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In this work, we theoretically demonstrate that current graph positional encodings (PEs) are not beneficial and could potentially hurt performance in tasks involving heterophilous graphs, where nodes that are close tend to have different…

Machine Learning · Computer Science 2025-04-30 Michael Ito , Jiong Zhu , Dexiong Chen , Danai Koutra , Jenna Wiens

This paper introduces the Strain Elevation Tension Spring embedding (SETSe) algorithm, a graph embedding method that uses a physics model to create node and edge embeddings in undirected attribute networks. Using a low-dimensional…

Social and Information Networks · Computer Science 2020-07-21 Jonathan Bourne

The distinguishing power of graph transformers is closely tied to the choice of positional encoding: features used to augment the base transformer with information about the graph. There are two primary types of positional encoding:…

Machine Learning · Computer Science 2024-08-26 Mitchell Black , Zhengchao Wan , Gal Mishne , Amir Nayyeri , Yusu Wang

Graph classification is a fundamental task in domains ranging from molecular property prediction to materials design. While graph neural networks (GNNs) achieve strong performance by learning expressive representations via message passing,…

Machine Learning · Computer Science 2025-12-04 Hamed Poursiami , Shay Snyder , Guojing Cong , Thomas Potok , Maryam Parsa

Cross-device user matching is a critical problem in numerous domains, including advertising, recommender systems, and cybersecurity. It involves identifying and linking different devices belonging to the same person, utilizing sequence…

Machine Learning · Computer Science 2023-10-23 Ali Taghibakhshi , Mingyuan Ma , Ashwath Aithal , Onur Yilmaz , Haggai Maron , Matthew West

Graph Transformers (GTs) have demonstrated their advantages across a wide range of tasks. However, the self-attention mechanism in GTs overlooks the graph's inductive biases, particularly biases related to structure, which are crucial for…

Machine Learning · Computer Science 2024-04-25 Chuang Liu , Zelin Yao , Yibing Zhan , Xueqi Ma , Shirui Pan , Wenbin Hu

The exploitation of graph structures is the key to effectively learning representations of nodes that preserve useful information in graphs. A remarkable property of graph is that a latent hierarchical grouping of nodes exists in a global…

Artificial Intelligence · Computer Science 2021-11-02 Lu Lin , Ethan Blaser , Hongning Wang

From social networks to protein complexes to disease genomes to visual data, hypergraphs are everywhere. However, the scope of research studying deep learning on hypergraphs is still quite sparse and nascent, as there has not yet existed an…

Machine Learning · Computer Science 2019-10-08 Josh Payne

Graphs, consisting of vertices and edges, are vital for representing complex relationships in fields like social networks, finance, and blockchain. Visualizing these graphs helps analysts identify structural patterns, with readability…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-18 Sanggeon Yun

Graph similarity computation is one of the core operations in many graph-based applications, such as graph similarity search, graph database analysis, graph clustering, etc. Since computing the exact distance/similarity between two graphs…

Machine Learning · Computer Science 2021-05-18 Yunsheng Bai , Hao Ding , Yizhou Sun , Wei Wang

Despite the success of Heterogeneous Graph Neural Networks (HGNNs) in modeling real-world Heterogeneous Information Networks (HINs), challenges such as expressiveness limitations and over-smoothing have prompted researchers to explore Graph…

Machine Learning · Computer Science 2024-07-19 Qiuyu Zhu , Liang Zhang , Qianxiong Xu , Kaijun Liu , Cheng Long , Xiaoyang Wang

Graph embedding techniques have been increasingly deployed in a multitude of different applications that involve learning on non-Euclidean data. However, existing graph embedding models either fail to incorporate node attribute information…

Machine Learning · Computer Science 2021-06-22 Chenhui Deng , Zhiqiang Zhao , Yongyu Wang , Zhiru Zhang , Zhuo Feng

Graph Transformer shows remarkable potential in brain network analysis due to its ability to model graph structures and complex node relationships. Most existing methods typically model the brain as a flat network, ignoring its modular…

Machine Learning · Computer Science 2025-11-25 Jiajun Ma , Yongchao Zhang , Chao Zhang , Zhao Lv , Shengbing Pei

Graph neural networks (GNNs) have been widely used in deep learning on graphs. They can learn effective node representations that achieve superior performances in graph analysis tasks such as node classification and node clustering.…

Machine Learning · Computer Science 2021-04-19 Jianxin Li , Hao Peng , Yuwei Cao , Yingtong Dou , Hekai Zhang , Philip S. Yu , Lifang He

Understanding traffic scenes requires considering heterogeneous information about dynamic agents and the static infrastructure. In this work we propose SCENE, a methodology to encode diverse traffic scenes in heterogeneous graphs and to…

Computer Vision and Pattern Recognition · Computer Science 2023-01-10 Thomas Monninger , Julian Schmidt , Jan Rupprecht , David Raba , Julian Jordan , Daniel Frank , Steffen Staab , Klaus Dietmayer

Graph anomaly detection on attributed networks has become a prevalent research topic due to its broad applications in many influential domains. In real-world scenarios, nodes and edges in attributed networks usually display distinct…

Social and Information Networks · Computer Science 2022-08-18 Shujie Yang , Binchi Zhang , Shangbin Feng , Zhaoxuan Tan , Qinghua Zheng , Jun Zhou , Minnan Luo

Graph foundation models represent a transformative paradigm for learning transferable representations across diverse graph domains. Recent methods leverage large language models to unify graph and text modalities into a shared…

Machine Learning · Computer Science 2025-12-23 Heng Zhang , Tianyi Zhang , Yuling Shi , Xiaodong Gu , Yaomin Shen , Haochen You , Zijian Zhang , Yilei Yuan , Jin Huang

Transformers are increasingly employed for graph data, demonstrating competitive performance in diverse tasks. To incorporate graph information into these models, it is essential to enhance node and edge features with positional encodings.…

We introduce Attention Graphs, a new tool for mechanistic interpretability of Graph Neural Networks (GNNs) and Graph Transformers based on the mathematical equivalence between message passing in GNNs and the self-attention mechanism in…

Machine Learning · Computer Science 2025-02-26 Batu El , Deepro Choudhury , Pietro Liò , Chaitanya K. Joshi

Node embedding is the task of extracting informative and descriptive features over the nodes of a graph. The importance of node embeddings for graph analytics, as well as learning tasks such as node classification, link prediction and…

Machine Learning · Computer Science 2019-06-17 Dimitris Berberidis , Georgios B. Giannakis