Title
Dynamic search trajectory methods for global optimization
Abstract
A detailed review of the dynamic search trajectory methods for global optimization is given. In addition, a family of dynamic search trajectories methods that are created using numerical methods for solving autonomous ordinary differential equations is presented. Furthermore, a strategy for developing globally convergent methods that is applicable to the proposed family of methods is given and the corresponding theorem is proved. Finally, theoretical results for obtaining nonmonotone convergent methods that exploit the accumulated information with regard to the most recent values of the objective function are given.
Year
DOI
Venue
2020
10.1007/s10472-019-09661-7
Annals of Mathematics and Artificial Intelligence
Keywords
Field
DocType
Dynamic search trajectories, Trajectory methods, Autonomous initial value problems, Globally convergent algorithms, Nonmonotone convergent strategies, Global optimization, Neural networks training, 65K05, 65K10, 65L05, 68T05, 68T20
Mathematical optimization,Global optimization,Ordinary differential equation,Exploit,Artificial intelligence,Numerical analysis,Trajectory,Machine learning,Mathematics
Journal
Volume
Issue
ISSN
88
1
1012-2443
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Stamatios-Aggelos N. Alexandropoulos111.70
Panos M. Pardalos214119.60
M.N. Vrahatis31740151.65