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To deepen our understanding of graph neural networks, we investigate the representation power of Graph Convolutional Networks (GCN) through the looking glass of graph moments, a key property of graph topology encoding path of various…

Machine Learning · Computer Science 2019-11-04 Nima Dehmamy , Albert-László Barabási , Rose Yu

Graph Neural Networks (GNNs) extend the success of neural networks to graph-structured data by accounting for their intrinsic geometry. While extensive research has been done on developing GNN models with superior performance according to a…

Capturing the dynamics of active particles, i.e., small self-propelled agents that both deform and are deformed by a fluid in which they move is a formidable problem as it requires coupling fine scale hydrodynamics with large scale…

Soft Condensed Matter · Physics 2025-09-09 Sadra Saremi , Amirhossein Ahmadkhan Kordbacheh

Graph neural networks (GNNs) have received much attention recently because of their excellent performance on graph-based tasks. However, existing research on GNNs focuses on designing more effective models without considering much about the…

Machine Learning · Computer Science 2021-04-20 Han Yang , Xiao Yan , Xinyan Dai , Yongqiang Chen , James Cheng

Graph neural networks (GNNs) have found extensive applications in learning from graph data. However, real-world graphs often possess diverse structures and comprise nodes and edges of varying types. To bolster the generalization capacity of…

Machine Learning · Computer Science 2023-10-18 Haotao Wang , Ziyu Jiang , Yuning You , Yan Han , Gaowen Liu , Jayanth Srinivasa , Ramana Rao Kompella , Zhangyang Wang

Graph Neural Networks have demonstrated significant success in graph classification tasks, yet they often require substantial computational resources and struggle to capture global graph properties effectively. We introduce LightTopoGAT, a…

Machine Learning · Computer Science 2025-12-16 Ankit Sharma , Sayan Roy Gupta

Effectively predicting molecular interactions has the potential to accelerate molecular dynamics by multiple orders of magnitude and thus revolutionize chemical simulations. Graph neural networks (GNNs) have recently shown great successes…

Computational Physics · Physics 2024-06-25 Johannes Gasteiger , Florian Becker , Stephan Günnemann

We use a semisupervised learning algorithm based on a topological data analysis approach to assign functional categories to yeast proteins using similarity graphs. This new approach to analyzing biological networks yields results that are…

Computational Engineering, Finance, and Science · Computer Science 2014-08-26 R. Sean Bowman , Douglas Heisterkamp , Jesse Johnson , Danielle O'Donnol

Unsupervised graph representation learning aims to learn low-dimensional node embeddings without supervision while preserving graph topological structures and node attributive features. Previous graph neural networks (GNN) require a large…

Machine Learning · Computer Science 2020-09-04 Yanqiao Zhu , Yichen Xu , Feng Yu , Shu Wu , Liang Wang

The recent development of high-throughput sequencing creates a large collection of multi-omics data, which enables researchers to better investigate cancer molecular profiles and cancer taxonomy based on molecular subtypes. Integrating…

Genomics · Quantitative Biology 2024-01-25 Bingjun Li , Sheida Nabavi

In this paper, we consider the problem of power control for a wireless network with an arbitrarily time-varying topology, including the possible addition or removal of nodes. A data-driven design methodology that leverages graph neural…

Networking and Internet Architecture · Computer Science 2022-05-25 Ivana Nikoloska , Osvaldo Simeone

Graph neural networks (GNNs) have been widely used in many real applications, and recent studies have revealed their vulnerabilities against topology attacks. To address this issue, existing efforts have mainly been dedicated to improving…

Machine Learning · Computer Science 2022-04-27 Senrong Xu , Yuan Yao , Liangyue Li , Wei Yang , Feng Xu , Hanghang Tong

Recently many efforts have been devoted to applying graph neural networks (GNNs) to molecular property prediction which is a fundamental task for computational drug and material discovery. One of major obstacles to hinder the successful…

Machine Learning · Computer Science 2021-09-27 Shuangli Li , Jingbo Zhou , Tong Xu , Dejing Dou , Hui Xiong

Power grid operation is becoming increasingly complex due to the increase in generation of renewable energy. The recent series of Learning To Run a Power Network (L2RPN) competitions have encouraged the use of artificial agents to assist…

Artificial Intelligence · Computer Science 2024-08-20 Matthijs de Jong , Jan Viebahn , Yuliya Shapovalova

Graph neural networks (GNNs) are a class of deep models that operate on data with arbitrary topology represented as graphs. We introduce an efficient memory layer for GNNs that can jointly learn node representations and coarsen the graph.…

Machine Learning · Computer Science 2020-06-11 Amir Hosein Khasahmadi , Kaveh Hassani , Parsa Moradi , Leo Lee , Quaid Morris

Understanding protein structure-function relationships is a key challenge in computational biology, with applications across the biotechnology and pharmaceutical industries. While it is known that protein structure directly impacts protein…

Biomolecules · Quantitative Biology 2020-11-02 Nicolas Swenson , Aditi S. Krishnapriyan , Aydin Buluc , Dmitriy Morozov , Katherine Yelick

Graph Neural Networks (GNNs) have proven to be highly effective for node classification tasks across diverse graph structural patterns. Traditionally, GNNs employ a uniform global filter, typically a low-pass filter for homophilic graphs…

Machine Learning · Computer Science 2024-06-06 Haoyu Han , Juanhui Li , Wei Huang , Xianfeng Tang , Hanqing Lu , Chen Luo , Hui Liu , Jiliang Tang

We present a novel set of rigorous and computationally efficient topology-based complexity notions that exhibit a strong correlation with the generalization gap in modern deep neural networks (DNNs). DNNs show remarkable generalization…

Machine Learning · Computer Science 2024-12-17 Rayna Andreeva , Benjamin Dupuis , Rik Sarkar , Tolga Birdal , Umut Şimşekli

Graph Neural Networks (GNNs) are a promising deep learning approach for circumventing many real-world problems on graph-structured data. However, these models usually have at least one of four fundamental limitations: over-smoothing,…

Machine Learning · Computer Science 2022-10-03 Xun Liu , Alex Hay-Man Ng , Fangyuan Lei , Yikuan Zhang , Zhengmin Li

Recently, Graph Neural Networks (GNNs) have greatly advanced the task of graph classification. Typically, we first build a unified GNN model with graphs in a given training set and then use this unified model to predict labels of all the…

Machine Learning · Computer Science 2021-12-15 Yiqi Wang , Yao Ma , Wei Jin , Chaozhuo Li , Charu Aggarwal , Jiliang Tang