Linear Convergence Rate Analysis of the (1+1)-ES on Locally Strongly Convex and Lipschitz Smooth Functions

Author:

Morinaga Daiki12ORCID,Fukuchi Kazuto12ORCID,Sakuma Jun34ORCID,Akimoto Youhei12ORCID

Affiliation:

1. University of Tsukuba, Tsukuba, Japan

2. RIKEN AIP, Tsukuba, Japan

3. Tokyo Institute of Technology, Meguro-ku, Japan

4. RIKEN AIP, Meguro-ku, Japan

Funder

JSPS KAKENHI

Publisher

ACM

Reference8 articles.

1. Drift theory in continuous search spaces

2. Anne Auger and Nikolaus Hansen. 2013. Linear convergence on positively homogeneous functions of a comparison based step-size adaptive randomized search: the (1+1) ES with generalized one-fifth success rule. arXiv preprint arXiv:1310.8397 (2013).

3. Nikolaus Hansen and Andreas Ostermeier. 2001. Completely derandomized self-adaptation in evolution strategies. Evolutionary computation 9, 2 (2001), 159--195.

4. How the (1+1) ES using isotropic mutations minimizes positive definite quadratic forms

5. Convergence rate of the (1+1)-evolution strategy with success-based step-size adaptation on convex quadratic functions

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