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In this paper we study covariance estimation with missing data. We consider missing data mechanisms that can be independent of the data, or have a time varying dependency. Additionally, observed variables may have arbitrary (non uniform)…

Statistics Theory · Mathematics 2021-06-17 Eduardo Pavez , Antonio Ortega

Sampled network data are widely used in empirical research because collecting complete network information is costly. However, empirical analyses based on sampled networks may lead to biased estimators. We propose a nonparametric imputation…

Econometrics · Economics 2026-05-12 Ge Sun , Weisheng Zhang

Production networks, dynamic systems of firms linked through input-output relationships, transmit microeconomic shocks into macroeconomic fluctuations. While prior studies often assume static networks, real-world economies feature…

Theoretical Economics · Economics 2025-05-16 Mahdi Kohan Sefidi

Networks are frequently used to model complex systems comprised of interacting elements. While edges capture the topology of direct interactions, the true complexity of many systems originates from higher-order patterns in paths by which…

Social and Information Networks · Computer Science 2022-10-04 Christoph Gote , Vincenzo Perri , Ingo Scholtes

The identifiability analysis of a networked Markov chain model known as the influence model, as described in a recent contribution to Arxiv, is examined. Two errors in the identifiability analysis -- one related to the unidentifiability of…

Systems and Control · Computer Science 2018-11-07 Sandip Roy

Many economic environments involve units linked by a network. I develop an econometric framework that derives the dynamics of cross-sectional variables from the lagged innovation transmission along bilateral links and that can accommodate…

Econometrics · Economics 2026-01-23 Marko Mlikota

Influential node detection is a central research topic in social network analysis. Many existing methods rely on the assumption that the network structure is completely known \textit{a priori}. However, in many applications, network…

Social and Information Networks · Computer Science 2016-12-01 Qunwei Li , Bhavya Kailkhura , Jayaraman J. Thiagarajan , Zhenliang Zhang , Pramod K. Varshney

The missing data issue is ubiquitous in health studies. Variable selection in the presence of both missing covariates and outcomes is an important statistical research topic but has been less studied. Existing literature focuses on…

Methodology · Statistics 2021-07-09 Liangyuan Hu , Jung-Yi Joyce Lin , Jiayi Ji

Understanding the influence of a training instance on a neural network model leads to improving interpretability. However, it is difficult and inefficient to evaluate the influence, which shows how a model's prediction would be changed if a…

Machine Learning · Computer Science 2021-11-22 Sosuke Kobayashi , Sho Yokoi , Jun Suzuki , Kentaro Inui

A faithful description of the state of a complex dynamical network would require, in principle, the measurement of all its $d$ variables, an infeasible task for systems with practical limited access and composed of many nodes with high…

Chaotic Dynamics · Physics 2019-05-06 Christophe Letellier , Irene Sendiña-Nadal , Luis A. Aguirre

Understanding and quantifying node importance is a fundamental problem in network science and engineering, underpinning a wide range of applications such as influence maximization, social recommendation, and network dismantling. Prior…

Social and Information Networks · Computer Science 2026-02-17 Jiahui Gao , Kuang Zhou , Yuchen Zhu , Keyu Wu

Given a network and a set of vertices called seeds to initially inject information, influence spread is the expected number of vertices that eventually receive the information under a certain stochastic model of information propagation.…

Data Structures and Algorithms · Computer Science 2026-04-16 Kengo Nakamura , Masaaki Nishino

In some multivariate problems with missing data, pairs of variables exist that are never observed together. For example, some modern biological tools can produce data of this form. As a result of this structure, the covariance matrix is…

Methodology · Statistics 2013-08-13 Max Grazier G'Sell , Shai S. Shen-Orr , Robert Tibshirani

We illustrate a class of conditional models for the analysis of longitudinal data suffering attrition in random effects models framework, where the subject-specific random effects are assumed to be discrete and to follow a time-dependent…

Methodology · Statistics 2014-04-28 Antonello Maruotti

Dropout represents a typical issue to be addressed when dealing with longitudinal studies. If the mechanism leading to missing information is non-ignorable, inference based on the observed data only may be severely biased. A frequent…

Methodology · Statistics 2018-03-23 Maria Francesca Marino , Marco Alfo'

Inverse probability weighting (IPW) methods are commonly used to analyze non-ignorable missing data under the assumption of a logistic model for the missingness probability. However, solving IPW equations numerically may involve…

Methodology · Statistics 2025-07-24 Pengfei Li , Jing Qin , Yukun Liu

This paper develops new methods for causal inference in observational studies on a single large network of interconnected units, addressing two key challenges: long-range dependence among units and the presence of general interference. We…

Methodology · Statistics 2025-11-24 Jizhou Liu , Dake Zhang , Eric J. Tchetgen Tchetgen

When a missing process depends on the missing values themselves, it needs to be explicitly modelled and taken into account while doing likelihood-based inference. We present an approach for building and fitting deep latent variable models…

Machine Learning · Statistics 2021-03-19 Niels Bruun Ipsen , Pierre-Alexandre Mattei , Jes Frellsen

Missing exposure information is a very common feature of many observational studies. Here we study identifiability and efficient estimation of causal effects on vector outcomes, in such cases where treatment is unconfounded but partially…

Methodology · Statistics 2020-02-04 Edward H. Kennedy

Mastering the dynamics of social influence requires separating, in a database of information propagation traces, the genuine causal processes from temporal correlation, i.e., homophily and other spurious causes. However, most studies to…

Social and Information Networks · Computer Science 2018-08-31 Francesco Bonchi , Francesco Gullo , Bud Mishra , Daniele Ramazzotti