Objective function "stretching" to alleviate convergence to local minima

Citation
Ke. Parsopoulos et al., Objective function "stretching" to alleviate convergence to local minima, NONLIN ANAL, 47(5), 2001, pp. 3419-3424
Citations number
8
Categorie Soggetti
Mathematics
Journal title
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN journal
0362546X → ACNP
Volume
47
Issue
5
Year of publication
2001
Part
5
Pages
3419 - 3424
Database
ISI
SICI code
0362-546X(200108)47:5<3419:OF"TAC>2.0.ZU;2-6
Abstract
This paper introduces a new technique for the alleviation of local minima i n minimization problems. The proposed "stretching" technique transforms the objective function by stretching upwards the neighborhood of a given point , and assists in eliminating local minima, while preserving the global ones . Experiments indicate that when a global search method converges to an und esired local minimum, the use of the new technique provides a way of escape and helps convergence to the global minimum.