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Metaheuristic algorithms are optimization methods that are inspired by real phenomena in nature or the behavior of living beings, e.g., animals, to be used for solving complex problems, as in engineering, energy optimization, health care,…

Neural and Evolutionary Computing · Computer Science 2025-06-16 Ardalan H. Awlla , Tarik A. Rashid , Ronak M. Abdullah

The recently developed algorithm FIRE performs the reduction of Feynman integrals to master integrals. It is based on a number of strategies, such as applying the Laporta algorithm, the s-bases algorithm, region-bases and integrating…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. V. Smirnov

With the rapid upliftment of technology, there has emerged a dire need to fine-tune or optimize certain processes, software, models or structures, with utmost accuracy and efficiency. Optimization algorithms are preferred over other methods…

Neural and Evolutionary Computing · Computer Science 2022-10-03 Thounaojam Chinglemba , Soujanyo Biswas , Debashish Malakar , Vivek Meena , Debojyoti Sarkar , Anupam Biswas

Swarm intelligence is a very powerful technique to be used for optimization purposes. In this paper we present a new swarm intelligence algorithm, based on the bat algorithm. The Bat algorithm is hybridized with differential evolution…

Neural and Evolutionary Computing · Computer Science 2013-06-06 Iztok Fister , Dušan Fister , Xin-She Yang

In non-linear systems, where explicit analytic solutions usually can't be found, visualisation is a powerful approach which can give insights into the dynamical behaviour of models; it is also crucial for teaching this area of mathematics.…

Mathematical Software · Computer Science 2016-01-20 Robert Merrison-Hort

Biology-derived algorithms are an important part of computational sciences, which are essential to many scientific disciplines and engineering applications. Many computational methods are derived from or based on the analogy to natural…

Optimization and Control · Mathematics 2010-03-10 Xin-She Yang

Many optimization problems in science and engineering are challenging to solve, and the current trend is to use swarm intelligence (SI) and SI-based algorithms to tackle such challenging problems. Some significant developments have been…

Neural and Evolutionary Computing · Computer Science 2018-04-24 Xin-She Yang , Suash Deb , Yuxin Zhao , Simon Fong , Xingshi He

The butterfly algorithm is a fast algorithm which approximately evaluates a discrete analogue of the integral transform \int K(x,y) g(y) dy at large numbers of target points when the kernel, K(x,y), is approximately low-rank when restricted…

Numerical Analysis · Mathematics 2013-11-26 Jack Poulson , Laurent Demanet , Nicholas Maxwell , Lexing Ying

A simple system composed of electronic oscillators capable of emitting and detecting light-pulses is studied. The oscillators are biologically inspired, their behavior is designed for keeping a desired light intensity, W, in the system.…

Adaptation and Self-Organizing Systems · Physics 2009-11-13 M. Ercsey-Ravasz , Zs. Sarkozi , Z. Neda , A. Tunyagi , I. Burda

Many matrices associated with fast transforms posess a certain low-rank property characterized by the existence of several block partitionings of the matrix, where each block is of low rank. Provided that these partitionings are known,…

Numerical Analysis · Mathematics 2023-07-04 Léon Zheng , Gilles Puy , Elisa Riccietti , Patrick Pérez , Rémi Gribonval

Evolution Strategies are inspired in biology and part of a larger research field known as Evolutionary Algorithms. Those strategies perform a random search in the space of admissible functions, aiming to optimize some given objective…

Optimization and Control · Mathematics 2007-12-30 Pedro A. F. Cruz , Delfim F. M. Torres

This work presents a novel variant of the Firefly Algorithm (FA) for data clustering, addressing limitations of traditional methods like K-Means that struggle with non-uniform cluster shapes, densities, and the need for pre-defining the…

Artificial Intelligence · Computer Science 2026-05-19 MKA Ariyaratne , Azwirman Gusrialdi , Yury Nikulin , Jaakko Peltonen

Efficiency of an optimization process is largely determined by the search algorithm and its fundamental characteristics. In a given optimization, a single type of algorithm is used in most applications. In this paper, we will investigate…

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

Almost all optimization algorithms have algorithm-dependent parameters, and the setting of such parameter values can largely influence the behaviour of the algorithm under consideration. Thus, proper parameter tuning should be carried out…

Artificial Intelligence · Computer Science 2023-08-31 Geethu Joy , Christian Huyck , Xin-She Yang

We discuss a new optimization strategy, which considerably improves the effectivity of evolutionary algorithms applied to a certain class of optimization problems. The basic principle is to solve first a simpler related problem, which is…

Disordered Systems and Neural Networks · Physics 2007-05-23 Volkhard Buchholtz , Thorsten Poeschel

Now the Meta-Heuristic algorithms have been used vastly in solving the problem of continuous optimization. In this paper the Artificial Bee Colony (ABC) algorithm and the Firefly Algorithm (FA) are valuated. And for presenting the…

Neural and Evolutionary Computing · Computer Science 2013-10-31 Seyyed Reza Khaze , Isa maleki , Sohrab Hojjatkhah , Ali Bagherinia

Computational Intelligence algorithms have gained a lot of attention of researchers in the recent years due to their ability to deliver near optimal solutions.

Neural and Evolutionary Computing · Computer Science 2019-01-29 Satyarth Vaidya , Arshveer Kaur , Lavika Goel

The challenge of finding a global optimum in a solution search space with limited resources and higher accuracy has given rise to several optimization algorithms. Generally, the gradient-based optimizers converge to the global solution very…

Neural and Evolutionary Computing · Computer Science 2023-11-23 Subhrangshu Adhikary

Swarm intelligence is all about developing collective behaviours to solve complex, ill-structured and large-scale problems. Efficiency in collective behaviours depends on how to harmonise the individual contributions so that a complementary…

Neural and Evolutionary Computing · Computer Science 2015-04-23 Muharrem Düğenci

This paper addresses the challenges faced by algorithms, such as the Firefly Algorithm (FA) and the Genetic Algorithm (GA), in constrained optimization problems. While both algorithms perform well for unconstrained problems, their…

Neural and Evolutionary Computing · Computer Science 2025-01-28 Aswathi Malanthara , Ishaan R Kale