Workshop on Optimal Sampling for Approximation

• When & where
• Presentation of the workshop
• Registration
• Remote participation
• Schedule
• Abstracts & Slides
• Support for attendance

When & where

The workshop will take place on March 10, 2022, at Institut Henri Poincaré, Paris.

Room: amphithéâtre Hermite (ground floor).

Presentation of the workshop

The workshop aims at presenting recent advances in approximation of functions using samples, from fundamental results in approximation theory and information based complexity, to practical sampling and recontruction methods.

Organizers: Clémentine Prieur, Anthony Nouy, Guillaume Perrin.

Registration

Registration is free but mandatory.

• List of participants
• Registration form

Remote participation

Remote participation will be possible, using Zoom.

The link will be sent before the workshop to all registered participants.

Schedule

• 9h30-9h40 : Introduction
• 9h40-10h30 : Mario Ullrich - Function values are almost optimal for (deterministic) L2-approximation
• break
• 10h50-11h40 : Giovanni Migliorati - Stable high-order randomized cubatures in arbitrary dimension
• 11h40-12h15 : Matthieu Dolbeault - Weighted least-squares for randomised L2 approximation
• lunch break
• 14h-14h50 : Luc Pronzato - Nested sampling designs with small covering radii
• 14h50-15h25 : Guillaume Perrin - Boosted optimal weighted least-squares for the approximation of high-dimensional functions in tree tensor networks
• break
• 15h45-16h20 : Philipp Trunschke - Convergence bounds for nonlinear least squares approximation
• 16h20-17h10 : Didier Henrion - Approximating discontinuous functions with the Christoffel-Darboux polynomial

Abstracts & Slides

Matthieu Dolbeault (Sorbonne Université, France)
Weighted least-squares for randomised $L^2$ approximation
Abstract / Slides

Didier Henrion (CNRS, Université de Toulouse, France) (web page)
Approximating discontinuous functions with the Christoffel-Darboux polynomial
Abstract / Slides

Giovanni Migliorati (Sorbonne Université, France) (web page)
Stable high-order randomized cubatures in arbitrary dimension
Abstract / Slides

Guillaume Perrin (Université Gustave Eiffel, France) (web page)
Boosted optimal weighted least-squares for the approximation of high-dimensional functions in tree tensor networks
Abstract / Slides

Luc Pronzato (CNRS & Univ. Côte d'Azur, France) (web page)
Nested sampling designs with small covering radii
Abstract / Slides

Philipp Trunschke (TU Berlin, Germany) (web page)
Convergence bounds for nonlinear least squares approximation
Abstract / Slides

Mario Ullrich (Johannes Kepler University, Linz, Austria and Moscow Center for Fundamental and Applied Mathematics, Moscow, Russia) (web page)
Function values are almost optimal for (deterministic) L2-approximation
Abstract / Slides

Support for attendance

The GdR Mascot-Num will support the attendance of doctoral and post-doctoral students in this event by providing grants that cover travel and accommodation costs.

People wishing to receive funding from the GdR must apply before February 2 to the address gdr-mascotnum-contact@services.cnrs.fr, specifying their institution and providing a CV.

The amount of grants will be determined according to the number of applications.