Presentation 2014-01-21
Mathematical structures of optimal solutions in continuous optimization problems (3) : Estimation of the number of isolated local minima and the number of connected components of local minimal values sets
HIDEO KANEMITSU,
PDF Download Page PDF download Page Link
Abstract(in Japanese) (See Japanese page)
Abstract(in English) We show mathematical structures of optimal solutions in continuous optimization problem with continuous multivariate multimodal objective function: "minimize: f(x) subject to x∈S(closed bounded set). For this purpose, first, to examine the existence condition of the minimum point of the case of general functions and multivariate polynomial functions in unconstrained optimization problem. In addition, we have two evaluations as follows: 1) a evaluation of number of solution in case where all solutions are isolated local minima(i.e. finite number of local minima), 2) a evaluation of the number of connected components for all set of local minimal values set.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) optimal solutions / optimization problem / mathematical structure / multimodal function / optimization theory / nonlinear
Paper # NLP2013-129
Date of Issue

Conference Information
Committee NLP
Conference Date 2014/1/14(1days)
Place (in Japanese) (See Japanese page)
Place (in English)
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair
Vice Chair
Secretary
Assistant

Paper Information
Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Mathematical structures of optimal solutions in continuous optimization problems (3) : Estimation of the number of isolated local minima and the number of connected components of local minimal values sets
Sub Title (in English)
Keyword(1) optimal solutions
Keyword(2) optimization problem
Keyword(3) mathematical structure
Keyword(4) multimodal function
Keyword(5) optimization theory
Keyword(6) nonlinear
1st Author's Name HIDEO KANEMITSU
1st Author's Affiliation Hokkaido University of Education()
Date 2014-01-21
Paper # NLP2013-129
Volume (vol) vol.113
Number (no) 383
Page pp.pp.-
#Pages 6
Date of Issue