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Central Force Optimization is a deterministic metaheuristic for an evolutionary algorithm that searches a decision space by flying probes whose trajectories are computed using a gravitational metaphor. CFO benefits substantially from the…

Other Computer Science · Computer Science 2010-05-31 Richard A. Formato

This note compares the performance of two multidimensional search and optimization algorithms: Group Search Optimizer and Central Force Optimization. GSO is a new state-of-the-art algorithm that has gained some notoriety, consequently…

Other Computer Science · Computer Science 2010-05-31 Richard A. Formato

This note describes a parameter-free implementation of Central Force Optimization for deterministic multidimensional search and optimization. The user supplies only one input: the objective function to be maximized, nothing more. The CFO…

Other Computer Science · Computer Science 2010-05-31 Richard A. Formato

This note suggests that near earth objects and Central Force Optimization have something in common, that NEO theory may hold the key to solving some vexing problems in deterministic optimization: local trapping and proof of convergence. CFO…

Earth and Planetary Astrophysics · Physics 2009-12-09 Richard A. Formato

Central Force Optimization is a global search and optimization algorithm that searches a decision space by flying "probes" whose trajectories are deterministically computed using two equations of motion. Because it is possible for a probe…

Other Computer Science · Computer Science 2010-06-08 Richard A. Formato

This paper proposes a novel global optimization algorithm, Particle Filter-Based Optimization (PFO), designed for a class of stochastic optimization problems in which the objective function lacks an analytical form and is subject to noisy…

Optimization and Control · Mathematics 2025-06-23 Mostafa Eslami , Maryam Babazadeh

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…

Optimization and Control · Mathematics 2025-12-12 Sabrina Bonandin , Konstantin Riedl , Sara Veneruso

Designing a fast and efficient optimization method with local optima avoidance capability on a variety of optimization problems is still an open problem for many researchers. In this work, the concept of a new global optimization method…

Neural and Evolutionary Computing · Computer Science 2012-08-13 Fereydoun Farrahi Moghaddam , Reza Farrahi Moghaddam , Mohamed Cheriet

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…

Optimization and Control · Mathematics 2026-05-12 Massimo Fornasier , Peter Richtárik , Konstantin Riedl , Lukang Sun

For many applications of reinforcement learning it can be more convenient to specify both a reward function and constraints, rather than trying to design behavior through the reward function. For example, systems that physically interact…

Machine Learning · Computer Science 2017-05-31 Joshua Achiam , David Held , Aviv Tamar , Pieter Abbeel

We analyze a zeroth-order particle algorithm for the global optimization of a non-convex function, focusing on a variant of Consensus-Based Optimization (CBO) with small but fixed noise intensity. Unlike most previous studies restricted to…

Optimization and Control · Mathematics 2025-11-24 Pascal Bianchi , Radu-Alexandru Dragomir , Victor Priser

Fitness Dependent Optimizer (FDO) is a recent metaheuristic algorithm that mimics the reproduction behavior of the bee swarm in finding better hives. This algorithm is similar to Particle Swarm Optimization (PSO) but it works differently.…

Neural and Evolutionary Computing · Computer Science 2021-10-18 Hardi M. Mohammed , Tarik A. Rashid

Comparison-Based Optimization (CBO) is an optimization paradigm that assumes only very limited access to the objective function f(x). Despite the growing relevance of CBO to real-world applications, this field has received little attention…

Optimization and Control · Mathematics 2023-03-27 Isha Slavin , Daniel McKenzie

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…

Numerical Analysis · Mathematics 2026-05-28 Konstantin Riedl

Bayesian optimization is a class of data efficient model based algorithms typically focused on global optimization. We consider the more general case where a user is faced with multiple problems that each need to be optimized conditional on…

Machine Learning · Statistics 2020-11-04 Michael Pearce , Janis Klaise , Matthew Groves

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…

Optimization and Control · Mathematics 2026-02-13 Massimo Fornasier , Hui Huang , Jona Klemenc , Greta Malaspina

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…

Analysis of PDEs · Mathematics 2024-10-01 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…

Optimization and Control · Mathematics 2021-10-14 Hyeong-Ohk Bae , Seung-Yeal Ha , Myeongju Kang , Hyuncheul Lim , Chanho Min , Jane Yoo

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…

Numerical Analysis · Mathematics 2024-09-10 Massimo Fornasier , Timo Klock , Konstantin Riedl

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…

Optimization and Control · Mathematics 2026-01-13 Jonas Beddrich , Enis Chenchene , Massimo Fornasier , Hui Huang , Barbara Wohlmuth
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