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Feature descriptors play a crucial role in a wide range of geometry analysis and processing applications, including shape correspondence, retrieval, and segmentation. In this paper, we introduce Geodesic Convolutional Neural Networks…

Computer Vision and Pattern Recognition · Computer Science 2018-06-11 Jonathan Masci , Davide Boscaini , Michael M. Bronstein , Pierre Vandergheynst

Graph convolution is the core of most Graph Neural Networks (GNNs) and usually approximated by message passing between direct (one-hop) neighbors. In this work, we remove the restriction of using only the direct neighbors by introducing a…

Social and Information Networks · Computer Science 2022-04-06 Johannes Gasteiger , Stefan Weißenberger , Stephan Günnemann

Graph neural networks (GNNs) are powerful machine learning models for various graph learning tasks. Recently, the limitations of the expressive power of various GNN models have been revealed. For example, GNNs cannot distinguish some…

Machine Learning · Computer Science 2021-01-19 Ryoma Sato , Makoto Yamada , Hisashi Kashima

Heterogeneous graphs offer powerful data representations for traffic, given their ability to model the complex interaction effects among a varying number of traffic participants and the underlying road infrastructure. With the recent advent…

Machine Learning · Computer Science 2023-04-25 Eivind Meyer , Maurice Brenner , Bowen Zhang , Max Schickert , Bilal Musani , Matthias Althoff

Understanding and predicting interface diffusion phenomena in materials is crucial for various industrial applications, including semiconductor manufacturing, battery technology, and catalysis. In this study, we propose a novel approach…

Materials Science · Physics 2025-01-13 Zirui Zhao , Hai-Feng Li

In this work, we have proposed an approach for improving the GCN for predicting ratings in social networks. Our model is expanded from the standard model with several layers of transformer architecture. The main focus of the paper is on the…

Machine Learning · Computer Science 2024-01-15 Thi Linh Hoang , Tuan Dung Pham , Viet Cuong Ta

Important advances have been made using convolutional neural network (CNN) approaches to solve complicated problems in areas that rely on grid structured data such as image processing and object classification. Recently, research on graph…

Machine Learning · Statistics 2018-08-24 Matthew Baron

The prosperity of computer vision (CV) and natural language procession (NLP) in recent years has spurred the development of deep learning in many other domains. The advancement in machine learning provides us with an alternative option…

Machine Learning · Computer Science 2020-12-02 Chen Qian , Yunhai Xiong , Xiang Chen

Graph neural networks (GNNs) enable the analysis of graphs using deep learning, with promising results in capturing structured information in graphs. This paper focuses on creating a small graph to represent the original graph, so that GNNs…

Machine Learning · Computer Science 2022-06-29 Mengyang Liu , Shanchuan Li , Xinshi Chen , Le Song

Graph convolutional networks (GCNs) have emerged as powerful models for graph learning tasks, exhibiting promising performance in various domains. While their empirical success is evident, there is a growing need to understand their…

Machine Learning · Computer Science 2025-09-30 Guangrui Yang , Ming Li , Han Feng , Xiaosheng Zhuang

We generalize the scattering transform to graphs and consequently construct a convolutional neural network on graphs. We show that under certain conditions, any feature generated by such a network is approximately invariant to permutations…

Information Theory · Computer Science 2020-09-10 Dongmian Zou , Gilad Lerman

Graph convolutional neural networks (GCNNs) are nonlinear processing tools to learn representations from network data. A key property of GCNNs is their stability to graph perturbations. Current analysis considers deterministic perturbations…

Machine Learning · Computer Science 2021-06-22 Zhan Gao , Elvin Isufi , Alejandro Ribeiro

This study proposes a novel Graph Convolutional Neural Network with Data-driven Graph Filter (GCNN-DDGF) model that can learn hidden heterogeneous pairwise correlations among stations to predict station-level hourly demand in a large-scale…

Signal Processing · Electrical Eng. & Systems 2020-04-21 Lei Lin , Weizi Li , Srinivas Peeta

Graph Convolutional Networks (GCNs) have recently become the primary choice for learning from graph-structured data, superseding hash fingerprints in representing chemical compounds. However, GCNs lack the ability to take into account the…

Machine Learning · Computer Science 2020-07-03 Tomasz Danel , Przemysław Spurek , Jacek Tabor , Marek Śmieja , Łukasz Struski , Agnieszka Słowik , Łukasz Maziarka

Graph convolutional neural networks (GCNN) have been successfully applied to many different graph based learning tasks including node and graph classification, matrix completion, and learning of node embeddings. Despite their impressive…

Machine Learning · Computer Science 2019-10-29 Soumyasundar Pal , Florence Regol , Mark Coates

Spectral graph convolutional network (SGCN) is a kind of graph neural networks (GNN) based on graph signal filters, and has shown compelling expressivity for modeling graph-structured data. Most SGCNs adopt polynomial filters and learn the…

Machine Learning · Computer Science 2024-05-07 Feng Huang , Wen Zhang

Generative models generate vast numbers of hypothetical materials, necessitating fast, accurate models for property prediction. Graph Neural Networks (GNNs) excel in this domain but face challenges like high training costs, domain…

Materials Science · Physics 2025-01-08 Hongwei Du , Jiamin Wang , Jian Hui , Lanting Zhang , Hong Wang

Graph-based neural network models are gaining traction in the field of representation learning due to their ability to uncover latent topological relationships between entities that are otherwise challenging to identify. These models have…

Image and Video Processing · Electrical Eng. & Systems 2023-07-25 Aryan Singh , Pepijn Van de Ven , Ciarán Eising , Patrick Denny

Modern microelectronic devices are composed of interfaces between a large number of materials, many of which are in amorphous or polycrystalline phases. Modeling such non-crystalline materials using first-principles methods such as density…

Materials Science · Physics 2023-10-12 Pratik Brahma , Krishnakumar Bhattaram , Sayeef Salahuddin

Learning and reasoning about 3D molecular structures with varying size is an emerging and important challenge in machine learning and especially in drug discovery. Equivariant Graph Neural Networks (GNNs) can simultaneously leverage the…

Machine Learning · Computer Science 2022-03-03 Tuan Le , Frank Noé , Djork-Arné Clevert