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Network-linked data, where multivariate observations are interconnected by a network, are becoming increasingly prevalent in fields such as sociology and biology. These data often exhibit inherent noise and complex relational structures,…

Methodology · Statistics 2025-09-11 Jianxiang Wang , Can M. Le , Tianxi Li

Latent space models are powerful statistical tools for modeling and understanding network data. While the importance of accounting for uncertainty in network analysis has been well recognized, the current literature predominantly focuses on…

Statistics Theory · Mathematics 2025-08-15 Jinming Li , Shihao Wu , Chengyu Cui , Gongjun Xu , Ji Zhu

There is a growing need for flexible general frameworks that integrate individual-level data with external summary information for improved statistical inference. External information relevant for a risk prediction model may come in…

Methodology · Statistics 2023-04-11 Tian Gu , Jeremy M. G. Taylor , Bhramar Mukherjee

Reciprocity, or the tendency of individuals to mirror behavior, is a key measure that describes information exchange in a social network. Users in social networks tend to engage in different levels of reciprocal behavior. Differences in…

Machine Learning · Statistics 2023-08-22 Daniel Cirkovic , Tiandong Wang

Regression uses supervised machine learning to find a model that combines several independent variables to predict a dependent variable based on ground truth (labeled) data, i.e., tuples of independent and dependent variables (labels).…

Machine Learning · Computer Science 2021-10-29 Maria Ulan , Welf Löwe , Morgan Ericsson , Anna Wingkvist

We consider regression in which one predicts a response $Y$ with a set of predictors $X$ across different experiments or environments. This is a common setup in many data-driven scientific fields and we argue that statistical inference can…

Methodology · Statistics 2026-03-23 Niklas Pfister , Evan G. Williams , Jonas Peters , Ruedi Aebersold , Peter Bühlmann

We consider statistical inference for network-linked regression problems, where covariates may include network summary statistics computed for each node. In settings involving network data, it is often natural to posit that latent variables…

Methodology · Statistics 2025-10-02 Wei Li , Nilanjan Chakraborty , Robert Lunde

Different network models have been suggested for the topology underlying complex interactions in natural systems. These models are aimed at replicating specific statistical features encountered in real-world networks. However, it is rarely…

Physics and Society · Physics 2012-06-11 Stefano Cardanobile , Volker Pernice , Moritz Deger , Stefan Rotter

The probabilistic graphs framework models the uncertainty inherent in real-world domains by means of probabilistic edges whose value quantifies the likelihood of the edge existence or the strength of the link it represents. The goal of this…

Artificial Intelligence · Computer Science 2012-05-25 Claudio Taranto , Nicola Di Mauro , Floriana Esposito

We consider the problem of online active learning to collect data for regression modeling. Specifically, we consider a decision maker with a limited experimentation budget who must efficiently learn an underlying linear population model.…

Machine Learning · Statistics 2016-12-22 Carlos Riquelme , Ramesh Johari , Baosen Zhang

A fully nonparametric approach for making probabilistic predictions in multi-response regression problems is introduced. Random forests are used as marginal models for each response variable and, as novel contribution of the present work,…

Machine Learning · Computer Science 2022-10-12 Marius Hofert , Avinash Prasad , Mu Zhu

In causal inference, interference occurs when the treatment of one unit may affect the outcomes of other units. The goal of this work is to serve as a guide to the use of linear outcome modeling for estimating causal effects in settings…

Methodology · Statistics 2026-04-01 Eric Tong , Salvador V. Balkus

Network analysis is often focused on characterizing the dependencies between network relations and node-level attributes. Potential relationships are typically explored by modeling the network as a function of the nodal attributes or by…

Methodology · Statistics 2013-06-21 Bailey K. Fosdick , Peter D. Hoff

Regression is typically treated as a curve-fitting process where the goal is to fit a prediction function to data. With the help of conditional generative adversarial networks, we propose to solve this age-old problem in a different way; we…

Machine Learning · Computer Science 2024-04-23 Deddy Jobson , Eddy Hudson

Regression analysis is a standard supervised machine learning method used to model an outcome variable in terms of a set of predictor variables. In most real-world applications we do not know the true value of the outcome variable being…

Machine Learning · Statistics 2019-10-10 Henri Tiittanen , Emilia Oikarinen , Andreas Henelius , Kai Puolamäki

Combining additive models and neural networks allows to broaden the scope of statistical regression and extend deep learning-based approaches by interpretable structured additive predictors at the same time. Existing attempts uniting the…

Machine Learning · Statistics 2022-07-12 David Rügamer , Chris Kolb , Nadja Klein

General regression and classification models are constructed as linear combinations of simple rules derived from the data. Each rule consists of a conjunction of a small number of simple statements concerning the values of individual input…

Applications · Statistics 2008-11-12 Jerome H. Friedman , Bogdan E. Popescu

We apply network Lasso to semi-supervised regression problems involving network structured data. This approach lends quite naturally to highly scalable learning algorithms in the form of message passing over an empirical graph which…

Machine Learning · Statistics 2018-12-31 A. Jung , N. Vesselinova

Modelling persuasion strategies as predictors of task outcome has several real-world applications and has received considerable attention from the computational linguistics community. However, previous research has failed to account for the…

Computation and Language · Computer Science 2021-01-27 Ritam Dutt , Sayan Sinha , Rishabh Joshi , Surya Shekhar Chakraborty , Meredith Riggs , Xinru Yan , Haogang Bao , Carolyn Penstein Rosé

In the Humanities and Social Sciences, there is increasing interest in approaches to information extraction, prediction, intelligent linkage, and dimension reduction applicable to large text corpora. With approaches in these fields being…

Applications · Statistics 2019-04-16 Vanessa Glenny , Jonathan Tuke , Nigel Bean , Lewis Mitchell