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This paper introduces a novel idea for representation of individuals using quaternions in swarm intelligence and evolutionary algorithms. Quaternions are a number system, which extends complex numbers. They are successfully applied to…

Neural and Evolutionary Computing · Computer Science 2013-06-11 Iztok Fister , Iztok Fister

Among many evolutionary algorithms, differential evolution (DE) has received much attention over the last two decades. DE is a simple yet powerful evolutionary algorithm that has been used successfully to optimize various real-world…

Neural and Evolutionary Computing · Computer Science 2020-05-27 Tae Jong Choi , Julian Togelius , Yun-Gyung Cheong

This study presents a population-based evolutionary optimization algorithm (Adaptive Differential Evolution with Diversification Strategies or ADEDS). The algorithm developed using the sinusoidal objective function and subsequently…

Neural and Evolutionary Computing · Computer Science 2023-10-09 Sarit Maitra

Differential evolution (DE) algorithm is recognized as one of the most effective evolutionary algorithms, demonstrating remarkable efficacy in black-box optimization due to its derivative-free nature. Numerous enhancements to the…

Neural and Evolutionary Computing · Computer Science 2025-03-25 Xu Yang , Rui Wang , Kaiwen Li , Ling Wang

This paper introduces a novel competitive mechanism into differential evolution (DE), presenting an effective DE variant named competitive DE (CDE). CDE features a simple yet efficient mutation strategy: DE/winner-to-best/1. Essentially,…

Neural and Evolutionary Computing · Computer Science 2024-06-11 Rui Zhong , Yang Cao , Enzhi Zhang , Masaharu Munetomo

New contributions in the field of iterative optimisation heuristics are often made in an iterative manner. Novel algorithmic ideas are not proposed in isolation, but usually as an extension of a preexisting algorithm. Although these…

Neural and Evolutionary Computing · Computer Science 2023-04-20 Diederick Vermetten , Fabio Caraffini , Anna V. Kononova , Thomas Bäck

Differential Evolution (DE) is quite powerful for real parameter single objective optimization. However, the ability of extending or changing search area when falling into a local optimum is still required to be developed in DE for…

Artificial Intelligence · Computer Science 2020-03-03 Chengjun Li , Yang Li

Deep probabilistic generative models have achieved incredible success in many fields of application. Among such models, variational autoencoders (VAEs) have proved their ability in modeling a generative process by learning a latent…

Machine Learning · Computer Science 2022-12-16 Eleonora Grassucci , Danilo Comminiello , Aurelio Uncini

The differential evolution (DE) algorithm suffers from high computational time due to slow nature of evaluation. In contrast, micro-DE (MDE) algorithms employ a very small population size, which can converge faster to a reasonable solution.…

Neural and Evolutionary Computing · Computer Science 2016-09-27 Hojjat Salehinejad , Shahryar Rahnamayan , Hamid R. Tizhoosh

Quaternion-valued differential equations (QDEs) is a new kind of differential equations which have many applications in physics and life sciences. The largest difference between QDEs and ODEs is the algebraic structure. On the…

Classical Analysis and ODEs · Mathematics 2017-09-08 Kit Ian Kou , Yong-Hui Xia

Differential Evolution (DE) is a renowned optimization stratagem that can easily solve nonlinear and comprehensive problems. DE is a well known and uncomplicated population based probabilistic approach for comprehensive optimization. It has…

Neural and Evolutionary Computing · Computer Science 2015-06-22 Sandeep Kumar , Vivek Kumar Sharma , Rajani Kumari

An AI-powered quality engineering platform uses artificial intelligence to boost software quality assessments through automated defect prediction and optimized performance alongside improved feature extraction. Existing models result in…

Artificial Intelligence · Computer Science 2025-03-21 Seshu Babu Barma , Mohanakrishnan Hariharan , Satish Arvapalli

Working towards the development of an evolvable cancer treatment simulator, the investigation of Differential Evolution was considered, motivated by the high efficiency of variations of this technique in real-valued problems. A basic DE…

Neural and Evolutionary Computing · Computer Science 2020-03-27 Michail-Antisthenis Tsompanas , Larry Bull , Andrew Adamatzky , Igor Balaz

In this paper, we present an empirical study on convergence nature of Differential Evolution (DE) variants to solve unconstrained global optimization problems. The aim is to identify the competitive nature of DE variants in solving the…

Neural and Evolutionary Computing · Computer Science 2011-05-11 G. Jeyakumar C. Shanmugavelayutham

From their inception, quaternions and their division algebra have proven to be advantageous in modelling rotation/orientation in three-dimensional spaces and have seen use from the initial formulation of electromagnetic filed theory through…

Quaternion symmetry is ubiquitous in the physical sciences. As such, much work has been afforded over the years to the development of efficient schemes to exploit this symmetry using real and complex linear algebra. Recent years have also…

Mathematical Software · Computer Science 2019-03-14 David Williams-Young , Xiaosong Li

Complex single-objective bounded problems are often difficult to solve. In evolutionary computation methods, since the proposal of differential evolution algorithm in 1997, it has been widely studied and developed due to its simplicity and…

Neural and Evolutionary Computing · Computer Science 2024-04-26 Sichen Tao , Ruihan Zhao , Kaiyu Wang , Shangce Gao

In this paper, a novel mutation operator of differential evolution algorithm is proposed. A new algorithm called divergence differential evolution algorithm (DDEA) is developed by combining the new mutation operator with divergence operator…

Neural and Evolutionary Computing · Computer Science 2011-08-18 Yifeng Gao , Shuhong Gong , Ge Zhao

Optimal experimental design is an essential subfield of statistics that maximizes the chances of experimental success. The D- and A-optimal design is a very challenging problem in the field of optimal design, namely minimizing the…

Neural and Evolutionary Computing · Computer Science 2022-08-25 Lyuyang Tong

Evolutionary algorithms (EAs) have emerged as a powerful framework for optimization, especially for black-box optimization. Existing evolutionary algorithms struggle to comprehend and effectively utilize task-specific information for…

Neural and Evolutionary Computing · Computer Science 2024-12-24 Kai Wu , Xiaobin Li , Penghui Liu , Jing Liu