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To efficiently train large-scale models, low-bit gradient communication compresses full-precision gradients on local GPU nodes into low-precision ones for higher gradient synchronization efficiency among GPU nodes. However, it often…

机器学习 · 计算机科学 2024-12-02 Xingyu Xie , Zhijie Lin , Kim-Chuan Toh , Pan Zhou

Combinatorial optimization (CO) is fundamental to several real-world applications, from logistics and scheduling to hardware design and resource allocation. Deep reinforcement learning (RL) has recently shown significant benefits in solving…

Large language models (LLMs) have emerged as promising general-purpose solvers for combinatorial optimization (CO), yet they fundamentally lack mechanisms to guarantee solution feasibility which is critical for real-world deployment. In…

人工智能 · 计算机科学 2026-02-03 Yang Liu , Chuan Zhou , Yancheng Chen , Shuai Zhang , Xixun Lin , Xiaoqing Wang

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…

机器学习 · 计算机科学 2025-01-09 Yong Liang Goh , Wee Sun Lee , Xavier Bresson , Thomas Laurent , Nicholas Lim

Optimizing the trade-off among predictive performance and computational cost is a central focus in the deployment of Large Language Models (LLMs). Current routing methods primarily rely on direct mapping from queries to models based on…

人工智能 · 计算机科学 2026-05-26 Bo Lv , Jingbo Sun

Recent advances in Neural Combinatorial Optimization (NCO) methods have significantly improved the capability of neural solvers to handle synthetic routing instances. Nonetheless, existing neural solvers typically struggle to generalize…

人工智能 · 计算机科学 2026-01-30 Jianghan Zhu , Yaoxin Wu , Zhuoyi Lin , Zhengyuan Zhang , Haiyan Yin , Zhiguang Cao , Senthilnath Jayavelu , Xiaoli Li

From logistics to the natural sciences, combinatorial optimisation on graphs underpins numerous real-world applications. Reinforcement learning (RL) has shown particular promise in this setting as it can adapt to specific problem structures…

机器学习 · 计算机科学 2022-05-30 Thomas D. Barrett , Christopher W. F. Parsonson , Alexandre Laterre

Neural models have shown promise in solving NP-hard graph combinatorial optimization (CO) problems. Once trained, they offer fast inference and reasonably high-quality solutions for in-distribution testing instances, but they generally fall…

机器学习 · 计算机科学 2025-11-26 Jialiang Li , Weitong Chen , Mingyu Guo

The combination of exponentially large action spaces, stochastic dynamics, and long-horizon decision-making under limited resources makes Sequential Stochastic Combinatorial Optimization (SSCO) particularly challenging for reinforcement…

机器学习 · 计算机科学 2026-05-19 Vivienne Huiling Wang , Tinghuai Wang , Joni Pajarinen

We present a learning-based approach to computing solutions for certain NP-hard problems. Our approach combines deep learning techniques with useful algorithmic elements from classic heuristics. The central component is a graph…

机器学习 · 计算机科学 2018-10-26 Zhuwen Li , Qifeng Chen , Vladlen Koltun

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

Many decision-making problems in engineering applications such as transportation, power system and operations research require repeatedly solving large-scale linear programming problems with a large number of different inputs. For example,…

最优化与控制 · 数学 2020-06-11 Yize Chen , Baosen Zhang

Heterogeneous graph neural networks (HGNNs) have been widely applied in heterogeneous information network tasks, while most HGNNs suffer from poor scalability or weak representation when they are applied to large-scale heterogeneous graphs.…

机器学习 · 计算机科学 2022-11-23 Ziming Wan , Deqing Wang , Xuehua Ming , Fuzhen Zhuang , Chenguang Du , Ting Jiang , Zhengyang Zhao

Heuristics have achieved great success in solving combinatorial optimization problems~(COPs). However, heuristics designed by humans require too much domain knowledge and testing time. Since Large Language Models~(LLMs) possess strong…

人工智能 · 计算机科学 2025-06-23 Hui Wang , Xufeng Zhang , Chaoxu Mu

Large Vision-Language Models (LVLMs) are an extension of Large Language Models (LLMs) that facilitate processing both image and text inputs, expanding AI capabilities. However, LVLMs struggle with object hallucinations due to their reliance…

计算与语言 · 计算机科学 2024-08-12 Avshalom Manevich , Reut Tsarfaty

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

Combinatorial Optimization underpins many real-world applications and yet, designing performant algorithms to solve these complex, typically NP-hard, problems remains a significant research challenge. Reinforcement Learning (RL) provides a…

Large language models (LLMs) continue to face challenges in reliably solving reasoning tasks, particularly those that require precise rule following, as often found in mathematical reasoning. This paper introduces a novel neurosymbolic…

机器学习 · 计算机科学 2025-11-19 Varun Dhanraj , Chris Eliasmith

In this paper, we propose a hybrid framework to solve large-scale permutation-based combinatorial problems effectively using a high-performance quadratic unconstrained binary optimization (QUBO) solver. To do so, transformations are…

最优化与控制 · 数学 2021-07-07 Siong Thye Goh , Sabrish Gopalakrishnan , Jianyuan Bo , Hoong Chuin Lau

Recently, deep reinforcement learning (DRL) frameworks have shown potential for solving NP-hard routing problems such as the traveling salesman problem (TSP) without problem-specific expert knowledge. Although DRL can be used to solve…

机器学习 · 计算机科学 2021-10-28 Minsu Kim , Jinkyoo Park , Joungho Kim