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The Traveling Salesman Problem (TSP) is a well-known combinatorial optimization problem with broad real-world applications. Recently, neural networks have gained popularity in this research area because as shown in the literature, they…

人工智能 · 计算机科学 2024-10-17 Yubin Xiao , Di Wang , Boyang Li , Huanhuan Chen , Wei Pang , Xuan Wu , Hao Li , Dong Xu , Yanchun Liang , You Zhou

Neural network-based Combinatorial Optimization (CO) methods have shown promising results in solving various NP-complete (NPC) problems without relying on hand-crafted domain knowledge. This paper broadens the current scope of neural…

机器学习 · 计算机科学 2023-12-05 Zhiqing Sun , Yiming Yang

Graph-based diffusion models have shown promising results in terms of generating high-quality solutions to NP-complete (NPC) combinatorial optimization (CO) problems. However, those models are often inefficient in inference, due to the…

机器学习 · 计算机科学 2023-08-24 Junwei Huang , Zhiqing Sun , Yiming Yang

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…

机器学习 · 计算机科学 2019-10-15 Chaitanya K. Joshi , Thomas Laurent , Xavier Bresson

Diffusion models have recently advanced Combinatorial Optimization (CO) as a powerful backbone for neural solvers. However, their iterative sampling process requiring denoising across multiple noise levels incurs substantial overhead. We…

机器学习 · 计算机科学 2025-02-06 Yang Li , Jinpei Guo , Runzhong Wang , Hongyuan Zha , Junchi Yan

The Travelling Salesman Problem (TSP) is a classical NP-hard problem and has broad applications in many disciplines and industries. In a large scale location-based services system, users issue TSP queries concurrently, where a TSP query is…

人工智能 · 计算机科学 2021-04-15 Kangfei Zhao , Shengcai Liu , Yu Rong , Jeffrey Xu Yu

We propose self-diffusion, a novel framework for solving inverse problems without relying on pretrained generative models. Traditional diffusion-based approaches require training a model on a clean dataset to learn to reverse the forward…

机器学习 · 计算机科学 2025-12-09 Guanxiong Luo , Shoujin Huang , Yanlong Yang

Existing neural methods for the Travelling Salesman Problem (TSP) mostly aim at finding a single optimal solution. To discover diverse yet high-quality solutions for Multi-Solution TSP (MSTSP), we propose a novel deep reinforcement learning…

机器学习 · 计算机科学 2025-01-03 Qi Li , Zhiguang Cao , Yining Ma , Yaoxin Wu , Yue-Jiao Gong

This study explores the integration of Blackout Diffusion into the DIFUSCO framework for combinatorial optimization, specifically targeting the Traveling Salesman Problem (TSP). Inspired by the success of discrete-time diffusion models…

最优化与控制 · 数学 2025-06-06 Jun Pyo Seo

This paper presents TSPDiffuser, a novel data-driven path planner for traveling salesperson path planning problems (TSPPPs) in environments rich with obstacles. Given a set of destinations within obstacle maps, our objective is to…

机器人学 · 计算机科学 2025-02-25 Ryo Yonetani

In this paper, we provide a novel strategy for solving Traveling Salesman Problem, which is a famous combinatorial optimization problem studied intensely in the TCS community. In particular, we consider the imitation learning framework,…

机器学习 · 计算机科学 2022-10-13 Pingbang Hu

Denoising diffusion probabilistic models (DDPMs) have recently achieved leading performances in many generative tasks. However, the inherited iterative sampling process costs hinder their applications to text-to-speech deployment. Through…

音频与语音处理 · 电气工程与系统科学 2022-07-14 Rongjie Huang , Zhou Zhao , Huadai Liu , Jinglin Liu , Chenye Cui , Yi Ren

Diffusion-based Neural Combinatorial Optimization (NCO) has demonstrated effectiveness in solving NP-complete (NPC) problems by learning discrete diffusion models for solution generation, eliminating hand-crafted domain knowledge. Despite…

机器学习 · 计算机科学 2026-03-12 Haoyu Lei , Kaiwen Zhou , Yinchuan Li , Zhitang Chen , Farzan Farnia

The Traveling Salesman Problem (TSP) is a classic NP-hard combinatorial optimization task with numerous practical applications. Classic heuristic solvers can attain near-optimal performance for small problem instances, but become…

机器学习 · 计算机科学 2025-08-13 Michael Li , Eric Bae , Christopher Haberland , Natasha Jaques

Accurate long-term traffic forecasting remains a critical challenge in intelligent transportation systems, particularly when predicting high-frequency traffic phenomena such as shock waves and congestion boundaries over extended rollout…

机器学习 · 计算机科学 2025-08-28 Owais Ahmad , Milad Ramezankhani , Anirudh Deodhar

We investigate diffusion models to solve the Traveling Salesman Problem. Building on the recent DIFUSCO and T2TCO approaches, we propose IDEQ. IDEQ improves the quality of the solutions by leveraging the constrained structure of the state…

人工智能 · 计算机科学 2024-12-19 Mickael Basson , Philippe Preux

A diffusion model, which is formulated to produce an image using thousands of denoising steps, usually suffers from a slow inference speed. Existing acceleration algorithms simplify the sampling by skipping most steps yet exhibit…

计算机视觉与模式识别 · 计算机科学 2025-10-02 Mengfei Xia , Yujun Shen , Changsong Lei , Yu Zhou , Ran Yi , Deli Zhao , Wenping Wang , Yong-Jin Liu

Recently, continuous diffusion models (CDM) have been introduced into non-autoregressive (NAR) text-to-text generation. However, the discrete nature of text increases the difficulty of CDM to generate coherent and fluent texts, and also…

计算与语言 · 计算机科学 2023-05-09 Kun Zhou , Yifan Li , Wayne Xin Zhao , Ji-Rong Wen

Combinatorial Optimization (CO) problems are fundamentally important in numerous real-world applications across diverse industries, characterized by entailing enormous solution space and demanding time-sensitive response. Despite recent…

人工智能 · 计算机科学 2025-06-10 Hang Zhao , Kexiong Yu , Yuhang Huang , Renjiao Yi , Chenyang Zhu , Kai Xu

Recent advancements in neural combinatorial optimization (NCO) methods have shown promising results in generating near-optimal solutions without the need for expert-crafted heuristics. However, high performance of these approaches often…

人工智能 · 计算机科学 2025-02-13 Seong-Hyun Hong , Hyun-Sung Kim , Zian Jang , Deunsol Yoon , Hyungseok Song , Byung-Jun Lee
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