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Mathematical Selection is a method in which we select a particular choice from a set of such. It have always been an interesting field of study for mathematicians. Accordingly, Combinatorial Optimization is a sub field of this domain of…

Computational Complexity · Computer Science 2023-06-29 Anurag Dutta , K. Lakshmanan , A. Ramamoorthy , Liton Chandra Voumik , John Harshith , John Pravin Motha

Recently, it has been recognized that phase transitions play an important role in the probabilistic analysis of combinatorial optimization problems. However, there are in fact many other relations that lead to close ties between computer…

Statistical Mechanics · Physics 2007-05-23 O. C. Martin , R. Monasson , R. Zecchina

Extremal Optimization, a recently introduced meta-heuristic for hard optimization problems, is analyzed on a simple model of jamming. The model is motivated first by the problem of finding lowest energy configurations for a disordered spin…

Statistical Mechanics · Physics 2018-07-06 S. Boettcher , M. Grigni

Metaheuristic search algorithms look for solutions that either maximise or minimise a set of objectives, such as cost or performance. However most real-world optimisation problems consist of nonlinear problems with complex constraints and…

Neural and Evolutionary Computing · Computer Science 2022-06-29 Manjinder Singh , Alexander E. I. Brownlee , David Cairns

Evolutionary Algorithms are naturally inspired approximation optimisation algorithms that usually interfere with science problems when common mathematical methods are unable to provide a good solution or finding the exact solution requires…

Artificial Intelligence · Computer Science 2021-02-03 Mohammed ElKomy

In a physical design problem, the designer chooses values of some physical parameters, within limits, to optimize the resulting field. We focus on the specific case in which each physical design parameter is the ratio of two field…

Optimization and Control · Mathematics 2020-02-19 Guillermo Angeris , Jelena Vučković , Stephen Boyd

In certain real-world optimization scenarios, practitioners are not interested in solving multiple problems but rather in finding the best solution to a single, specific problem. When the computational budget is large relative to the cost…

Machine Learning · Computer Science 2026-02-10 Judith Echevarrieta , Etor Arza , Aritz Pérez , Josu Ceberio

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

The development and identification of effective optimization algorithms for non-convex real-world problems is a challenge in global optimization. Because theoretical performance analysis is difficult, and problems based on models of…

Optimization and Control · Mathematics 2018-07-16 Ramses Sala , Niccolò Baldanzini , Marco Pierini

A key challenge in satisficing planning is to use multiple heuristics within one heuristic search. An aggregation of multiple heuristic estimates, for example by taking the maximum, has the disadvantage that bad estimates of a single…

Artificial Intelligence · Computer Science 2021-04-13 David Speck , André Biedenkapp , Frank Hutter , Robert Mattmüller , Marius Lindauer

The field of numerical optimization has recently seen a surge in the development of "novel" metaheuristic algorithms, inspired by metaphors derived from natural or human-made processes, which have been widely criticized for obscuring…

Neural and Evolutionary Computing · Computer Science 2025-07-03 Gjorgjina Cenikj , Gašper Petelin , Tome Eftimov

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

Benchmarking optimization algorithms is fundamental for the advancement of computational intelligence. However, widely adopted artificial test suites exhibit limited correspondence with the diversity and complexity of real-world engineering…

Computational Engineering, Finance, and Science · Computer Science 2026-04-17 Stefan Ivić , Siniša Družeta , Luka Grbčić

Manifold optimization is ubiquitous in computational and applied mathematics, statistics, engineering, machine learning, physics, chemistry and etc. One of the main challenges usually is the non-convexity of the manifold constraints. By…

Optimization and Control · Mathematics 2019-06-14 Jiang Hu , Xin Liu , Zaiwen Wen , Yaxiang Yuan

Stochastic optimisation algorithms are the de facto standard for machine learning with large amounts of data. Handling only a subset of available data in each optimisation step dramatically reduces the per-iteration computational costs,…

Numerical Analysis · Mathematics 2024-12-19 Matthias J. Ehrhardt , Zeljko Kereta , Jingwei Liang , Junqi Tang

Human decision-making deviates from the optimal solution, that maximizes cumulative rewards, in many situations. Here we approach this discrepancy from the perspective of bounded rationality and our goal is to provide a justification for…

Machine Learning · Computer Science 2019-05-13 Marcel Binz , Dominik Endres

Many key problems in machine learning and data science are routinely modeled as optimization problems and solved via optimization algorithms. With the increase of the volume of data and the size and complexity of the statistical models used…

Optimization and Control · Mathematics 2020-08-28 Filip Hanzely

To more flexibly balance between exploration and exploitation, a new meta-heuristic method based on Uncertainty Principle concepts is proposed in this paper. UP is is proved effective in multiple branches of science. In the branch of…

Neural and Evolutionary Computing · Computer Science 2020-06-18 Mojtaba Moattari , Mohammad Hassan Moradi , Emad Roshandel

Increasing nature-inspired metaheuristic algorithms are applied to solving the real-world optimization problems, as they have some advantages over the classical methods of numerical optimization. This paper has proposed a new…

Neural and Evolutionary Computing · Computer Science 2017-08-10 Bing Zeng , Liang Gao , Xinyu Li

Automated design of metaheuristic algorithms offers an attractive avenue to reduce human effort and gain enhanced performance beyond human intuition. Current automated methods design algorithms within a fixed structure and operate from…

Neural and Evolutionary Computing · Computer Science 2024-05-07 Qi Zhao , Tengfei Liu , Bai Yan , Qiqi Duan , Jian Yang , Yuhui Shi
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