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相关论文: MirrorCBO: A consensus-based optimization method i…

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In this paper, we study consensus-based optimization (CBO), which is a multi-agent metaheuristic derivative-free optimization method that can globally minimize nonconvex nonsmooth functions and is amenable to theoretical analysis. Based on…

数值分析 · 数学 2024-09-10 Massimo Fornasier , Timo Klock , Konstantin Riedl

In this paper, we are interested in finding the global minimizer of a nonsmooth nonconvex unconstrained optimization problem. By combining the discrete consensus-based optimization (CBO) algorithm and the gradient descent method, we develop…

最优化与控制 · 数学 2025-01-16 Jiazhen Wei , Fan Wu , Wei Bian

We propose a variant of consensus-based optimization (CBO) algorithms, controlled-CBO, which introduces a feedback control term to improve convergence towards global minimizers of non-convex functions in multiple dimensions. The feedback…

最优化与控制 · 数学 2025-07-29 Yuyang Huang , Michael Herty , Dante Kalise , Nikolas Kantas

Consensus-based optimization (CBO) is a multi-agent metaheuristic derivative-free optimization algorithm that has proven to be capable of globally minimizing nonconvex nonsmooth functions across a diverse range of applications while being…

最优化与控制 · 数学 2025-12-12 Sabrina Bonandin , Konstantin Riedl , Sara Veneruso

Consensus-based optimization (CBO) is a powerful and versatile zero-order multi-particle method designed to provably solve high-dimensional global optimization problems, including those that are genuinely nonconvex or nonsmooth. The method…

最优化与控制 · 数学 2026-02-13 Massimo Fornasier , Hui Huang , Jona Klemenc , Greta Malaspina

In this paper, we focus on finding the global minimizer of a general unconstrained nonsmooth nonconvex optimization problem. Taking advantage of the smoothing method and the consensus-based optimization (CBO) method, we propose a novel…

最优化与控制 · 数学 2025-01-14 Jiazhen Wei , Wei Bian

Lately, a novel swarm intelligence model, namely the consensus-based optimization (CBO) algorithm, was introduced to deal with the global optimization problems. Limited by the conditions of Ito's formula, the convergence analysis of the…

最优化与控制 · 数学 2025-01-14 Jiazhen Wei , Wei Bian

A novel multiscale consensus-based optimization (CBO) algorithm for solving bi- and tri-level optimization problems is introduced. Existing CBO techniques are generalized by the proposed method through the employment of multiple interacting…

最优化与控制 · 数学 2025-06-23 Michael Herty , Yuyang Huang , Dante Kalise , Hicham Kouhkouh

Consensus-based optimization (CBO) is a versatile multi-particle metaheuristic optimization method suitable for performing nonconvex and nonsmooth global optimizations in high dimensions. It has proven effective in various applications…

最优化与控制 · 数学 2026-05-12 Massimo Fornasier , Peter Richtárik , Konstantin Riedl , Lukang Sun

In this paper we study anisotropic consensus-based optimization (CBO), a multi-agent metaheuristic derivative-free optimization method capable of globally minimizing nonconvex and nonsmooth functions in high dimensions. CBO is based on…

数值分析 · 数学 2024-03-26 Massimo Fornasier , Timo Klock , Konstantin Riedl

Consensus-based optimization (CBO) is an agent-based derivative-free method for non-smooth global optimization that has been introduced in 2017, leveraging a surprising interplay between stochastic exploration and Laplace principle. In…

偏微分方程分析 · 数学 2024-10-01 Massimo Fornasier , Lukang Sun

This paper introduces an interacting-particle optimization method tailored to possibly non-convex composite optimization problems, which arise widely in signal processing. The proposed method, \emph{ProxiCBO}, integrates consensus-based…

最优化与控制 · 数学 2026-04-20 Haoyu Zhang , Yanting Ma , Ruangrawee Kitichotkul , Joshua Rapp , Petros Boufounos

We propose Discrete Consensus-Based Optimization (DCBO), a fully discrete version of the Consensus-Based Optimization (CBO) framework. DCBO is a multi-agent method for the global optimization of possibly non-convex and non-differentiable…

最优化与控制 · 数学 2024-04-17 Junhyeok Byeon , Seung-Yeal Ha , Joong-Ho Won

In this paper we study consensus-based optimization (CBO), a versatile, flexible and customizable optimization method suitable for performing nonconvex and nonsmooth global optimizations in high dimensions. CBO is a multi-particle…

数值分析 · 数学 2026-05-28 Konstantin Riedl

In this work we are interested in the construction of numerical methods for high dimensional constrained nonlinear optimization problems by particle-based gradient-free techniques. A consensus-based optimization (CBO) approach combined with…

最优化与控制 · 数学 2021-11-23 Giacomo Borghi , Michael Herty , Lorenzo Pareschi

Global optimization of a non-convex objective function often appears in large-scale machine-learning and artificial intelligence applications. Recently, consensus-based optimization (in short CBO) methods have been introduced as one of the…

最优化与控制 · 数学 2019-10-21 Seung-Yeal Ha , Shi Jin , Doheon Kim

Consensus-based optimization (CBO) is a versatile multi-particle optimization method for performing nonconvex and nonsmooth global optimizations in high dimensions. Proofs of global convergence in probability have been achieved for a broad…

最优化与控制 · 数学 2026-01-13 Jonas Beddrich , Enis Chenchene , Massimo Fornasier , Hui Huang , Barbara Wohlmuth

The mirror descent algorithm is known to be effective in situations where it is beneficial to adapt the mirror map to the underlying geometry of the optimization model. However, the effect of mirror maps on the geometry of distributed…

最优化与控制 · 数学 2024-03-13 Anastasia Borovykh , Nikolas Kantas , Panos Parpas , Grigorios A. Pavliotis

Introduced in 2017 \cite{B1-pinnau2017consensus}, Consensus-Based Optimization (CBO) has rapidly emerged as a significant breakthrough in global optimization. This straightforward yet powerful multi-particle, zero-order optimization method…

偏微分方程分析 · 数学 2025-05-29 Massimo Fornasier , Lukang Sun

In this paper, we propose a predictor-corrector type Consensus Based Optimization (CBO) algorithm on a convex feasible set. Our proposed algorithm generalizes the CBO algorithm in [11] to tackle a constrained optimization problem for the…

最优化与控制 · 数学 2021-10-14 Hyeong-Ohk Bae , Seung-Yeal Ha , Myeongju Kang , Hyuncheul Lim , Chanho Min , Jane Yoo
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