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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.
 
Friday, February 21, 2003
9:00   Breakfast

9:30   Introduction
Jeff Hawkins, Carrie Grimes & Tony Bell

10:00   "Learning High Dimensional Correspondences from Low Dimensional Manifolds"
Lawrence Saul
University of Pennsylvania

10:45   "Multi-layer DCA, Data Manifolds, Statistical Physics and Visual Processing in the Brain"
Tony Bell
Redwood Neuroscience Institute

11:30   "ICA Using Spacings Estimates of Entropy"
Erik Miller
University of California at Berkeley

12-12:30   Discussion


12:30-2:00   Lunch


2:00   "Geometric Harmonics: Can One Hear the Shape of a Dataset?"
David Donoho
Stanford University

2:35   "Color Correction for Digital Cameras"
Brian Wandell & Jeffrey DiCarlo
Stanford University

3:10   "Rejection Based Classifier for Target Detection In Images"
Michael Elad
Stanford University

3:45   Break

4:15   "Exploratory Segmentation and Fitting of a 3D Surface"
John M. Agosta
Intel Corporation

4:50   "Learning Object-Independent Modes of Variation with Feature Flow Fields"
Erik Miller
University of California at Berkeley

 
Saturday, February 22, 2003
9:00   Breakfast

9:30   Introduction
Jeff Hawkins, Carrie Grimes & Tony Bell

10:00   "Function Estimation on Riemannian Manifolds"
Partha Niyogi
University of Chicago

10:45   "ISOMAP & LLE: Analysis of Recent Developments in Dimensional Reduction"
Carrie Grimes
Stanford University

11:30   "Topological Methods in Dimensionality Reduction"
Vin de Silva
Stanford University, Mathematics Department





 

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