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Social network data can be expensive to collect. Breza et al. (2017) propose aggregated relational data (ARD) as a low-cost substitute that can be used to recover the structure of a latent social network when it is generated by a specific…

Econometrics · Economics 2020-01-20 Hossein Alidaee , Eric Auerbach , Michael P. Leung

Collecting complete network data is expensive, time-consuming, and often infeasible. Aggregated Relational Data (ARD), which capture information about a social network by asking a respondent questions of the form ``How many people with…

Methodology · Statistics 2022-10-24 Emily Breza , Arun G. Chandrasekhar , Shane Lubold , Tyler H. McCormick , Mengjie Pan

This study introduces a novel approach for inferring social network structures using Aggregate Relational Data (ARD), addressing the challenge of limited detailed network data availability. By integrating ARD with variational approximation…

Econometrics · Economics 2025-09-04 Xunkang Tian

Aggregated relational data is widely collected to study social networks, in fields such as sociology, public health and economics. Many of the successes of ARD inference have been driven by increasingly complex Bayesian models, which…

Methodology · Statistics 2026-03-31 Owen G. Ward , Anna L. Smith , Tian Zheng

Aggregated Relational Data (ARD) contain summary information about individual social networks and are widely used to estimate social network characteristics and the size of populations of interest. Although a variety of ARD estimators…

Methodology · Statistics 2026-01-27 Ian Laga , Benjamin Vogel , Jieyun Wang , Anna Smith , Owen Ward

Social network data is often prohibitively expensive to collect, limiting empirical network research. Typical economic network mapping requires (1) enumerating a census, (2) eliciting the names of all network links for each individual, (3)…

Methodology · Statistics 2018-08-03 Emily Breza , Arun G. Chandrasekhar , Tyler H. McCormick , Mengjie Pan

Sparse recovery in linear systems underpins applications from signal processing to high-dimensional regression. Sparse Bayesian Learning, grounded in the principle of automatic relevance determination (ARD), offers a practical Bayesian…

We present a discriminative nonparametric latent feature relational model (LFRM) for link prediction to automatically infer the dimensionality of latent features. Under the generic RegBayes (regularized Bayesian inference) framework, we…

Machine Learning · Computer Science 2015-12-08 Bei Chen , Ning Chen , Jun Zhu , Jiaming Song , Bo Zhang

Financial markets are notoriously complex environments, presenting vast amounts of noisy, yet potentially informative data. We consider the problem of forecasting financial time series from a wide range of information sources using online…

Statistical Finance · Quantitative Finance 2018-07-12 Sid Ghoshal , Stephen Roberts

Recovering latent structure from count data has received considerable attention in network inference, particularly when one seeks both cross-group interactions and within-group similarity patterns in bipartite networks, which is widely used…

Machine Learning · Statistics 2026-04-27 Aoran Zhang , Tianyao Wei , Maria J. Guerrero , César A. Uribe

In increasingly many settings, data sets consist of multiple samples from a population of networks, with vertices aligned across these networks. For example, brain connectivity networks in neuroscience consist of measures of interaction…

Statistics Theory · Mathematics 2021-05-11 Keith Levin , Asad Lodhia , Elizaveta Levina

This paper studies the problem of recovering a hidden vertex correspondence between two correlated graphs when both edge weights and node features are observed. While most existing work on graph alignment relies primarily on edge…

Statistics Theory · Mathematics 2026-04-07 Dong Huang , Chenyang Tian , Pengkun Yang

Reduced-rank (RR) regression may be interpreted as a dimensionality reduction technique able to reveal complex relationships among the data parsimoniously. However, RR regression models typically overlook any potential group structure among…

Methodology · Statistics 2024-06-26 Maria F. Pintado , Matteo Iacopini , Luca Rossini , Alexander Y. Shestopaloff

The statistical modeling of random networks has been widely used to uncover interaction mechanisms in complex systems and to predict unobserved links in real-world networks. In many applications, network connections are collected via…

Social and Information Networks · Computer Science 2023-03-21 Angus Chan , Tianxi Li

Wireless Sensor Networks (WSNs) are a cutting-edge domain in the field of intelligent sensing. Due to sensor failures and energy-saving strategies, the collected data often have massive missing data, hindering subsequent analysis and…

Machine Learning · Computer Science 2025-04-23 Chengjun Yu , Yixin Ran , Yangyi Xia , Jia Wu , Xiaojing Liu

We propose Network Automatic Relevance Determination (NARD), an extension of ARD for linearly probabilistic models, to simultaneously model sparse relationships between inputs $X \in \mathbb R^{d \times N}$ and outputs $Y \in \mathbb R^{m…

Artificial Intelligence · Computer Science 2025-08-20 Hongwei Zhang , Ziqi Ye , Xinyuan Wang , Xin Guo , Zenglin Xu , Yuan Cheng , Zixin Hu , Yuan Qi

Laplacian regularized stratified models (LRSM) are models that utilize the explicit or implicit network structure of the sub-problems as defined by the categorical features called strata (e.g., age, region, time, forecast horizon, etc.),…

Machine Learning · Statistics 2023-05-05 Ziheng Cheng , Junzi Zhang , Akshay Agrawal , Stephen Boyd

Fourier phase retrieval (FPR) is a challenging task widely used in various applications. It involves recovering an unknown signal from its Fourier phaseless measurements. FPR with few measurements is important for reducing time and hardware…

Image and Video Processing · Electrical Eng. & Systems 2023-07-19 Liyuan Ma , Hongxia Wang , Ningyi Leng , Ziyang Yuan

There is a growing literature on the statistical analysis of multiple networks in which the network is the fundamental data object. However, most of this work requires networks on a shared set of labeled vertices. In this work, we consider…

Methodology · Statistics 2022-03-21 Nathaniel Josephs , Wenrui Li , Eric D. Kolaczyk

Causal learning from data has received much attention recently. Bayesian networks can be used to capture causal relationships. There, one recovers a weighted directed acyclic graph in which random variables are represented by vertices, and…

Machine Learning · Computer Science 2026-01-06 Pavel Rytir , Ales Wodecki , Georgios Korpas , Jakub Marecek
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