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Reconstructing components of a genomic mixture from data obtained by means of DNA sequencing is a challenging problem encountered in a variety of applications including single individual haplotyping and studies of viral communities.…

基因组学 · 定量生物学 2019-11-14 Ziqi Ke , Haris Vikalo

While symmetry has been exploited to analyze synchronization patterns in complex networks, the identification of symmetries in large-size network remains as a challenge. We present in the present work a new method, namely the method of…

适应与自组织系统 · 物理学 2023-08-04 Huwei Fan , Xingang Wang

A neural network is locally specialized to the extent that parts of its computational graph (i.e. structure) can be abstractly represented as performing some comprehensible sub-task relevant to the overall task (i.e. functionality). Are…

机器学习 · 计算机科学 2022-02-09 Shlomi Hod , Daniel Filan , Stephen Casper , Andrew Critch , Stuart Russell

Graph Isomorphism is one of the classical problems of graph theory for which no deterministic polynomial-time algorithm is currently known, but has been neither proven to be NP-complete. Several heuristic algorithms have been proposed to…

社会与信息网络 · 计算机科学 2015-11-23 Natarajan Meghanathan

Network scientists have shown that there is great value in studying pairwise interactions between components in a system. From a linear algebra point of view, this involves defining and evaluating functions of the associated adjacency…

社会与信息网络 · 计算机科学 2021-08-25 Francesco Tudisco , Desmond J. Higham

Graph neural networks (GNNs) have drawn significant research attention recently, mostly under the setting of semi-supervised learning. When task-agnostic representations are preferred or supervision is simply unavailable, the auto-encoder…

机器学习 · 计算机科学 2022-02-21 Mingyue Tang , Carl Yang , Pan Li

The problem of identifying important players in a given network is of pivotal importance for viral marketing, public health management, network security and various other fields of social network analysis. In this work we find the most…

离散数学 · 计算机科学 2017-11-03 Juvaria Tariq , Muhammad Ahmad , Imdadullah Khan , Mudassir Shabbir

A collaborative network is a social network that is comprised of experts who cooperate with each other to fulfill a special goal. Analyzing this network yields meaningful information about the expertise of these experts and their subject…

社会与信息网络 · 计算机科学 2021-04-14 N. Nikzad-Khasmakhi , M. A. Balafar , M. Reza Feizi-Derakhshi , Cina Motamed

It is well-known that the behavior of many dynamical processes running on networks is intimately related to the eigenvalue spectrum of the network. In this paper, we address the problem of inferring global information regarding the…

最优化与控制 · 数学 2011-01-14 Victor M. Preciado , Ali Jadbabaie

Many large, real-world complex networks have rich community structure that a network scientist seeks to understand. These communities may overlap or have intricate internal structure. Extracting communities with particular topological…

社会与信息网络 · 计算机科学 2016-09-20 Christine Klymko , Geoffrey Sanders

Many real-world complex systems have small-world topology characterized by the high clustering of nodes and short path lengths.It is well-known that higher clustering drives localization while shorter path length supports delocalization of…

无序系统与神经网络 · 物理学 2021-02-24 Ankit Mishra , Jayendra N. Bandyopadhyay , Sarika Jalan

Convolutional networks are ubiquitous in deep learning. They are particularly useful for images, as they reduce the number of parameters, reduce training time, and increase accuracy. However, as a model of the brain they are seriously…

机器学习 · 计算机科学 2022-01-19 Roman Pogodin , Yash Mehta , Timothy P. Lillicrap , Peter E. Latham

Embedding networks into a fixed dimensional feature space, while preserving its essential structural properties is a fundamental task in graph analytics. These feature vectors (graph descriptors) are used to measure the pairwise similarity…

数据库 · 计算机科学 2020-02-20 Zohair Raza Hassan , Mudassir Shabbir , Imdadullah Khan , Waseem Abbas

Detecting communities or the modular structure of real-life networks (e.g. a social network or a product purchase network) is an important task because the way a network functions is often determined by its communities. Traditional…

社会与信息网络 · 计算机科学 2020-06-30 Swarup Chattopadhyay , Debasis Ganguly

Node embeddings have become an ubiquitous technique for representing graph data in a low dimensional space. Graph autoencoders, as one of the widely adapted deep models, have been proposed to learn graph embeddings in an unsupervised way by…

机器学习 · 计算机科学 2019-08-13 Vaibhav , Po-Yao Huang , Robert Frederking

Numerous centrality measures have been developed to quantify the importances of nodes in time-independent networks, and many of them can be expressed as the leading eigenvector of some matrix. With the increasing availability of network…

物理与社会 · 物理学 2016-09-22 Dane Taylor , Sean A. Myers , Aaron Clauset , Mason A. Porter , Peter J. Mucha

Localization between a swarm of AUVs can be entirely estimated through the use of range measurements between neighboring AUVs via a class of techniques commonly referred to as sensor network localization. However, the localization quality…

机器人学 · 计算机科学 2020-10-07 Alan Papalia , John Leonard

We extend the latent position random graph model to the line graph of a random graph, which is formed by creating a vertex for each edge in the original random graph, and connecting each pair of edges incident to a common vertex in the…

社会与信息网络 · 计算机科学 2024-02-27 Zachary Lubberts , Avanti Athreya , Youngser Park , Carey E. Priebe

Nodes residing in different parts of a graph can have similar structural roles within their local network topology. The identification of such roles provides key insight into the organization of networks and can be used for a variety of…

社会与信息网络 · 计算机科学 2018-06-21 Claire Donnat , Marinka Zitnik , David Hallac , Jure Leskovec

Graph embedding provides a feasible methodology to conduct pattern classification for graph-structured data by mapping each data into the vectorial space. Various pioneering works are essentially coding method that concentrates on a…

机器学习 · 计算机科学 2022-10-04 Xue Liu , Dan Sun , Xiaobo Cao , Hao Ye , Wei Wei