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Graph Comparative Learning (GCL) is a self-supervised method that combines the advantages of Graph Convolutional Networks (GCNs) and comparative learning, making it promising for learning node representations. However, the GCN encoders used…

Machine Learning · Computer Science 2023-12-12 Ruyue Liu , Rong Yin , Yong Liu , Weiping Wang

Large language models show great potential in unstructured data understanding, but still face significant challenges with graphs due to their structural hallucination. Existing approaches mainly either verbalize graphs into natural…

Computation and Language · Computer Science 2026-02-03 Jingyao Wu , Bin Lu , Zijun Di , Xiaoying Gan , Meng Jin , Luoyi Fu , Xinbing Wang , Chenghu Zhou

We consider multivariate two-sample tests of means, where the location shift between the two populations is expected to be related to a known graph structure. An important application of such tests is the detection of differentially…

Applications · Statistics 2012-07-02 Laurent Jacob , Pierre Neuvial , Sandrine Dudoit

The Euler Characteristic Transform (ECT) is an efficiently-computable geometrical-topological invariant that characterizes the global shape of data. In this paper, we introduce the Local Euler Characteristic Transform ($\ell$-ECT), a novel…

Machine Learning · Computer Science 2025-05-29 Julius von Rohrscheidt , Bastian Rieck

The Weisfeiler-Leman (WL) algorithm is a combinatorial procedure that computes colorings on graphs, which can often be used to detect their (non-)isomorphism. Particularly the 1- and 2-dimensional versions 1-WL and 2-WL have received much…

Discrete Mathematics · Computer Science 2022-06-22 Sandra Kiefer , Daniel Neuen

This work generalizes graph neural networks (GNNs) beyond those based on the Weisfeiler-Lehman (WL) algorithm, graph Laplacians, and diffusions. Our approach, denoted Relational Pooling (RP), draws from the theory of finite partial…

Machine Learning · Computer Science 2019-05-16 Ryan L. Murphy , Balasubramaniam Srinivasan , Vinayak Rao , Bruno Ribeiro

Graph neural networks (GNNs) are a powerful tool to learn representations on graphs by iteratively aggregating features from node neighbourhoods. Many variant models have been proposed, but there is limited understanding on both how to…

Machine Learning · Computer Science 2019-11-14 Michael Lingzhi Li , Meng Dong , Jiawei Zhou , Alexander M. Rush

Transformers have achieved remarkable success across domains, motivating the rise of Graph Transformers (GTs) as attention-based architectures for graph-structured data. A key design choice in GTs is the use of Graph Neural Network…

Machine Learning · Computer Science 2026-05-29 Javier Porras-Valenzuela , Zhiyang Wang , Xiaotao Shang , Yusu Wang , Alejandro Ribeiro

We present Graformer, a novel Transformer-based encoder-decoder architecture for graph-to-text generation. With our novel graph self-attention, the encoding of a node relies on all nodes in the input graph - not only direct neighbors -…

Computation and Language · Computer Science 2021-04-28 Martin Schmitt , Leonardo F. R. Ribeiro , Philipp Dufter , Iryna Gurevych , Hinrich Schütze

Large language models (LLMs) have achieved remarkable success in natural language processing (NLP), demonstrating significant capabilities in processing and understanding text data. However, recent studies have identified limitations in…

Artificial Intelligence · Computer Science 2025-02-18 Qiming Wu , Zichen Chen , Will Corcoran , Misha Sra , Ambuj K. Singh

Graph Neural Networks (GNNs) are learning models aimed at processing graphs and signals on graphs. The most popular and successful GNNs are based on message passing schemes. Such schemes inherently have limited expressive power when it…

Machine Learning · Computer Science 2022-06-24 Jacob Bamberger

Recent advances in integrating positional and structural encodings (PSEs) into graph neural networks (GNNs) have significantly enhanced their performance across various graph learning tasks. However, the general applicability of these…

Machine Learning · Computer Science 2025-03-04 Billy Joe Franks , Moshe Eliasof , Semih Cantürk , Guy Wolf , Carola-Bibiane Schönlieb , Sophie Fellenz , Marius Kloft

Neural Architecture Representation Learning aims to transform network models into feature representations for predicting network attributes, playing a crucial role in deploying and designing networks for real-world applications. Recently,…

Machine Learning · Computer Science 2025-06-10 Haizhao Jing , Haokui Zhang , Zhenhao Shang , Rong Xiao , Peng Wang , Yanning Zhang

Graph self-supervised learning (SSL) has been vastly employed to learn representations from unlabeled graphs. Existing methods can be roughly divided into predictive learning and contrastive learning, where the latter one attracts more…

Machine Learning · Computer Science 2022-11-29 Jiashun Cheng , Man Li , Jia Li , Fugee Tsung

Hypergraph, an expressive structure with flexibility to model the higher-order correlations among entities, has recently attracted increasing attention from various research domains. Despite the success of Graph Neural Networks (GNNs) for…

Machine Learning · Computer Science 2021-05-04 Jing Huang , Jie Yang

Graph neural networks (GNNs) are effective models for representation learning on relational data. However, standard GNNs are limited in their expressive power, as they cannot distinguish graphs beyond the capability of the Weisfeiler-Leman…

Machine Learning · Computer Science 2021-06-07 Ralph Abboud , İsmail İlkan Ceylan , Martin Grohe , Thomas Lukasiewicz

Learning to optimize is a rapidly growing area that aims to solve optimization problems or improve existing optimization algorithms using machine learning (ML). In particular, the graph neural network (GNN) is considered a suitable ML model…

Machine Learning · Computer Science 2023-05-29 Ziang Chen , Jialin Liu , Xinshang Wang , Jianfeng Lu , Wotao Yin

Transformers are the basis of modern large language models, but relatively little is known about their precise expressive power on graphs. We study the expressive power of graph transformers (GTs) by Dwivedi and Bresson (2020) and…

Logic in Computer Science · Computer Science 2026-02-19 Veeti Ahvonen , Maurice Funk , Damian Heiman , Antti Kuusisto , Carsten Lutz

Recent advances in Graph Convolutional Neural Networks (GCNNs) have shown their efficiency for non-Euclidean data on graphs, which often require a large amount of labeled data with high cost. It it thus critical to learn graph feature…

Computer Vision and Pattern Recognition · Computer Science 2020-03-20 Xiang Gao , Wei Hu , Guo-Jun Qi

We propose CRaWl, a novel neural network architecture for graph learning. Like graph neural networks, CRaWl layers update node features on a graph and thus can freely be combined or interleaved with GNN layers. Yet CRaWl operates…

Machine Learning · Computer Science 2023-08-22 Jan Tönshoff , Martin Ritzert , Hinrikus Wolf , Martin Grohe