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Graph-based Neural Networks (GNNs) are recent models created for learning representations of nodes (and graphs), which have achieved promising results when detecting patterns that occur in large-scale data relating different entities. Among…

Machine Learning · Computer Science 2021-08-20 Ronald D. R. Pereira , Fabrício Murai

Graph neural networks (GNNs) have achieved remarkable success as a framework for deep learning on graph-structured data. However, GNNs are fundamentally limited by their tree-structured inductive bias: the WL-subtree kernel formulation…

Machine Learning · Computer Science 2021-07-26 Dylan Sandfelder , Priyesh Vijayan , William L. Hamilton

The ability of a graph neural network (GNN) to leverage both the graph topology and graph labels is fundamental to building discriminative node and graph embeddings. Building on previous work, we theoretically show that edGNN, our model for…

Machine Learning · Computer Science 2019-12-05 Guillaume Jaume , An-phi Nguyen , María Rodríguez Martínez , Jean-Philippe Thiran , Maria Gabrani

Subgraph-enhanced graph neural networks (SGNN) can increase the expressive power of the standard message-passing framework. This model family represents each graph as a collection of subgraphs, generally extracted by random sampling or with…

Machine Learning · Computer Science 2023-04-17 Indro Spinelli , Michele Guerra , Filippo Maria Bianchi , Simone Scardapane

Graph Neural Networks (GNNs) have seen significant advances in recent years, yet their application to multigraphs, where parallel edges exist between the same pair of nodes, remains under-explored. Standard GNNs, designed for simple graphs,…

Machine Learning · Computer Science 2024-12-11 H. Çağrı Bilgi , Lydia Y. Chen , Kubilay Atasu

Message passing Graph Neural Networks (GNNs) provide a powerful modeling framework for relational data. However, the expressive power of existing GNNs is upper-bounded by the 1-Weisfeiler-Lehman (1-WL) graph isomorphism test, which means…

Machine Learning · Computer Science 2021-02-08 Jiaxuan You , Jonathan Gomes-Selman , Rex Ying , Jure Leskovec

Fraud detection problems are usually formulated as a machine learning problem on a graph. Recently, Graph Neural Networks (GNNs) have shown solid performance on fraud detection. The successes of most previous methods heavily rely on rich…

Machine Learning · Computer Science 2021-10-05 Chen Wang , Yingtong Dou , Min Chen , Jia Chen , Zhiwei Liu , Philip S. Yu

Graph Neural Networks (GNNs) have become the de-facto standard tool for modeling relational data. However, while many real-world graphs are directed, the majority of today's GNN models discard this information altogether by simply making…

A fundamental computation for statistical inference and accurate decision-making is to compute the marginal probabilities or most probable states of task-relevant variables. Probabilistic graphical models can efficiently represent the…

Machine Learning · Computer Science 2019-06-28 KiJung Yoon , Renjie Liao , Yuwen Xiong , Lisa Zhang , Ethan Fetaya , Raquel Urtasun , Richard Zemel , Xaq Pitkow

Recently, the Weisfeiler-Lehman (WL) graph isomorphism test was used to measure the expressive power of graph neural networks (GNN). It was shown that the popular message passing GNN cannot distinguish between graphs that are…

Machine Learning · Computer Science 2020-06-11 Haggai Maron , Heli Ben-Hamu , Hadar Serviansky , Yaron Lipman

Graphs play an important role in many applications. Recently, Graph Neural Networks (GNNs) have achieved promising results in graph analysis tasks. Some state-of-the-art GNN models have been proposed, e.g., Graph Convolutional Networks…

Machine Learning · Computer Science 2021-09-29 Yaoman Li , Irwin King

Graph Neural Networks (GNNs) are an effective framework for representation learning of graphs. GNNs follow a neighborhood aggregation scheme, where the representation vector of a node is computed by recursively aggregating and transforming…

Machine Learning · Computer Science 2019-02-26 Keyulu Xu , Weihua Hu , Jure Leskovec , Stefanie Jegelka

The existing research on robust Graph Neural Networks (GNNs) fails to acknowledge the significance of directed graphs in providing rich information about networks' inherent structure. This work presents the first investigation into the…

Machine Learning · Computer Science 2023-06-06 Zhichao Hou , Xitong Zhang , Wei Wang , Charu C. Aggarwal , Xiaorui Liu

Graph Neural Networks (GNNs) have achieved remarkable success across diverse tasks on graph-structured data, primarily through the use of learned weights in message passing layers. In this paper, we demonstrate that random weights can be…

Machine Learning · Computer Science 2025-02-04 Thu Bui , Carola-Bibiane Schönlieb , Bruno Ribeiro , Beatrice Bevilacqua , Moshe Eliasof

Graph Neural Networks (GNNs) are key tools for graph representation learning, demonstrating strong results across diverse prediction tasks. In this paper, we present Convexified Message-Passing Graph Neural Networks (CGNNs), a novel and…

Machine Learning · Computer Science 2026-01-27 Saar Cohen , Noa Agmon , Uri Shaham

Massive Multiple-Input Multiple-Out (MIMO) detection is an important problem in modern wireless communication systems. While traditional Belief Propagation (BP) detectors perform poorly on loopy graphs, the recent Graph Neural Networks…

Information Theory · Computer Science 2022-06-15 Hongyi Li , Junxiang Wang , Yongchao Wang

We investigate the enhancement of graph neural networks' (GNNs) representation power through their ability in substructure counting. Recent advances have seen the adoption of subgraph GNNs, which partition an input graph into numerous…

Machine Learning · Computer Science 2024-06-14 Zuoyu Yan , Junru Zhou , Liangcai Gao , Zhi Tang , Muhan Zhang

Graph neural networks (GNNs) are typically applied to static graphs that are assumed to be known upfront. This static input structure is often informed purely by insight of the machine learning practitioner, and might not be optimal for the…

The landscape of financial transactions has grown increasingly complex due to the expansion of global economic integration and advancements in information technology. This complexity poses greater challenges in detecting and managing…

Statistical Finance · Quantitative Finance 2025-10-09 Dawei Cheng , Yao Zou , Sheng Xiang , Changjun Jiang

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
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