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Efficiently training a multi-task neural solver for various combinatorial optimization problems (COPs) has been less studied so far. Naive application of conventional multi-task learning approaches often falls short in delivering a…

Machine Learning · Computer Science 2025-05-27 Chenguang Wang , Zhang-Hua Fu , Pinyan Lu , Tianshu Yu

Graph Attention Networks (GATs) are the state-of-the-art neural architecture for representation learning with graphs. GATs learn attention functions that assign weights to nodes so that different nodes have different influences in the…

Machine Learning · Computer Science 2019-10-29 Guangtao Wang , Rex Ying , Jing Huang , Jure Leskovec

We propose an adaptive graph coarsening method to jointly learn graph neural network (GNN) parameters and merge nodes via K-means clustering during training. As real-world graphs grow larger, processing them directly becomes increasingly…

Machine Learning · Computer Science 2025-10-01 Rostyslav Olshevskyi , Madeline Navarro , Santiago Segarra

We investigate a link between Graph Neural Networks (GNNs) and Quadratic Unconstrained Binary Optimization (QUBO) problems, laying the groundwork for GNNs to approximate solutions for these computationally challenging tasks. By analyzing…

Machine Learning · Computer Science 2025-08-26 Moshe Eliasof , Eldad Haber

This paper proposes a novel hybrid neuro-symbolic framework for the optimal and scalable deployment of component-based applications in the Cloud. The challenge of efficiently mapping application components to virtual machines (VMs) across…

Logic in Computer Science · Computer Science 2025-12-01 Madalina Erascu

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…

Machine Learning · Computer Science 2022-05-30 Thomas D. Barrett , Christopher W. F. Parsonson , Alexandre Laterre

Continual learning on graphs tackles the problem of training a graph neural network (GNN) where graph data arrive in a streaming fashion and the model tends to forget knowledge from previous tasks when updating with new data. Traditional…

Machine Learning · Computer Science 2024-01-09 Xiaoxue Han , Zhuo Feng , Yue Ning

Graph Neural Networks (GNNs) have shown impressive performance in graph representation learning, but they face challenges in capturing long-range dependencies due to their limited expressive power. To address this, Graph Transformers (GTs)…

Machine Learning · Computer Science 2024-06-19 Kaan Sancak , Zhigang Hua , Jin Fang , Yan Xie , Andrey Malevich , Bo Long , Muhammed Fatih Balin , Ümit V. Çatalyürek

In recent years, Graph Convolutional Networks (GCNs) have achieved great success in learning from graph-structured data. With the growing tendency of graph nodes and edges, GCN training by single processor cannot meet the demand for time…

Machine Learning · Computer Science 2021-10-08 Taige Zhao , Xiangyu Song , Jianxin Li , Wei Luo , Imran Razzak

Bayesian optimization (BO) is a powerful framework for optimizing expensive black-box objectives, yet extending it to graph-structured domains remains challenging due to the discrete and combinatorial nature of graphs. Existing approaches…

Machine Learning · Computer Science 2025-11-12 Shu Hong , Yongsheng Mei , Mahdi Imani , Tian Lan

This study introduces GCO-HPIF, a general machine-learning-based framework to predict and explain the computational hardness of combinatorial optimization problems that can be represented on graphs. The framework consists of two stages. In…

Machine Learning · Computer Science 2025-12-25 Bharat Sharman , Elkafi Hassini

In computer science, there exist a large number of optimization problems defined on graphs, that is to find a best node state configuration or a network structure such that the designed objective function is optimized under some…

Machine Learning · Computer Science 2020-04-17 Yaoxin Li , Jing Liu , Guozheng Lin , Yueyuan Hou , Muyun Mou , Jiang Zhang

A Graph of Convex Sets (GCS) is a graph in which vertices are associated with convex programs and edges couple pairs of programs through additional convex costs and constraints. Any optimization problem over an ordinary weighted graph…

Optimization and Control · Mathematics 2025-10-24 Tobia Marcucci

Combinatorial optimization problems (COPs) are an important research topic in various fields. In recent times, there have been many attempts to solve COPs using deep learning-based approaches. We propose a novel neural network model that…

Computational Geometry · Computer Science 2023-04-17 Jaeseung Lee , Woojin Choi , Jibum Kim

Recently, the pretrain-finetuning paradigm has attracted tons of attention in graph learning community due to its power of alleviating the lack of labels problem in many real-world applications. Current studies use existing techniques, such…

Machine Learning · Computer Science 2022-05-11 Jiying Zhang , Xi Xiao , Long-Kai Huang , Yu Rong , Yatao Bian

Unsupervised neural combinatorial optimization (NCO) enables learning powerful solvers without access to ground-truth solutions. Existing approaches fall into two disjoint paradigms: models trained for generalization across instances, and…

Machine Learning · Computer Science 2026-04-28 Yiqiao Liao , Farinaz Koushanfar , Parinaz Naghizadeh

Many complex problems encountered in both production and daily life can be conceptualized as combinatorial optimization problems (COPs) over graphs. Recent years, reinforcement learning (RL) based models have emerged as a promising…

Machine Learning · Computer Science 2024-04-09 Tianle Pu , Changjun Fan , Mutian Shen , Yizhou Lu , Li Zeng , Zohar Nussinov , Chao Chen , Zhong Liu

The success of machine learning solutions for reasoning about discrete structures has brought attention to its adoption within combinatorial optimization algorithms. Such approaches generally rely on supervised learning by leveraging…

Machine Learning · Computer Science 2022-03-17 Ismail R. Alkhouri , George K. Atia , Alvaro Velasquez

Deep learning has consistently defied state-of-the-art techniques in many fields over the last decade. However, we are just beginning to understand the capabilities of neural learning in symbolic domains. Deep learning architectures that…

Machine Learning · Computer Science 2020-03-10 Henrique Lemos , Marcelo Prates , Pedro Avelar , Luis Lamb

Recently, there has been much work on the design of general heuristics for graph-based, combinatorial optimization problems via the incorporation of Graph Neural Networks (GNNs) to learn distribution-specific solution structures.However,…

Artificial Intelligence · Computer Science 2024-06-19 Ankur Nath , Alan Kuhnle