An adaptive consensus based method for multi-objective optimization with uniform Pareto front approximation
From MaRDI portal
Publication:6133674
DOI10.1007/s00245-023-10036-yarXiv2208.01362OpenAlexW4385723738MaRDI QIDQ6133674
Giacomo Borghi, Lorenzo Pareschi, Michael Herty
Publication date: 21 August 2023
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.01362
multi-objective optimizationmean-field limitgradient-free methodsstochastic particle methodsconsensus-based optimization
Multi-objective and goal programming (90C29) Derivative-free methods and methods using generalized derivatives (90C56) Numerical optimization and variational techniques (65K10) PDEs in connection with control and optimization (35Q93) PDEs in connection with mathematical programming (35Q90)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlocal-interaction equations on uniformly prox-regular sets
- Fast projection onto the simplex and the \(l_1\) ball
- On the worst-case optimal multi-objective global optimization
- Obtaining the efficient set of nonlinear biobjective optimization problems via interval branch-and-bound methods
- The crystallization conjecture: a review
- Large deviations techniques and applications.
- Multiple objective decision making - methods and applications. A state- of-the-art survey. In collaboration with Sudhakar R. Paidy and Kwangsun Yoon
- A steepest descent method for vector optimization
- Minimal Riesz energy point configurations for rectifiable \(d\)-dimensional manifolds
- A multi-objective \textbf{DIRECT} algorithm for ship hull optimization
- Consensus-based global optimization with personal best
- The nonlocal-interaction equation near attracting manifolds
- Binary interaction methods for high dimensional global optimization and machine learning
- Random batch methods (RBM) for interacting particle systems
- Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics
- Non-convex multi-objective optimization
- Swarming in domains with boundaries: approximation and regularization by nonlinear diffusion
- Convergence of the forward-backward algorithm: beyond the worst-case with the help of geometry
- An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
- Heterophilious Dynamics Enhances Consensus
- A consensus-based model for global optimization and its mean-field limit
- Newton's Method for Multiobjective Optimization
- An analytical framework for consensus-based global optimization method
- A consensus-based global optimization method for high dimensional machine learning problems
- Anisotropic Diffusion in Consensus-Based Optimization on the Sphere
- From particle swarm optimization to consensus based optimization: Stochastic modeling and mean-field limit
- Swarm Equilibria in Domains with Boundaries
- Binary Interaction Algorithms for the Simulation of Flocking and Swarming Dynamics
- Multicriteria Optimization
- Geometric Numerical Integration
- Evolutionary Multi-Criterion Optimization
- A fast algorithm for particle simulations
- On the mean‐field limit for the consensus‐based optimization
- Twenty years of continuous multiobjective optimization in the twenty-first century
- On the global convergence of particle swarm optimization methods
