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Biological and cellular systems are often modeled as graphs in which vertices represent objects of interest (genes, proteins, drugs) and edges represent relational ties among these objects (binds-to, interacts-with, regulates). This…

机器学习 · 统计学 2017-03-16 Jose Lugo-Martinez , Predrag Radivojac

Graph neural network (GNN) is a deep model for graph representation learning. One advantage of graph neural network is its ability to incorporate node features into the learning process. However, this prevents graph neural network from…

机器学习 · 计算机科学 2019-11-21 Chi Thang Duong , Thanh Dat Hoang , Ha The Hien Dang , Quoc Viet Hung Nguyen , Karl Aberer

In this work, we generalize the ideas of Kaiming initialization to Graph Neural Networks (GNNs) and propose a new scheme (G-Init) that reduces oversmoothing, leading to very good results in node and graph classification tasks. GNNs are…

机器学习 · 计算机科学 2024-11-01 Dimitrios Kelesis , Dimitris Fotakis , Georgios Paliouras

Given a directed graph $G$ and integers $k$ and $l$, a D-core is the maximal subgraph $H \subseteq G$ such that for every vertex of $H$, its in-degree and out-degree are no smaller than $k$ and $l$, respectively. For a directed graph $G$,…

数据库 · 计算机科学 2022-02-15 Xuankun Liao , Qing Liu , Jiaxin Jiang , Xin Huang , Jianliang Xu , Byron Choi

We analytically describe the architecture of randomly damaged uncorrelated networks as a set of successively enclosed substructures -- k-cores. The k-core is the largest subgraph where vertices have at least k interconnections. We find the…

统计力学 · 物理学 2009-11-11 S. N. Dorogovtsev , A. V. Goltsev , J. F. F. Mendes

Despite much research, Graph Neural Networks (GNNs) still do not display the favorable scaling properties of other deep neural networks such as Convolutional Neural Networks and Transformers. Previous work has identified issues such as…

机器学习 · 计算机科学 2023-12-19 Ameen Ali , Hakan Cevikalp , Lior Wolf

Graph-structured data arise in many scenarios. A fundamental problem is to quantify the similarities of graphs for tasks such as classification. R-convolution graph kernels are positive-semidefinite functions that decompose graphs into…

机器学习 · 计算机科学 2022-01-25 Wei Ye , Omid Askarisichani , Alex Jones , Ambuj Singh

Graph Neural Networks (GNNs) have emerged as a powerful and flexible framework for representation learning on irregular data. As they generalize the operations of classical CNNs on grids to arbitrary topologies, GNNs also bring much of the…

机器学习 · 计算机科学 2021-03-31 Mehdi Bahri , Gaétan Bahl , Stefanos Zafeiriou

We describe a graph-based neural acceleration technique for nonnegative matrix factorization that builds upon a connection between matrices and bipartite graphs that is well-known in certain fields, e.g., sparse linear algebra, but has not…

机器学习 · 计算机科学 2022-02-02 Jens Sjölund , Maria Bånkestad

Graph embedding has attracted increasing attention due to its critical application in social network analysis. Most existing algorithms for graph embedding only rely on the typology information and fail to use the copious information in…

人工智能 · 计算机科学 2018-01-18 Guolei Sun , Xiangliang Zhang

Graph neural networks (GNN) have achieved state-of-the-art performance on various industrial tasks. However, the poor efficiency of GNN inference and frequent Out-Of-Memory (OOM) problem limit the successful application of GNN on edge…

机器学习 · 计算机科学 2021-04-13 Ao Zhou , Jianlei Yang , Yeqi Gao , Tong Qiao , Yingjie Qi , Xiaoyi Wang , Yunli Chen , Pengcheng Dai , Weisheng Zhao , Chunming Hu

We propose neighborhood-based core decomposition: a novel way of decomposing hypergraphs into hierarchical neighborhood-cohesive subhypergraphs. Alternative approaches to decomposing hypergraphs, e.g., reduction to clique or bipartite…

社会与信息网络 · 计算机科学 2023-04-11 Naheed Anjum Arafat , Arijit Khan , Arpit Kumar Rai , Bishwamittra Ghosh

Graph Neural Networks (GNNs) have greatly advanced the semi-supervised node classification task on graphs. The majority of existing GNNs are trained in an end-to-end manner that can be viewed as tackling a bi-level optimization problem.…

机器学习 · 计算机科学 2023-07-20 Haoyu Han , Xiaorui Liu , Haitao Mao , MohamadAli Torkamani , Feng Shi , Victor Lee , Jiliang Tang

Artificial neural networks which are inspired from the learning mechanism of brain have achieved great successes in many problems, especially those with deep layers. In this paper, we propose a nucleus neural network (NNN) and corresponding…

计算机视觉与模式识别 · 计算机科学 2019-05-15 Jia Liu , Maoguo Gong , Haibo He

Graph structures are ubiquitous throughout the natural sciences. Here we consider graph-structured quantum data and describe how to carry out its quantum machine learning via quantum neural networks. In particular, we consider training data…

量子物理 · 物理学 2021-03-22 Kerstin Beer , Megha Khosla , Julius Köhler , Tobias J. Osborne

Learning the graph topology of a complex network is challenging due to limited data availability and imprecise data models. A common remedy in existing works is to incorporate priors such as sparsity or modularity which highlight on the…

信号处理 · 电气工程与系统科学 2024-11-01 Chenyue Zhang , Shangyuan Liu , Hoi-To Wai , Anthony Man-Cho So

We study the NP-hard graph problem Collapsed k-Core where, given an undirected graph G and integers b, x, and k, we are asked to remove b vertices such that the k-core of remaining graph, that is, the (uniquely determined) largest induced…

离散数学 · 计算机科学 2018-06-01 Junjie Luo , Hendrik Molter , Ondrej Suchy

Deep representation learning on non-Euclidean data types, such as graphs, has gained significant attention in recent years. Invent of graph neural networks has improved the state-of-the-art for both node and the entire graph representation…

机器学习 · 计算机科学 2020-06-09 Sambaran Bandyopadhyay , Manasvi Aggarwal , M. Narasimha Murty

Deep neural networks for graphs have emerged as a powerful tool for learning on complex non-euclidean data, which is becoming increasingly common for a variety of different applications. Yet, although their potential has been widely…

机器人学 · 计算机科学 2023-10-09 Francesca Pistilli , Giuseppe Averta

The k-truss is a type of cohesive subgraphs proposed recently for the study of networks. While the problem of computing most cohesive subgraphs is NP-hard, there exists a polynomial time algorithm for computing k-truss. Compared with k-core…

数据库 · 计算机科学 2012-05-31 Jia Wang , James Cheng