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Relations between discrete quantities such as people, genes, or streets can be described by networks, which consist of nodes that are connected by edges. Network analysis aims to identify important nodes in a network and to uncover…

数值分析 · 数学 2021-09-21 A. Concas , S. Noschese , L. Reichel , G. Rodriguez

We address the problem of disentangled representation learning with independent latent factors in graph convolutional networks (GCNs). The current methods usually learn node representation by describing its neighborhood as a perceptual…

机器学习 · 计算机科学 2019-11-27 Yanbei Liu , Xiao Wang , Shu Wu , Zhitao Xiao

Motivated by the relationship between the eigenvalue spectrum of the Laplacian matrix of a network and the behavior of dynamical processes evolving in it, we propose a distributed iterative algorithm in which a group of $n$ autonomous…

最优化与控制 · 数学 2012-09-10 Victor M. Preciado , Michael M. Zavlanos , Ali Jadbabaie

Network equilibrium models represent a versatile tool for the analysis of interconnected objects and their relationships. They have been widely employed in both science and engineering to study the behavior of complex systems under various…

适应与自组织系统 · 物理学 2024-10-31 Omar Aloui , David Orden , Nizar Bel Hadj Ali , Landolf Rhode-Barbarigos

Many machine learning applications use latent variable models to explain structure in data, whereby visible variables (= coordinates of the given datapoint) are explained as a probabilistic function of some hidden variables. Finding…

机器学习 · 计算机科学 2016-12-30 Sanjeev Arora , Rong Ge , Tengyu Ma , Andrej Risteski

With the rapid growth of online social network sites (SNS), it has become imperative for platform owners and online marketers to investigate what drives content production on these platforms. However, previous research has found it…

社会与信息网络 · 计算机科学 2018-11-28 Prasanta Bhattacharya , Tuan Q. Phan , Xue Bai , Edoardo Airoldi

Formation and fragmentation of networks is typically studied using percolation theory, but most previous research has been restricted to studying a phase transition in cluster size, examining the emergence of a giant component. This…

物理与社会 · 物理学 2013-10-22 Dane Taylor , Daniel B. Larremore

Deep convolutional neural networks perform better on images containing spatially invariant degradations, also known as synthetic degradations; however, their performance is limited on real-degraded photographs and requires multiple-stage…

计算机视觉与模式识别 · 计算机科学 2020-10-02 Saeed Anwar , Nick Barnes , Lars Petersson

We consider a network of agents. Associated with each agent are her covariate and outcome. Agents influence each other's outcomes according to a certain connection/influence structure. A subset of the agents participate on a platform, and…

社会与信息网络 · 计算机科学 2022-01-28 Baris Ata , Alexandre Belloni , Ozan Candogan

Agent-based models (ABMs) simulate the formation and evolution of social processes at a fundamental level by decoupling agent behavior from global observations. In the case where ABM networks evolve over time as a result of (or in…

社会与信息网络 · 计算机科学 2023-08-11 Karleigh Pine , Joel Klipfel , Jared Bennett , Nathaniel Bade , Christian Manasseh

We propose a framework to analyze how multivariate representations disentangle ground-truth generative factors. A quantitative analysis of disentanglement has been based on metrics designed to compare how one variable explains each…

机器学习 · 统计学 2022-02-11 Seiya Tokui , Issei Sato

This paper presents the foundation for a decomposition theory for Boolean networks, a type of discrete dynamical system that has found a wide range of applications in the life sciences, engineering, and physics. Given a Boolean network…

Dimension reduction techniques for dynamical systems on networks are considered to promote our understanding of the original high-dimensional dynamics. One strategy of dimension reduction is to derive a low-dimensional dynamical system…

物理与社会 · 物理学 2022-08-05 Naoki Masuda , Prosenjit Kundu

With multiple potential mediators on the causal pathway from a treatment to an outcome, we consider the problem of decomposing the effects along multiple possible causal path(s) through each distinct mediator. Under Pearl's path-specific…

统计方法学 · 统计学 2021-02-04 Wen Wei Loh , Beatrijs Moerkerke , Tom Loeys , Stijn Vansteelandt

The first mitigation response to the Covid-19 pandemic was to limit person-to-person interaction as much as possible. This was implemented by the temporary closing of many workplaces and people were required to follow social distancing.…

物理与社会 · 物理学 2020-06-17 Parul Maheshwari , Réka Albert

We introduce the graphlet decomposition of a weighted network, which encodes a notion of social information based on social structure. We develop a scalable inference algorithm, which combines EM with Bron-Kerbosch in a novel fashion, for…

统计方法学 · 统计学 2012-03-14 Hossein Azari Soufiani , Edoardo M Airoldi

Characterizing the importances (i.e., centralities) of nodes in social, biological, and technological networks is a core topic in both network science and data science. We present a linear-algebraic framework that generalizes…

社会与信息网络 · 计算机科学 2020-08-05 Dane Taylor , Mason A. Porter , Peter J. Mucha

In a dynamic network, the neighborhood of the vertices evolve across different temporal snapshots of the network. Accurate modeling of this temporal evolution can help solve complex tasks involving real-life social and interaction networks.…

社会与信息网络 · 计算机科学 2018-04-17 Tanay Kumar Saha , Thomas Williams , Mohammad Al Hasan , Shafiq Joty , Nicholas K. Varberg

Mediation analysis is a crucial tool for uncovering the mechanisms through which a treatment affects the outcome, providing deeper causal insights and guiding effective interventions. Despite advances in analyzing the mediation effect with…

统计方法学 · 统计学 2025-08-11 Shi Bo , AmirEmad Ghassami , Debarghya Mukherjee

We regard pre-trained residual networks (ResNets) as nonlinear systems and use linearization, a common method used in the qualitative analysis of nonlinear systems, to understand the behavior of the networks under small perturbations of the…

机器学习 · 计算机科学 2019-06-03 Kai Rothauge , Zhewei Yao , Zixi Hu , Michael W. Mahoney