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Integrating combinatorial optimization layers into neural networks has recently attracted significant research interest. However, many existing approaches lack theoretical guarantees or fail to perform adequately when relying on inexact…

Machine Learning · Computer Science 2025-09-30 Germain Vivier-Ardisson , Mathieu Blondel , Axel Parmentier

Neighborhood search is a cornerstone of state-of-the-art traveling salesman and vehicle routing metaheuristics. While neighborhood exploration procedures are well developed for problems with individual services, their counterparts for…

Optimization and Control · Mathematics 2022-08-23 Toni Pacheco , Rafael Martinelli , Anand Subramanian , Túlio A. M. Toffolo , Thibaut Vidal

Complex real-life routing challenges can be modeled as variations of well-known combinatorial optimization problems. These routing problems have long been studied and are difficult to solve at scale. The particular setting may also make…

Neural and Evolutionary Computing · Computer Science 2020-09-23 Marijn van Knippenberg , Mike Holenderski , Vlado Menkovski

Driving in the dynamic, multi-agent, and complex urban environment is a difficult task requiring a complex decision policy. The learning of such a policy requires a state representation that can encode the entire environment. Mid-level…

Robotics · Computer Science 2020-03-03 Eshagh Kargar , Ville Kyrki

This paper develops a computationally efficient algorithm for the Multiple Vehicle Pickup and Delivery Problem (MVPDP) with the objective of minimizing the tour cost incurred while completing the task of pickup and delivery of customers. To…

Optimization and Control · Mathematics 2018-05-15 Jinsun Liu , Hyongju Park , Matthew Johnson-Roberson , Ram Vasudevan

The binding problem in human cognition, concerning how the brain represents and connects objects within a fixed network of neural connections, remains a subject of intense debate. Most machine learning efforts addressing this issue in an…

Machine Learning · Computer Science 2023-10-18 Sindy Löwe , Phillip Lippe , Francesco Locatello , Max Welling

Applying local search algorithms to combinatorial optimization problems is not an easy feat. Typically, human intervention is required to compile the constraints to input data for some metaheuristic algorithm. In this paper, we establish a…

Artificial Intelligence · Computer Science 2026-05-20 Jo Devriendt , Patrick De Causmaecker , Marc Denecker

Modern computer networks support interesting new routing models in which traffic flows from a source s to a destination t can be flexibly steered through a sequence of waypoints, such as (hardware) middleboxes or (virtualized) network…

Networking and Internet Architecture · Computer Science 2017-09-04 Saeed Akhoondian Amiri , Klaus-Tycho Foerster , Riko Jacob , Stefan Schmid

The Clustered Vehicle Routing Problem (CluVRP) is a variant of the Capacitated Vehicle Routing Problem in which customers are grouped into clusters. Each cluster has to be visited once, and a vehicle entering a cluster cannot leave it until…

Artificial Intelligence · Computer Science 2014-04-29 Thibaut Vidal , Maria Battarra , Anand Subramanian , Güneş Erdoǧan

We present an end-to-end framework for solving the Vehicle Routing Problem (VRP) using reinforcement learning. In this approach, we train a single model that finds near-optimal solutions for problem instances sampled from a given…

Artificial Intelligence · Computer Science 2018-05-23 Mohammadreza Nazari , Afshin Oroojlooy , Lawrence V. Snyder , Martin Takáč

The number of optimization techniques in the combinatorial domain is large and diversified. Nevertheless, real-world based benchmarks for testing algorithms are few. This work creates an extensible real-world mail delivery benchmark to the…

Artificial Intelligence · Computer Science 2018-01-03 Luis A. A. Meira , Paulo S. Martins , Mauro Menzori , Guilherme A. Zeni

Robot localization is an inverse problem of finding a robot's pose using a map and sensor measurements. In recent years, Invertible Neural Networks (INNs) have successfully solved ambiguous inverse problems in various fields. This paper…

Robotics · Computer Science 2022-09-27 Zirui Zang , Hongrui Zheng , Johannes Betz , Rahul Mangharam

Implicit Neural Representations (INRs) have emerged as a paradigm in knowledge representation, offering exceptional flexibility and performance across a diverse range of applications. INRs leverage multilayer perceptrons (MLPs) to model…

Computer Vision and Pattern Recognition · Computer Science 2025-02-19 Amer Essakine , Yanqi Cheng , Chun-Wun Cheng , Lipei Zhang , Zhongying Deng , Lei Zhu , Carola-Bibiane Schönlieb , Angelica I Aviles-Rivero

The paper presents a study of local search heuristics in general and variable neighborhood search in particular for the resolution of an assignment problem studied in the practical work of universities. Here, students have to be assigned to…

Artificial Intelligence · Computer Science 2008-09-08 Martin Josef Geiger , Wolf Wenger

We present the first empirical evaluation of techniques for encoding distributions of quantitative edge values within adjacency matrices. In many real-world networks, edges represent not a single value but a set of measurements. While…

Human-Computer Interaction · Computer Science 2026-04-17 Jorge Acosta-Hernández , Alexander Lex , Tingying He

Automating the solutions of multiple network information theory problems, stretching from fundamental concerns such as determining all information inequalities and the limitations of linear codes, to applied ones such as designing coded…

Information Theory · Computer Science 2017-07-10 Jayant Apte , John MacLaren Walsh

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

Designing an embedding retrieval system requires navigating a complex design space of conflicting trade-offs between efficiency and effectiveness. This work structures these decisions as a vertical traversal of the system design stack. We…

Information Retrieval · Computer Science 2026-01-29 Deep Shah , Sanket Badhe , Nehal Kathrotia

In this paper, we study the complexity of computing locally optimal solutions for weighted versions of standard set problems such as SetCover, SetPacking, and many more. For our investigation, we use the framework of PLS, as defined in…

Computational Complexity · Computer Science 2015-05-18 Dominic Dumrauf , Tim Süß

The Mixed-Shelves Picker Routing Problem (MSPRP) is a fundamental challenge in warehouse logistics, where pickers must navigate a mixed-shelves environment to retrieve SKUs efficiently. Traditional heuristics and optimization-based…

Multiagent Systems · Computer Science 2025-02-17 Laurin Luttmann , Lin Xie