ASC
3 January 2019 to 26 June 2019
Approximation theory is the study of simulating potentially extremely complicated functions, called target functions, with simpler, more easily computable functions called approximants. The purpose of the simulation could be to approximate values of the target function with respect to a given norm, to estimate the integral of the target function, or to compute its minimum value. Approximation theory's relationship with computer science and engineering encourages solutions that are efficient with regards to computation time and space. In addition, approximation theory problems may also deal with real-life restrictions on data, which can be incomplete, expensive, or noisy. As a result, approximation theory often overlaps with sampling and compression problems.
The main aim of this programme is to understand and solve challenging problems in the high-dimensional context, but this aim is dual. On one hand, we would like to use the high-dimensional context to understand classical approximation problems. For example, recent developments have revealed promising new directions towards a break-through in a set of classical unsolved problems related to sampling in hyperbolic cross approximations. On the other hand, we want to understand why classical multivariate approximation methods fail in the modern high-dimensional context and to find methods that will be better and more efficient for modern approximation in very high dimensions. This direction will focus on two conceptual steps: First, replacement of classical smoothness assumptions by structural assumptions, such as those of sparsity used by compressed sensing. Second, the use of a nonlinear method, for instance a greedy algorithm, to find an appropriate sparse approximant.
In order to achieve the goal the programme will bring together researchers from different fields to work in groups on modern problems of high-dimensional approximation and related topics. It will foster exchange between different groups of researchers and practitioners.
The programme includes the following three workshops:
Workshop 1: Challenges in optimal recovery and hyperbolic cross approximation, February 18-22, 2019.
Workshop 2: Mathematics of data: structured representations for sensing, approximation and learning, May 28-31, 2019.
Workshop 3: Approximation, sampling, and compression in high dimensional problems, June 17-21, 2019.
Click here to download the programme's final scientific report
Title | Year | Programme | |
---|---|---|---|
Delsarte's Extremal Problem and Packing on Locally Compact Abelian GroupsAuthors: Elena Berdysheva, Szilard Gy. Revesz |
2018 | ASC | 20 October 2022 |
On the Extreme Zeros of Jacobi PolynomialsAuthors: Geno Nikolov |
2018 | ASC | 20 October 2022 |
LEBESGUE-TYPE INEQUALITIES IN GREEDY APPROXIMATIONAuthors: Vladimir Temlyakov, Stephen Dilworth, Gustavo Garrigos, Eugenio Hernandez, Denka Kutzarova |
2018 | ASC | 1 October 2019 |
Wilkinson's bus: Weak condition numbers, with an application to singular polynomial eigenproblemsAuthors: Martin Lotz, Vanni Noferini |
2018 | ASC | 28 June 2019 |
Sparse-grid polynomial interpolation approximation and integration for parametric and stochastic elliptic PDEs with lognormal inputsAuthors: Dũng Dinh |
2018 | ASC | 10 June 2019 |
Delsarte's Extremal Problem and Packing on Locally Compact Abelian GroupsAuthors: Elena Berdysheva, Szilárd Gy Révészy |
2018 | ASC | 20 May 2019 |
