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Complex real-life routing challenges can be modeled as variations of well-known combinatorial optimization problems. These routing problems have long been studied and are difficult to solve at scale. The particular setting may also make…

神经与进化计算 · 计算机科学 2020-09-23 Marijn van Knippenberg , Mike Holenderski , Vlado Menkovski

In recent years new deep learning approaches to solve combinatorial optimization problems, in particular NP-hard Vehicle Routing Problems (VRP), have been proposed. The most impactful of these methods are sequential neural construction…

机器学习 · 计算机科学 2023-10-02 Jonas K. Falkner , Lars Schmidt-Thieme

Combinatorial optimization problems are typically formulated using Quadratic Unconstrained Binary Optimization (QUBO), where constraints are enforced through penalty terms that introduce auxiliary variables and rapidly increase Hamiltonian…

量子物理 · 物理学 2026-02-10 Shashank Sanjay Bhat , Peiyong Wang , Joseph West , Udaya Parampalli

Contemporary translation engines based on the encoder-decoder framework have made significant strides in development. However, the emergence of Large Language Models (LLMs) has disrupted their position by presenting the potential for…

计算与语言 · 计算机科学 2024-05-28 Jiali Zeng , Fandong Meng , Yongjing Yin , Jie Zhou

Combinatorial optimization problems involving multiple agents are notoriously challenging due to their NP-hard nature and the necessity for effective agent coordination. Despite advancements in learning-based methods, existing approaches…

多智能体系统 · 计算机科学 2025-10-23 Federico Berto , Chuanbo Hua , Laurin Luttmann , Jiwoo Son , Junyoung Park , Kyuree Ahn , Changhyun Kwon , Lin Xie , Jinkyoo Park

Recurrent Neural Networks have lately gained a lot of popularity in language modelling tasks, especially in neural machine translation(NMT). Very recent NMT models are based on Encoder-Decoder, where a deep LSTM based encoder is used to…

计算与语言 · 计算机科学 2019-05-07 Maulik Parmar , V. Susheela Devi

Recent research explores optimization using large language models (LLMs) by either iteratively seeking next-step solutions from LLMs or directly prompting LLMs for an optimizer. However, these approaches exhibit inherent limitations,…

最优化与控制 · 数学 2024-03-06 Zeyuan Ma , Hongshu Guo , Jiacheng Chen , Guojun Peng , Zhiguang Cao , Yining Ma , Yue-Jiao Gong

The practical deployment of Neural Combinatorial Optimization (NCO) for Vehicle Routing Problems (VRPs) is hindered by a critical sim-to-real gap. This gap stems not only from training on oversimplified Euclidean data but also from…

机器学习 · 计算机科学 2026-03-17 Jiwoo Son , Zhikai Zhao , Federico Berto , Chuanbo Hua , Zhiguang Cao , Changhyun Kwon , Jinkyoo Park

The omnipresence of NP-hard combinatorial optimization problems (COPs) compels domain experts to engage in trial-and-error heuristic design. The long-standing endeavor of design automation has gained new momentum with the rise of large…

神经与进化计算 · 计算机科学 2024-10-15 Haoran Ye , Jiarui Wang , Zhiguang Cao , Federico Berto , Chuanbo Hua , Haeyeon Kim , Jinkyoo Park , Guojie Song

Driving in the dynamic, multi-agent, and complex urban environment is a difficult task requiring a complex decision policy. The learning of such a policy requires a state representation that can encode the entire environment. Mid-level…

机器人学 · 计算机科学 2020-03-03 Eshagh Kargar , Ville Kyrki

Compiler auto-tuning faces a dichotomy between traditional black-box search methods, which lack semantic guidance, and recent Large Language Model (LLM) approaches, which often suffer from superficial pattern matching and causal opacity. In…

机器学习 · 计算机科学 2026-02-03 Haolin Pan , Lianghong Huang , Jinyuan Dong , Mingjie Xing , Yanjun Wu

Existing Multimodal Large Language Models (MLLMs) suffer from increased inference costs due to the additional vision tokens introduced by image inputs. In this work, we propose Visual Consistency Learning (ViCO), a novel training algorithm…

计算机视觉与模式识别 · 计算机科学 2025-12-16 Long Cui , Weiyun Wang , Jie Shao , Zichen Wen , Gen Luo , Linfeng Zhang , Yanting Zhang , Yu Qiao , Wenhai Wang

Graph neural networks (GNNs) have achieved great success for a variety of tasks such as node classification, graph classification, and link prediction. However, the use of GNNs (and machine learning more generally) to solve combinatorial…

机器学习 · 计算机科学 2024-11-26 Frederik Wenkel , Semih Cantürk , Stefan Horoi , Michael Perlmutter , Guy Wolf

Graph-structured combinatorial challenges are inherently difficult due to their nonlinear and intricate nature, often rendering traditional computational methods ineffective or expensive. However, these challenges can be more naturally…

人工智能 · 计算机科学 2025-01-22 Jie Zhao , Kang Hao Cheong , Witold Pedrycz

Recent advances in Large Language Models (LLMs) have opened new perspectives for automation in optimization. While several studies have explored how LLMs can generate or solve optimization models, far less is understood about what these…

人工智能 · 计算机科学 2025-12-16 Francesca Da Ros , Luca Di Gaspero , Kevin Roitero

Combinatorial optimization has found applications in numerous fields, from aerospace to transportation planning and economics. The goal is to find an optimal solution among a finite set of possibilities. The well-known challenge one faces…

人工智能 · 计算机科学 2020-06-03 Quentin Cappart , Thierry Moisan , Louis-Martin Rousseau , Isabeau Prémont-Schwarz , Andre Cire

Combinatorial optimization problems are typically tackled by the branch-and-bound paradigm. We propose a new graph convolutional neural network model for learning branch-and-bound variable selection policies, which leverages the natural…

机器学习 · 计算机科学 2019-10-31 Maxime Gasse , Didier Chételat , Nicola Ferroni , Laurent Charlin , Andrea Lodi

Heavy-Encoder-Light-Decoder (HELD) neural routing solvers have emerged as a promising paradigm due to their broad applicability across multiple vehicle routing problems (VRPs). However, they typically struggle with VRP variants with complex…

人工智能 · 计算机科学 2026-05-12 Canhong Yu , Changliang Zhou , Rongsheng Chen , Zhenkun Wang , Yu Zhou

Heuristic design with large language models (LLMs) has emerged as a promising approach for tackling combinatorial optimization problems (COPs). However, existing approaches often rely on manually predefined evolutionary computation (EC)…

机器学习 · 计算机科学 2026-03-25 Yiding Shi , Jianan Zhou , Wen Song , Jieyi Bi , Yaoxin Wu , Zhiguang Cao , Jie Zhang

There has been an increasing interest in harnessing deep learning to tackle combinatorial optimization (CO) problems in recent years. Typical CO deep learning approaches leverage the problem structure in the model architecture.…

人工智能 · 计算机科学 2021-02-08 Yiwei Bai , Wenting Zhao , Carla P. Gomes