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Many high-dimensional data sets suffer from hidden confounding which affects both the predictors and the response of interest. In such situations, standard regression methods or algorithms lead to biased estimates. This paper substantially…

Methodology · Statistics 2024-12-17 Cyrill Scheidegger , Zijian Guo , Peter Bühlmann

Density Estimation is one of the central areas of statistics whose purpose is to estimate the probability density function underlying the observed data. It serves as a building block for many tasks in statistical inference, visualization,…

Machine Learning · Statistics 2019-04-02 Zhipeng Wang , David W. Scott

This paper presents a new algorithm for automatic variables selection. In particular, using the Graphical Models properties it is possible to develop a method that can be used in the contest of large dataset. The advantage of this algorithm…

Machine Learning · Statistics 2022-01-17 Luigi Riso

Latent variable models are used to estimate variables of interest quantities which are observable only up to some measurement error. In many studies, such variables are known but not precisely quantifiable (such as "job satisfaction" in…

Machine Learning · Statistics 2012-10-19 Ricardo Silva

This article is about estimation and inference methods for high dimensional sparse (HDS) regression models in econometrics. High dimensional sparse models arise in situations where many regressors (or series terms) are available and the…

Methodology · Statistics 2017-10-05 Alexandre Belloni , Victor Chernozhukov , Christian Hansen

In this paper, we assess whether using non-linear dimension reduction techniques pays off for forecasting inflation in real-time. Several recent methods from the machine learning literature are adopted to map a large dimensional dataset…

Econometrics · Economics 2021-12-03 Niko Hauzenberger , Florian Huber , Karin Klieber

This paper explores the following question: what kind of statistical guarantees can be given when doing variable selection in high-dimensional models? In particular, we look at the error rates and power of some multi-stage regression…

Statistics Theory · Mathematics 2009-08-20 Larry Wasserman , Kathryn Roeder

We develop new econometric methods for estimation and inference in high-dimensional panel data models with interactive fixed effects. Our approach can be regarded as a non-trivial extension of the very popular common correlated effects…

Econometrics · Economics 2025-08-11 Maximilian Ruecker , Michael Vogt , Oliver Linton , Christopher Walsh

Taking uncertainty into account is crucial when making strategic decisions. To guard against the risk of adverse scenarios, traditional optimisation techniques incorporate uncertainty on the basis of prior knowledge on its distribution. In…

Optimization and Control · Mathematics 2022-12-06 Julien Vaes , Vassilis M. Charitopoulos

This paper proposes two distinct contributions to econometric analysis of large information sets and structural instabilities. First, it treats a regression model with time-varying coefficients, stochastic volatility and exogenous…

Methodology · Statistics 2020-04-27 Dimitris Korobilis

Analysis of high-dimensional data is currently a popular field of research, thanks to many applications e.g. in genetics (DNA data in genomewide association studies), spectrometry or web analysis. At the same time, the type of problems that…

Methodology · Statistics 2018-05-25 Jozef Jakubik

Water demand is a highly important variable for operational control and decision making. Hence, the development of accurate forecasts is a valuable field of research to further improve the efficiency of water utilities. Focusing on…

Applications · Statistics 2020-05-12 Jens Kley-Holsteg , Florian Ziel

Models with dimension more than the available sample size are now commonly used in various applications. A sensible inference is possible using a lower-dimensional structure. In regression problems with a large number of predictors, the…

Statistics Theory · Mathematics 2025-11-25 Sayantan Banerjee , Ismaël Castillo , Subhashis Ghosal

Distribution-free prediction sets play a pivotal role in uncertainty quantification for complex statistical models. Their validity hinges on reliable calibration data, which may not be readily available as real-world environments often…

Methodology · Statistics 2024-06-11 Elise Han , Chengpiao Huang , Kaizheng Wang

Technological innovations have revolutionized the process of scientific research and knowledge discovery. The availability of massive data and challenges from frontiers of research and development have reshaped statistical thinking, data…

Statistics Theory · Mathematics 2007-06-13 Jianqing Fan , Runze Li

Unsupervised learning aims at the discovery of hidden structure that drives the observations in the real world. It is essential for success in modern machine learning. Latent variable models are versatile in unsupervised learning and have…

Machine Learning · Computer Science 2016-06-13 Furong Huang

A general class of models is proposed that is able to estimate the whole predictive distribution of a dependent variable $Y$ given a vector of explanatory variables $\xb$. The models exploit that the strength of explanatory variables to…

Methodology · Statistics 2021-03-25 Gerhard Tutz

Accurate wind power forecasts depend on reliable wind speed forecasts. Numerical Weather Predictions (NWPs) utilize huge amounts of computing time, but still have rather low spatial and temporal resolution. However, stochastic wind speed…

Applications · Statistics 2015-09-10 Daniel Ambach , Carsten Croonenbroeck

Feature selection of high-dimensional labeled data with limited observations is critical for making powerful predictive modeling accessible, scalable, and interpretable for domain experts. Spectroscopy data, which records the interaction…

Machine Learning · Computer Science 2022-02-10 Frantishek Akulich , Hadis Anahideh , Manaf Sheyyab , Dhananjay Ambre

Modern regression applications can involve hundreds or thousands of variables which motivates the use of variable selection methods. Bayesian variable selection defines a posterior distribution on the possible subsets of the variables…

Methodology · Statistics 2024-10-16 J. E. Griffin