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It is in general challenging to provide confidence intervals for individual variables in high-dimensional regression without making strict or unverifiable assumptions on the design matrix. We show here that a "group-bound" confidence…

Methodology · Statistics 2014-06-12 Nicolai Meinshausen

Geometrical stability theory is a powerful set of model-theoretic tools that can lead to structural results on models of a simple first-order theory. Typical results offer a characterization of the groups definable in a model of the theory.…

Logic · Mathematics 2007-05-23 Steven Buechler , Olivier Lessmann

We provide new results for nonparametric identification, estimation, and inference of causal effects using `proxy controls': observables that are noisy but informative proxies for unobserved confounding factors. Our analysis applies to…

Econometrics · Economics 2023-11-22 Ben Deaner

Model-based clustering integrated with variable selection is a powerful tool for uncovering latent structures within complex data. However, its effectiveness is often hindered by challenges such as identifying relevant variables that define…

Inference in linear panel data models is complicated by the presence of fixed effects when (some of) the regressors are not strictly exogenous. Under asymptotics where the number of cross-sectional observations and time periods grow at the…

Econometrics · Economics 2025-02-13 Ayden Higgins , Koen Jochmans

Orthogonality in model theory captures the idea of absence of non-trivial interactions between definable sets. We introduce a somewhat opposite notion of cohesiveness, capturing the idea of interaction among all parts of a given definable…

Logic · Mathematics 2024-11-20 Alessandro Berarducci , Pantelis E. Eleftheriou , Marcello Mamino

Ingroup favoritism, the tendency to favor ingroup over outgroup, is often explained as a product of intergroup conflict, or correlations between group tags and behavior. Such accounts assume that group membership is meaningful, whereas…

Theoretical Economics · Economics 2019-08-23 Marcel Montrey , Thomas R. Shultz

Inference of community structure in probabilistic graphical models may not be consistent with fairness constraints when nodes have demographic attributes. Certain demographics may be over-represented in some detected communities and…

Machine Learning · Statistics 2026-02-23 Davoud Ataee Tarzanagh , Laura Balzano , Alfred O. Hero

The cohesiveness of a group is an essential indicator of the emotional state, structure and success of a group of people. We study the factors that influence the perception of group-level cohesion and propose methods for estimating the…

Computer Vision and Pattern Recognition · Computer Science 2019-04-09 Shreya Ghosh , Abhinav Dhall , Nicu Sebe , Tom Gedeon

High model performance, on average, can hide that models may systematically underperform on subgroups of the data. We consider the tabular setting, which surfaces the unique issue of outcome heterogeneity - this is prevalent in areas such…

Machine Learning · Computer Science 2022-10-25 Nabeel Seedat , Jonathan Crabbé , Ioana Bica , Mihaela van der Schaar

Recently, there has been great interest in estimating the conditional average treatment effect using flexible machine learning methods. However, in practice, investigators often have working hypotheses about effect heterogeneity across…

Methodology · Statistics 2023-09-13 Chan Park , Hyunseung Kang

Learning invariant representations is an important requirement when training machine learning models that are driven by spurious correlations in the datasets. These spurious correlations, between input samples and the target labels, wrongly…

Machine Learning · Computer Science 2022-01-12 Vishnu Suresh Lokhande , Kihyuk Sohn , Jinsung Yoon , Madeleine Udell , Chen-Yu Lee , Tomas Pfister

We study a panel data model with general heterogeneous effects where slopes are allowed to vary across both individuals and over time. The key dimension reduction assumption we employ is that the heterogeneous slopes can be expressed as…

Statistics Theory · Mathematics 2019-09-05 Victor Chernozhukov , Christian Hansen , Yuan Liao , Yinchu Zhu

Group or cluster structure on explanatory variables in machine learning problems is a very general phenomenon, which has attracted broad interest from practitioners and theoreticians alike. In this work we contribute an approach to sparse…

Machine Learning · Statistics 2025-07-22 Subhroshekhar Ghosh , Soumendu Sundar Mukherjee

Mendelian randomization is a powerful tool for causal inference in observational studies. The two-sample summary-data design, which estimates genetic associations with exposures and outcomes in separate cohorts, is the most widely used…

Methodology · Statistics 2026-04-29 Dingke Tang , Xuming He , Shu Yang

Many studies in data mining have proposed a new learning called semi-Supervised. Such type of learning combines unlabeled and labeled data which are hard to obtain. However, in unsupervised methods, the only unlabeled data are used. The…

Machine Learning · Computer Science 2013-04-16 Badreddine Meftahi , Ourida Ben Boubaker Saidi

A new statistical procedure, based on a modified spline basis, is proposed to identify the linear components in the panel data model with fixed effects. Under some mild assumptions, the proposed procedure is shown to consistently estimate…

Econometrics · Economics 2019-11-21 Ruiqi Liu , Ben Boukai , Zuofeng Shang

This paper considers the maximum likelihood estimation of panel data models with interactive effects. Motivated by applications in economics and other social sciences, a notable feature of the model is that the explanatory variables are…

Statistics Theory · Mathematics 2014-02-27 Jushan Bai , Kunpeng Li

Background: Pairwise and network meta-analyses using fixed effect and random effects models are commonly applied to synthesise evidence from randomised controlled trials. The models differ in their assumptions and the interpretation of the…

Methodology · Statistics 2017-08-04 Shijie Ren , Jeremy E. Oakley , John W. Stevens

Economic choices are often stochastic: the same person may make a different choice when facing the same alternatives repeatedly. Standard models assume that the degree of randomness reflects the size of utility differences, but choice…

Theoretical Economics · Economics 2026-05-05 Shuhua Si