FIBONACCI LATTICES HAVE MINIMAL DISPERSION ON THE TWO-DIMENSIONAL TORUSAuthors: Simon Breneis, Aicke Hinrichs |
2018 | ASC | 8 May 2019 |
A remark on approximation with polynomials and greedy basesAuthors: Antonio Pérez, Pablo Manuel Berna |
2018 | ASC | 25 April 2019 |
EXTRA INVARIANCE OF PRINCIPAL SHIFT INVARIANT SPACES AND THE ZAK TRANSFORM.Authors: Eugenio Hernandez, Carolina Mosquera, Davide Barbieri |
2018 | ASC | 24 April 2019 |
Greedy approximation for biorthogonal systems in quasi-Banach spacesAuthors: Pablo M. Berná, Przemyslaw Wojtaszczyk, Fernando Albiac, José Luis Ansorena |
2018 | ASC | 15 April 2019 |
On the power of random informationAuthors: Erich Novak, Joscha Prochno, Mario Ullrich, David Krieg, Aicke Hinrichs |
2018 | ASC | 4 March 2019 |
BASIS PROPERTIES OF THE HAAR SYSTEM IN LIMITING BESOV SPACESAuthors: Tino Ullrich, Gustavo Garrigos, Andreas Seeger |
2018 | ASC | 29 January 2019 |
18 February 2019 to 22 February 2019
23 May 2019 to 23 May 2019
28 May 2019 to 31 May 2019
17 June 2019 to 21 June 2019
Thursday 10th January 2019 | |||
---|---|---|---|
15:00 to 16:00 |
Peter Binev University of South Carolina |
Room 2 |
Friday 18th January 2019 | |||
---|---|---|---|
11:00 to 12:00 |
Andreas Seeger University of Wisconsin-Madison |
Room 2 |
Thursday 24th January 2019 | |||
---|---|---|---|
15:00 to 16:00 |
Elijah Liflyand Bar-Ilan University |
Room 2 |
Tuesday 29th January 2019 | |||
---|---|---|---|
15:00 to 16:00 |
Mikhail Tyaglov Shanghai Jiao Tong University |
Room 2 |
Monday 11th February 2019 | |||
---|---|---|---|
15:00 to 16:30 |
Erich Novak Friedrich-Schiller-Universität Jena |
Room 1 | |
Tuesday 12th February 2019 | |||
---|---|---|---|
15:00 to 16:30 |
Ben Adcock Simon Fraser University |
Room 1 |
Wednesday 13th February 2019 | |||
---|---|---|---|
15:00 to 16:30 |
Erich Novak Friedrich-Schiller-Universität Jena |
Room 1 | |
Thursday 14th February 2019 | |||
---|---|---|---|
15:00 to 16:30 |
Ben Adcock Simon Fraser University |
Room 1 |
Friday 15th February 2019 | |||
---|---|---|---|
15:00 to 16:30 |
Ben Adcock Simon Fraser University |
Room 1 |
Monday 25th February 2019 | |||
---|---|---|---|
15:00 to 16:00 |
Michael Lacey Georgia Institute of Technology |
Room 1 | |
Tuesday 12th March 2019 | |||
---|---|---|---|
15:00 to 16:30 |
Elena Berdysheva Justus-Liebig-Universität Gießen |
Room 2 | |
Monday 25th March 2019 | |||
---|---|---|---|
11:00 to 12:00 |
Dorothee Haroske Friedrich-Schiller-Universität Jena |
Room 2 | |
Monday 8th April 2019 | |||
---|---|---|---|
15:00 to 16:00 |
Luz Roncal BCAM - Basque Center for Applied Mathematics |
Room 2 | |
Monday 29th April 2019 | |||
---|---|---|---|
14:00 to 16:00 |
Yuan Xu University of Oregon |
Room 2 |
Wednesday 1st May 2019 | |||
---|---|---|---|
13:00 to 14:45 |
Marta Betcke University College London |
Room 2 | |
Thursday 9th May 2019 | |||
---|---|---|---|
14:00 to 15:00 |
Nira Dyn Tel Aviv University |
Room 2 | |
Tuesday 21st May 2019 | |||
---|---|---|---|
16:00 to 17:00 |
Ronald DeVore Texas A&M University |
Room 1 | |
Friday 7th June 2019 | |||
---|---|---|---|
14:00 to 15:00 |
Guergana Petrova Texas A&M University |
Room 2 |
Wednesday 12th June 2019 | |||
---|---|---|---|
16:00 to 17:00 |
Svitlana Mayboroda University of Minnesota |
Room 1 | |
Thursday 13th June 2019 | |||
---|---|---|---|
15:00 to 16:00 |
Maria del Carmen Reguera Rodriguez University of Birmingham |
Room 2 |
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