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In this paper we present a decentralized algorithm to estimate the eigenvalues of the Laplacian matrix that encodes the network topology of a multi-agent system. We consider network topologies modeled by undirected graphs. The basic idea is…

Systems and Control · Computer Science 2012-06-21 Mauro Franceschelli , Andrea Gasparri , Alessandro Giua , Carla Seatzu

Multilayer networks have become increasingly ubiquitous across diverse scientific fields, ranging from social sciences and biology to economics and international relations. Despite their broad applications, the inferential theory for…

Methodology · Statistics 2026-02-24 Zhaozhe Liu , Gongjun Xu , Haoran Zhang

In this paper, we adopt a latent variable method to formulate a network model with arbitrarily dependent structure. We assume that the latent variables follow a multivariate normal distribution and a link between two nodes forms if the sum…

Methodology · Statistics 2018-03-28 Ting Yan

This work considers a computationally and statistically efficient parameter estimation method for a wide class of latent variable models---including Gaussian mixture models, hidden Markov models, and latent Dirichlet allocation---which…

Machine Learning · Computer Science 2014-11-17 Anima Anandkumar , Rong Ge , Daniel Hsu , Sham M. Kakade , Matus Telgarsky

Network embedding, which aims to learn low-dimensional representations of nodes, has been used for various graph related tasks including visualization, link prediction and node classification. Most existing embedding methods rely solely on…

Social and Information Networks · Computer Science 2019-08-22 Palash Goyal , Homa Hosseinmardi , Emilio Ferrara , Aram Galstyan

A semi-parametric, non-linear regression model in the presence of latent variables is applied towards learning network graph structure. These latent variables can correspond to unmodeled phenomena or unmeasured agents in a complex system of…

Machine Learning · Statistics 2018-07-03 Jonathan Mei , José M. F. Moura

We explore the block nature of the matrix representation of multiplex networks, introducing a new formalism to deal with its spectral properties as a function of the inter-layer coupling parameter. This approach allows us to derive…

Physics and Society · Physics 2018-07-17 Guilherme Ferraz de Arruda , Emanuele Cozzo , Francisco A. Rodrigues , Yamir Moreno

Mediation analysis is widely used for exploring treatment mechanisms; however, it faces challenges when nonignorable missing confounders are present. Efficient inference of mediation effects and the efficiency loss due to nonignorable…

Methodology · Statistics 2026-04-22 Jiawei Shan , Wei Li , Chunrong Ai

The early identification and intervention of latent depression are of significant societal importance for mental health governance. While current automated detection methods based on social media have shown progress, their decision-making…

Quantitative Methods · Quantitative Biology 2025-12-17 Junwei Kuang , Jiaheng Xie , Zhijun Yan

Our work aims to reproduce the set of findings published in "Network Deconvolution" by Ye et al. (2020)[1]. That paper proposes an optimization technique for model training in convolutional neural networks. The proposed technique "network…

Computer Vision and Pattern Recognition · Computer Science 2024-10-03 Rochana R. Obadage , Kumushini Thennakoon , Sarah M. Rajtmajer , Jian Wu

A plethora of networks is being collected in a growing number of fields, including disease transmission, international relations, social interactions, and others. As data streams continue to grow, the complexity associated with these highly…

Machine Learning · Statistics 2018-09-11 Daniele Durante , Nabanita Mukherjee , Rebecca C. Steorts

In this paper, we proposed a novel two-stage optimization method for network community partition, which is based on inherent network structure information. The introduced optimization approach utilizes the new network centrality measure of…

Social and Information Networks · Computer Science 2019-07-16 Yiguang Bai , Sanyang Liu , Ke Yin , Jing Yuan

Eigendecomposition (ED) is widely used in deep networks. However, the backpropagation of its results tends to be numerically unstable, whether using ED directly or approximating it with the Power Iteration method, particularly when dealing…

Machine Learning · Computer Science 2019-06-28 Wei Wang , Zheng Dang , Yinlin Hu , Pascal Fua , Mathieu Salzmann

This paper describes a model for power distribution network, which is hten utilized for eigenvalue behavior distribution analysis. We utilized the compensation theory to model the event that occurs in the network and derived the relation…

Systems and Control · Electrical Eng. & Systems 2021-02-05 Nan Zhou , Lingen Luo , Gehao Sheng , Xiuchen Jiang

Differential graphical models are designed to represent the difference between the conditional dependence structures of two groups, thus are of particular interest for scientific investigation. Motivated by modern applications, this…

Statistics Theory · Mathematics 2021-02-03 Sen Na , Mladen Kolar , Oluwasanmi Koyejo

In the analysis of remote healthcare monitoring data, time series representation learning offers substantial value in uncovering deeper patterns of patient behavior, especially given the fine temporal granularity of the data. In this study,…

Artificial Intelligence · Computer Science 2025-02-17 Jin Cui , Alexander Capstick , Payam Barnaghi , Gregory Scott

A new dynamic latent space eigenmodel (LSM) is proposed for weighted temporal networks. The model accommodates integer-valued weights, excess of zeros, time-varying node positions (features), and time-varying network sparsity. The latent…

Methodology · Statistics 2026-04-15 Roberto Casarin , Matteo Iacopini , Antonio Peruzzi

The representation of data and its relationships using networks is prevalent in many research fields such as computational biology, medical informatics and social networks. Recently, complex networks models have been introduced to better…

Social and Information Networks · Computer Science 2021-03-08 Pietro Hiram Guzzi , Giuseppe Tradigo , Pierangelo Veltri

It is common to use networks to encode the architecture of interactions between entities in complex systems in the physical, biological, social, and information sciences. To study the large-scale behavior of complex systems, it is useful to…

Social and Information Networks · Computer Science 2023-07-14 Hanbaek Lyu , Yacoub H. Kureh , Joshua Vendrow , Mason A. Porter

Data collected over networks can be modelled as noisy observations of an unknown function over the nodes of a graph or network structure, fully described by its nodes and their connections, the edges. In this context, function estimation…

Methodology · Statistics 2024-10-18 Dingjia Cao , Marina I. Knight , Guy P. Nason