Kinetic-based optimization enhanced by genetic dynamics

DOI10.1142/s0218202523500641arXiv2306.09199OpenAlexW4387769104MaRDI QIDQ6125057

Federica Ferrarese, Claudia Totzeck, Giacomo Albi

Publication date: 11 April 2024

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.09199

zbMATH Keywords

global optimizationmean-field limitBoltzmann equationsparticle-based methodsconsensus-based optimization

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Derivative-free methods and methods using generalized derivatives (90C56) Boltzmann equations (35Q20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global optimization using a genetic algorithm with hierarchically structured population
• A literature survey of benchmark functions for global optimisation problems
• Genetic algorithms: An overview
• Consensus-based global optimization with personal best
• Boltzmann-type equations for multi-agent systems with label switching
• Binary interaction methods for high dimensional global optimization and machine learning
• Flocking dynamics and mean-field limit in the Cucker-Smale-type model with topological interactions
• An introduction to Monte Carlo method for the Boltzmann equation
• Heterophilious Dynamics Enhances Consensus
• A consensus-based model for global optimization and its mean-field limit
• Particle, kinetic, and hydrodynamic models of swarming
• Consensus-based optimization on hypersurfaces: Well-posedness and mean-field limit
• An analytical framework for consensus-based global optimization method
• Optimization Methods for Large-Scale Machine Learning
• Leader formation with mean-field birth and death models
• Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives
• A consensus-based global optimization method for high dimensional machine learning problems
• What is life? A perspective of the mathematical kinetic theory of active particles
• Trends in Consensus-Based Optimization
• Towards a mathematical theory of behavioral human crowds
• A Consensus-Based Global Optimization Method with Adaptive Momentum Estimation
• From particle swarm optimization to consensus based optimization: Stochastic modeling and mean-field limit
• Binary Interaction Algorithms for the Simulation of Flocking and Swarming Dynamics
• Constrained Consensus-Based Optimization
• Consensus-based optimization via jump-diffusion stochastic differential equations

This page was built for publication: Kinetic-based optimization enhanced by genetic dynamics