Scaling-invariant Functions versus Positively Homogeneous Functions

Author:

Toure Cheikh,Gissler Armand,Auger Anne,Hansen Nikolaus

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Reference18 articles.

1. Aczél, J.: Lectures on Functional Equations and Their Applications. Academic Press, New York (1966)

2. Auger, A., Hansen, N.: 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 e-prints 1310.8397 [cs.NA] (2013)

3. Auger, A., Hansen, N.: Linear convergence of comparison-based step-size adaptive randomized search via stability of Markov chains. SIAM J. Optim. 26(3), 1589–1624 (2016)

4. Buskes, G., van Rooij, A.: Topological Spaces. Springer, New York (1997)

5. Chotard, A., Auger, A.: Verifiable conditions for the irreducibility and aperiodicity of Markov chains by analyzing underlying deterministic models. Bernoulli 25(1), 112–147 (2019)

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Global linear convergence of evolution strategies with recombination on scaling-invariant functions;Journal of Global Optimization;2022-11-01

2. Learning rate adaptation by line search in evolution strategies with recombination;Proceedings of the Genetic and Evolutionary Computation Conference;2022-07-08

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