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We propose an Embedding Network Autoregressive Model for multivariate networked longitudinal data. We assume the network is generated from a latent variable model, and these unobserved variables are included in a structural peer effect…

Methodology · Statistics 2025-03-25 Jae Ho Chang , Subhadeep Paul

Matrix completion tackles the task of predicting missing values in a low-rank matrix based on a sparse set of observed entries. It is often assumed that the observation pattern is generated uniformly at random or has a very specific…

Machine Learning · Statistics 2025-03-18 Yudong Chen , Xumei Xi , Christina Lee Yu

We consider identification, inference and validation of linear panel data models when both factors and factor loadings are accounted for by a nonparametric function. This general specification encompasses rather popular models such as the…

Econometrics · Economics 2025-06-13 Juan M. Rodriguez-Poo , Alexandra Soberon , Stefan Sperlich

In this paper, we propose a novel framework, the Sampling-guided Heterogeneous Graph Neural Network (SHT-GNN), to effectively tackle the challenge of missing data imputation in longitudinal studies. Unlike traditional methods, which often…

Machine Learning · Computer Science 2024-11-08 Zhaoyang Zhang , Ziqi Chen , Qiao Liu , Jinhan Xie , Hongtu Zhu

We study the estimation of peer effects through social networks when researchers do not observe the entire network structure. Special cases include sampled networks, censored networks, and misclassified links. We assume that researchers can…

Econometrics · Economics 2025-09-11 Vincent Boucher , Aristide Houndetoungan

In many real-world scenarios, it is nearly impossible to collect explicit social network data. In such cases, whole networks must be inferred from underlying observations. Here, we formulate the problem of inferring latent social networks…

Social and Information Networks · Computer Science 2010-10-28 Seth A. Myers , Jure Leskovec

Surveys usually suffer from non-response, which decreases the effective sample size. Item non-response is typically handled by means of some form of random imputation if we wish to preserve the distribution of the imputed variable. This…

Methodology · Statistics 2017-08-04 Guillaume Chauvet , Wilfried Do Paco

In this paper, we introduce a general model for jointly modelling the nodal heterogeneity and covariates in weighted or unweighted bipartite networks, which contains two different types of nodes. The model has a degree heterogeneity…

Statistics Theory · Mathematics 2026-04-01 Wu Zuhui , Wang Qiuping , Yan Ting

We propose a general Bayesian nonparametric (BNP) approach to causal inference in the point treatment setting. The joint distribution of the observed data (outcome, treatment, and confounders) is modeled using an enriched Dirichlet process.…

Methodology · Statistics 2017-03-01 Jason Roy , Kirsten J Lum , Michael J. Daniels , Bret Zeldow , Jordan Dworkin , Vincent Lo Re

A number of algorithms have been developed to solve probabilistic inference problems on belief networks. These algorithms can be divided into two main groups: exact techniques which exploit the conditional independence revealed when the…

Artificial Intelligence · Computer Science 2013-04-08 Ross D. Shachter , Mark Alan Peot

Networked data, in which every training example involves two objects and may share some common objects with others, is used in many machine learning tasks such as learning to rank and link prediction. A challenge of learning from networked…

Machine Learning · Computer Science 2017-11-23 Yuanhong Wang , Yuyi Wang , Xingwu Liu , Juhua Pu

A major challenge for causal inference from time-series data is the trade-off between computational feasibility and accuracy. Motivated by process motifs for lagged covariance in an autoregressive model with slow mean-reversion, we propose…

Machine Learning · Statistics 2025-09-30 Alice C. Schwarze , Sara M. Ichinaga , Bingni W. Brunton

Maximum entropy estimation is of broad interest for inferring properties of systems across many different disciplines. In this work, we significantly extend a technique we previously introduced for estimating the maximum entropy of a set of…

Data Analysis, Statistics and Probability · Physics 2016-01-05 Elliot A. Martin , Jaroslav Hlinka , Alexander Meinke , Filip Děchtěrenko , Jörn Davidsen

Parameter estimation in empirical fields is usually undertaken using parametric models, and such models readily facilitate statistical inference. Unfortunately, they are unlikely to be sufficiently flexible to be able to adequately model…

Machine Learning · Computer Science 2022-06-13 Matthew J. Vowels , Sina Akbari , Necati Cihan Camgoz , Richard Bowden

Fully nonparametric methods for regression from functional data have poor accuracy from a statistical viewpoint, reflecting the fact that their convergence rates are slower than nonparametric rates for the estimation of high-dimensional…

Statistics Theory · Mathematics 2012-11-22 Dong Chen , Peter Hall , Hans-Georg Müller

A wide range of systems exhibit high dimensional incomplete data. Accurate estimation of the missing data is often desired, and is crucial for many downstream analyses. Many state-of-the-art recovery methods involve supervised learning…

Computer Vision and Pattern Recognition · Computer Science 2019-03-15 Adrian V. Dalca , John Guttag , Mert R. Sabuncu

We consider a distributed estimation method in a setting with heterogeneous streams of correlated data distributed across nodes in a network. In the considered approach, linear models are estimated locally (i.e., with only local data)…

Machine Learning · Computer Science 2021-02-11 Lingzhou Hong , Alfredo Garcia , Ceyhun Eksin

In the context of multivariate nonparametric regression with missing covariates, we propose Pattern Embedded Neural Networks (PENNs), which can be applied in conjunction with any existing imputation technique. In addition to a neural…

Methodology · Statistics 2025-04-30 Tianyi Ma , Tengyao Wang , Richard J. Samworth

We consider the problem of identifying the topology of a weighted, undirected network $\mathcal G$ from observing snapshots of multiple independent consensus dynamics. Specifically, we observe the opinion profiles of a group of agents for a…

Social and Information Networks · Computer Science 2019-02-12 Santiago Segarra , Michael T. Schaub , Ali Jadbabaie

We introduce a probability distribution, combined with an efficient sampling algorithm, for weights and biases of fully-connected neural networks. In a supervised learning context, no iterative optimization or gradient computations of…

Machine Learning · Computer Science 2023-11-14 Erik Lien Bolager , Iryna Burak , Chinmay Datar , Qing Sun , Felix Dietrich