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Nature-inspired metaheuristic algorithms are important components of artificial intelligence, and are increasingly used across disciplines to tackle various types of challenging optimization problems. This paper demonstrates the usefulness…

Neural and Evolutionary Computing · Computer Science 2024-08-20 Elvis Han Cui , Zizhao Zhang , Culsome Junwen Chen , Weng Kee Wong

Recent years have seen spectacular progress in the mathematical study of hydrodynamic equations. Novel tools from convex integration in particular prove extremely versatile in establishing non-uniqueness results. Motivated by this…

History and Overview · Mathematics 2022-11-08 Martina Hofmanová , Florian Bechtold

The optimization of dynamic problems is both widespread and difficult. When conducting dynamic optimization, a balance between reinitialization and computational expense has to be found. There are multiple approaches to this. In parallel…

Neural and Evolutionary Computing · Computer Science 2014-01-21 Ronald Hochreiter , Christoph Waldhauser

As the most important solvent, water has been at the center of interest since the advent of computer simulations. While early molecular dynamics and Monte Carlo simulations had to make use of simple model potentials to describe the atomic…

Soft Condensed Matter · Physics 2024-02-01 Amir Omranpour , Pablo Montero De Hijes , Jörg Behler , Christoph Dellago

The template design problem (TDP) is a hard combinatorial problem with a high number of symmetries which makes solving it more complicated. A number of techniques have been proposed in the literature to optimise its resolution, ranging from…

Neural and Evolutionary Computing · Computer Science 2024-11-22 David Rodríguez Rueda , Carlos Cotta , Antonio J. Fernández-Leiva

Most metaheuristic algorithms rely on a few searched solutions to guide later searches during the convergence process for a simple reason: the limited computing resource of a computer makes it impossible to retain all the searched…

Artificial Intelligence · Computer Science 2023-06-02 Chun-Wei Tsai , Yi-Cheng Yang , Tzu-Chieh Tang , Che-Wei Hsu

Metaheuristic search methods have proven to be essential tools for tackling complex optimization challenges, but their full potential is often constrained by conventional algorithmic frameworks. In this paper, we introduce a novel approach…

Artificial Intelligence · Computer Science 2024-10-23 Abdel-Rahman Hedar , Alaa E. Abdel-Hakim , Wael Deabes , Youseef Alotaibi , Kheir Eddine Bouazza

Hydrodynamic theories effectively describe many-body systems out of equilibrium in terms of a few macroscopic parameters. However, such hydrodynamic parameters are difficult to derive from microscopics. Seldom is this challenge more…

Metaheuristics have gained great success in academia and practice because their search logic can be applied to any problem with available solution representation, solution quality evaluation, and certain notions of locality. Manually…

Neural and Evolutionary Computing · Computer Science 2024-02-22 Qi Zhao , Qiqi Duan , Bai Yan , Shi Cheng , Yuhui Shi

Nature is known to be the best optimizer. Natural processes most often than not reach an optimal equilibrium. Scientists have always strived to understand and model such processes.Thus, many algorithms exist today that are inspired by…

Neural and Evolutionary Computing · Computer Science 2019-03-06 Pranshu Gupta

Model reduction for fluid flow simulation continues to be of great interest across a number of scientific and engineering fields. Here, we explore the use of Neural Ordinary Differential Equations, a recently introduced family of…

Machine Learning · Computer Science 2021-04-30 Sourav Dutta , Peter Rivera-Casillas , Matthew W. Farthing

Optimization is an integral part of modern deep learning. Recently, the concept of learned optimizers has emerged as a way to accelerate this optimization process by replacing traditional, hand-crafted algorithms with meta-learned…

Machine Learning · Computer Science 2023-12-13 Jan Sobotka , Petr Šimánek , Daniel Vašata

This article discussesl a few of the problems that arise in geophysical fluid dynamics and climate that are associated with the presence of moisture in the air, its condensation and release of latent heat. Our main focus is Earth's…

Atmospheric and Oceanic Physics · Physics 2020-06-14 Geoffrey K. Vallis

Metaheuristics are known to be strong in solving large-scale instances of computationally hard problems. However, their efficiency still needs exploration in the context of instance structure, scale and numerical properties for many of…

Computational Engineering, Finance, and Science · Computer Science 2018-01-11 David Chalupa , Peter Nielsen

As the ongoing rapid urbanization takes place with an ever-increasing speed, fully modeling urban dynamics becomes more and more challenging, but also a necessity for socioeconomic development. It is challenging because human activities and…

Information Retrieval · Computer Science 2019-12-02 Yunan Zhang , Heting Gao , Tarek Abdelzaher

We consider a recently introduced class of network construction problems where edges of a transportation network need to be constructed by a server (construction crew). The server has a constant construction speed which is much lower than…

Artificial Intelligence · Computer Science 2020-07-08 Igor Averbakh , Jordi Pereira

In this work, the artificial recirculation of water is presented and analyzed, from the perspective of the optimal control of partial differential equations, as a tool to prevent eutrophication effects in large waterbodies. A novel…

Optimization and Control · Mathematics 2020-07-23 Francisco J. Fernández , Aurea Martínez , Lino J. Alzarez-Vázquez

In numerical modeling of the Earth System, many processes remain unknown or ill represented (let us quote sub-grid processes, the dependence to unknown latent variables or the non-inclusion of complex dynamics in numerical models) but…

Data Analysis, Statistics and Probability · Physics 2019-03-19 Julien Brajard , Anastase Charantonis , Jérôme Sirven

Metaheuristics are universal optimization algorithms which should be used for solving difficult problems, unsolvable by classic approaches. In this paper we aim at constructing novel socio-cognitive metaheuristic based on castes, and apply…

Neural Combinatorial Optimization attempts to learn good heuristics for solving a set of problems using Neural Network models and Reinforcement Learning. Recently, its good performance has encouraged many practitioners to develop neural…

Artificial Intelligence · Computer Science 2022-05-04 Andoni I. Garmendia , Josu Ceberio , Alexander Mendiburu