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Related papers: Research trends in combinatorial optimisation

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In the era of big data, one of the key challenges is the development of novel optimization algorithms that can accommodate vast amounts of data while at the same time satisfying constraints and limitations of the problem under study. The…

Optimization and Control · Mathematics 2019-09-27 Nicolas Loizou

One of the most critical issues in machine learning is the selection of appropriate hyper parameters for training models. Machine learning models may be able to reach the best training performance and may increase the ability to generalize…

Machine Learning · Computer Science 2023-02-23 Caner Erden , Halil Ibrahim Demir , Abdullah Hulusi Kökçam

Allocation of scarce resources is a recurring challenge for the public sector: something that emerges in areas as diverse as healthcare, disaster recovery, and social welfare. The complexity of these policy domains and the need for meeting…

Computers and Society · Computer Science 2023-10-11 Saba Esnaashari , Jonathan Bright , John Francis , Youmna Hashem , Vincent Straub , Deborah Morgan

We study combinatorial problems with real world applications such as machine scheduling, routing, and assignment. We propose a method that combines Reinforcement Learning (RL) and planning. This method can equally be applied to both the…

Machine Learning · Computer Science 2021-05-19 Joel Oren , Chana Ross , Maksym Lefarov , Felix Richter , Ayal Taitler , Zohar Feldman , Christian Daniel , Dotan Di Castro

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

Collaborative filtering is a rapidly advancing research area. Every year several new techniques are proposed and yet it is not clear which of the techniques work best and under what conditions. In this paper we conduct a study comparing…

Information Retrieval · Computer Science 2012-05-16 Joonseok Lee , Mingxuan Sun , Guy Lebanon

Recently numerous machine learning based methods for combinatorial optimization problems have been proposed that learn to construct solutions in a sequential decision process via reinforcement learning. While these methods can be easily…

Machine Learning · Computer Science 2022-03-16 André Hottung , Yeong-Dae Kwon , Kevin Tierney

Combinatorial optimization finds an optimal solution within a discrete set of variables and constraints. The field has seen tremendous progress both in research and industry. With the success of deep learning in the past decade, a recent…

Machine Learning · Computer Science 2023-11-27 Mehdi Seyfi , Amin Banitalebi-Dehkordi , Zirui Zhou , Yong Zhang

Designing search algorithms for finding global optima is one of the most active research fields, recently. These algorithms consist of two main categories, i.e., classic mathematical and metaheuristic algorithms. This article proposes a…

Neural and Evolutionary Computing · Computer Science 2018-09-26 Benyamin Ghojogh , Saeed Sharifian , Hoda Mohammadzade

Graphs are a natural representation for systems based on relations between connected entities. Combinatorial optimization problems, which arise when considering an objective function related to a process of interest on discrete structures,…

Machine Learning · Computer Science 2024-08-21 Victor-Alexandru Darvariu , Stephen Hailes , Mirco Musolesi

In many important design problems, some decisions should be made by finding the global optimum of a multiextremal objective function subject to a set of constrains. Frequently, especially in engineering applications, the functions involved…

Optimization and Control · Mathematics 2015-09-17 Dmitri E. Kvasov , Yaroslav D. Sergeyev

The orienteering problem (OP) is a combinatorial optimization problem that seeks a path visiting a subset of locations to maximize collected rewards under a limited resource budget. This article presents a systematic PRISMA-based review of…

Optimization and Control · Mathematics 2025-12-19 Songhao Shen , Yufeng Zhou , Qin Lei , Zhibin Wu

Combinatorial optimization problems pose significant computational challenges across various fields, from logistics to cryptography. Traditional computational methods often struggle with their exponential complexity, motivating exploration…

Quantum Physics · Physics 2024-09-24 Mateusz Slysz , Krzysztof Kurowski , Grzegorz Waligóra

In decision-making problems, the outcome of an intervention often depends on the causal relationships between system components and is highly costly to evaluate. In such settings, causal Bayesian optimization (CBO) can exploit the causal…

Machine Learning · Statistics 2025-02-21 Shriya Bhatija , Paul-David Zuercher , Jakob Thumm , Thomas Bohné

Optimization has found numerous applications in engineering, particularly since 1960s. Many optimization applications in engineering have more than one objective (or performance criterion). Such applications require multi-objective (or…

Chemical Physics · Physics 2024-07-16 Zhiyuan Wang , Seyed Reza Nabavi , Gade Pandu Rangaiah

Recent years have seen a significant surge in complex AI systems for competitive programming, capable of performing at admirable levels against human competitors. While steady progress has been made, the highest percentiles still remain out…

Machine Learning · Computer Science 2024-12-02 Petar Veličković , Alex Vitvitskyi , Larisa Markeeva , Borja Ibarz , Lars Buesing , Matej Balog , Alexander Novikov

Linear-parametric optimization, where multiple objectives are combined into a single objective using linear combinations with parameters as coefficients, has numerous links to other fields in optimization and a wide range of application…

Optimization and Control · Mathematics 2025-01-22 Levin Nemesch , Stefan Ruzika , Clemens Thielen , Alina Wittmann

Several Artificial Intelligence based heuristic and metaheuristic algorithms have been developed so far. These algorithms have shown their superiority towards solving complex problems from different domains. However, it is necessary to…

Optimization and Control · Mathematics 2022-12-08 Ishaan R Kale , Anand J Kulkarni , Efren Mezura-Montes

Many combinatorial optimisation problems hide algebraic structures that, once exposed, shrink the search space and improve the chance of finding the global optimal solution. We present a general framework that (i) identifies algebraic…

Artificial Intelligence · Computer Science 2026-04-08 Min Sun , Federica Storti , Valentina Martino , Miguel Gonzalez-Andrades , Tony Kam-Thong

Multi-agent systems can be extremely efficient when working concurrently and collaboratively, e.g., for transportation, maintenance, search and rescue. Coordination of such teams often involves two aspects: (i) selecting appropriate…

Robotics · Computer Science 2023-08-29 Zili Tang , Junfeng Chen , Meng Guo
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