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In Nature Machine Intelligence 4, 367 (2022), Schuetz et al provide a scheme to employ graph neural networks (GNN) as a heuristic to solve a variety of classical, NP-hard combinatorial optimization problems. It describes how the network is…

Disordered Systems and Neural Networks · Physics 2023-01-03 Stefan Boettcher

The success of graph embeddings or node representation learning in a variety of downstream tasks, such as node classification, link prediction, and recommendation systems, has led to their popularity in recent years. Representation learning…

Machine Learning · Computer Science 2018-09-07 Saba A. Al-Sayouri , Danai Koutra , Evangelos E. Papalexakis , Sarah S. Lam

Graphs serve as fundamental descriptors for systems composed of interacting elements, capturing a wide array of data types, from molecular interactions to social networks and knowledge graphs. In this paper, we present an exhaustive review…

Machine Learning · Computer Science 2024-11-13 Chenqing Hua

In this work, we propose to employ information-geometric tools to optimize a graph neural network architecture such as the graph convolutional networks. More specifically, we develop optimization algorithms for the graph-based…

Machine Learning · Computer Science 2020-08-25 Mohammad Rasool Izadi , Yihao Fang , Robert Stevenson , Lizhen Lin

Recent advancements in graph learning have revolutionized the way to understand and analyze data with complex structures. Notably, Graph Neural Networks (GNNs), i.e. neural network architectures designed for learning graph representations,…

Machine Learning · Computer Science 2024-07-09 Yu Huang , Min Zhou , Menglin Yang , Zhen Wang , Muhan Zhang , Jie Wang , Hong Xie , Hao Wang , Defu Lian , Enhong Chen

This paper presents a novel approach to neural network pruning by integrating a graph-based observation space into an AutoML framework to address the limitations of existing methods. Traditional pruning approaches often depend on…

Machine Learning · Computer Science 2025-09-16 Dieter Balemans , Thomas Huybrechts , Jan Steckel , Siegfried Mercelis

Combinatorial optimization problems are notoriously challenging for neural networks, especially in the absence of labeled instances. This work proposes an unsupervised learning framework for CO problems on graphs that can provide integral…

Machine Learning · Computer Science 2021-03-09 Nikolaos Karalias , Andreas Loukas

Graph partitioning is the problem of dividing the nodes of a graph into balanced partitions while minimizing the edge cut across the partitions. Due to its combinatorial nature, many approximate solutions have been developed, including…

Machine Learning · Computer Science 2019-03-05 Azade Nazi , Will Hang , Anna Goldie , Sujith Ravi , Azalia Mirhoseini

Graph representation learning methods are highly effective in handling complex non-Euclidean data by capturing intricate relationships and features within graph structures. However, traditional methods face challenges when dealing with…

Machine Learning · Computer Science 2025-02-25 Hang Gao , Chenhao Zhang , Fengge Wu , Junsuo Zhao , Changwen Zheng , Huaping Liu

Many combinatorial optimization problems can be phrased in the language of constraint satisfaction problems. We introduce a graph neural network architecture for solving such optimization problems. The architecture is generic; it works for…

Artificial Intelligence · Computer Science 2020-02-12 Jan Toenshoff , Martin Ritzert , Hinrikus Wolf , Martin Grohe

Dominant sentence ordering models can be classified into pairwise ordering models and set-to-sequence models. However, there is little attempt to combine these two types of models, which inituitively possess complementary advantages. In…

Computation and Language · Computer Science 2021-10-14 Shaopeng Lai , Ante Wang , Fandong Meng , Jie Zhou , Yubin Ge , Jiali Zeng , Junfeng Yao , Degen Huang , Jinsong Su

Graph Neural Networks (GNNs) have achieved tremendous success in a variety of real-world applications by relying on the fixed graph data as input. However, the initial input graph might not be optimal in terms of specific downstream tasks,…

Machine Learning · Computer Science 2023-09-22 Beidi Zhao , Boxin Du , Zhe Xu , Liangyue Li , Hanghang Tong

Accurate routing network status estimation is a key component in Software Defined Networking. However, existing deep-learning-based methods for modeling network routing are not able to extrapolate towards unseen feature distributions. Nor…

Networking and Internet Architecture · Computer Science 2024-04-29 Yifei Jin , Marios Daoutis , Sarunas Girdzijauskas , Aristides Gionis

In recent years, graph neural networks (GNNs) have become increasingly popular for solving NP-hard combinatorial optimization (CO) problems, such as maximum cut and maximum independent set. The core idea behind these methods is to represent…

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

Many modern data analytics applications on graphs operate on domains where graph topology is not known a priori, and hence its determination becomes part of the problem definition, rather than serving as prior knowledge which aids the…

Information Theory · Computer Science 2020-01-03 Ljubisa Stankovic , Danilo Mandic , Milos Dakovic , Milos Brajovic , Bruno Scalzo , Shengxi Li , Anthony G. Constantinides

Differentiable solvers for the linear assignment problem (LAP) have attracted much research attention in recent years, which are usually embedded into learning frameworks as components. However, previous algorithms, with or without learning…

Machine Learning · Computer Science 2022-01-07 He Liu , Tao Wang , Congyan Lang , Songhe Feng , Yi Jin , Yidong Li

Modern neuroimaging techniques, such as diffusion tensor imaging (DTI) and functional magnetic resonance imaging (fMRI), enable us to model the human brain as a brain network or connectome. Capturing brain networks' structural information…

Combinatorial optimization problems (COPs) on the graph with real-life applications are canonical challenges in Computer Science. The difficulty of finding quality labels for problem instances holds back leveraging supervised learning…

Machine Learning · Computer Science 2021-08-10 Mostafa Pashazadeh , Kui Wu

Graph Neural Networks (GNNs) are powerful tools for learning from graph-structured data, but their scalability is increasingly strained by the size of real-world graphs in domains like recommender systems, fraud detection, and molecular…

Machine Learning · Computer Science 2026-05-22 Mridul Gupta , Samyak Jain , Vansh Ramani , Hariprasad Kodamana , Sayan Ranu

Despite the remarkable accomplishments of graph neural networks (GNNs), they typically rely on task-specific labels, posing potential challenges in terms of their acquisition. Existing work have been made to address this issue through the…

Machine Learning · Computer Science 2023-12-22 Siyang Luo , Ziyi Jiang , Zhenghan Chen , Xiaoxuan Liang