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Grouping problems aim to partition a set of items into multiple mutually disjoint subsets according to some specific criterion and constraints. Grouping problems cover a large class of important combinatorial optimization problems that are…

Artificial Intelligence · Computer Science 2016-04-04 Yangming Zhou , Jin-Kao Hao , Béatrice Duval

Recent studies in using deep learning to solve routing problems focus on construction heuristics, the solutions of which are still far from optimality. Improvement heuristics have great potential to narrow this gap by iteratively refining a…

Artificial Intelligence · Computer Science 2020-05-12 Yaoxin Wu , Wen Song , Zhiguang Cao , Jie Zhang , Andrew Lim

Most Probable Explanation (MPE) inference in Probabilistic Graphical Models (PGMs) is a fundamental yet computationally challenging problem arising in domains such as diagnosis, planning, and structured prediction. In many practical…

Artificial Intelligence · Computer Science 2026-02-03 Brij Malhotra , Shivvrat Arya , Tahrima Rahman , Vibhav Giridhar Gogate

Manually designing (meta-)heuristics for the Vehicle Routing Problem (VRP) is a challenging task that requires significant domain expertise. Recently, data-driven approaches have emerged as a promising solution, automatically learning…

Neural and Evolutionary Computing · Computer Science 2025-05-23 Saining Liu , Yi Mei , Mengjie Zhang

The application of learning based methods to vehicle routing problems has emerged as a pivotal area of research in combinatorial optimization. These problems are characterized by vast solution spaces and intricate constraints, making…

Machine Learning · Computer Science 2025-03-14 Zhenwei Wang , Ruibin Bai , Tiehua Zhang

Large Neighborhood Search (LNS) is a universal approach that is broadly applicable and has proven to be highly efficient in practice for solving optimization problems. We propose to integrate machine learning (ML) into LNS to assist in…

Machine Learning · Computer Science 2024-03-15 Willem Feijen , Guido Schäfer , Koen Dekker , Seppo Pieterse

The digital transformation is pushing the existing network technologies towards new horizons, enabling new applications (e.g., vehicular networks). As a result, the networking community has seen a noticeable increase in the requirements of…

Networking and Internet Architecture · Computer Science 2021-09-01 Paul Almasan , José Suárez-Varela , Bo Wu , Shihan Xiao , Pere Barlet-Ros , Albert Cabellos-Aparicio

Locally supervised learning aims to train a neural network based on a local estimation of the global loss function at each decoupled module of the network. Auxiliary networks are typically appended to the modules to approximate the gradient…

Machine Learning · Computer Science 2022-08-02 Hasnain Irshad Bhatti , Jaekyun Moon

Combinatorial optimization problems are encountered in many practical contexts such as logistics and production, but exact solutions are particularly difficult to find and usually NP-hard for considerable problem sizes. To compute…

Machine Learning · Computer Science 2023-05-22 Jonas K. Falkner , Daniela Thyssens , Ahmad Bdeir , Lars Schmidt-Thieme

Local search is a basic building block in memetic algorithms. Guided Local Search (GLS) can improve the efficiency of local search. By changing the guide function, GLS guides a local search to escape from locally optimal solutions and find…

Artificial Intelligence · Computer Science 2017-09-25 Jialong Shi , Qingfu Zhang , Edward Tsang

We consider distributed optimization under communication constraints for training deep learning models. We propose a new algorithm, whose parameter updates rely on two forces: a regular gradient step, and a corrective direction dictated by…

Machine Learning · Computer Science 2022-04-29 Yunfei Teng , Wenbo Gao , Francois Chalus , Anna Choromanska , Donald Goldfarb , Adrian Weller

Vehicle routing problem (VRP) is a typical discrete combinatorial optimization problem, and many models and algorithms have been proposed to solve the VRP and its variants. Although existing approaches have contributed a lot to the…

Machine Learning · Computer Science 2022-02-22 Bingjie Li , Guohua Wu , Yongming He , Mingfeng Fan , Witold Pedrycz

The recent end-to-end neural solvers have shown promise for small-scale routing problems but suffered from limited real-time scaling-up performance. This paper proposes GLOP (Global and Local Optimization Policies), a unified hierarchical…

Artificial Intelligence · Computer Science 2024-07-23 Haoran Ye , Jiarui Wang , Helan Liang , Zhiguang Cao , Yong Li , Fanzhang Li

Lazy search algorithms can efficiently solve problems where edge evaluation is the bottleneck in computation, as is the case for robotic motion planning. The optimal algorithm in this class, LazySP, lazily restricts edge evaluation to only…

Robotics · Computer Science 2019-07-24 Aditya Mandalika , Sanjiban Choudhury , Oren Salzman , Siddhartha Srinivasa

We introduce Limited Rollout Beam Search (LRBS), a beam search strategy for deep reinforcement learning (DRL) based combinatorial optimization improvement heuristics. Utilizing pre-trained models on the Euclidean Traveling Salesperson…

Machine Learning · Computer Science 2024-12-16 Federico Julian Camerota Verdù , Lorenzo Castelli , Luca Bortolussi

Towards designing learned optimization algorithms that are usable beyond their training setting, we identify key principles that classical algorithms obey, but have up to now, not been used for Learning to Optimize (L2O). Following these…

Machine Learning · Computer Science 2025-09-19 Camille Castera , Peter Ochs

Local search is an important class of incomplete algorithms for solving Distributed Constraint Optimization Problems (DCOPs) but it often converges to poor local optima. While Generalized Distributed Breakout Algorithm (GDBA) provides a…

Artificial Intelligence · Computer Science 2026-01-13 Yanchen Deng , Xinrun Wang , Bo An

Global routing has been a historically challenging problem in electronic circuit design, where the challenge is to connect a large and arbitrary number of circuit components with wires without violating the design rules for the printed…

Machine Learning · Computer Science 2019-06-24 Haiguang Liao , Wentai Zhang , Xuliang Dong , Barnabas Poczos , Kenji Shimada , Levent Burak Kara

This paper reviews the current progress in applying machine learning (ML) tools to solve NP-hard combinatorial optimization problems, with a focus on routing problems such as the traveling salesman problem (TSP) and the vehicle routing…

Artificial Intelligence · Computer Science 2025-10-09 Fangting Zhou , Attila Lischka , Balazs Kulcsar , Jiaming Wu , Morteza Haghir Chehreghani , Gilbert Laporte

Learn to Optimize (L2O) trains deep neural network-based solvers for optimization, achieving success in accelerating convex problems and improving non-convex solutions. However, L2O lacks rigorous theoretical backing for its own training…

Machine Learning · Computer Science 2025-12-24 Qingyu Song , Wei Lin , Hong Xu
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