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In this work we propose MirrorCBO, a consensus-based optimization (CBO) method which generalizes standard CBO in the same way that mirror descent generalizes gradient descent. For this we apply the CBO methodology to a swarm of dual…

Optimization and Control · Mathematics 2025-07-17 Leon Bungert , Franca Hoffmann , Dohyeon Kim , Tim Roith

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…

Optimization and Control · Mathematics 2021-11-23 Giacomo Borghi , Michael Herty , Lorenzo Pareschi

In this article using Cuckoo Optimization Algorithm and simple additive weighting method the hybrid COAW algorithm is presented to solve multi-objective problems. Cuckoo algorithm is an efficient and structured method for solving nonlinear…

Neural and Evolutionary Computing · Computer Science 2016-11-03 Zeinab Borhanifar , Elham Shadkam

In decision-making problems, the outcome of an intervention often depends on the causal relationships between system components and is highly costly to evaluate. In such settings, causal Bayesian optimization (CBO) can exploit the causal…

Machine Learning · Statistics 2025-02-21 Shriya Bhatija , Paul-David Zuercher , Jakob Thumm , Thomas Bohné

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

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…

Optimization and Control · Mathematics 2024-04-17 Junhyeok Byeon , Seung-Yeal Ha , Joong-Ho Won

In this work we are interested in stochastic particle methods for multi-objective optimization. The problem is formulated using parametrized, single-objective sub-problems which are solved simultaneously. To this end a consensus based…

Optimization and Control · Mathematics 2022-08-03 Giacomo Borghi , Michael Herty , Lorenzo Pareschi

In Causal Bayesian Optimization (CBO), an agent intervenes on an unknown structural causal model to maximize a downstream reward variable. In this paper, we consider the generalization where other agents or external events also intervene on…

Machine Learning · Computer Science 2023-08-02 Scott Sussex , Pier Giuseppe Sessa , Anastasiia Makarova , Andreas Krause

Recently a continuous description of the particle swarm optimization (PSO) based on a system of stochastic differential equations was proposed by Grassi and Pareschi in arXiv:2012.05613 where the authors formally showed the link between PSO…

Dynamical Systems · Mathematics 2022-04-07 Cristina Cipriani , Hui Huang , Jinniao Qiu

Optimistic methods have been applied with success to single-objective optimization. Here, we attempt to bridge the gap between optimistic methods and multi-objective optimization. In particular, this paper is concerned with solving…

Optimization and Control · Mathematics 2016-12-28 Abdullah Al-Dujaili , S. Suresh

This paper investigates a new hybridization of multi-objective particle swarm optimization (MOPSO) and cooperative agents (MOPSO-CA) to handle the problem of stagnation encounters in MOPSO, which leads solutions to trap in local optima. The…

Neural and Evolutionary Computing · Computer Science 2019-01-29 Najwa Kouka , Raja Fdhila , Adel M. Alimi

Particle Swarm Optimization (PSO) is a metaheuristic global optimization paradigm that has gained prominence in the last two decades due to its ease of application in unsupervised, complex multidimensional problems which cannot be solved…

Neural and Evolutionary Computing · Computer Science 2019-01-07 Saptarshi Sengupta , Sanchita Basak , Richard Alan Peters

Data clustering is a recognized data analysis method in data mining whereas K-Means is the well known partitional clustering method, possessing pleasant features. We observed that, K-Means and other partitional clustering techniques suffer…

Neural and Evolutionary Computing · Computer Science 2014-02-27 Jayshree Ghorpade-Aher , Vishakha A. Metre

In recent years, there has been significant research interest in solving Quadratic Unconstrained Binary Optimisation (QUBO) problems. Physics-inspired optimisation algorithms have been proposed for deriving optimal or sub-optimal solutions…

Artificial Intelligence · Computer Science 2023-09-12 Mayowa Ayodele , Richard Allmendinger , Manuel López-Ibáñez , Matthieu Parizy

Multi-objective optimisation problems involve finding solutions with varying trade-offs between multiple and often conflicting objectives. Ising machines are physical devices that aim to find the absolute or approximate ground states of an…

Artificial Intelligence · Computer Science 2023-05-22 Mayowa Ayodele , Richard Allmendinger , Manuel López-Ibáñez , Arnaud Liefooghe , Matthieu Parizy

The reliability redundancy allocation problem (RRAP) is a well-known tool in system design, development, and management. The RRAP is always modeled as a nonlinear mixed-integer non-deterministic polynomial-time hardness (NP-hard) problem.…

Neural and Evolutionary Computing · Computer Science 2020-06-18 Wei-Chang Yeh

Application of the multi-objective particle swarm optimisation (MOPSO) algorithm to design of water distribution systems is described. An earlier MOPSO algorithm is augmented with (a) local search, (b) a modified strategy for assigning the…

Neural and Evolutionary Computing · Computer Science 2019-03-15 Mahesh B. Patil , M. Naveen Naidu , A. Vasan , Murari R. R. Varma

This thesis is concerned with continuous, static, and single-objective optimization problems subject to inequality constraints. Nevertheless, some methods to handle other kinds of problems are briefly reviewed. The particle swarm…

Neural and Evolutionary Computing · Computer Science 2021-01-27 Mauro S. Innocente

any practical multiobjective optimization (MOO) problems include discrete decision variables and/or nonlinear model equations and exhibit disconnected or smooth but nonconvex Pareto surfaces. Scalarization methods, such as the weighted-sum…

Optimization and Control · Mathematics 2024-10-23 Ye Seol Lee , George Jackson , Amparo Galindo , Claire S. Adjiman

As the acquisition cost of the graphics processing unit (GPU) has decreased, personal computers (PC) can handle optimization problems nowadays. In optimization computing, intelligent swarm algorithms (SIAs) method is suitable for…

Neural and Evolutionary Computing · Computer Science 2021-10-05 Wei-Chang Yeh , Zhenyao Liu , Shi-Yi Tan , Shang-Ke Huang