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The island model as a Markov dynamic system

Robert SchaeferAleksander ByrskiMaciej Smołka — 2012

International Journal of Applied Mathematics and Computer Science

Parallel multi-deme genetic algorithms are especially advantageous because they allow reducing the time of computations and can perform a much broader search than single-population ones. However, their formal analysis does not seem to have been studied exhaustively enough. In this paper we propose a mathematical framework describing a wide class of island-like strategies as a stationary Markov chain. Our approach uses extensively the modeling principles introduced by Vose, Rudolph and their collaborators....

An agent-oriented hierarchic strategy for solving inverse problems

Maciej SmołkaRobert SchaeferMaciej PaszyńskiDavid PardoJulen Álvarez-Aramberri — 2015

International Journal of Applied Mathematics and Computer Science

The paper discusses the complex, agent-oriented hierarchic memetic strategy (HMS) dedicated to solving inverse parametric problems. The strategy goes beyond the idea of two-phase global optimization algorithms. The global search performed by a tree of dependent demes is dynamically alternated with local, steepest descent searches. The strategy offers exceptionally low computational costs, mainly because the direct solver accuracy (performed by the hp-adaptive finite element method) is dynamically...

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