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        DEPARTMENT OF COMPUTER SCIENCE
          COLORADO STATE UNIVERSITY

                BARNEY'S
        MONDAY AFTERNOON CLUB SEMINAR

      Speaker:	Michael Kirby
		Associate Professor
		Department of Mathematics
		Colorado State University

	Date:	February 9, 1998
	Time:	4:00-5:00 p.m.
       Place:	100 USC

	Host:	Chuck Anderson
		anderson@cs.colostate.edu

         Refreshments:  following the talk

         A NEW APPROACH TO DATA REDUCTION

This talk will briefly review various approaches to 
dimensionality reduction of high-dimensional data 
sets and will then describe a new approach to this
problem which is based on picking projections of the 
high-dimensional system which are especially easy to 
invert. The talk will cover the basic theory of 
approach (essentially motivated by Whitney's 
embedding theorem), give an algorithm for finding the 
projections, discuss the construction of the inverse 
projection and illustrate the whole with some numer-
ical examples.

This work has been done in collaboration with Dave 
Broomhead, Department of Mathematics, UMIST, England.


The BMAC seminar schedule can be found by clicking on 
the "Upcoming Events" button on the Computer Science 
Department's web page at http://www.cs.colostate.edu/