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This paper explores the homogeneity of coefficients in high-dimensional regression, which extends the sparsity concept and is more general and suitable for many applications. Homogeneity arises when one expects regression coefficients…

Methodology · Statistics 2013-04-01 Tracy Ke , Jianqing Fan , Yichao Wu

We introduce a dynamic distribution regression panel data model with heterogeneous coefficients across units. The objects of primary interest are functionals of these coefficients, including predicted one-step-ahead and stationary…

Econometrics · Economics 2025-07-31 Ivan Fernandez-Val , Wayne Yuan Gao , Yuan Liao , Francis Vella

A massive dataset often consists of a growing number of (potentially) heterogeneous sub-populations. This paper is concerned about testing various forms of heterogeneity arising from massive data. In a general nonparametric framework, a set…

Statistics Theory · Mathematics 2016-01-26 Junwei Lu , Guang Cheng , Han Liu

We investigate the significance of change-points within fully nonparametric regression contexts, with a particular focus on panel data where data generation processes vary across units, and error terms may display complex dependency…

Econometrics · Economics 2025-01-07 Likai Chen , Georg Keilbar , Liangjun Su , Weining Wang

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

In this paper we develop a data-driven smoothing technique for high-dimensional and non-linear panel data models. We allow for individual specific (non-linear) functions and estimation with econometric or machine learning methods by using…

Methodology · Statistics 2020-01-06 Xi Chen , Ye Luo , Martin Spindler

Researchers are increasingly turning to machine learning (ML) algorithms to investigate causal heterogeneity in randomized experiments. Despite their promise, ML algorithms may fail to accurately ascertain heterogeneous treatment effects…

Methodology · Statistics 2024-04-23 Kosuke Imai , Michael Lingzhi Li

This paper examines the identification and estimation of heterogeneous treatment effects in event studies, emphasizing the importance of both lagged dependent variables and treatment effect heterogeneity. We show that omitting lagged…

Econometrics · Economics 2025-09-18 Irene Botosaru , Laura Liu

Readmission prediction is a critical but challenging clinical task, as the inherent relationship between high-dimensional covariates and readmission is complex and heterogeneous. Despite this complexity, models should be interpretable to…

Methodology · Statistics 2025-07-10 Wei Wang , Angela Bailey , Christopher Tignanelli , Jared D. Huling

Motivated by the Beck-Fiala conjecture, we study the discrepancy problem in two related models of random hypergraphs on $n$ vertices and $m$ edges. In the first (edge-independent) model, a random hypergraph $H_1$ is constructed by fixing a…

Combinatorics · Mathematics 2024-01-12 Calum MacRury , Tomáš Masařík , Leilani Pai , Xavier Pérez-Giménez

This paper proposes a novel testing procedure for selecting a sparse set of covariates that explains a large dimensional panel. Our selection method provides correct false detection control while having higher power than existing…

Econometrics · Economics 2023-03-09 Markus Pelger , Jiacheng Zou

Non-significant randomized control trials can hide subgroups of good responders to experimental drugs, thus hindering subsequent development. Identifying such heterogeneous treatment effects is key for precision medicine and many post-hoc…

Methodology · Statistics 2024-01-24 Valentine Perrin , Nathan Noiry , Nicolas Loiseau , Alex Nowak

Sensor and control data of modern mechatronic systems are often available as heterogeneous time series with different sampling rates and value ranges. Suitable classification and regression methods from the field of supervised machine…

Machine Learning · Computer Science 2021-04-09 Karl-Philipp Kortmann , Moritz Fehsenfeld , Mark Wielitzka

Principal component analysis (PCA) is a classical and ubiquitous method for reducing data dimensionality, but it is suboptimal for heterogeneous data that are increasingly common in modern applications. PCA treats all samples uniformly so…

Statistics Theory · Mathematics 2021-12-02 David Hong , Kyle Gilman , Laura Balzano , Jeffrey A. Fessler

We present the \textit{hierarchical Dirichlet scaling process} (HDSP), a Bayesian nonparametric mixed membership model. The HDSP generalizes the hierarchical Dirichlet process (HDP) to model the correlation structure between metadata in the…

Machine Learning · Computer Science 2017-07-10 Dongwoo Kim , Alice Oh

In settings requiring synthetic data generation based on a clinical cohort, e.g., due to data protection regulations, heterogeneity across individuals might be a nuisance that we need to control or faithfully preserve. The sources of such…

Machine Learning · Computer Science 2023-12-14 Kiana Farhadyar , Federico Bonofiglio , Maren Hackenberg , Daniela Zoeller , Harald Binder

We consider the problem of density estimation in the context of multiscale Langevin diffusion processes, where a single-scale homogenized surrogate model can be derived. In particular, our aim is to learn the density of the invariant…

Numerical Analysis · Mathematics 2025-10-30 Jaroslav I. Borodavka , Max Hirsch , Sebastian Krumscheid , Andrea Zanoni

Recent work has developed Bayesian methods for the automatic statistical analysis and description of single time series as well as of homogeneous sets of time series data. We extend prior work to create an interpretable kernel embedding for…

Machine Learning · Computer Science 2019-08-27 Andre T. Nguyen , Edward Raff

Hierarchical Bayesian models are increasingly used in large, inhomogeneous complex network dynamical systems by modeling parameters as draws from a hyperparameter-governed distribution. However, theoretical guarantees for these estimates as…

Statistics Theory · Mathematics 2026-01-23 Yi Yu , Yubo Hou , Yinchong Wang , Nan Zhang , Jianfeng Feng , Wenlian Lu

This article introduces tools to analyze set-valued data statistically. The tools were initially developed to analyze results from an interlaboratory comparison made by the Electromagnetic Compatibility Working Group of Eurolab France,…

Methodology · Statistics 2026-01-27 Sébastien Petit , Sébastien Marmin , Nicolas Fischer
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