MATHEMATICS COLLOQUIUM

DEPARTMENT OF MATHEMATICS
UNIVERSITY OF NEBRASKA AT OMAHA

 WHEN:
On Friday, March 29, 2002 at 2.30PM

WHERE:
Durham Science Center, Room 255

WHAT:

Zhenyuan Wang
University of Nebraska at Omaha

will give a talk on

A New Model of Nonlinear Multiregressions by Projection Pursuit Based on Generalized Choquet Integrals

Abstract:
A new nonlinear multiregression model is presented based on the generalized Choquet integral with respect to a signed fuzzy measure. In this model, the interaction among predictive attributes toward the objective attribute is depicted by a signed fuzzy measure. To guarantee the invariability of the multiregression under the scale variation and translation of the attributes, a respective linear transformation with unknown coefficients is applied to each attribute. All of these coefficients and the values of the signed fuzzy measure are optimally determined as the regression coefficients by running an adaptive genetic algorithm based on given data.

 

 


[Back]    Back to the Mathematics Colloquium Page
 
 
Last modified:   Thu Mar 14 19:28:53 CST 2002