Workshop on "Challenges in High-Dimensional Analysis and Computation"
San Servolo, Venice, Italy, May 2-6, 2016
Organizers: Gérard Biau (UPMC, Paris), Albert Cohen (UPMC, Paris),
Wolfgang Dahmen (RWTH, Aachen), Ronald DeVore (Texas A&M, College Station),
Yvon Maday (UPMC, Paris)
Supported by ERC AdV project BREAD and by
the excellence initiative of RWTH Aachen.
High dimensional problems are ubiquitous in an increasing number of areas
of scientific computing, including statistical or active learning theory,
parametric and stochastic partial differential equations, partial differential
equations in high dimensional phase space, parameter optimization in numerical
codes. Such problems are typically challenged by the curse of dimensionality
which means that the computational work needed to achieve a desired solution
quality increases exponentially in the spatial dimension. It is apparent that
the high demand from the applied world of efficient numerical methods for treating
such problems cannot be satisfied by existing conventional methods even if
significantly improved hardware capabilities were available. Instead truly novel
rigorously founded mathematical concepts seem to be required to meet these challenges.
The objective of this workshop is to gather experts from various areas - numerical
analysis, computational harmonic analysis, statistics, information based complexity,
approximation theory - initiating synergetic discussions and sharing views on the current
challenges and possible solutions for high-dimensional analysis and computational tasks.
The workshop takes place on San Servolo Island, a part of Venice International University (VIU),
which offers the unique combination of an isolated haven for academic meetings and
immediate closeness to the city of Venice.
List of participants (click on names for the slides):
Abdul-Lateef Haji Ali
Thi Hieu Luu
Sara Van de Geer