pedro R. López-Gómez - Universidad de Cantabria, Spain - Potential Theory with Multivariate Kernels on the Sphere
Ryan Matzke - Vanderbilt University, United States of America - Chebyshev polynomials in the complex plane
Olof Rubin - Lund University, Sweden - Sampling theorems with derivatives in shift-invariant spaces generated by exponential B-splines
Irina Shafkulovska - University of Vienna, Austria - Nonlinear function approximation using different dimension-incremental strategies
Fabian Taubert - University of Technology Chemnitz, Germany - A Bernstein-type Result for Stable Approximation with RNNs
Shida Wang - National University of Singapore, Singapore - On sharp $L^2$ convergence rates for kernel based interpolation
Tizian Wenzel - University of Stuttgart, Germany