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Metaheuristic algorithms, widely used for solving complex non-convex and non-differentiable optimization problems, often lack a solid mathematical foundation. In this review, we explore how concepts and methods from kinetic theory can offer…

Optimization and Control · Mathematics 2024-10-15 Giacomo Borghi , Michael Herty , Lorenzo Pareschi

Lack of data on which to perform experimentation is a recurring issue in many areas of research, particularly in machine learning. The inability of most automated data mining techniques to be generalized to all types of data is inherently…

Machine Learning · Computer Science 2024-10-17 Gustavo Assunção , Paulo Menezes

During the last decades many metaheuristics for global numerical optimization have been proposed. Among them, Basin Hopping is very simple and straightforward to implement, although rarely used outside its original Physical Chemistry…

Neural and Evolutionary Computing · Computer Science 2024-03-12 Marco Baioletti , Valentino Santucci , Marco Tomassini

The moist shallow water equations offer a promising route for advancing understanding of the coupling of physical parametrisations and dynamics in numerical atmospheric models, an issue known as 'physics-dynamics coupling'. Without moist…

Numerical Analysis · Mathematics 2025-05-15 Nell Hartney , Thomas M. Bendall , Jemma Shipton

Underwater images suffer from light refraction and absorption, which impairs visibility and interferes the subsequent applications. Existing underwater image enhancement methods mainly focus on image quality improvement, ignoring the effect…

Computer Vision and Pattern Recognition · Computer Science 2023-08-03 Zengxi Zhang , Zhiying Jiang , Jinyuan Liu , Xin Fan , Risheng Liu

In the field of derivative-free optimization, both of its main branches, the deterministic and nature-inspired techniques, experienced in recent years substantial advancement. In this paper, we provide an extensive computational comparison…

Neural and Evolutionary Computing · Computer Science 2022-12-15 Jakub Kudela

Evolutionary algorithms are metaheuristic techniques that derive inspiration from the natural process of evolution. They can efficiently solve (generate acceptable quality of solution in reasonable time) complex optimization (NP-Hard)…

Computer Vision and Pattern Recognition · Computer Science 2013-12-20 Anupriya Gogna , Akash Tayal

Joint models are a common and important tool in the intersection of machine learning and the physical sciences, particularly in contexts where real-world measurements are scarce. Recent developments in rainfall-runoff modeling, one of the…

Machine Learning · Computer Science 2019-11-22 Guy Shalev , Ran El-Yaniv , Daniel Klotz , Frederik Kratzert , Asher Metzger , Sella Nevo

The gravity fed water distribution network design (WDND) optimization problem consists in determining the pipe diameters of a water network such that hydraulic constraints are satisfied and the total cost is minimized. Traditionally, such…

Artificial Intelligence · Computer Science 2021-12-28 Willian C. S. Martinho , Rafael A. Melo , Kenneth Sörensen

The continuous computational power growth in the last decades has made solving several optimization problems significant to humankind a tractable task; however, tackling some of them remains a challenge due to the overwhelming amount of…

Machine Learning · Computer Science 2023-02-01 Luiz C. F. Ribeiro , Mateus Roder , Gustavo H. de Rosa , Leandro A. Passos , João P. Papa

In this paper, we introduce a novel framework for combining scientific knowledge within physics-based models and recurrent neural networks to advance scientific discovery in many dynamical systems. We will first describe the use of outputs…

Machine Learning · Computer Science 2018-10-09 Xiaowei Jia , Anuj Karpatne , Jared Willard , Michael Steinbach , Jordan Read , Paul C Hanson , Hilary A Dugan , Vipin Kumar

We propose and analyse a variant of the recently introduced kinetic based optimization method that incorporates ideas like survival-of-the-fittest and mutation strategies well-known from genetic algorithms. Thus, we provide a first attempt…

Optimization and Control · Mathematics 2024-07-18 Giacomo Albi , Federica Ferrarese , Claudia Totzeck

Streamflow prediction is one of the key challenges in the field of hydrology due to the complex interplay between multiple non-linear physical mechanisms behind streamflow generation. While physics based models are rooted in rich…

Atmospheric and Oceanic Physics · Physics 2025-11-12 Ankush Khandelwal , Shaoming Xu , Xiang Li , Xiaowei Jia , Michael Stienbach , Christopher Duffy , John Nieber , Vipin Kumar

The application of Machine Learning (ML) to hydrologic modeling is fledgling. Its applicability to capture the dependencies on watersheds to forecast better within a short period is fascinating. One of the key reasons to adopt ML algorithms…

Machine Learning · Computer Science 2025-10-14 Supath Dhital

Transportation is an essential area in the nowadays society, both for business sector and citizenry. There are different kinds of transportation systems, each one with its own characteristics. In the same way, various areas of knowledge can…

Artificial Intelligence · Computer Science 2020-03-26 Eneko Osaba

A water company decides to expand its network with a set of water lines, but it cannot build them all at once. However, it starts reaping benefits from a partial expansion. In what order should the company build the lines? We formalize a…

Optimization and Control · Mathematics 2022-07-27 J. Carlos Martinez Mori , Samitha Samaranayake

Many real world optimization problems are formulated as mixed-variable optimization problems (MVOPs) which involve both continuous and discrete variables. MVOPs including dimensional variables are characterized by a variable-size search…

Artificial Intelligence · Computer Science 2024-08-31 El-Ghazali Talbi

Optimization problems are ubiquitous in our societies and are present in almost every segment of the economy. Most of these optimization problems are NP-hard and computationally demanding, often requiring approximate solutions for…

Optimization and Control · Mathematics 2021-06-23 James Kotary , Ferdinando Fioretto , Pascal Van Hentenryck

Hybrid metaheuristics are powerful techniques for solving difficult optimization problems that exploit the strengths of different approaches in a single implementation. For algorithm designers, however, creating hybrid metaheuristic…

Neural and Evolutionary Computing · Computer Science 2025-02-18 Christian Camacho-Villalón , Marco Dorigo , Thomas Stützle

The number of proposed iterative optimization heuristics is growing steadily, and with this growth, there have been many points of discussion within the wider community. One particular criticism that is raised towards many new algorithms is…

Neural and Evolutionary Computing · Computer Science 2024-02-16 Diederick Vermetten , Carola Doerr , Hao Wang , Anna V. Kononova , Thomas Bäck