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We study the generalization capability of Unsupervised Learning in solving the Travelling Salesman Problem (TSP). We use a Graph Neural Network (GNN) trained with a surrogate loss function to generate an embedding for each node. We use…

Artificial Intelligence · Computer Science 2024-11-20 Yimeng Min , Carla P. Gomes

Deep reinforcement learning (RL) has proved to be a competitive heuristic for solving small-sized instances of traveling salesman problems (TSP), but its performance on larger-sized instances is insufficient. Since training on large…

Machine Learning · Computer Science 2021-10-08 Wenbin Ouyang , Yisen Wang , Paul Weng , Shaochen Han

This paper introduces a new learning-based approach for approximately solving the Travelling Salesman Problem on 2D Euclidean graphs. We use deep Graph Convolutional Networks to build efficient TSP graph representations and output tours in…

Machine Learning · Computer Science 2019-10-15 Chaitanya K. Joshi , Thomas Laurent , Xavier Bresson

The Travelling Salesman Problem (TSP) is a challenging graph task in combinatorial optimization that requires reasoning about both local node neighborhoods and global graph structure. In this paper, we propose to use the novel Graph…

Artificial Intelligence · Computer Science 2020-07-10 Amal Nammouchi , Hakim Ghazzai , Yehia Massoud

This paper presents a framework to tackle combinatorial optimization problems using neural networks and reinforcement learning. We focus on the traveling salesman problem (TSP) and train a recurrent network that, given a set of city…

Artificial Intelligence · Computer Science 2017-01-16 Irwan Bello , Hieu Pham , Quoc V. Le , Mohammad Norouzi , Samy Bengio

Recently, deep reinforcement learning (DRL) models have shown promising results in solving NP-hard Combinatorial Optimization (CO) problems. However, most DRL solvers can only scale to a few hundreds of nodes for combinatorial optimization…

Machine Learning · Computer Science 2022-10-26 Ruizhong Qiu , Zhiqing Sun , Yiming Yang

The traveling salesman problem is a fundamental combinatorial optimization problem with strong exact algorithms. However, as problems scale up, these exact algorithms fail to provide a solution in a reasonable time. To resolve this, current…

Machine Learning · Computer Science 2025-01-09 Yong Liang Goh , Wee Sun Lee , Xavier Bresson , Thomas Laurent , Nicholas Lim

There has been a growing number of machine learning methods for approximately solving the travelling salesman problem. However, these methods often require solved instances for training or use complex reinforcement learning approaches that…

Machine Learning · Computer Science 2022-07-28 Elīza Gaile , Andis Draguns , Emīls Ozoliņš , Kārlis Freivalds

In recent years deep reinforcement learning (RL) systems have attained superhuman performance in a number of challenging task domains. However, a major limitation of such applications is their demand for massive amounts of training data. A…

This paper gives a detailed review of reinforcement learning (RL) in combinatorial optimization, introduces the history of combinatorial optimization starting in the 1950s, and compares it with the RL algorithms of recent years. This paper…

Machine Learning · Computer Science 2023-10-04 Yunhao Yang , Andrew Whinston

Reinforcement Learning (RL) is an important machine learning paradigm for solving sequential decision-making problems. Recent years have witnessed remarkable progress in this field due to the rapid development of deep neural networks.…

Machine Learning · Computer Science 2026-04-08 Chaofan Pan , Xin Yang , Yanhua Li , Wei Wei , Tianrui Li , Bo An , Jiye Liang

Reinforcement learning (RL) has been widely applied to dynamic routing, modulation and spectrum assignment (RMSA) in optical networks, yet no prior work has trained a transformer model for this task. We attribute this to the high data and…

Networking and Internet Architecture · Computer Science 2026-05-19 Michael Doherty , Alejandra Beghelli , Laura Toni

Deep learning (DL) has transformed applications in a variety of domains, including computer vision, natural language processing, and tabular data analysis. The search for improved DL model accuracy has led practitioners to explore…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-10 Kabir Nagrecha

Recent work applying deep reinforcement learning (DRL) to solve traveling salesman problems (TSP) has shown that DRL-based solvers can be fast and competitive with TSP heuristics for small instances, but do not generalize well to larger…

Machine Learning · Computer Science 2021-10-07 Wenbin Ouyang , Yisen Wang , Shaochen Han , Zhejian Jin , Paul Weng

In scheduling problems common in the industry and various real-world scenarios, responding in real-time to disruptive events is essential. Recent methods propose the use of deep reinforcement learning (DRL) to learn policies capable of…

Artificial Intelligence · Computer Science 2024-01-31 Imanol Echeverria , Maialen Murua , Roberto Santana

Reinforcement learning (RL) is an effective method of finding reasoning pathways in incomplete knowledge graphs (KGs). To overcome the challenges of a large action space, a self-supervised pre-training method is proposed to warm up the…

Computation and Language · Computer Science 2025-04-17 Ying Ma , Owen Burns , Mingqiu Wang , Gang Li , Nan Du , Laurent El Shafey , Liqiang Wang , Izhak Shafran , Hagen Soltau

Proper parameter configuration is a prerequisite for the success of Evolutionary Algorithms (EAs). While various adaptive strategies have been proposed, it remains an open question whether all control dimensions contribute equally to…

Neural and Evolutionary Computing · Computer Science 2026-03-24 Hongyu Wang , Yuhan Jing , Yibing Shi , Enjin Zhou , Haotian Zhang , Jialong Shi

Large Language Models (LLMs) are deep learning models designed to generate text based on textual input. Although researchers have been developing these models for more complex tasks such as code generation and general reasoning, few efforts…

Computation and Language · Computer Science 2024-05-06 Mahmoud Masoud , Ahmed Abdelhay , Mohammed Elhenawy

Deep reinforcement learning (DRL) has recently shown its success in tackling complex combinatorial optimization problems. When these problems are extended to multiobjective ones, it becomes difficult for the existing DRL approaches to…

Artificial Intelligence · Computer Science 2022-02-15 Zizhen Zhang , Zhiyuan Wu , Hang Zhang , Jiahai Wang

Deep Reinforcement Learning (DRL) has shown a dramatic improvement in decision-making and automated control problems. Consequently, DRL represents a promising technique to efficiently solve many relevant optimization problems (e.g.,…

Networking and Internet Architecture · Computer Science 2022-10-10 Paul Almasan , José Suárez-Varela , Krzysztof Rusek , Pere Barlet-Ros , Albert Cabellos-Aparicio
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