JSM 2004 - Toronto

Abstract #300280

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Activity Number: 167
Type: Invited
Date/Time: Monday, August 9, 2004 : 4:00 PM to 5:50 PM
Sponsor: ASA
Abstract - #300280
Title: The Romance of Hidden Components
Author(s): David L. Donoho*+
Companies: Stanford University
Address: Humanities and Sciences Statistics Dept., Stanford, CA, 94305,
Keywords:
Abstract:

Perhaps the most romantic and seductive idea in all of science is that, hiding behind the enormously complex structures we see in the world around us, there are hidden components that are, on the one hand, very simple and even elegant, and on the other hand easily combine to generate all the variety we see about us. Classical examples include Newton and the spectrum of light, eugenecists and the idea of IQ; modern examples include wavelets and quarks. I will review some of the classical ideas of hidden components, starting from principal components or even before, and describe some of the most recent notions, such as independent components analysis, sparse components analysis, nonnegative matrix factorizations, and cumulant components. I will try to keep things at an elementary level, communicating the attractiveness of these ideas to scientists and engineers outside of statistics, the wide-ranging impact these ideas are having from high-tech industry to neuroscience and astronomy, and describing what I think is the much greater role that statisticians should be playing in developing and deploying these methods.

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Revised March 2004