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20112024
most citedMarkov Chain Analysis of Cumulative Step-size Adaptation on a Linear Constrained Problem

1.8k citations · 3.2k across the 23 of their papers we have counts for

collaborators

25 papers

math.NA2024

Asymptotic estimations of a perturbed symmetric eigenproblem

Armand Gissler, Anne Auger, Nikolaus Hansen

We study ill-conditioned positive definite matrices that are disturbed by the sum of rank-one matrices of a specific form. We provide estimates for the eigenvalues and eigenvec…

math.OC2021

Global linear convergence of Evolution Strategies with recombination on scaling-invariant functions

Cheikh Touré, Anne Auger, Nikolaus Hansen

Evolution Strategies (ES) are stochastic derivative-free optimization algorithms whose most prominent representative, the CMA-ES algorithm, is widely used to solve difficult numeri…

math.OC2021

Scaling-invariant functions versus positively homogeneous functions

Cheikh Touré, Armand Gissler, Anne Auger +1

Scaling-invariant functions preserve the order of points when the points are scaled by the same positive scalar (with respect to a unique reference point). Composites of strictly m…

cs.NE2019

Diagonal Acceleration for Covariance Matrix Adaptation Evolution Strategies

Youhei Akimoto, Nikolaus Hansen

We introduce an acceleration for covariance matrix adaptation evolution strategies (CMA-ES) by means of adaptive diagonal decoding (dd-CMA). This diagonal acceleration endows the d…

math.OC2019★ 17 cited

Uncrowded Hypervolume Improvement: COMO-CMA-ES and the Sofomore framework

Cheikh Touré, Nikolaus Hansen, Anne Auger +1

We present a framework to build a multiobjective algorithm from single-objective ones. This framework addresses the -dimensional problem of finding p solutions in an n-…

math.OC2019★ 11 cited

COCO: The Large Scale Black-Box Optimization Benchmarking (bbob-largescale) Test Suite

Ouassim Elhara, Konstantinos Varelas, Duc Nguyen +4

The bbob-largescale test suite, containing 24 single-objective functions in continuous domain, extends the well-known single-objective noiseless bbob test suite, which has been use…