Deriving efficient optimization methods based on stable explicit numerical methods
Author:
Affiliation:
1. Graduate School of Information Science and Technology, the University of Tokyo
Publisher
The Japan Society for Industrial and Applied Mathematics
Subject
General Engineering
Link
https://www.jstage.jst.go.jp/article/jsiaml/14/0/14_29/_pdf
Reference8 articles.
1. 1) A. A. Brown and M. C. Bartholomew-Biggs, Some effective methods for unconstrained optimization based on the solution of systems of ordinary differential equations, J. Optim. Theory Appl., 62 (1989), 211-224.
2. 2) C. A. Botsaris, A class of methods for unconstrained minimization based on stable numerical integration techniques, J. Math. Anal. Appl., 63 (1978), 729-749.
3. 3) W. Su, S. Boyd and E. J. Candès, A differential equation for modeling Nesterov's accelerated gradient method: theory and insights, J. Mach. Learn. Res., 17 (2016), 1-43.
4. 4) Y. Nesterov, Introductory Lectures on Convex Optimization, Springer, Boston, 2004.
5. 5) E. Hairer and G. Wanner, Solving Ordinary Differential Equations II, Springer, Berlin, 1996.
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