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We propose a novel method for topological analysis of unweighted graphs which is based on \textit{persistent homology}. The proposed method maps the input graph to a complete weighted graph where the weighting function maps each edge to a…

Algebraic Topology · Mathematics 2020-07-31 Padraig Corcoran

Topological features based on persistent homology capture high-order structural information so as to augment graph neural network methods. However, computing extended persistent homology summaries remains slow for large and dense graphs and…

Machine Learning · Computer Science 2022-11-16 Zuoyu Yan , Tengfei Ma , Liangcai Gao , Zhi Tang , Yusu Wang , Chao Chen

Many Graph Neural Networks (GNNs) perform poorly compared to simple heuristics on Link Prediction (LP) tasks. This is due to limitations in expressive power such as the inability to count triangles (the backbone of most LP heuristics) and…

Graph neural networks achieve high accuracy in link prediction by jointly leveraging graph topology and node attributes. Topology, however, is represented indirectly; state-of-the-art methods based on subgraph classification label nodes…

Machine Learning · Computer Science 2022-03-17 Liming Pan , Cheng Shi , Ivan Dokmanić

Convolutional neural networks (CNNs) are a standard tool for computer vision tasks such as image classification. However, typical model architectures may result in the loss of topological information. In specific domains such as…

Image and Video Processing · Electrical Eng. & Systems 2026-03-05 Shrunal Pothagoni , Benjamin Schweinhart

Graphs are ubiquitous in many applications, such as social networks, knowledge graphs, smart grids, etc.. Graph neural networks (GNN) are the current state-of-the-art for these applications, and yet remain obscure to humans. Explaining the…

Machine Learning · Computer Science 2021-11-22 Yazheng Liu , Xi Zhang , Sihong Xie

Graph neural networks (GNNs) have become a popular approach to integrating structural inductive biases into NLP models. However, there has been little work on interpreting them, and specifically on understanding which parts of the graphs…

Computation and Language · Computer Science 2022-10-04 Michael Sejr Schlichtkrull , Nicola De Cao , Ivan Titov

Networks are ubiquitous in the real world. Link prediction, as one of the key problems for network-structured data, aims to predict whether there exists a link between two nodes. The traditional approaches are based on the explicit…

Machine Learning · Computer Science 2021-06-01 Wei Wu , Bin Li , Chuan Luo , Wolfgang Nejdl

Graph Neural Networks (GNNs) have emerged as powerful tools for learning over structured data, including text-attributed graphs (TAGs), which are common in domains such as citation networks, social platforms, and knowledge graphs. GNNs are…

Machine Learning · Computer Science 2026-04-23 Peyman Baghershahi , Gregoire Fournier , Pranav Nyati , Sourav Medya

Recent studies have underscored the capabilities of natural imaging foundation models to serve as powerful feature extractors, even in a zero-shot setting for medical imaging data. Most commonly, a shallow multi-layer perceptron (MLP) is…

Computer Vision and Pattern Recognition · Computer Science 2024-07-25 Johannes Kiechle , Daniel M. Lang , Stefan M. Fischer , Lina Felsner , Jan C. Peeken , Julia A. Schnabel

Graph Neural Networks (GNNs) and their message passing framework that leverages both structural and feature information, have become a standard method for solving graph-based machine learning problems. However, these approaches still…

Machine Learning · Computer Science 2024-11-20 Simon Delarue , Thomas Bonald , Tiphaine Viard

Graph Neural Networks (GNNs) are prominent in graph machine learning and have shown state-of-the-art performance in Link Prediction (LP) tasks. Nonetheless, recent studies show that GNNs struggle to produce good results on low-degree nodes…

Machine Learning · Computer Science 2025-08-05 Zhichun Guo , Tong Zhao , Yozen Liu , Kaiwen Dong , William Shiao , Mingxuan Ju , Neil Shah , Nitesh V. Chawla

Despite significant advances in graph representation learning, little attention has been paid to the more practical continual learning scenario in which new categories of nodes (e.g., new research areas in citation networks, or new types of…

Machine Learning · Computer Science 2021-12-01 Xikun Zhang , Dongjin Song , Dacheng Tao

Graph Machine Learning (GML) has numerous applications, such as node/graph classification and link prediction, in real-world domains. Providing human-understandable explanations for GML models is a challenging yet fundamental task to foster…

Machine Learning · Computer Science 2023-08-04 Claudio Borile , Alan Perotti , André Panisson

Deep learning methods for graphs achieve remarkable performance on many node-level and graph-level prediction tasks. However, despite the proliferation of the methods and their success, prevailing Graph Neural Networks (GNNs) neglect…

Machine Learning · Computer Science 2020-11-10 Emily Alsentzer , Samuel G. Finlayson , Michelle M. Li , Marinka Zitnik

With the growing adoption of AI-based systems across everyday life, the need to understand their decision-making mechanisms is correspondingly increasing. The level at which we can trust the statistical inferences made from AI-based…

Machine Learning · Statistics 2024-04-15 Adam Spannaus , Heidi A. Hanson , Lynne Penberthy , Georgia Tourassi

Graph Neural Networks (GNNs) have shown advantages in various graph-based applications. Most existing GNNs assume strong homophily of graph structure and apply permutation-invariant local aggregation of neighbors to learn a representation…

Machine Learning · Computer Science 2022-01-04 Tianmeng Yang , Yujing Wang , Zhihan Yue , Yaming Yang , Yunhai Tong , Jing Bai

Attention mechanisms are critical to the success of large language models (LLMs), driving significant advancements in multiple fields. However, for graph-structured data, which requires emphasis on topological connections, they fall short…

Artificial Intelligence · Computer Science 2025-05-06 Zhong Guan , Likang Wu , Hongke Zhao , Ming He , Jianpin Fan

Large Language Models (LLMs) have demonstrated strong capabilities in various natural language processing tasks; however, their application to graph-related problems remains limited, primarily due to scalability constraints and the absence…

Machine Learning · Computer Science 2025-05-08 Hyun Lee , Chris Yi , Maminur Islam , B. D. S. Aritra

The effectiveness of Spatio-temporal Graph Neural Networks (STGNNs) in time-series applications is often limited by their dependence on fixed, hand-crafted input graph structures. Motivated by insights from the Topological Data Analysis…

Machine Learning · Computer Science 2025-03-20 Viet The Nguyen , Duy Anh Pham , An Thai Le , Jans Peter , Gunther Gust
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