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We introduce graphcodes, a novel multi-scale summary of the topological properties of a dataset that is based on the well-established theory of persistent homology. Graphcodes handle datasets that are filtered along two real-valued scale…

Algebraic Topology · Mathematics 2024-05-24 Michael Kerber , Florian Russold

Graph Transformers (GTs) have demonstrated great effectiveness across various graph analytical tasks. However, the existing GTs focus on training and testing graph data originated from the same distribution, but fail to generalize under…

Machine Learning · Computer Science 2026-03-16 Tianyin Liao , Ziwei Zhang , Yufei Sun , Chunyu Hu , Jianxin Li

Generative models of graphs are well-known, but many existing models are limited in scalability and expressivity. We present a novel sequential graphical variational autoencoder operating directly on graphical representations of data. In…

Machine Learning · Computer Science 2019-12-18 Bowen Jing , Ethan A. Chi , Jillian Tang

Dynamic networks reflect temporal changes occurring to the graph's structure and are used to model a wide variety of problems in many application fields. We investigate the design space of dynamic graph visualization along two major…

Human-Computer Interaction · Computer Science 2022-09-07 Velitchko Filipov , Alessio Arleo , Markus Bögl , Silvia Miksch

Large language models (LLMs) have demonstrated promising capabilities in Text-Attributed Graph (TAG) understanding. Recent studies typically focus on verbalizing the graph structures via handcrafted prompts, feeding the target node and its…

Artificial Intelligence · Computer Science 2026-01-21 Zijun Di , Bin Lu , Huquan Kang , Luoyi Fu , Jiaxin Ding , Xiaoying Gan , Lei Zhou , Xinbing Wang , Chenghu Zhou

Dynamic graph-level embedding aims to capture structural evolution in networks, which is essential for modeling real-world scenarios. However, existing methods face two critical yet under-explored issues: Structural Visit Bias, where random…

Machine Learning · Computer Science 2025-08-22 Haodi Zhong , Liuxin Zou , Di Wang , Bo Wang , Zhenxing Niu , Quan Wang

In this work we propose Lasagne, a methodology to learn locality and structure aware graph node embeddings in an unsupervised way. In particular, we show that the performance of existing random-walk based approaches depends strongly on the…

Social and Information Networks · Computer Science 2017-10-19 Evgeniy Faerman , Felix Borutta , Kimon Fountoulakis , Michael W. Mahoney

Multi-graph learning is crucial for extracting meaningful signals from collections of heterogeneous graphs. However, effectively integrating information across graphs with differing topologies, scales, and semantics, often in the absence of…

Machine Learning · Computer Science 2026-02-02 Zahra Moslemi , Ziyi Liang , Norbert Fortin , Babak Shahbaba

Node-link diagrams are a popular method for representing graphs that capture relationships between individuals, businesses, proteins, and telecommunication endpoints. However, node-link diagrams may fail to convey insights regarding graph…

Social and Information Networks · Computer Science 2023-09-20 Paul Rosen , Mustafa Hajij , Bei Wang

Structural Entropy (SE) measures the structural information contained in a graph. Minimizing or maximizing SE helps to reveal or obscure the intrinsic structural patterns underlying graphs in an interpretable manner, finding applications in…

Social and Information Networks · Computer Science 2024-05-14 Yuwei Cao , Hao Peng , Angsheng Li , Chenyu You , Zhifeng Hao , Philip S Yu

Graph neural networks have been extensively studied for learning with inter-connected data. Despite this, recent evidence has revealed GNNs' deficiencies related to over-squashing, heterophily, handling long-range dependencies, edge…

Machine Learning · Computer Science 2023-06-16 Qitian Wu , Wentao Zhao , Zenan Li , David Wipf , Junchi Yan

Hypergraphs play a pivotal role in the modelling of data featuring higher-order relations involving more than two entities. Hypergraph neural networks emerge as a powerful tool for processing hypergraph-structured data, delivering…

Machine Learning · Computer Science 2024-06-04 Zexi Liu , Bohan Tang , Ziyuan Ye , Xiaowen Dong , Siheng Chen , Yanfeng Wang

Most previous work on neural text generation from graph-structured data relies on standard sequence-to-sequence methods. These approaches linearise the input graph to be fed to a recurrent neural network. In this paper, we propose an…

Computation and Language · Computer Science 2018-10-24 Diego Marcheggiani , Laura Perez-Beltrachini

Compositional generalization-the ability to interpret novel combinations of familiar components-remains a persistent challenge for neural networks. Behavioral evaluations reveal \emph{when} models fail but offer limited insight into…

Machine Learning · Computer Science 2026-03-25 Zhiyu An , Wan Du

Progress on graph foundation models is hindered by benchmark practices that conflate the contributions of node features and graph structure, making it hard to tell whether a model actually learns from connectivity, or whether it even needs…

Machine Learning · Computer Science 2026-05-08 Richard von Moos , Mathieu Alain , Bastian Rieck

Convolution Neural Networks on Graphs are important generalization and extension of classical CNNs. While previous works generally assumed that the graph structures of samples are regular with unified dimensions, in many applications, they…

Machine Learning · Computer Science 2017-08-17 Ruoyu Li , Junzhou Huang

Representation learning on text-attributed graphs (TAGs) integrates structural connectivity with rich textual semantics, enabling applications in diverse domains. Current methods largely rely on contrastive learning to maximize cross-modal…

Graphics · Computer Science 2025-10-15 Heng Zhang , Tianyi Zhang , Yuling Shi , Xiaodong Gu , Yaomin Shen , Zijian Zhang , Yilei Yuan , Hao Zhang , Jin Huang

This work focuses on training graph foundation models (GFMs) that have strong generalization ability in graph-level tasks such as graph classification. Effective GFM training requires capturing information consistent across different…

Machine Learning · Computer Science 2026-03-10 Ziheng Sun , Qi Feng , Lehao Lin , Chris Ding , Jicong Fan

Graph Transformers have emerged as a powerful alternative to Message-Passing Graph Neural Networks (MP-GNNs) to address limitations such as over-squashing of information exchange. However, incorporating graph inductive bias into transformer…

Machine Learning · Computer Science 2024-04-09 Zihan Pengmei , Zimu Li

While Graph Neural Networks (GNNs) have proven highly effective at modeling relational data, pairwise connections cannot fully capture multi-way relationships naturally present in complex real-world systems. In response to this, Topological…

Machine Learning · Computer Science 2025-10-28 Martin Carrasco , Guillermo Bernardez , Marco Montagna , Nina Miolane , Lev Telyatnikov