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Neural combinatorial optimization (NCO) is a promising learning-based approach for solving challenging combinatorial optimization problems without specialized algorithm design by experts. However, most constructive NCO methods cannot solve…

Machine Learning · Computer Science 2024-01-17 Fu Luo , Xi Lin , Fei Liu , Qingfu Zhang , Zhenkun Wang

Curriculum learning is a widely adopted training strategy in natural language processing (NLP), where models are exposed to examples organized by increasing difficulty to enhance learning efficiency and performance. However, most existing…

Computation and Language · Computer Science 2025-07-15 Qi Feng , Yihong Liu , Hinrich Schütze

Neural Combinatorial Optimisation (NCO) is a promising learning-based approach for solving Vehicle Routing Problems (VRPs) without extensive manual design. While existing constructive NCO methods typically follow an appending-based paradigm…

Machine Learning · Computer Science 2025-10-31 Fu Luo , Xi Lin , Mengyuan Zhong , Fei Liu , Zhenkun Wang , Jianyong Sun , Qingfu Zhang

Decision-focused learning integrates predictive modeling and combinatorial optimization by training models to directly improve decision quality rather than prediction accuracy alone. Differentiating through combinatorial optimization…

Machine Learning · Computer Science 2026-01-30 Victor Spitzer , Francois Sanson

Curriculum learning (CL) is a training strategy that trains a machine learning model from easier data to harder data, which imitates the meaningful learning order in human curricula. As an easy-to-use plug-in, the CL strategy has…

Machine Learning · Computer Science 2021-03-26 Xin Wang , Yudong Chen , Wenwu Zhu

Curriculum design is a fundamental component of education. For example, when we learn mathematics at school, we build upon our knowledge of addition to learn multiplication. These and other concepts must be mastered before our first algebra…

Computer Vision and Pattern Recognition · Computer Science 2023-08-21 Parantak Singh , You Li , Ankur Sikarwar , Weixian Lei , Daniel Gao , Morgan Bruce Talbot , Ying Sun , Mike Zheng Shou , Gabriel Kreiman , Mengmi Zhang

Curriculum learning is a training strategy that sorts the training examples by some measure of their difficulty and gradually exposes them to the learner to improve the network performance. Motivated by our insights from implicit curriculum…

Machine Learning · Computer Science 2021-07-28 Vinu Sankar Sadasivan , Anirban Dasgupta

In humans and animals, curriculum learning -- presenting data in a curated order - is critical to rapid learning and effective pedagogy. Yet in machine learning, curricula are not widely used and empirically often yield only moderate…

Machine Learning · Computer Science 2022-12-07 Luca Saglietti , Stefano Sarao Mannelli , Andrew Saxe

Learning heuristics for combinatorial optimization problems through graph neural networks have recently shown promising results on some classic NP-hard problems. These are single-level optimization problems with only one player. Multilevel…

Machine Learning · Computer Science 2023-04-22 Adel Nabli , Margarida Carvalho

Combinatorial optimization (CO) problems arise across a broad spectrum of domains, including medicine, logistics, and manufacturing. While exact solutions are often computationally infeasible, many practical applications require…

Machine Learning · Computer Science 2025-05-27 Arman Mielke , Uwe Bauknecht , Thilo Strauss , Mathias Niepert

Training models on spatio-temporal (ST) data poses an open problem due to the complicated and diverse nature of the data itself, and it is challenging to ensure the model's performance directly trained on the original ST data. While…

Machine Learning · Computer Science 2024-09-17 Du Yin , Jinliang Deng , Shuang Ao , Zechen Li , Hao Xue , Arian Prabowo , Renhe Jiang , Xuan Song , Flora Salim

Many real-world problems can be reduced to combinatorial optimization on a graph, where the subset or ordering of vertices that maximize some objective function must be found. With such tasks often NP-hard and analytically intractable,…

Machine Learning · Computer Science 2021-03-22 Thomas D. Barrett , William R. Clements , Jakob N. Foerster , A. I. Lvovsky

Neural combinatorial optimization (NCO) has achieved remarkable performance, yet its learned model representations and decision rationale remain a black box. This impedes both academic research and practical deployment, since researchers…

Machine Learning · Computer Science 2025-10-28 Zhiqin Zhang , Yining Ma , Zhiguang Cao , Hoong Chuin Lau

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…

Artificial Intelligence · Computer Science 2025-02-13 Seong-Hyun Hong , Hyun-Sung Kim , Zian Jang , Deunsol Yoon , Hyungseok Song , Byung-Jun Lee

Current state-of-the-art NMT systems use large neural networks that are not only slow to train, but also often require many heuristics and optimization tricks, such as specialized learning rate schedules and large batch sizes. This is…

Computation and Language · Computer Science 2019-03-27 Emmanouil Antonios Platanios , Otilia Stretcu , Graham Neubig , Barnabas Poczos , Tom M. Mitchell

Curriculum learning (CL) is a commonly used machine learning training strategy. However, we still lack a clear theoretical understanding of CL's benefits. In this paper, we study the benefits of CL in the multitask linear regression problem…

Machine Learning · Statistics 2021-11-16 Ziping Xu , Ambuj Tewari

Recent work on enhancing the reasoning abilities of large language models (LLMs) has introduced explicit length control as a means of constraining computational cost while preserving accuracy. However, existing approaches rely on…

Computation and Language · Computer Science 2025-08-13 Hasan Abed Al Kader Hammoud , Kumail Alhamoud , Abed Hammoud , Elie Bou-Zeid , Marzyeh Ghassemi , Bernard Ghanem

In recent years, there has been notable interest in investigating combinatorial optimization (CO) problems by neural-based framework. An emerging strategy to tackle these challenging problems involves the adoption of graph neural networks…

Machine Learning · Computer Science 2024-06-11 Yang Liu , Chuan Zhou , Peng Zhang , Shirui Pan , Zhao Li , Hongyang Chen

Combinatorial optimization (CO) is the fundamental problem at the intersection of computer science, applied mathematics, etc. The inherent hardness in CO problems brings up challenge for solving CO exactly, making deep-neural-network-based…

Machine Learning · Computer Science 2024-10-02 Runzhong Wang , Yang Li , Junchi Yan , Xiaokang Yang