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Population-based evolutionary algorithms have great potential to handle multiobjective optimisation problems. However, these algorithms depends largely on problem characteristics, and there is a need to improve their performance for a wider…

Neural and Evolutionary Computing · Computer Science 2019-10-17 Shouyong Jiang , Hongru Li , Jinglei Guo , Mingjun Zhong , Shengxiang Yang , Marcus Kaiser , Natalio Krasnogor

A Local Optima Network (LON) is a graph model that compresses the fitness landscape of a particular combinatorial optimization problem based on a specific neighborhood operator and a local search algorithm. Determining which and how…

Neural and Evolutionary Computing · Computer Science 2020-04-30 Marcella Scoczynski Ribeiro Martins , Mohamed El Yafrani , Myriam R. B. S. Delgado , Ricardo Luders

Finding multiple solutions of non-convex optimization problems is a ubiquitous yet challenging task. Most past algorithms either apply single-solution optimization methods from multiple random initial guesses or search in the vicinity of…

Machine Learning · Computer Science 2023-03-03 Lingxiao Li , Noam Aigerman , Vladimir G. Kim , Jiajin Li , Kristjan Greenewald , Mikhail Yurochkin , Justin Solomon

We propose a new Pareto Local Search Algorithm for the many-objective combinatorial optimization. Pareto Local Search proved to be a very effective tool in the case of the bi-objective combinatorial optimization and it was used in a number…

Data Structures and Algorithms · Computer Science 2017-12-15 Andrzej Jaszkiewicz

In this paper, we propose a model for simulating search operators whose behaviour often changes continuously during the search. In these scenarios, the performance of the operators decreases when they are applied. This is motivated by the…

Artificial Intelligence · Computer Science 2019-03-11 Adrien Goëffon , Frédéric Lardeux , Frédéric Saubion

This paper surveys the recent attempts, both from the machine learning and operations research communities, at leveraging machine learning to solve combinatorial optimization problems. Given the hard nature of these problems,…

Machine Learning · Computer Science 2020-03-16 Yoshua Bengio , Andrea Lodi , Antoine Prouvost

We propose a new iterative procedure to optimize the restart for meta-heuristic algorithms to solve combinatorial optimization, which uses independent algorithm executions. The new procedure consists of either adding new executions or…

Optimization and Control · Mathematics 2017-09-20 Davide Palmigiani , Giovanni Sebastiani

As we approach the physical limits predicted by Moore's law, a variety of specialized hardware is emerging to tackle specialized tasks in different domains. Within combinatorial optimization, adiabatic quantum computers, CMOS annealers, and…

Data Structures and Algorithms · Computer Science 2020-12-01 Xiaoyuan Liu , Hayato Ushijima-Mwesigwa , Avradip Mandal , Sarvagya Upadhyay , Ilya Safro , Arnab Roy

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

Local search is a fundamental optimization technique that is both widely used in practice and deeply studied in theory, yet its computational complexity remains poorly understood. The traditional frameworks, PLS and the standard algorithm…

Computational Complexity · Computer Science 2026-01-05 Robert Ganian , Hung P. Hoang , Christian Komusiewicz , Nils Morawietz

We provide preliminary details and formulation of an optimization strategy under current development that is able to automatically tune the parameters of a Support Vector Machine over new datasets. The optimization strategy is a heuristic…

Artificial Intelligence · Computer Science 2017-07-12 Sergio Consoli , Jacek Kustra , Pieter Vos , Monique Hendriks , Dimitrios Mavroeidis

We study the task of finding good local optima in combinatorial optimization problems. Although combinatorial optimization is NP-hard in general, locally optimal solutions are frequently used in practice. Local search methods however…

Machine Learning · Statistics 2020-01-03 Uri Patish , Shimon Ullman

Many robots operating in unpredictable environments require an online path planning algorithm that can quickly compute high quality paths. Asymptotically optimal planners are capable of finding the optimal path, but can be slow to converge.…

Robotics · Computer Science 2017-08-22 Scott Paulin , Tom Botterill , XiaoQi Chen , Richard Green

Route choice is often modelled as a two-step procedure in which travellers choose their routes from small sets of promising candidates. Many methods developed to identify such choice sets rely on assumptions about the mechanisms behind the…

Systems and Control · Electrical Eng. & Systems 2021-05-10 Samuel M. Fischer

Combinatorial optimization is widely applied in a number of areas nowadays. Unfortunately, many combinatorial optimization problems are NP-hard which usually means that they are unsolvable in practice. However, it is often unnecessary to…

Data Structures and Algorithms · Computer Science 2012-07-10 Daniel Karapetyan

A number of prototypical optimization problems in multi-agent systems (e.g., task allocation and network load-sharing) exhibit a highly local structure: that is, each agent's decision variables are only directly coupled to few other agent's…

Multiagent Systems · Computer Science 2020-03-04 Robin Brown , Federico Rossi , Kiril Solovey , Michael T. Wolf , Marco Pavone

In many situations, simulation models are developed to handle complex real-world business optimisation problems. For example, a discrete-event simulation model is used to simulate the trailer management process in a big Fast-Moving Consumer…

Neural and Evolutionary Computing · Computer Science 2019-07-18 Dylan Rijnen , Jason Rhuggenaath , Paulo R. de O. da Costa , Yingqian Zhang

This paper introduces the Random-Key Optimizer (RKO), a versatile and efficient stochastic local search method tailored for combinatorial optimization problems. Using the random-key concept, RKO encodes solutions as vectors of random keys…

Neighborhood search operators are critical to the performance of Multi-Objective Evolutionary Algorithms (MOEAs) and rely heavily on expert design. Although recent LLM-based Automated Heuristic Design (AHD) methods have made notable…

Neural and Evolutionary Computing · Computer Science 2026-02-03 Junhao Qiu , Xin Chen , Liang Ge , Liyong Lin , Zhichao Lu , Qingfu Zhang

This chapter overviews a recently introduced network-based model of combinatorial landscapes: Local Optima Networks (LON). The model compresses the information given by the whole search space into a smaller mathematical object that is a…

Neural and Evolutionary Computing · Computer Science 2014-02-13 Gabriela Ochoa , Sébastien Verel , Fabio Daolio , Marco Tomassini