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Related papers: Optimal Randomness in Swarm-Based Search

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The tail behavior of aggregates of heavy-tailed random vectors is known to be determined by the so-called principle of "one large jump'', be it for finite sums, random sums, or, L\'evy processes. We establish that, in fact, a more general…

Probability · Mathematics 2023-01-26 Bikramjit Das , Vicky Fasen-Hartmann

In this paper a method based on a Markov chain Monte Carlo (MCMC) algorithm is proposed to compute the probability of a rare event. The conditional distribution of the underlying process given that the rare event occurs has the probability…

Probability · Mathematics 2012-11-12 Thorbjörn Gudmundsson , Henrik Hult

In collective systems, the available agents are a limited resource that must be allocated among tasks to maximize collective performance. Computing the optimal allocation of several agents to numerous tasks through a brute-force approach…

Robotics · Computer Science 2025-12-30 Simay Atasoy Bingöl , Tobias Töpfer , Sven Kosub , Heiko Hamann , Andreagiovanni Reina

Lazy search algorithms can efficiently solve problems where edge evaluation is the bottleneck in computation, as is the case for robotic motion planning. The optimal algorithm in this class, LazySP, lazily restricts edge evaluation to only…

Robotics · Computer Science 2019-07-24 Aditya Mandalika , Sanjiban Choudhury , Oren Salzman , Siddhartha Srinivasa

The Levy-flight dynamics can stem from simple random walks in a system whose operational time (number of steps n) typically grows superlinearly with physical time t. Thus, this processes is a kind of continuous-time random walks (CTRW),…

Statistical Mechanics · Physics 2009-10-31 I. M. Sokolov

We present a set of metrics intended to supplement designer intuitions when designing swarm-robotic systems, increase accuracy in extrapolating swarm behavior from algorithmic descriptions and small test experiments, and lead to faster and…

Robotics · Computer Science 2021-10-26 John Harwell , Maria Gini

What is the fastest way of finding a randomly hidden target? This question of general relevance is of vital importance for foraging animals. Experimental observations reveal that the search behaviour of foragers is generally intermittent:…

Statistical Mechanics · Physics 2009-11-11 O. Benichou , M. Coppey , M. Moreau , P-H. Suet , R. Voituriez

In environments with scarce resources, adopting the right search strategy can make the difference between succeeding and failing, even between life and death. At different scales, this applies to molecular encounters in the cell cytoplasm,…

Biological Physics · Physics 2018-09-27 Giorgio Volpe , Giovanni Volpe

This paper develops likelihood-based methods for estimation, inference, model selection, and forecasting of continuous-time integer-valued trawl processes. The full likelihood of integer-valued trawl processes is, in general, highly…

Methodology · Statistics 2023-02-24 Mikkel Bennedsen , Asger Lunde , Neil Shephard , Almut E. D. Veraart

We investigate a L\'evy-Walk alternating between velocities $\pm v_0$ with opposite sign. The sojourn time probability distribution at large times is a power law lacking its mean or second moment. The first case corresponds to a ballistic…

Statistical Mechanics · Physics 2014-06-03 D. Froemberg , E. Barkai

We derive subexponential tail asymptotics for the distribution of the maximum of a compound renewal process with linear component and of a L\'evy process, both with negative drift, over random time horizon $\tau$ that does not depend on the…

Probability · Mathematics 2024-10-07 Sergey Foss , Dmitry Korshunov , Zbigniew Palmowski

The goal of this paper is twofold. First, it explores hybrid evolutionary-swarm metaheuristics that combine the features of PSO and GA in a sequential, parallel and consecutive manner in comparison with their standard basic form: Genetic…

Neural and Evolutionary Computing · Computer Science 2025-08-04 Piotr Urbańczyk , Aleksandra Urbańczyk , Magdalena Król , Leszek Rutkowski , Marek Kisiel-Dorohinicki

We introduce a formalism of fractional diffusion on networks based on a fractional Laplacian matrix that can be constructed directly from the eigenvalues and eigenvectors of the Laplacian matrix. This fractional approach allows random walks…

Statistical Mechanics · Physics 2015-06-23 A. P. Riascos , José L. Mateos

We introduced the Scorpion Hunting Strategy (SHS), a novel population-based, nature-inspired optimisation algorithm. This algorithm draws inspiration from the hunting strategy of scorpions, which identify, locate, and capture their prey…

Neural and Evolutionary Computing · Computer Science 2024-09-04 Abhilash Singh , Seyed Muhammad Hossein Mousavi , Kumar Gaurav

A biological competition model where the individuals of the same species perform a two-dimensional Markovian continuous-time random walk and undergo reproduction and death is studied. The competition is introduced through the assumption…

Biological Physics · Physics 2011-08-31 E. Heinsalu , E. Hernandez-Garcia , C. Lopez

Metaheuristic algorithms such as particle swarm optimization, firefly algorithm and harmony search are now becoming powerful methods for solving many tough optimization problems. In this paper, we propose a new metaheuristic method, the Bat…

Optimization and Control · Mathematics 2010-07-29 Xin-She Yang

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

Performing random walks in networks is a fundamental primitive that has found applications in many areas of computer science, including distributed computing. In this paper, we focus on the problem of sampling random walks efficiently in a…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-02-20 Atish Das Sarma , Danupon Nanongkai , Gopal Pandurangan , Prasad Tetali

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

Swarm optimization algorithms are widely used for feature selection before data mining and machine learning applications. The metaheuristic nature-inspired feature selection approaches are used for single-objective optimization tasks,…

Artificial Intelligence · Computer Science 2021-07-30 Hritam Basak , Mayukhmali Das , Susmita Modak