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Single-stage neural combinatorial optimization solvers have achieved near-optimal results on various small-scale combinatorial optimization (CO) problems without requiring expert knowledge. However, these solvers exhibit significant…

Artificial Intelligence · Computer Science 2025-01-22 Zhi Zheng , Changliang Zhou , Tong Xialiang , Mingxuan Yuan , Zhenkun Wang

Predictive combinatorial optimization, where the parameters of combinatorial optimization (CO) are unknown at the decision-making time, is the precise modeling of many real-world applications, including energy cost-aware scheduling and…

Machine Learning · Computer Science 2024-11-21 Haoyu Geng , Hang Ruan , Runzhong Wang , Yang Li , Yang Wang , Lei Chen , Junchi Yan

Combinatorial optimization (CO) is essential for improving efficiency and performance in engineering applications. As complexity increases with larger problem sizes and more intricate dependencies, identifying the optimal solution become…

Computational Engineering, Finance, and Science · Computer Science 2025-10-30 Shuo Jiang , Min Xie , Jianxi Luo

Combinatorial optimization problems are pervasive across science and industry. Modern deep learning tools are poised to solve these problems at unprecedented scales, but a unifying framework that incorporates insights from statistical…

Machine Learning · Computer Science 2022-04-26 Martin J. A. Schuetz , J. Kyle Brubaker , Helmut G. Katzgraber

Unsupervised neural combinatorial optimization (NCO) offers an appealing alternative to supervised approaches by training learning-based solvers without ground-truth solutions, directly minimizing instance objectives and constraint…

Machine Learning · Computer Science 2026-03-13 Kien X. Nguyen , Ilya Safro

Machine learning has increasingly been employed to solve NP-hard combinatorial optimization problems, resulting in the emergence of neural solvers that demonstrate remarkable performance, even with minimal domain-specific knowledge. To…

Optimization and Control · Mathematics 2025-05-27 Chengrui Gao , Haopu Shang , Ke Xue , Chao Qian

Curriculum learning provides a systematic approach to training. It refines training progressively, tailors training to task requirements, and improves generalization through exposure to diverse examples. We present a curriculum learning…

Computation and Language · Computer Science 2023-11-23 Nidhi Vakil , Hadi Amiri

Neural approaches for combinatorial optimization (CO) equip a learning mechanism to discover powerful heuristics for solving complex real-world problems. While neural approaches capable of high-quality solutions in a single shot are…

Machine Learning · Computer Science 2022-11-18 Jinho Choo , Yeong-Dae Kwon , Jihoon Kim , Jeongwoo Jae , André Hottung , Kevin Tierney , Youngjune Gwon

We consider the problem of teaching via demonstrations in sequential decision-making settings. In particular, we study how to design a personalized curriculum over demonstrations to speed up the learner's convergence. We provide a unified…

Machine Learning · Computer Science 2021-12-17 Gaurav Yengera , Rati Devidze , Parameswaran Kamalaruban , Adish Singla

Finding a feasible and prompt solution to the Vehicle Routing Problem (VRP) is a prerequisite for efficient freight transportation, seamless logistics, and sustainable mobility. Traditional optimization methods reach their limits when…

Machine Learning · Computer Science 2024-11-08 Elija Deineko , Carina Kehrt

The primary paradigm in Neural Combinatorial Optimization (NCO) are construction methods, where a neural network is trained to sequentially add one solution component at a time until a complete solution is constructed. We observe that the…

Machine Learning · Computer Science 2025-09-08 Tim Dernedde , Daniela Thyssens , Lars Schmidt-Thieme

In unsupervised combinatorial optimization (UCO), during training, one aims to have continuous decisions that are promising in a probabilistic sense for each training instance, which enables end-to-end training on initially discrete and…

Machine Learning · Computer Science 2025-06-23 Fanchen Bu , Kijung Shin

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…

Machine Learning · Computer Science 2019-10-31 Maxime Gasse , Didier Chételat , Nicola Ferroni , Laurent Charlin , Andrea Lodi

In this work, we propose a parameter continuation method for the optimization of neural networks. There is a close connection between parameter continuation, homotopies, and curriculum learning. The methods we propose here are theoretically…

Machine Learning · Computer Science 2025-07-31 Harsh Nilesh Pathak , Randy Paffenroth

Unsupervised learning (UL)-based solvers for combinatorial optimization (CO) train a neural network that generates a soft solution by directly optimizing the CO objective using a continuous relaxation strategy. These solvers offer several…

Machine Learning · Statistics 2024-11-01 Yuma Ichikawa

Chain-of-Thought (CoT) prompting has recently shown significant promise across various NLP and computer vision tasks by explicitly generating intermediate reasoning steps. However, we find that reinforcement learning (RL)-based fine-tuned…

Computer Vision and Pattern Recognition · Computer Science 2025-11-19 Qingyang Yan , Guangyao Chen , Yixiong Zou

Achieving robust performance is crucial when applying deep reinforcement learning (RL) in safety critical systems. Some of the state of the art approaches try to address the problem with adversarial agents, but these agents often require…

Machine Learning · Computer Science 2022-02-18 Yeeho Song , Jeff Schneider

Efficient instruction tuning aims to enhance the ultimate performance of large language models (LLMs) trained on a given instruction dataset. Curriculum learning as a typical data organization strategy has shown preliminary effectiveness in…

Computation and Language · Computer Science 2025-11-04 Yangning Li , Tingwei Lu , Yinghui Li , Yankai Chen , Wei-Chieh Huang , Wenhao Jiang , Hui Wang , Hai-Tao Zheng , Philip S. Yu

Existing approaches to solving combinatorial optimization problems on graphs suffer from the need to engineer each problem algorithmically, with practical problems recurring in many instances. The practical side of theoretical computer…

Machine Learning · Computer Science 2020-07-15 Natalia Vesselinova , Rebecca Steinert , Daniel F. Perez-Ramirez , Magnus Boman

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…

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