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Higher-order interactions (HOIs) in complex systems, such as scientific collaborations, multi-protein complexes, and multi-user communications, are commonly modeled as hypergraphs, where each hyperedge (i.e., a subset of nodes) represents…

Social and Information Networks · Computer Science 2025-10-21 Hyunjin Choo , Fanchen Bu , Hyunjin Hwang , Young-Gyu Yoon , Kijung Shin

As a classical approach on graph learning, the propagation-aggregation methodology is widely exploited by many of Graph Neural Networks (GNNs), wherein the representation of a node is updated by aggregating representations from itself and…

Machine Learning · Computer Science 2025-12-08 Xiao Yue , Bo Liu , Feng Zhang , Guangzhi Qu

Graph learning architectures based on the k-dimensional Weisfeiler-Leman (k-WL) hierarchy offer a theoretically well-understood expressive power. However, such architectures often fail to deliver solid predictive performance on real-world…

Machine Learning · Computer Science 2024-11-11 Luis Müller , Daniel Kusuma , Blai Bonet , Christopher Morris

Graph neural networks (GNNs) have recently become the standard approach for learning with graph-structured data. Prior work has shed light into their potential, but also their limitations. Unfortunately, it was shown that standard GNNs are…

Machine Learning · Computer Science 2023-06-12 Gaspard Michel , Giannis Nikolentzos , Johannes Lutzeyer , Michalis Vazirgiannis

The most popular design paradigm for Graph Neural Networks (GNNs) is 1-hop message passing -- aggregating information from 1-hop neighbors repeatedly. However, the expressive power of 1-hop message passing is bounded by the…

Machine Learning · Computer Science 2023-01-09 Jiarui Feng , Yixin Chen , Fuhai Li , Anindya Sarkar , Muhan Zhang

Graph neural networks (GNNs) are the standard for learning on graphs, yet they have limited expressive power, often expressed in terms of the Weisfeiler-Leman (WL) hierarchy or within the framework of first-order logic. In this context,…

Machine Learning · Computer Science 2026-04-22 Amirreza Akbari , Amauri H. Souza , Vikas Garg

Complex systems are often driven by higher-order interactions among multiple units, naturally represented as hypergraphs. Understanding dependency structures within these hypergraphs is crucial for understanding and predicting the behavior…

Social and Information Networks · Computer Science 2025-05-29 John Hood , Caterina De Bacco , Aaron Schein

Applying machine learning to molecules is challenging because of their natural representation as graphs rather than vectors.Several architectures have been recently proposed for deep learning from molecular graphs, but they suffer from…

Machine Learning · Statistics 2020-09-15 Jaak Simm , Adam Arany , Edward De Brouwer , Yves Moreau

Dynamic Graph Neural Networks (DyGNNs) have garnered increasing research attention for learning representations on evolving graphs. Despite their effectiveness, the limited expressive power of existing DyGNNs hinders them from capturing…

Machine Learning · Computer Science 2024-10-03 Zhe Wang , Tianjian Zhao , Zhen Zhang , Jiawei Chen , Sheng Zhou , Yan Feng , Chun Chen , Can Wang

Label spreading is a general technique for semi-supervised learning with point cloud or network data, which can be interpreted as a diffusion of labels on a graph. While there are many variants of label spreading, nearly all of them are…

Machine Learning · Computer Science 2020-06-09 Francesco Tudisco , Austin R. Benson , Konstantin Prokopchik

Link prediction in graphs is studied by modeling the dyadic interactions among two nodes. The relationships can be more complex than simple dyadic interactions and could require the user to model super-dyadic associations among nodes. Such…

Social and Information Networks · Computer Science 2021-02-10 Deepak Maurya , Balaraman Ravindran

Twin-width is a graph parameter introduced in the context of first-order model checking, and has since become a central parameter in algorithmic graph theory. While many algorithmic problems become easier on arbitrary classes of bounded…

Combinatorics · Mathematics 2026-01-12 Irene Heinrich , Moritz Lichter , Klara Pakhomenko , Simon Raßmann

Multiplex graphs capture diverse relations among shared nodes. Most predictors either collapse layers or treat them independently. This loses crucial inter-layer dependencies and struggles with scalability. To overcome this, we frame…

Machine Learning · Computer Science 2025-09-30 Devesh Sharma , Aditya Kishore , Ayush Garg , Debajyoti Mazumder , Debasis Mohapatra , Jasabanta Patro

Hypergraphs offer a generalized framework for capturing high-order relationships between entities and have been widely applied in various domains, including healthcare, social networks, and bioinformatics. Hypergraph neural networks, which…

Machine Learning · Computer Science 2025-12-03 Akash Choudhuri , Yongjian Zhong , Bijaya Adhikari

Network representation learning has aroused widespread interests in recent years. While most of the existing methods deal with edges as pairwise relationships, only a few studies have been proposed for hyper-networks to capture more…

Social and Information Networks · Computer Science 2019-10-23 Jie Huang , Xin Liu , Yangqiu Song

Graph Neural Networks (GNNs) have become the standard approach for learning and reasoning over relational data, leveraging the message-passing mechanism that iteratively propagates node embeddings through graph structures. While GNNs have…

Machine Learning · Computer Science 2025-01-14 Xiaoyu Li , Yingyu Liang , Zhenmei Shi , Zhao Song , Wei Wang , Jiahao Zhang

Graph neural networks have been used for a variety of learning tasks, such as link prediction, node classification, and node clustering. Among them, link prediction is a relatively under-studied graph learning task, with current…

Machine Learning · Computer Science 2022-08-29 Xinxing Wu , Qiang Cheng

Recently, pretraining methods for the Graph Neural Networks (GNNs) have been successful at learning effective representations from unlabeled graph data. However, most of these methods rely on pairwise relations in the graph and do not…

Machine Learning · Computer Science 2023-11-21 Abdalgader Abubaker , Takanori Maehara , Madhav Nimishakavi , Vassilis Plachouras

Various recent proposals increase the distinguishing power of Graph Neural Networks GNNs by propagating features between $k$-tuples of vertices. The distinguishing power of these "higher-order'' GNNs is known to be bounded by the…

Machine Learning · Computer Science 2021-06-15 Pablo Barceló , Floris Geerts , Juan Reutter , Maksimilian Ryschkov

We formulate an XAI-based model improvement approach for Graph Neural Networks (GNNs) for node classification, called Explanation Enhanced Graph Learning (EEGL). The goal is to improve predictive performance of GNN using explanations. EEGL…

Machine Learning · Computer Science 2024-03-13 Harish G. Naik , Jan Polster , Raj Shekhar , Tamás Horváth , György Turán
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