Title
On pseudo gradient search for solving nonlinear multiregression with the Choquet integral
Abstract
The objective function in some real optimization problems may not be differentiable with respect to the unknown parameters at some points such that the gradient does not exist at those points. Replacing the classical gradient search, the method of pseudo gradient search has been proposed and used for solving nonlinear optimization problems, such as nonlinear multiregression based on the Choquet integral with a linear core. It is a local search with rapid search speed. To improve the search tactics, a random angle search in randomly selected dimensions is also involved. Our experiments show that the proposed pseudo gradient search is effective and efficient. It can be widely used for solving nonlinear optimization problems with continuous objective function.
Year
DOI
Venue
2013
10.1109/IFSA-NAFIPS.2013.6608534
IFSA/NAFIPS
Keywords
Field
DocType
optimisation,regression analysis,pseudo gradient search,search problems,gradient methods,nonlinear optimization,nonlinear multiregression,choquet integral,data mining,linear programming,genetic algorithms,optimization
Random search,Mathematical optimization,Gradient descent,Nonlinear programming,Line search,Nonlinear conjugate gradient method,Local search (optimization),Random optimization,Pattern search,Mathematics
Conference
Citations 
PageRank 
References 
0
0.34
4
Authors
3
Name
Order
Citations
PageRank
Bo Guo100.34
Li Zhang-Westman211.06
Zhenyuan Wang368490.22