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Existing neural constructive solvers for routing problems have predominantly employed transformer architectures, conceptualizing the route construction as a set-to-sequence learning task. However, their efficacy has primarily been…

机器学习 · 计算机科学 2024-08-08 Yong Liang Goh , Zhiguang Cao , Yining Ma , Yanfei Dong , Mohammed Haroon Dupty , Wee Sun Lee

In this work we focus on the well-known Euclidean Traveling Salesperson Problem (TSP) and two highly competitive inexact heuristic TSP solvers, EAX and LKH, in the context of per-instance algorithm selection (AS). We evolve instances with…

机器学习 · 计算机科学 2020-06-30 Moritz Seiler , Janina Pohl , Jakob Bossek , Pascal Kerschke , Heike Trautmann

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…

机器学习 · 计算机科学 2021-10-08 Wenbin Ouyang , Yisen Wang , Paul Weng , Shaochen Han

Recent years have witnessed the promise that reinforcement learning, coupled with Graph Neural Network (GNN) architectures, could learn to solve hard combinatorial optimization problems: given raw input data and an evaluator to guide the…

人工智能 · 计算机科学 2022-01-04 Matteo Boffa , Zied Ben Houidi , Jonatan Krolikowski , Dario Rossi

In this work we introduce an evolutionary strategy to solve combinatorial optimization tasks, i.e. problems characterized by a discrete search space. In particular, we focus on the Traveling Salesman Problem (TSP), i.e. a famous problem…

无序系统与神经网络 · 物理学 2016-08-05 Marco Alberto Javarone

In recent years, there has been a notable surge in research on machine learning techniques for combinatorial optimization. It has been shown that learning-based methods outperform traditional heuristics and mathematical solvers on the…

机器学习 · 计算机科学 2024-03-05 Shiqing Liu , Xueming Yan , Yaochu Jin

The Clustered Traveling Salesman Problem (CTSP) is a variant of the popular Traveling Salesman Problem (TSP) arising from a number of real-life applications. In this work, we explore a transformation approach that solves the CTSP by…

人工智能 · 计算机科学 2022-04-15 Yongliang Lu , Jin-Kao Hao , Qinghua Wu

The travelling salesperson problem (TSP) is a classic resource allocation problem used to find an optimal order of doing a set of tasks while minimizing (or maximizing) an associated objective function. It is widely used in robotics for…

机器人学 · 计算机科学 2022-07-19 Ishaan Mehta , Sharareh Taghipour , Sajad Saeedi

The recently presented idea to learn heuristics for combinatorial optimization problems is promising as it can save costly development. However, to push this idea towards practical implementation, we need better models and better ways of…

机器学习 · 统计学 2019-02-08 Wouter Kool , Herke van Hoof , Max Welling

We show that the traveling salesman problem (TSP) and its many variants may be modeled as functional optimization problems over a graph. In this formulation, all vertices and arcs of the graph are functionals; i.e., a mapping from a space…

最优化与控制 · 数学 2020-05-08 I. M. Ross , R. J. Proulx , M. Karpenko

Combinatorial optimization problems like the Traveling Salesman Problem are critical in industry yet NP-hard. Neural Combinatorial Optimization has shown promise, but its reliance on online reinforcement learning (RL) hampers deployment and…

机器学习 · 计算机科学 2026-03-27 Hironori Ohigashi , Shinichiro Hamada

This work presents solutions to the Traveling Salesperson Problem with precedence constraints (TSPPC) using Deep Reinforcement Learning (DRL) by adapting recent approaches that work well for regular TSPs. Common to these approaches is the…

Non-autoregressive (NAR) language models are known for their low latency in neural machine translation (NMT). However, a performance gap exists between NAR and autoregressive models due to the large decoding space and difficulty in…

计算与语言 · 计算机科学 2024-07-03 Hao Wang , Tetsuro Morimura , Ukyo Honda , Daisuke Kawahara

While there are optimal TSP solvers, as well as recent learning-based approaches, the generalization of the TSP to the Multiple Traveling Salesmen Problem is much less studied. Here, we design a neural network solution that treats the…

机器学习 · 计算机科学 2019-02-18 Yoav Kaempfer , Lior Wolf

Traveling Salesman Problem (TSP) is a classic NP-hard problem that has garnered significant attention from both academia and industry. While neural-based methods have shown promise for solving TSPs, they still face challenges in scaling to…

机器学习 · 计算机科学 2026-04-16 Tongkai Lu , Shuai Ma , Chongyang Tao

The autoregressive (AR) models, such as attention-based encoder-decoder models and RNN-Transducer, have achieved great success in speech recognition. They predict the output sequence conditioned on the previous tokens and acoustic encoded…

音频与语音处理 · 电气工程与系统科学 2022-04-06 Zhengkun Tian , Jiangyan Yi , Jianhua Tao , Ye Bai , Shuai Zhang , Zhengqi Wen , Xuefei Liu

Deep learning has been extended to a number of new domains with critical success, though some traditional orienteering problems such as the Travelling Salesman Problem (TSP) and its variants are not commonly solved using such techniques.…

机器学习 · 计算机科学 2019-03-11 Wei Shao , Flora D. Salim , Jeffrey Chan , Sean Morrison , Fabio Zambetta

Many real-world problems can be formulated as a constrained Traveling Salesman Problem (TSP). However, the constraints are always complex and numerous, making the TSPs challenging to solve. When the number of complicated constraints grows,…

人工智能 · 计算机科学 2024-03-11 Jingxiao Chen , Ziqin Gong , Minghuan Liu , Jun Wang , Yong Yu , Weinan Zhang

This paper proposes an algorithmic method to heuristically solve the famous Travelling Salesman Problem (TSP) when the salesman's path evolves in continuous state space and discrete time but with otherwise arbitrary (nonlinear) dynamics.…

最优化与控制 · 数学 2021-03-02 Alexander Weber , Alexander Knoll

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…

机器学习 · 计算机科学 2021-10-07 Wenbin Ouyang , Yisen Wang , Shaochen Han , Zhejian Jin , Paul Weng