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HIGH-DIMENSIONAL DATA DAYS Friday and Saturday, February 21-22, 2003 Neurons deal with 10^3 to 10^5 inputs, most likely representing the relevant probability distributions in the brain’s sensory-motor world with their combined activity. Similar high-dimensional data arise, for example, with traffic patterns on the web, or in image databases. The ability to accurately learn a low-dimensional parameterization from high-dimensional data, and possibly to patch together a ‘manifold’, could revolutionize our understanding of the representational apparatus of the brain, and, for example, speed up web search engines through the use of a cached representation. Methodologies to address these high-dimensional problems are being developed in many different disciplines from psychology to computer science. This one day workshop features talks on foundational principles, representational techniques and discussion of future directions and problems, particularly the cross-disciplinary fertilization of neural representation theories by advanced machine learning techniques involving probabilistic learning, group theory and differential geometry.
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