Multiscale Geometry and Analysis in High Dimensions

MGA Workshop III: Multiscale structures in the analysis of High-Dimensional Data

October 25 - 29, 2004

Organizing Committee:

Naoki Saito, Chair (University of California at Davis)
Ronald Coifman (Yale University)
David Donoho (Stanford University)
Mark Hansen (UCLA)
Peter Jones (Yale University)

Scientific Background

There is an ever-expanding range of applications areas where analysis of very high-dimensional datasets lies at the heart of the matter. Relatively little is known about the structure of naturally-occurring high-dimensional data, and there are enormous opportunities for high-impact discovery. Recently, a number of researchers have pointed out the relevance of multiscale approaches to understanding high-dimensional data. For example, some data manifolds, such as image manifolds, are inherently multiscale, and some methods, such as density estimation in high dimensions, can profit greatly by multiscale representations.

In this workshop we will explore the interactions between multiscale thinking and high-dimensional data, and we hope to bring together experts from classical machine learning, spectral graph theory, and visualization and sonification of high dimensional data, etc.

Topics to be covered include:

Structure of high-dimensional data manifolds
Multiscale structures in high-dimensional data
Methods for dimensionality reduction
Relations between machine learning, statistical and math analysis viewpoints.
Visualization and sonification
Multiscale Computational Algorithms

Speakers

Yair Bartal (Hebrew University, Jerusalem, Israel)
Jonathan Berger (Stanford University)
Matthew Brand (Mitsubishi ERL)
Ronald Coifman (Yale University)
Vin de Silva (Stanford University)
David Donoho (Stanford University)
Alexander Gray (Carnegie Mellon University)
Leonidas Guibas (Stanford University)
Thomas Hermann (Bielefeld University, Germany)
Alfred Hero (University of Michigan)
Natalie Jeremijenko (University of California at San Diego)
Peter Jones (Yale University)
Michael Jordan (University of California at Berkeley)
Michael Kirby (Colorado State University)
Michael Mahoney (Yale University)
Gerard Medioni (University of Southern California)
Assaf Naor (Microsoft Research)
Partha Niyogi (University of Chicago)
Robert Nowak
Brad Paley (Digital Image Design)
Carey Priebe (Johns Hopkins University)
Guillermo Sapiro (University of Minnesota)
Lawrence Saul (University of Pennsylvania)
Werner Stuetzle (University of Washington)
Leland Wilkinson (SPSS and Northwestern)
Hongyuan Zha (Pennsylvania State University)

Contact Us:

Institute for Pure and Applied Mathematics (IPAM)
Attn: MGAWS3
460 Portola Plaza
Los Angeles CA 90095-7121
Phone: 310 825-4755
Fax: 310 825-4756
Email: ipam@ucla.edu
Website: http://www.ipam.ucla.edu/programs/mgaws3/

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