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We propose a method for characterizing large complex networks by introducing a new matrix structure, unique for a given network, which encodes structural information; provides useful visualization, even for very large networks; and allows…

无序系统与神经网络 · 物理学 2008-02-28 J. P. Bagrow , E. M. Bollt , J. D. Skufca , D. ben-Avraham

Graph representation learning based on graph neural networks (GNNs) can greatly improve the performance of downstream tasks, such as node and graph classification. However, the general GNN models do not aggregate node information in a…

机器学习 · 计算机科学 2020-07-30 Fei Ding , Xiaohong Zhang , Justin Sybrandt , Ilya Safro

Network theory has proven to be a powerful tool in describing and analyzing systems by modelling the relations between their constituent objects. In recent years great progress has been made by augmenting `traditional' network theory.…

数据分析、统计与概率 · 物理学 2016-06-03 Dominik Traxl , Niklas Boers , Jürgen Kurths

Network science explores intricate connections among objects, employed in diverse domains like social interactions, fraud detection, and disease spread. Visualization of networks facilitates conceptualizing research questions and forming…

社会与信息网络 · 计算机科学 2024-01-11 Octavious Smiley , Till Hoffmann , Jukka-Pekka Onnela

Graph Neural Networks (GNNs) have received considerable attention on graph-structured data learning for a wide variety of tasks. The well-designed propagation mechanism which has been demonstrated effective is the most fundamental part of…

机器学习 · 计算机科学 2021-01-29 Meiqi Zhu , Xiao Wang , Chuan Shi , Houye Ji , Peng Cui

How to extract useful insights from data is always a challenge, especially if the data is multidimensional. Often, the data can be organized according to certain hierarchical structure that are stemmed either from data collection process or…

应用统计 · 统计学 2016-04-21 Kun Yang , Wing Hung Wong

Finding a suitable data representation for a specific task has been shown to be crucial in many applications. The success of subspace clustering depends on the assumption that the data can be separated into different subspaces. However,…

计算机视觉与模式识别 · 计算机科学 2021-06-21 Zhengrui Ma , Zhao Kang , Guangchun Luo , Ling Tian

Graph representation learning has achieved a remarkable success in many graph-based applications, such as node classification, link prediction, and community detection. These models are usually designed to preserve the vertex information at…

社会与信息网络 · 计算机科学 2020-01-22 Kangfei Zhao , Yu Rong , Jeffrey Xu Yu , Junzhou Huang , Hao Zhang

A significant portion of the data today, e.g, social networks, web connections, etc., can be modeled by graphs. A proper analysis of graphs with Machine Learning (ML) algorithms has the potential to yield far-reaching insights into many…

社会与信息网络 · 计算机科学 2020-09-11 Taha Atahan Akyildiz , Amro Alabsi Aljundi , Kamer Kaya

Graphs are a representation of structured data that captures the relationships between sets of objects. With the ubiquity of available network data, there is increasing industrial and academic need to quickly analyze graphs with billions of…

机器学习 · 计算机科学 2023-07-28 Brandon Mayer , Anton Tsitsulin , Hendrik Fichtenberger , Jonathan Halcrow , Bryan Perozzi

Data visualization is the process by which data of any size or dimensionality is processed to produce an understandable set of data in a lower dimensionality, allowing it to be manipulated and understood more easily by people. The goal of…

图形学 · 计算机科学 2021-07-06 Alexander Kiefer , Md. Khaledur Rahman

Graph representation learning is a fast-growing field where one of the main objectives is to generate meaningful representations of graphs in lower-dimensional spaces. The learned embeddings have been successfully applied to perform various…

机器学习 · 计算机科学 2021-12-21 Md. Khaledur Rahman , Ariful Azad

Graph Visualization, also known as Graph Drawing, aims to find geometric embeddings of graphs that optimize certain criteria. Stress is a widely used metric; stress is minimized when every pair of nodes is positioned at their shortest path…

计算几何 · 计算机科学 2024-02-13 Florian Grötschla , Joël Mathys , Robert Veres , Roger Wattenhofer

There has been appreciable progress in unsupervised network representation learning (UNRL) approaches over graphs recently with flexible random-walk approaches, new optimization objectives and deep architectures. However, there is no common…

机器学习 · 计算机科学 2020-03-12 Megha Khosla , Vinay Setty , Avishek Anand

Network clustering requires making many decisions manually, such as the number of groups and a statistical model to be used. Even after filtering using an information criterion or regularizing with a nonparametric framework, we are commonly…

社会与信息网络 · 计算机科学 2019-06-05 Chihiro Noguchi , Tatsuro Kawamoto

Recent advances in representation learning on graphs, mainly leveraging graph convolutional networks, have brought a substantial improvement on many graph-based benchmark tasks. While novel approaches to learning node embeddings are highly…

机器学习 · 统计学 2018-11-06 Cătălina Cangea , Petar Veličković , Nikola Jovanović , Thomas Kipf , Pietro Liò

Neural compression is the application of neural networks and other machine learning methods to data compression. Recent advances in statistical machine learning have opened up new possibilities for data compression, allowing compression…

机器学习 · 计算机科学 2023-08-22 Yibo Yang , Stephan Mandt , Lucas Theis

Current image processing methods usually operate on the finest-granularity unit; that is, the pixel, which leads to challenges in terms of efficiency, robustness, and understandability in deep learning models. We present an improved…

计算机视觉与模式识别 · 计算机科学 2023-03-07 Xia Shuyin , Dai Dawei , Yang Long , Zhany Li , Lan Danf , Zhu hao , Wang Guoy

In this paper we review basic and emerging models and associated algorithms for large-scale tensor networks, especially Tensor Train (TT) decompositions using novel mathematical and graphical representations. We discus the concept of…

数值分析 · 计算机科学 2014-08-25 Andrzej Cichocki

Hierarchical abstractions are a methodology for solving large-scale graph problems in various disciplines. Coarsening is one such approach: it generates a pyramid of graphs whereby the one in the next level is a structural summary of the…

机器学习 · 计算机科学 2020-12-08 Tengfei Ma , Jie Chen