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In this paper we provide a rigorous convergence analysis for the renowned particle swarm optimization method by using tools from stochastic calculus and the analysis of partial differential equations. Based on a time-continuous formulation…

Numerical Analysis · Mathematics 2024-08-05 Hui Huang , Jinniao Qiu , Konstantin Riedl

This paper preliminarily investigates the duality between flow matching in generative models and particle swarm optimization (PSO) in evolutionary computation. Through theoretical analysis, we reveal the intrinsic connections between these…

Neural and Evolutionary Computing · Computer Science 2025-07-29 Kaichen Ouyang

A new Adaptive Neuro Particle Swarm Optimization (ANPSO) combined with a fuzzy inference system for diagnosing disorders is presented in this paper. The main contributions of the novel proposed method can be a global search across the whole…

Neural and Evolutionary Computing · Computer Science 2019-10-31 Majid Masoumi , Mina Rajabi

Numerical optimization techniques are widely used in a broad area of science and technology, from finding the minimal energy of systems in Physics or Chemistry to finding optimal routes in logistics or optimal strategies for high speed…

Neural and Evolutionary Computing · Computer Science 2025-08-20 Yury Chernyak , Ijaz Ahamed Mohammad , Nikolas Masnicak , Matej Pivoluska , Martin Plesch

BPSO algorithm is a swarm intelligence optimization algorithm, which has the characteristics of good optimization effect, high efficiency and easy to implement. In recent years, it has been used to optimize a variety of machine learning and…

Neural and Evolutionary Computing · Computer Science 2024-07-26 Qing Zhao , Chengkui Zhang , Hao Li , Ting Ke

Particle swarm optimisation is a metaheuristic algorithm which finds reasonable solutions in a wide range of applied problems if suitable parameters are used. We study the properties of the algorithm in the framework of random dynamical…

Neural and Evolutionary Computing · Computer Science 2015-11-20 J. Michael Herrmann , Adam Erskine , Thomas Joyce

When using machine learning (ML) techniques, users typically need to choose a plethora of algorithm-specific parameters, referred to as hyperparameters. In this paper, we compare the performance of two algorithms, particle swarm…

Data Analysis, Statistics and Probability · Physics 2023-10-16 Laurits Tani , Christian Veelken

High-Dimensional and Incomplete matrices, which usually contain a large amount of valuable latent information, can be well represented by a Latent Factor Analysis model. The performance of an LFA model heavily rely on its optimization…

Machine Learning · Computer Science 2023-02-24 Jia Chen , Yixian Chun , Yuanyi Liu , Renyu Zhang , Yang Hu

In this work we survey some recent results on the global minimization of a non-convex and possibly non-smooth high dimensional objective function by means of particle based gradient-free methods. Such problems arise in many situations of…

Optimization and Control · Mathematics 2021-08-21 Sara Grassi , Hui Huang , Lorenzo Pareschi , Jinniao Qiu

A series of modified cognitive-only particle swarm optimization (PSO) algorithms effectively mitigate premature convergence by constructing distinct vectors for different particles. However, the underutilization of these constructed vectors…

Neural and Evolutionary Computing · Computer Science 2025-04-22 Zhenxing Zhang , Tianxian Zhang , Xiangliang Xu

Multi-step-ahead time series prediction is one of the most challenging research topics in the field of time series modeling and prediction, and is continually under research. Recently, the multiple-input several multiple-outputs (MISMO)…

Artificial Intelligence · Computer Science 2014-01-03 Yukun Bao , Tao Xiong , Zhongyi Hu

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

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

Gravitational Search Algorithm (GSA) and Particle Swarm Optimization (PSO) are nature-inspired, swarm-based optimization algorithms respectively. Though they have been widely used for single-objective optimization since their inception,…

Neural and Evolutionary Computing · Computer Science 2020-09-01 Devroop Kar , Manosij Ghosh , Ritam Guha , Ram Sarkar , Laura García-Hernández , Ajith Abraham

We propose PESA, a novel approach combining Particle Swarm Optimisation (PSO), Evolution Strategy (ES), and Simulated Annealing (SA) in a hybrid Algorithm, inspired from reinforcement learning. PESA hybridizes the three algorithms by…

Neural and Evolutionary Computing · Computer Science 2020-09-21 Majdi I. Radaideh , Koroush Shirvan

Making a simple model by choosing a limited number of features with the purpose of reducing the computational complexity of the algorithms involved in classification is one of the main issues in machine learning and data mining. The aim of…

Machine Learning · Computer Science 2018-11-22 Shahin Pourbahrami

Motion planning is an essential part of autonomous mobile platforms. A good pipeline should be modular enough to handle different vehicles, environments, and perception modules. The planning process has to cope with all the different…

This paper derives, under minimal modelling assumptions, a simple to use theorem for obtaining both order-$1$ and order-$2$ stability criteria for a common class of particle swarm optimization (PSO) variants. Specifically, PSO variants that…

Neural and Evolutionary Computing · Computer Science 2020-04-02 Christopher W Cleghorn , Belinda Stapelberg

Compared to other techniques, particle swarm optimization is more frequently utilized because of its ease of use and low variability. However, it is complicated to find the best possible solution in the search space in large-scale…

Neural and Evolutionary Computing · Computer Science 2024-03-19 Hamed Zibaei , Mohammad Saadi Mesgari

In this paper we enhance Generalized Self-Adapting Particle Swarm Optimization algorithm (GAPSO), initially introduced at the Parallel Problem Solving from Nature 2018 conference, and to investigate its properties. The research on GAPSO is…

Neural and Evolutionary Computing · Computer Science 2020-03-02 Michał Okulewicz , Mateusz Zaborski , Jacek Mańdziuk