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Related papers: Assumption-lean Inference for Network-linked Data

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Heteroscedastic regression models a Gaussian variable's mean and variance as a function of covariates. Parametric methods that employ neural networks for these parameter maps can capture complex relationships in the data. Yet, optimizing…

Machine Learning · Computer Science 2022-12-20 Andrew Stirn , Hans-Hermann Wessels , Megan Schertzer , Laura Pereira , Neville E. Sanjana , David A. Knowles

We consider the inverse Ising problem, i.e. the inference of network couplings from observed spin trajectories for a model with continuous time Glauber dynamics. By introducing two sets of auxiliary latent random variables we render the…

Machine Learning · Statistics 2017-12-22 Christian Donner , Manfred Opper

Inferring a graphical model or network from observational data from a large number of variables is a well studied problem in machine learning and computational statistics. In this paper we consider a version of this problem that is relevant…

Methodology · Statistics 2013-12-06 Andy Dahl , Victoria Hore , Valentina Iotchkova , Jonathan Marchini

Joint spectral embeddings facilitate analysis of multiple network data by simultaneously mapping vertices in each network to points in Euclidean space where statistical inference is then performed. In this work, we consider one such joint…

Statistics Theory · Mathematics 2022-01-04 Benjamin Draves , Daniel L. Sussman

In many application domains, networks are observed with node-level features. In such settings, a common problem is to assess whether or not nodal covariates are correlated with the network structure itself. Here, we present four novel…

Machine Learning · Statistics 2025-09-05 Alexander Fuchs-Kreiss , Keith Levin

In this paper we study the asymptotics of linear regression in settings with non-Gaussian covariates where the covariates exhibit a linear dependency structure, departing from the standard assumption of independence. We model the covariates…

Machine Learning · Statistics 2024-12-10 Behrad Moniri , Hamed Hassani

We propose a general framework for modelling network data that is designed to describe aspects of non-exchangeable networks. Conditional on latent (unobserved) variables, the edges of the network are generated by their finite growth history…

Statistics Theory · Mathematics 2020-07-29 Weichi Wu , Sofia Olhede , Patrick Wolfe

We study linear regressions in a context where the outcome of interest and some of the covariates are observed in two different datasets that cannot be matched. Traditional approaches obtain point identification by relying, often…

Econometrics · Economics 2025-11-18 Xavier D'Haultfoeuille , Christophe Gaillac , Arnaud Maurel

The edges in networks are not only binary, either present or absent, but also take weighted values in many scenarios (e.g., the number of emails between two users). The covariate-$p_0$ model has been proposed to model binary directed…

Statistics Theory · Mathematics 2021-07-24 MengXu , Qiuping Wang

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

Estimating causal effects from nonexperimental data is a fundamental problem in many fields of science. A key component of this task is selecting an appropriate set of covariates for confounding adjustment to avoid bias. Most existing…

Machine Learning · Computer Science 2025-10-28 Zheng Li , Xichen Guo , Feng Xie , Yan Zeng , Hao Zhang , Zhi Geng

Transfer learning research attempts to make model induction transferable across different domains. This method assumes that specific information regarding to which domain each instance belongs is known. This paper helps to extend the…

Machine Learning · Computer Science 2025-06-04 Xinshun Liu , He Xin , Mao Hui , Liu Jing , Lai Weizhong , Ye Qingwen

In estimating spillover effects under network interference, practitioners often use linear regression with either the number or fraction of treated neighbors as regressors. An often overlooked fact is that the latter is undefined for units…

Econometrics · Economics 2024-12-10 Bora Kim

We devise a machine learning technique to solve the general problem of inferring network links that have time-delays. The goal is to do this purely from time-series data of the network nodal states. This task has applications in fields…

Adaptation and Self-Organizing Systems · Physics 2021-07-28 Amitava Banerjee , Joseph D. Hart , Rajarshi Roy , Edward Ott

Traditional statistical methods are faced with new challenges due to streaming data. The major challenge is the rapidly growing volume and velocity of data, which makes storing such huge datasets in memory impossible. The paper presents an…

Methodology · Statistics 2022-10-04 Dongxiao Han , Jinhan Xie , Jin Liu , Liuquan Sun , Jian Huang , Bei Jian , Linglong Kong

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

We develop a uniform inference theory for high-dimensional slope parameters in threshold regression models, allowing for either cross-sectional or time series data. We first establish oracle inequalities for prediction errors, and L1…

Econometrics · Economics 2025-09-16 Jiatong Li , Hongqiang Yan

Relational arrays represent measures of association between pairs of actors, often in varied contexts or over time. Trade flows between countries, financial transactions between individuals, contact frequencies between school children in…

Methodology · Statistics 2022-06-23 Frank W. Marrs , Bailey K. Fosdick , Tyler H. McCormick

Linear regression is a frequently used tool in statistics, however, its validity and interpretability relies on strong model assumptions. While robust estimates of the coefficients' covariance extend the validity of hypothesis tests and…

Methodology · Statistics 2015-04-23 Werner Brannath , Martin Scharpenberg

Social influence cannot be identified from purely observational data on social networks, because such influence is generically confounded with latent homophily, i.e., with a node's network partners being informative about the node's…

Methodology · Statistics 2025-01-07 Edward McFowland , Cosma Rohilla Shalizi