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Optimization of conflicting functions is of paramount importance in decision making, and real world applications frequently involve data that is uncertain or unknown, resulting in multi-objective optimization (MOO) problems of stochastic…

Numerical Analysis · Mathematics 2021-02-08 Suyun Liu , Luis Nunes Vicente

In this paper, a novel and generic multi-objective design paradigm is proposed which utilizes quantum-behaved PSO(QPSO) for deciding the optimal configuration of the LQR controller for a given problem considering a set of competing…

Neural and Evolutionary Computing · Computer Science 2016-07-05 Kaveh Hassani , Won-Sook Lee

An optimization algorithm for nonsmooth nonconvex constrained optimization problems with upper-C2 objective functions is proposed and analyzed. Upper-C2 is a weakly concave property that exists in difference of convex (DC) functions and…

Optimization and Control · Mathematics 2022-04-21 Jingyi Wang , Cosmin G. Petra

Robust optimisation is a well-established framework for optimising functions in the presence of uncertainty. The inherent goal of this problem is to identify a collection of inputs whose outputs are both desirable for the decision maker,…

Optimization and Control · Mathematics 2025-05-27 Ben Tu , Nikolas Kantas , Robert M. Lee , Behrang Shafei

Inspired by biological swarms, robotic swarms are envisioned to solve real-world problems that are difficult for individual agents. Biological swarms can achieve collective intelligence based on local interactions and simple rules; however,…

Robotics · Computer Science 2017-09-21 Qiyang Li , Xintong Du , Yizhou Huang , Quinlan Sykora , Angela P. Schoellig

This paper presents a new algorithm named spherical vector-based particle swarm optimization (SPSO) to deal with the problem of path planning for unmanned aerial vehicles (UAVs) in complicated environments subjected to multiple threats. A…

Neural and Evolutionary Computing · Computer Science 2021-04-21 Manh Duong Phung , Quang Phuc Ha

We propose a surrogate-assisted reference vector adaptation (SRVA) method to solve expensive multi- and many-objective optimization problems with various Pareto front shapes. SRVA is coupled with a multi-objective Bayesian optimization…

Machine Learning · Computer Science 2021-10-12 Nobuo Namura

In contrast to single-objective optimization (SOO), multi-objective optimization (MOO) requires an optimizer to find the Pareto frontier, a subset of feasible solutions that are not dominated by other feasible solutions. In this paper, we…

Machine Learning · Computer Science 2024-08-13 Yiyang Zhao , Linnan Wang , Kevin Yang , Tianjun Zhang , Tian Guo , Yuandong Tian

A novel distributed algorithm is proposed for finite-time converging to a feasible consensus solution satisfying global optimality to a certain accuracy of the distributed robust convex optimization problem (DRCO) subject to bounded…

Optimization and Control · Mathematics 2023-09-06 Xunhao Wu , Jun Fu

This paper introduces a probabilistic guidance approach for the swarm-to-swarm engagement problem. The idea is based on driving the controlled swarm towards an adversary swarm, where the adversary swarm aims to converge to a stationary…

Optimization and Control · Mathematics 2020-12-04 Samet Uzun , Nazim Kemal Ure

Many problems in robotics seek to simultaneously optimize several competing objectives under constraints. A conventional approach to solving such multi-objective optimization problems is to create a single cost function comprised of the…

Robotics · Computer Science 2022-06-02 Alexander Botros , Armin Sadeghi , Nils Wilde , Javier Alonso-Mora , Stephen L. Smith

A Particle Swarm Optimizer for the search of balanced Boolean functions with good cryptographic properties is proposed in this paper. The algorithm is a modified version of the permutation PSO by Hu, Eberhart and Shi which preserves the…

Neural and Evolutionary Computing · Computer Science 2024-01-10 Luca Mariot , Alberto Leporati , Luca Manzoni

Consensus-based optimization (CBO) has established itself as an efficient gradient-free optimization scheme, with attractive mathematical properties, such as mean-field convergence results for non-convex loss functions. In this work, we…

Optimization and Control · Mathematics 2025-07-01 Tim Roith , Leon Bungert , Philipp Wacker

The goal of multi-objective optimization is to understand optimal trade-offs between competing objective functions by finding the Pareto front, i.e., the set of all Pareto optimal solutions, where no objective can be improved without…

For the purpose of addressing the multi-objective optimal reactive power dispatch (MORPD) problem, a two-step approach is proposed in this paper. First of all, to ensure the economy and security of the power system, the MORPD model aiming…

Optimization and Control · Mathematics 2020-03-06 Meng Zhang , Yang Li

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…

Optimization and Control · Mathematics 2019-10-21 Seung-Yeal Ha , Shi Jin , Doheon Kim

In this paper, we provide a novel analytical perspective on the theoretical understanding of gradient-based learning algorithms by interpreting consensus-based optimization (CBO), a recently proposed multi-particle derivative-free…

Machine Learning · Computer Science 2026-03-02 Konstantin Riedl , Timo Klock , Carina Geldhauser , Massimo Fornasier

Recent advances in learnable evolutionary algorithms have demonstrated the importance of leveraging population distribution information and historical evolutionary trajectories. While significant progress has been made in continuous…

Neural and Evolutionary Computing · Computer Science 2024-12-10 Jiaxiang Huang , Licheng Jiao

Constrained single-objective problems have been frequently tackled by evolutionary multi-objective algorithms where the constraint is relaxed into an additional objective. Recently, it has been shown that Pareto optimization approaches…

Neural and Evolutionary Computing · Computer Science 2024-06-10 Frank Neumann , Carsten Witt

The present study aimed to solve the cure optimization problem of laminated composites through a statistical approach. The approach consisted of using constrained Bayesian Optimization (cBO) along with a Gaussian process model as a…

Applications · Statistics 2025-06-02 Madhura Limaye , Yezhuo Li , Qiong Zhang , Gang Li
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