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Recently, Transformers for graph representation learning have become increasingly popular, achieving state-of-the-art performance on a wide-variety of graph datasets, either alone or in combination with message-passing graph neural networks…

机器学习 · 计算机科学 2024-05-07 Ayush Garg

Positional Encodings (PEs) are essential for injecting structural information into Graph Neural Networks (GNNs), particularly Graph Transformers, yet their empirical impact remains insufficiently understood. We introduce a unified…

机器学习 · 计算机科学 2026-01-15 Florian Grötschla , Jiaqing Xie , Roger Wattenhofer

Graph neural networks (GNNs) have become the standard learning architectures for graphs. GNNs have been applied to numerous domains ranging from quantum chemistry, recommender systems to knowledge graphs and natural language processing. A…

机器学习 · 计算机科学 2022-02-11 Vijay Prakash Dwivedi , Anh Tuan Luu , Thomas Laurent , Yoshua Bengio , Xavier Bresson

Graph neural networks (GNNs) largely rely on the message-passing paradigm, where nodes iteratively aggregate information from their neighbors. Yet, standard message passing neural networks (MPNNs) face well-documented theoretical and…

机器学习 · 计算机科学 2026-05-15 Juan Amboage , Ernst Röell , Patrick Schnider , Bastian Rieck

We propose a novel positional encoding for learning graph on Transformer architecture. Existing approaches either linearize a graph to encode absolute position in the sequence of nodes, or encode relative position with another node using…

机器学习 · 计算机科学 2022-10-17 Wonpyo Park , Woonggi Chang , Donggeon Lee , Juntae Kim , Seung-won Hwang

A current goal in the graph neural network literature is to enable transformers to operate on graph-structured data, given their success on language and vision tasks. Since the transformer's original sinusoidal positional encodings (PEs)…

机器学习 · 计算机科学 2023-04-11 Patrick Soga , David Chiang

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…

机器学习 · 计算机科学 2026-05-29 Javier Porras-Valenzuela , Zhiyang Wang , Xiaotao Shang , Yusu Wang , Alejandro Ribeiro

Graph Transformers, which incorporate self-attention and positional encoding, have recently emerged as a powerful architecture for various graph learning tasks. Despite their impressive performance, the complex non-convex interactions…

机器学习 · 计算机科学 2024-06-05 Hongkang Li , Meng Wang , Tengfei Ma , Sijia Liu , Zaixi Zhang , Pin-Yu Chen

Graph neural networks (GNNs) provide a powerful and scalable solution for modeling continuous spatial data. However, they often rely on Euclidean distances to construct the input graphs. This assumption can be improbable in many real-world…

机器学习 · 计算机科学 2023-02-20 Konstantin Klemmer , Nathan Safir , Daniel B. Neill

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…

Graph neural networks (GNNs) have been widely used in representation learning on graphs and achieved state-of-the-art performance in tasks such as node classification and link prediction. However, most existing GNNs are designed to learn…

机器学习 · 计算机科学 2020-02-06 Seongjun Yun , Minbyul Jeong , Raehyun Kim , Jaewoo Kang , Hyunwoo J. Kim

Positional and structural encodings (PSE) enable better identifiability of nodes within a graph, rendering them essential tools for empowering modern GNNs, and in particular graph Transformers. However, designing PSEs that work optimally…

Graph Neural Networks (GNNs) are deep learning methods which provide the current state of the art performance in node classification tasks. GNNs often assume homophily -- neighboring nodes having similar features and labels--, and therefore…

机器学习 · 计算机科学 2021-10-26 Liheng Ma , Reihaneh Rabbany , Adriana Romero-Soriano

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…

机器学习 · 计算机科学 2024-06-04 Zexi Liu , Bohan Tang , Ziyuan Ye , Xiaowen Dong , Siheng Chen , Yanfeng Wang

Graph neural networks (GNNs) leverage message passing mechanisms to learn the topological features of graph data. Traditional GNNs learns node features in a spatial domain unrelated to the topology, which can hardly ensure topological…

机器学习 · 计算机科学 2025-05-30 Juwei Yue , Haikuo Li , Jiawei Sheng , Xiaodong Li , Taoyu Su , Tingwen Liu , Li Guo

Several recent works use positional encodings to extend the receptive fields of graph neural network (GNN) layers equipped with attention mechanisms. These techniques, however, extend receptive fields to the complete graph, at substantial…

机器学习 · 计算机科学 2023-12-14 Rickard Brüel-Gabrielsson , Mikhail Yurochkin , Justin Solomon

The local inductive bias of message-passing graph neural networks (GNNs) hampers their ability to exploit key structural information (e.g., connectivity and cycles). Positional encoding (PE) and Persistent Homology (PH) have emerged as two…

机器学习 · 计算机科学 2025-06-09 Yogesh Verma , Amauri H. Souza , Vikas Garg

Graph Neural Networks (GNNs) have emerged as the de facto standard for modeling graph data, with attention mechanisms and transformers significantly enhancing their performance on graph-based tasks. Despite these advancements, the…

机器学习 · 计算机科学 2025-04-07 Nikhil Shivakumar Nayak

Graph Neural Networks (GNNs) have been widely applied to various fields due to their powerful representations of graph-structured data. Despite the success of GNNs, most existing GNNs are designed to learn node representations on the fixed…

机器学习 · 计算机科学 2021-06-14 Seongjun Yun , Minbyul Jeong , Sungdong Yoo , Seunghun Lee , Sean S. Yi , Raehyun Kim , Jaewoo Kang , Hyunwoo J. Kim

Supervised learning with tabular data presents unique challenges, including low data sizes, the absence of structural cues, and heterogeneous features spanning both categorical and continuous domains. Unlike vision and language tasks, where…

机器学习 · 计算机科学 2025-12-18 Yunze Leng , Rohan Ghosh , Mehul Motani
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