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The field of neural combinatorial optimization (NCO) trains neural policies to solve NP-hard problems such as the traveling salesperson problem (TSP). We ask whether, beyond producing good tours, a trained TSP solver learns internal…

机器学习 · 计算机科学 2026-02-10 Reuben Narad , Léonard Boussioux , Michael Wagner

Recent works using deep learning to solve the Traveling Salesman Problem (TSP) have focused on learning construction heuristics. Such approaches find TSP solutions of good quality but require additional procedures such as beam search and…

机器学习 · 计算机科学 2020-09-15 Paulo R. de O. da Costa , Jason Rhuggenaath , Yingqian Zhang , Alp Akcay

Meta-heuristics are frequently used to tackle NP-hard combinatorial optimization problems. With this paper we contribute to the understanding of the success of 2-opt based local search algorithms for solving the traveling salesman problem…

数据结构与算法 · 计算机科学 2012-08-14 Olaf Mersmann , Bernd Bischl , Heike Trautmann , Markus Wagner , Frank Neumann

The Traveling Salesman Problem (TSP) is one of the classic and hard problems in combinatorial optimization. We develop a new heuristic that uses a connection between Minimum Cost Flow Problems and the TSP to improve on a given suboptimal…

最优化与控制 · 数学 2026-03-30 Steffen Borgwardt , Zachary Sorenson

Due to the large memory footprint of untrimmed videos, current state-of-the-art video localization methods operate atop precomputed video clip features. These features are extracted from video encoders typically trained for trimmed action…

计算机视觉与模式识别 · 计算机科学 2021-08-18 Humam Alwassel , Silvio Giancola , Bernard Ghanem

It is broadly known that deep neural networks are susceptible to being fooled by adversarial examples with perturbations imperceptible by humans. Various defenses have been proposed to improve adversarial robustness, among which adversarial…

机器学习 · 计算机科学 2023-03-30 Wei Wei , Jiahuan Zhou , Ying Wu

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…

机器学习 · 计算机科学 2022-10-26 Ruizhong Qiu , Zhiqing Sun , Yiming Yang

Large Neighborhood Search (LNS) is a common heuristic in combinatorial optimization that iteratively searches over a large neighborhood of the current solution for a better one. Recently, neural network-based LNS solvers have achieved great…

机器学习 · 计算机科学 2025-08-25 Shengyu Feng , Zhiqing Sun , Yiming Yang

State-of-the-art techniques in weakly-supervised semantic segmentation (WSSS) using image-level labels exhibit severe performance degradation on driving scene datasets such as Cityscapes. To address this challenge, we develop a new WSSS…

计算机视觉与模式识别 · 计算机科学 2024-01-19 Dongseob Kim , Seungho Lee , Junsuk Choe , Hyunjung Shim

Acquisition of training data for the standard semantic segmentation is expensive if requiring that each pixel is labeled. Yet, current methods significantly deteriorate in weakly supervised settings, e.g. where a fraction of pixels is…

计算机视觉与模式识别 · 计算机科学 2021-10-13 Dmitrii Marin , Yuri Boykov

The Multiple Traveling Salesman Problem (mTSP) extends the Traveling Salesman Problem to m tours that start and end at a common depot and jointly visit all customers exactly once. In the min-max variant, the objective is to minimize the…

人工智能 · 计算机科学 2026-03-02 Guillem Rodríguez-Corominas , Maria J. Blesa , Christian Blum

Reinforcement learning (RL) offers a principled way to enhance the reasoning capabilities of large language models, yet its effectiveness hinges on training signals that remain informative as models evolve. In practice, RL progress often…

人工智能 · 计算机科学 2026-05-05 Caijun Xu , Changyi Xiao , Zhongyuan Peng , Xinrun Wang , Yixin Cao

We aim at accelerating super-resolution (SR) networks on large images (2K-8K). The large images are usually decomposed into small sub-images in practical usages. Based on this processing, we found that different image regions have different…

计算机视觉与模式识别 · 计算机科学 2021-03-09 Xiangtao Kong , Hengyuan Zhao , Yu Qiao , Chao Dong

The Steiner Traveling Salesman Problem (STSP) is a variant of the Traveling Salesman Problem (TSP) that is particularly suitable when dealing with sparse networks, such as road networks. The standard integer programming formulation of the…

最优化与控制 · 数学 2012-03-20 Adam N. Letchford , Saeideh D. Nasiri , Dirk Oliver Theis

This paper presents a novel and efficient heuristic framework for approximating the solutions to the multiple traveling salesmen problem (m-TSP) and other variants on the TSP. The approach adopted in this paper is an extension of the…

最优化与控制 · 数学 2016-04-15 Mayank Baranwal , Brian Roehl , Srinivasa M. Salapaka

The author would like to propose a simple but yet effective method, convex layers, nearest neighbor and triangle inequality, to approach the Traveling Salesman Problem (TSP). No computer is needed in this method. This method is designed for…

其他计算机科学 · 计算机科学 2012-04-12 Sing Liew

The Multi-Traveling Salesman Problem (MTSP) is a commonly used mathematical model for multi-agent task allocation. However, as the number of agents and task targets increases, existing optimization-based methods often incur prohibitive…

系统与控制 · 电气工程与系统科学 2025-12-01 Xiubin Chen

In order to deal with the high development time of exact and approximation algorithms for NP-hard combinatorial optimisation problems and the high running time of exact solvers, deep learning techniques have been used in recent years as an…

机器学习 · 计算机科学 2021-04-20 James Fitzpatrick , Deepak Ajwani , Paula Carroll

Training Large Language Models (LLMs) with Group Relative Policy Optimization (GRPO) encounters a significant challenge: models often fail to produce accurate responses, particularly in small-scale architectures. This limitation not only…

计算与语言 · 计算机科学 2025-10-10 Fu Chen , Peng Wang , Xiyin Li , Wen Li , Shichi Lei , Dongdong Xiang

In the Traveling Salesman Problem (TSP), a list of cities and the distances between them are given. The goal is to find the shortest possible route that visits each city exactly once and returns to the original city. The TSP has a wide…

最优化与控制 · 数学 2019-06-17 Johnny Seay , Edwin Gonzalez , Stephen Lowe , Jesse Crawford , Bryant Wyatt