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Zero-order optimization has recently received significant attention for designing optimal trajectories and policies for robotic systems. However, most existing methods (e.g., MPPI, CEM, and CMA-ES) are local in nature, as they rely on…

Robotics · Computer Science 2026-02-09 Xudong Sun , Armand Jordana , Massimo Fornasier , Jalal Etesami , Majid Khadiv

In this paper we propose a variant of a consensus-based global optimization (CBO) method that uses personal best information in order to compute the global minimum of a non-convex, locally Lipschitz continuous function. The proposed…

Optimization and Control · Mathematics 2020-08-25 Claudia Totzeck , Marie-Therese Wolfram

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

Business optimization is becoming increasingly important because all business activities aim to maximize the profit and performance of products and services, under limited resources and appropriate constraints. Recent developments in…

Optimization and Control · Mathematics 2012-03-30 Xin-She Yang , Suash Deb , Simon Fong

We propose the Particle Swarm Optimization (PSO) as an alternative method for locating periodic orbits in a three--dimensional (3D) model of barred galaxies. We develop an appropriate scheme that transforms the problem of finding periodic…

Astrophysics · Physics 2009-11-10 Ch. Skokos , K. E. Parsopoulos , P. A. Patsis , M. N. Vrahatis

This work considers stochastic optimization problems in which the objective function values can only be computed by a blackbox corrupted by some random noise following an unknown distribution. The proposed method is based on sequential…

Optimization and Control · Mathematics 2023-08-15 Charles Audet , Jean Bigeon , Romain Couderc , Michael Kokkolaras

We introduce the Hamiltonian Monte Carlo Particle Swarm Optimizer (HMC-PSO), an optimization algorithm that reaps the benefits of both Exponentially Averaged Momentum PSO and HMC sampling. The coupling of the position and velocity of each…

Machine Learning · Computer Science 2022-06-29 Omatharv Bharat Vaidya , Rithvik Terence DSouza , Snehanshu Saha , Soma Dhavala , Swagatam Das

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

This paper proposes the use of particle swarm optimization method (PSO) for finite element (FE) model updating. The PSO method is compared to the existing methods that use simulated annealing (SA) or genetic algorithms (GA) for FE model for…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Tshilidzi Marwala

The optimal operation of electrical energy systems by solving a security constrained optimal power flow (SCOPF) problem is still a challenging research aspect. Especially, for conventional optimization methods like sequential quadratic…

Systems and Control · Electrical Eng. & Systems 2021-06-03 Marcel Sarstedt , Thomas Leveringhaus , Leonard Kluß , Lutz Hofmann

The paper introduces particle swarm optimization as a viable strategy to find numerical solution of Diophantine equation, for which there exists no general method of finding solutions. The proposed methodology uses a population of integer…

Neural and Evolutionary Computing · Computer Science 2010-03-16 Siby Abraham , Sugata Sanyal , Mukund Sanglikar

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

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…

Optimization and Control · Mathematics 2026-04-20 Haoyu Zhang , Yanting Ma , Ruangrawee Kitichotkul , Joshua Rapp , Petros Boufounos

Distributed Constraint Optimization Problems (DCOPs) are a widely studied framework for coordinating interactions in cooperative multi-agent systems. In classical DCOPs, variables owned by agents are assumed to be discrete. However, in many…

Multiagent Systems · Computer Science 2020-10-21 Moumita Choudhury , Amit Sarker , Md. Mosaddek Khan , William Yeoh

We develop qubit Hamiltonian single parameter estimation techniques using a Bayesian approach. The algorithms considered are restricted to projective measurements in a fixed basis, and are derived under the assumption that the qubit…

Quantum Physics · Physics 2012-10-17 Alexandr Sergeevich , Stephen D. Bartlett

Photon blockade in weak nonlinear regime is an exciting and promising subject that has been extensively studied in the steady state. However, how to achieve dynamic blockade in a single bosonic mode with weak nonlinearity using only pulsed…

Quantum Physics · Physics 2025-01-08 Guang-Yu Zhang , Zhi-Hao Liu , Xun-Wei Xu

In this paper we propose a novel artificial multi-swarm PSO which consists of an exploration swarm, an artificial exploitation swarm and an artificial convergence swarm. The exploration swarm is a set of equal-sized sub-swarms randomly…

Neural and Evolutionary Computing · Computer Science 2020-06-23 Haohao Zhou , Zhi-Hui Zhan , Zhi-Xin Yang , Xiangzhi Wei

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

Motivated by particle swarm optimization (PSO) and quantum computing theory, we have presented a quantum variant of PSO (QPSO) mutated with Cauchy operator and natural selection mechanism (QPSO-CD) from evolutionary computations. The…

Neural and Evolutionary Computing · Computer Science 2020-07-01 Amandeep Singh Bhatia , Mandeep Kaur Saggi , Shenggen Zheng , Soumya Ranjan Nayak

We reconsider stochastic convergence analyses of particle swarm optimisation, and point out that previously obtained parameter conditions are not always sufficient to guarantee mean square convergence to a local optimum. We show that…

Neural and Evolutionary Computing · Computer Science 2011-05-30 Per Kristian Lehre , Carsten Witt
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