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Upcoming Meetings:
Title:
Connection between Differential Geometry and
Estimation Theory for Polynomial Nonlinearity in 2D
Speaker:
Mahendra Mallick, PhD
Date:
July 6,2010
Time:
12:00 PM
Place:
CCRF
Building 1 Room 107
directions
Food:
11:30 AM
Abstract:
A relationship between differential geometry and estimation theory was lacking until the work of
Bates and Watts in the context of nonlinear parameter estimation. They used differential
geometry based curvature measures of nonlinearity (CMoN), namely, the parameter-effects and
intrinsic curvatures to quantify the degree of nonlinearity of a general multi-dimensional
nonlinear parameter estimation problem. However, they didn’t establish a relationship between
CMoN and the curvature in differential geometry. We consider a polynomial curve in two
dimensions and for the first time show analytically and through Monte Carlo simulations that
affine mappings with positive slopes exist among the logarithm of the curvature in differential
geometry, Bates and Watts CMoN, and mean square error.
Connection between Differential Geometry and Estimation Theory for Polynomial Nonlinearity in 2D
For more information: Contact Mahendra Mallick at
mahendra.mallick@gtri.gatech.edu, 404-407-8711.
2010 Chapter Officers
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GTRI - Georgia
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