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Particle Swarm Optimization (PSO) is a popular nature-inspired meta-heuristic for solving continuous optimization problems. Although this technique is widely used, the understanding of the mechanisms that make swarms so successful is still…

Neural and Evolutionary Computing · Computer Science 2014-09-02 Vanessa Lange , Manuel Schmitt , Rolf Wanka

In this paper, we introduce the notion of distributional chaos and the measure of chaos for random dynamical systems generated by two interval maps. We give some sufficient conditions for a zero measure of chaos and examples of chaotic…

Dynamical Systems · Mathematics 2018-08-09 Jozef Kováč , Katarína Janková

Particle swam optimization (PSO) is a popular stochastic optimization method that has found wide applications in diverse fields. However, PSO suffers from high computational complexity and slow convergence speed. High computational…

Neural and Evolutionary Computing · Computer Science 2014-01-06 Muhammad Saqib Sohail , Muhammad Omer Bin Saeed , Syed Zeeshan Rizvi , Mobien Shoaib , Asrar Ul Haq Sheikh

A particle swarm optimizer (PSO) loosely based on the phenomena of crystallization and a chaos factor which follows the complimentary error function is described. The method features three phases: diffusion, directed motion, and nucleation.…

Neural and Evolutionary Computing · Computer Science 2018-02-13 Casey Kneale , Karl S. Booksh

Stochastic comparisons of series and parallel systems are important in many areas of engineering, operations research and reliability analysis. These comparisons allow for the evaluation of the performance and reliability of systems under…

Statistics Theory · Mathematics 2025-06-09 CM Revathi , Rajesh Moharana , Raju Bhakta

Identifying optimal designs for generalized linear models with a binary response can be a challenging task, especially when there are both continuous and discrete independent factors in the model. Theoretical results rarely exist for such…

Applications · Statistics 2016-02-09 Joshua Lukemire , Abhyuday Mandal , Weng Kee Wong

Swarm based optimization algorithms have demonstrated remarkable success in solving complex optimization problems. However, their widespread adoption remains sceptical due to limited transparency in how different algorithmic components…

Neural and Evolutionary Computing · Computer Science 2026-04-01 Nitin Gupta , Bapi Dutta , Anupam Yadav

Population-based methods can cope with a variety of different problems, including problems of remarkably higher complexity than those traditional methods can handle. The main procedure consists of successively updating a population of…

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

This paper addresses the issues of controlling and analyzing the population diversity in quantum-behaved particle swarm optimization (QPSO), which is an optimization approach motivated by concepts in quantum mechanics and PSO. In order to…

Neural and Evolutionary Computing · Computer Science 2023-08-10 Li-Wei Li , Jun Sun , Chao Li , Wei Fang , Vasile Palade , Xiao-Jun Wu

The striking fractal geometry of strange attractors underscores the generative nature of chaos: like probability distributions, chaotic systems can be repeatedly measured to produce arbitrarily-detailed information about the underlying…

Machine Learning · Computer Science 2023-01-31 William Gilpin

Although it is now understood that chaos in complex classical systems is the foundation of thermodynamic behavior, the detailed relations between the microscopic properties of the chaotic dynamics and the macroscopic thermodynamic…

Chaotic Dynamics · Physics 2015-06-17 Mario Mulansky

Traditional methods present a very restrictive range of applications, mainly limited by the features of the function to be optimized and of the constraint functions. In contrast, evolutionary algorithms present almost no restriction to the…

Neural and Evolutionary Computing · Computer Science 2021-01-26 Mauro S. Innocente , Johann Sienz

Swarm intelligence has becoming a powerful technique in solving design and scheduling tasks. Metaheuristic algorithms are an integrated part of this paradigm, and particle swarm optimization is often viewed as an important landmark. The…

Optimization and Control · Mathematics 2013-03-27 Xin-She Yang

PSO is a widely recognized optimization algorithm inspired by social swarm. In this brief we present a heterogeneous strategy particle swarm optimization (HSPSO), in which a proportion of particles adopt a fully informed strategy to enhance…

Neural and Evolutionary Computing · Computer Science 2016-08-02 Wen-Bo Du , Wen Ying , Gang Yan , Yan-Bo Zhu , Xian-Bin Cao

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

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

In order to analyze the effect of chaos or order on the rate of decoherence in a subsystem we aim to distinguish effects of the two types of dynamics from those depending on the choice of the wave packet. To isolate the former we introduce…

Chaotic Dynamics · Physics 2007-05-23 T. Gorin , T. H. Seligman

In this study, an artificial neural network (ANN) based on particle swarm optimization (PSO) was developed for the time series prediction. The hybrid ANN+PSO algorithm was applied on Mackey--Glass chaotic time series in the short-term…

Computational Physics · Physics 2015-09-22 C. H. López-Caraballo , J. A. Lazzús , I. Salfate , P. Rojas , M. Rivera , L. Palma-Chilla

Stochastic computer simulations enable users to gain new insights into complex physical systems. Optimization is a common problem in this context: users seek to find model inputs that maximize the expected value of an objective function.…

Optimization and Control · Mathematics 2018-09-13 Atiye Alaeddini , Daniel J. Klein

Generality is one of the main advantages of heuristic algorithms, as such, multiple parameters are exposed to the user with the objective of allowing them to shape the algorithms to their specific needs. Parameter selection, therefore,…

Neural and Evolutionary Computing · Computer Science 2017-05-22 Carlos Garcia Cordero