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This thesis investigates the design of algorithms for solving min-max optimization problems, which form the mathematical foundation of many modern applications in machine learning, game theory, and optimization. This work offers new…

Optimization and Control · Mathematics 2025-12-16 Sayantan Choudhury

Robust optimization is a young and emerging field of research having received a considerable increase of interest over the last decade. In this paper, we argue that the the algorithm engineering methodology fits very well to the field of…

Optimization and Control · Mathematics 2016-01-12 Marc Goerigk , Anita Schöbel

Natural systems often exhibit chaotic behavior in their space-time evolution. Systems transiting between chaos and order manifest a potential to compute, as shown with cellular automata and artificial neural networks. We demonstrate that…

Computational Physics · Physics 2025-04-04 Tomáš Vantuch , Ivan Zelinka , Andrew Adamatzky , Norbert Marwan

Group theory is a particularly fertile field for the design of practical algorithms. Algorithms have been developed across the various branches of the subject and they find wide application. Because of its relative maturity, computational…

Group Theory · Mathematics 2009-09-25 John Cannon , George Havas

The domain of metaheuristic optimization has become vibrant due to a flood of new algorithms using a new nature-inspired metaphor but lacking clear methodological novelty. The Criticism behind the development of these algorithms has reached…

Neural and Evolutionary Computing · Computer Science 2026-03-31 Iztok Fister , Žan Hozjan , Iztok Fister, , Damjan Strnad

Artificial Intelligence has an important place in the scientific community as a result of its successful outputs in terms of different fields. In time, the field of Artificial Intelligence has been divided into many sub-fields because of…

Artificial Intelligence · Computer Science 2019-02-05 M. H. Calp

The diversified ecology in nature had various forms of swarm behaviors in many species. The butterfly species is one of the prominent and a bit insightful in their random flights and converting that into an artificial metaphor would lead to…

Robotics · Computer Science 2022-09-19 Chakravarthi J , Vinod Babu P , Pavan B , Ashok U , Marek Kolencik , Martin Šebesta , Ramakanth Illa

Efficient network design, construction and analysis are important topics, considering the highly dynamic environment in which data communication occurs nowadays. In this paper we address several problems concerning these topics from an…

Data Structures and Algorithms · Computer Science 2009-08-25 Mugurel Ionut Andreica , Mihai Aristotel Ungureanu , Romulus Andreica , Angela Andreica

We present an aircraft maintenance scheduling problem, which requires suitably qualified staff to be assigned to maintenance tasks on each aircraft. The tasks on each aircraft must be completed within a given turn around window so that the…

Neural and Evolutionary Computing · Computer Science 2025-12-22 Neil Urquhart , Amir Rahimi , Efstathios-Al. Tingas

This paper presents a novel algorithm to plan energy-efficient trajectories for autonomous ornithopters. In general, trajectory optimization is quite a relevant problem for practical applications with \emph{Unmanned Aerial Vehicles} (UAVs).…

The eigenfunctions of the Laplacian are a natural basis of functions for many tasks in computational mathematics. On the circle and sphere, the eigenfunctions are given by complex periodic exponentials and spherical harmonics, respectively,…

Numerical Analysis · Mathematics 2026-05-22 Paul G. Beckman , Samuel F. Potter , Michael O'Neil

Taking the role of a computer naturalist, a journey is taken through bio inspired algorithms taking account on algorithms which are inspired on living being behaviors. A compilation of algorithms is made considering several reviews or…

Neural and Evolutionary Computing · Computer Science 2021-06-10 Luis Torres-Treviño

This thesis studies the domain of collective robotics, and more particularly the optimization problems of multirobot systems in the context of exploration, path planning and coordination. It includes two contributions. The first one is the…

Robotics · Computer Science 2023-06-13 Amine Bendahmane

In this paper, the Butterfly Optimization Algorithm (BOA) proposed by [1] is adopted to optimize the parameters of a designed Lead-Lad Controller so as to obtain a stabilized control system. Numerical analysis was carried out for BOA on the…

Systems and Control · Electrical Eng. & Systems 2019-12-03 Ramadan Abdul-Rashid , Basit Olakunle Alawode

Optimisation problems are ubiquitous in particle and astrophysics, and involve locating the optimum of a complicated function of many parameters that may be computationally expensive to evaluate. We describe a number of global optimisation…

The Butterfly Effect, a concept originating from chaos theory, underscores how small changes can have significant and unpredictable impacts on complex systems. In the context of AI fairness and bias, the Butterfly Effect can stem from a…

Computers and Society · Computer Science 2024-02-05 Emilio Ferrara

In this paper, we investigate the butterfly factorization problem, i.e., the problem of approximating a matrix by a product of sparse and structured factors. We propose a new formal mathematical description of such factors, that encompasses…

Optimization and Control · Mathematics 2025-03-28 Quoc-Tung Le , Léon Zheng , Elisa Riccietti , Rémi Gribonval

The rapid advances in the field of optimization methods in many pure and applied science pose the difficulty of keeping track of the developments as well as selecting an appropriate technique that best suits the problem in-hand. From a…

Neural and Evolutionary Computing · Computer Science 2011-12-30 Loris Serafino

The aim of this research is twofold: Firstly, to model and solve a complex nurse scheduling problem with an integer programming formulation and evolutionary algorithms. Secondly, to detail a novel statistical method of comparing and hence…

Neural and Evolutionary Computing · Computer Science 2010-07-05 Uwe Aickelin , Paul White

We introduce algorithms that use predictions from machine learning applied to the input to circumvent worst-case analysis. We aim for algorithms that have near optimal performance when these predictions are good, but recover the…

Data Structures and Algorithms · Computer Science 2020-06-17 Michael Mitzenmacher , Sergei Vassilvitskii