Modeling genetic algorithms with interacting particle systems

DOI10.15517/rmta.v8i2.201zbMATH Open1547.68884MaRDI QIDQ6597100

Pierre Del Moral, Leila Kallel, Jeff Rowe

Publication date: 3 September 2024

Published in: Revista de Matemática: Teoría y Aplicaciones (Search for Journal in Brave)

zbMATH Keywords

genetic algorithmsFeynman-Kac formulainteracting particle systemsmeasure-valued processesasymptotical convergence

Mathematics Subject Classification ID

Evolutionary algorithms, genetic algorithms (computational aspects) (68W50)

Cites Work

• The dynamics of a genetic algorithm for simple random Ising systems
• Generalizing the notion of schema in genetic algorithms
• Measure-valued processes and interacting particle systems. Application to nonlinear filtering problems
• Modeling genetic algorithms with Markov chains.
• Finite populations induce metastability in evolutionary search.
• Cycle Decompositions and Simulated Annealing
• On Quasi-Stationary distributions in absorbing discrete-time finite Markov chains
• Diffusion models in population genetics
• Outline for a Logical Theory of Adaptive Systems
• On the Probability Theory of Linkage in Mendelian Heredity
• Convergence of empirical processes for interacting particle systems with applications to nonlinear filtering
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