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In this paper, we propose a semiparametric approach, named nonparanormal skeptic, for efficiently and robustly estimating high dimensional undirected graphical models. To achieve modeling flexibility, we consider Gaussian Copula graphical…

Machine Learning · Statistics 2012-07-30 Han Liu , Fang Han , Ming Yuan , John Lafferty , Larry Wasserman

Regression analysis is used for prediction and to understand the effect of independent variables on dependent variables. Symbolic regression (SR) automates the search for non-linear regression models, delivering a set of hypotheses that…

Machine Learning · Computer Science 2025-04-09 Fabricio Olivetti de Franca , Gabriel Kronberger

Covariate balance is a conventional key diagnostic for methods used estimating causal effects from observational studies. Recently, there is an emerging interest in directly incorporating covariate balance in the estimation. We study a…

Methodology · Statistics 2017-02-14 Qingyuan Zhao , Daniel Percival

Probabilistic forecasts in the form of ensemble of scenarios are required for complex decision making processes. Ensemble forecasting systems provide such products but the spatio-temporal structures of the forecast uncertainty is lost when…

Applications · Statistics 2016-12-21 Zied Ben Bouallegue , Tobias Heppelmann , Susanne E. Theis , Pierre Pinson

Dependence modeling of multivariate count data has garnered significant attention in recent years. Multivariate elliptical copulas are typically preferred in statistical literature to analyze dependence between repeated measurements of…

Methodology · Statistics 2025-01-22 Subhajit Chattopadhyay

We introduce a two-step procedure, in the context of ultra-high dimensional additive models, which aims to reduce the size of covariates vector and distinguish linear and nonlinear effects among nonzero components. Our proposed screening…

Statistics Theory · Mathematics 2017-08-30 M. Kazemi , D. Shahsavani , M. Arashi

Conformal prediction delivers prediction intervals with distribution-free coverage, but its intervals can look overconfident in regions where the model is extrapolating, because standard conformal scores do not explicitly represent…

Machine Learning · Statistics 2026-03-10 Luben M. C. Cabezas , Sabina J. Sloman , Bruno M. Resende , Fanyi Wu , Michele Caprio , Rafael Izbicki

Undirected graphical models are used extensively in the biological and social sciences to encode a pattern of conditional independences between variables, where the absence of an edge between two nodes $a$ and $b$ indicates that the…

Statistics Theory · Mathematics 2017-09-05 Rina Foygel Barber , Mladen Kolar

Herein, we propose a Spearman rank correlation based screening procedure for ultrahigh-dimensional data with censored response case. The proposed method is model-free without specifying any regression forms of predictors or response…

Methodology · Statistics 2022-11-28 Hongni Wang , Jingxin Yan , Xiaodong Yan

We address high dimensional covariance estimation for elliptical distributed samples, which are also known as spherically invariant random vectors (SIRV) or compound-Gaussian processes. Specifically we consider shrinkage methods that are…

Methodology · Statistics 2015-05-20 Yilun Chen , Ami Wiesel , Alfred O. Hero

Doubly Robust (DR) estimation of treatment effect relies on an untestable assumption that is the absence of unobserved confounding. This assumption is par- ticularly problematic in the context of healthcare research, where variables like…

Methodology · Statistics 2026-05-07 Sahil Shikalgar , Md. Noor-E-Alam

The semiparametric estimation approach, which includes inverse-probability-weighted and doubly robust estimation using propensity scores, is a standard tool in causal inference, and it is rapidly being extended in various directions. On the…

Methodology · Statistics 2022-12-29 Takamichi Baba , Yoshiyuki Ninomiya

We design simple screening tests to automatically discard data samples in empirical risk minimization without losing optimization guarantees. We derive loss functions that produce dual objectives with a sparse solution. We also show how to…

Machine Learning · Computer Science 2020-06-15 Grégoire Mialon , Alexandre d'Aspremont , Julien Mairal

We study the problem of variable selection in convex nonparametric regression. Under the assumption that the true regression function is convex and sparse, we develop a screening procedure to select a subset of variables that contains the…

Statistics Theory · Mathematics 2014-11-19 Min Xu , Minhua Chen , John Lafferty

Electrocardiogram (ECG) signals are critical for diagnosing heart conditions and capturing detailed cardiac patterns. As wearable single-lead ECG devices become more common, efficient analysis methods are essential. We present NERULA…

Signal Processing · Electrical Eng. & Systems 2024-05-31 Gouthamaan Manimaran , Sadasivan Puthusserypady , Helena Domínguez , Adrian Atienza , Jakob E. Bardram

Breast cancer patients may experience relapse or death after surgery during the follow-up period, leading to dependent censoring of relapse. This phenomenon, known as semi-competing risk, imposes challenges in analyzing treatment effects on…

Methodology · Statistics 2024-07-03 Tonghui Yu , Mengjiao Peng , Yifan Cui , Elynn Chen , Chixiang Chen

In data sets with many more features than observations, independent screening based on all univariate regression models leads to a computationally convenient variable selection method. Recent efforts have shown that in the case of…

Machine Learning · Statistics 2011-08-12 Anders Gorst-Rasmussen , Thomas H. Scheike

Gaussian process regression (GPR) model has been widely used to fit data when the regression function is unknown and its nice properties have been well established. In this article, we introduce an extended t-process regression (eTPR)…

Methodology · Statistics 2017-05-16 Z. Wang , J. Q. Shi , Y. Lee

In high-dimensional linear regression, the goal pursued here is to estimate an unknown regression function using linear combinations of a suitable set of covariates. One of the key assumptions for the success of any statistical procedure in…

Statistics Theory · Mathematics 2015-03-13 Philippe Rigollet , Alexandre Tsybakov

For the regression model where the errors follow the elliptically contoured distribution (ECD), we consider the least squares (LS), restricted LS (RLS), preliminary test (PT), Stein-type shrinkage (S) and positive-rule shrinkage (PRS)…

Statistics Theory · Mathematics 2012-03-21 M. Arashi , A. K. Md E. Saleh , S. M. M. Tabatabaey