Loading...
Organizing Committee
Universite de Paris VI (Pierre et Marie Curie)
Texas A&M International University (TAMIU)
University of Wisconsin
University of South Carolina
University of Texas at Austin
Abstract
The workshop is devoted to the following problem of fundamental importance throughout science and engineering: how to approximate, integrate, or optimize multivariate functions.
The breakthroughs demanded by high dimensional problems may be at hand. Good methods of approximation arise as solutions of optimization problems over certain function classes that are now well understood in small and modesty large dimensions.
In high dimensions, the appropriate models involve sparse representations, which give rise to issues in nonlinear approximation methods such as greedy approximation. High dimensional optimization problems become intractable to solve exactly, but substantial gains in efficiency can be made by allowing for a small probability of failure (probabilistic recovery guarantees), and by seeking approximate solutions (up to a pre-specified threshold) rather than exact solutions. The contemporary requirements of numerical analysis connect approximation, optimization, and probabilistic analysis.
The workshop will bring together leading experts in approximation, compressed sensing and optimization.
The breakthroughs demanded by high dimensional problems may be at hand. Good methods of approximation arise as solutions of optimization problems over certain function classes that are now well understood in small and modesty large dimensions.
In high dimensions, the appropriate models involve sparse representations, which give rise to issues in nonlinear approximation methods such as greedy approximation. High dimensional optimization problems become intractable to solve exactly, but substantial gains in efficiency can be made by allowing for a small probability of failure (probabilistic recovery guarantees), and by seeking approximate solutions (up to a pre-specified threshold) rather than exact solutions. The contemporary requirements of numerical analysis connect approximation, optimization, and probabilistic analysis.
The workshop will bring together leading experts in approximation, compressed sensing and optimization.
Image courtesy of Gerhard Zumbusch
Loading...
Loading participant list in background...
Workshop Schedule
Monday, September 29, 2014
8:30 - 8:55 AM EDT
Registration: Approximation, Integration, and Optimization Workshop
Location: 11th Floor Collaborative Space
8:55 - 9:00 AM EDT
Welcome - ICERM Director
Location: 11th Floor Lecture Hall
10:50 - 11:10 AM EDT
Coffee/Tea Break
Location: 11th Floor Collaborative Space
12:05 - 1:50 PM EDT
Break for lunch
3:40 - 4:00 PM EDT
Coffee/Tea Break
Location: 11th Floor Lecture Hall
4:55 - 6:30 PM EDT
Welcome reception
Location: 11th Floor Collaborative Space
Lecture Videos
Ian Sloan
University New South Wales
September 30, 2014 • 12:00 AM
Anthony Nouy
Universite de Nantes
October 3, 2014 • 12:00 AM
Maryam Fazel
University of Washington
October 2, 2014 • 12:00 AM
Maryam Fazel
University of Washington
September 29, 2014 • 12:00 AM
Maryam Fazel
University of Washington
September 30, 2014 • 12:00 AM
