The theory of evolution strategies
The theory of evolution strategies
Handbook of Evolutionary Computation
Handbook of Evolutionary Computation
Evolution strategies –A comprehensive introduction
Natural Computing: an international journal
An analysis of mutative σ-self-adaptation on linear fitness functions
Evolutionary Computation
Toward a theory of evolution strategies: Self-adaptation
Evolutionary Computation
Step length adaptation on ridge functions
Evolutionary Computation
On the Behaviour of the (1+1)-ES for a Simple Constrained Problem
Proceedings of the 10th international conference on Parallel Problem Solving from Nature: PPSN X
Mutative self-adaptation on the sharp and parabolic ridge
FOGA'07 Proceedings of the 9th international conference on Foundations of genetic algorithms
On the behaviour of the (1,λ)-es for a simple constrained problem
Proceedings of the 11th workshop proceedings on Foundations of genetic algorithms
Analysis of a repair mechanism for the (1,λ)-ES applied to a simple constrained problem
Proceedings of the 13th annual conference on Genetic and evolutionary computation
Searching for balance: understanding self-adaptation on ridge functions
PPSN'06 Proceedings of the 9th international conference on Parallel Problem Solving from Nature
On the behaviour of the (1, λ)-es for a conically constrained problem
Proceedings of the 15th annual conference on Genetic and evolutionary computation
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This paper analyses the behaviour of the (1,λ)-σSA-ES with deterministic two-point rule when applied to a linear problem with a single linear constraint. Equations that describe the single-step behaviour of the strategy are derived and then used to predict the strategy's multi-step behaviour. The findings suggest that mutative self-adaptation will result in convergence of the (1,λ)-ES to non-stationary points if the angle between the gradient vector of the objective function and the normal vector of the constraint plane is small. Comparisons with the behaviour of evolution strategies that employ other step size adaptation mechanisms are drawn.