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All swarm-intelligence-based optimization algorithms use some stochastic components to increase the diversity of solutions during the search process. Such randomization is often represented in terms of random walks. However, it is not yet…

Optimization and Control · Mathematics 2014-08-25 Xin-She Yang , M. Karamanoglu , T. O. Ting , Y. X. Zhao

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

Nature-inspired algorithms such as Particle Swarm Optimization and Firefly Algorithm are among the most powerful algorithms for optimization. In this paper, we intend to formulate a new metaheuristic algorithm by combining Levy flights with…

Optimization and Control · Mathematics 2010-03-09 Xin-She Yang

In this paper we propose and advocate the use of the so called L\'evy flights as a driving mechanism for a class of stochastic optimization computations. This proposal, for some reasons overlooked until now, is - in author's opinion - very…

Mathematical Physics · Physics 2007-05-23 Marek Gutowski

Brushless motors has special place though different motors are available because of its special features like absence in commutation, reduced noise and longer lifetime etc., The experimental parameter tracking of BLDC Motor can be achieved…

Systems and Control · Electrical Eng. & Systems 2021-06-22 Appalabathula Venkatesh , Pradeepa H , Chidanandappa R , Shankar Nalinakshan , Jayasankar V N

This paper studies a class of enhanced diffusion processes in which random walkers perform L\'evy flights and apply it for global optimization. L\'evy flights offer controlled balance between exploitation and exploration. We develop four…

Neural and Evolutionary Computing · Computer Science 2014-07-23 Truyen Tran , Trung Thanh Nguyen , Hoang Linh Nguyen

The paper proposes a novel nature-inspired technique of optimization. It mimics the perching nature of eagles and uses mathematical formulations to introduce a new addition to metaheuristic algorithms. The nature of the proposed algorithm…

Neural and Evolutionary Computing · Computer Science 2018-07-10 Ameer Tamoor Khan , Shuai Li Senior , Predrag S. Stanimirovic , Yinyan Zhang

Several real-world optimization problems involve mixed-variable search spaces, where continuous, ordinal, and categorical decision variables coexist. However, most population-based metaheuristic algorithms are designed for either continuous…

Neural and Evolutionary Computing · Computer Science 2026-04-07 Ousmane Tom Bechir , Adán José-García , Zaineb Chelly Garcia , Vincent Sobanski , Clarisse Dhaenens

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

Search strategies based on random walk processes with long-tailed jump length distributions (Levy walks) on the one hand and intermittent behavior switching between local search and ballistic relocation phases on the other, have been…

Statistical Mechanics · Physics 2007-09-17 Michael A. Lomholt , Tal Koren , Ralf Metzler , Joseph Klafter

In natural foraging, many organisms seem to perform two different types of motile search: directed search (taxis) and random search. The former is observed when the environment provides cues to guide motion towards a target. The latter…

Statistical Mechanics · Physics 2017-12-27 Łukasz Kuśmierz , Taro Toyoizumi

Firefly algorithm is a swarm based metaheuristic algorithm inspired by the flashing behavior of fireflies. It is an effective and an easy to implement algorithm. It has been tested on different problems from different disciplines and found…

Neural and Evolutionary Computing · Computer Science 2016-02-26 Surafel Luleseged Tilahun , Jean Medard T Ngnotchouye

We propose EAGLE update rule, a novel optimization method that accelerates loss convergence during the early stages of training by leveraging both current and previous step parameter and gradient values. The update algorithm estimates…

Machine Learning · Computer Science 2025-02-04 Takumi Fujimoto , Hiroaki Nishi

Modern optimisation algorithms are often metaheuristic, and they are very promising in solving NP-hard optimization problems. In this paper, we show how to use the recently developed Firefly Algorithm to solve nonlinear design problems. For…

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

Nature-inspired metaheuristic algorithms, especially those based on swarm intelligence, have attracted much attention in the last ten years. Firefly algorithm appeared in about five years ago, its literature has expanded dramatically with…

Optimization and Control · Mathematics 2013-08-20 Xin-She Yang , Xingshi He

L\'{e}vy flights is a random walk where the step-lengths have a probability distribution that is heavy-tailed. It has been shown that L\'{e}vy flights can maximize the efficiency of resource searching in uncertain environments, and also…

Neural and Evolutionary Computing · Computer Science 2019-06-11 Jiamin Wei , YangQuan Chen , Yongguang Yu , Yuquan Chen

Hyperparameter tuning is a critical yet computationally expensive step in training neural networks, particularly when the search space is high dimensional and nonconvex. Metaheuristic optimization algorithms are often used for this purpose…

Neural and Evolutionary Computing · Computer Science 2026-01-22 Amaras Nazarians , Sachin Kumar

What is the most efficient search strategy for the random located target sites subject to the physical and biological constraints? Previous results suggested the L\'evy flight is the best option to characterize this optimal problem,…

Optimization and Control · Mathematics 2015-01-22 Caibin Zeng , YangQuan Chen

Firefly algorithms belong to modern meta-heuristic algorithms inspired by nature that can be successfully applied to continuous optimization problems. In this paper, we have been applied the firefly algorithm, hybridized with local search…

Optimization and Control · Mathematics 2012-05-14 Iztok Fister , Xin-She Yang , Iztok Fister , Janez Brest

Portfolio optimization is a financial task which requires the allocation of capital on a set of financial assets to achieve a better trade-off between return and risk. To solve this problem, recent studies applied multi-objective…

Neural and Evolutionary Computing · Computer Science 2020-03-17 Yifan He , Claus Aranha
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