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We propose and investigate new complementary methodologies for estimating predictive variance networks in regression neural networks. We derive a locally aware mini-batching scheme that result in sparse robust gradients, and show how to…

机器学习 · 统计学 2019-11-05 Nicki S. Detlefsen , Martin Jørgensen , Søren Hauberg

Nonparametric regression models offer a way to understand and quantify relationships between variables without having to identify an appropriate family of possible regression functions. Although many estimation methods for these models have…

统计方法学 · 统计学 2023-04-07 Matias Salibian-Barrera

We consider the classification problem of a high-dimensional mixture of two Gaussians with general covariance matrices. Using the replica method from statistical physics, we investigate the asymptotic behavior of a general class of…

机器学习 · 统计学 2024-10-29 Hanwen Huang , Peng Zeng

Model uncertainty is a central challenge in statistical models for binary outcomes such as logistic regression, arising when it is unclear which predictors should be included in the model. Many methods have been proposed to address this…

We propose a residual randomization procedure designed for robust Lasso-based inference in the high-dimensional setting. Compared to earlier work that focuses on sub-Gaussian errors, the proposed procedure is designed to work robustly in…

统计方法学 · 统计学 2021-08-20 Y. Samuel Wang , Si Kai Lee , Panos Toulis , Mladen Kolar

This paper presents a fast methodology, called ROBOUT, to identify outliers in a response variable conditional on a set of linearly related predictors, retrieved from a large granular dataset. ROBOUT is shown to be effective and…

统计方法学 · 统计学 2021-04-27 Matteo Farnè , Angelos Vouldis

This paper develops a robust and efficient method for policy learning from observational data in the presence of unobserved confounding, complementing existing instrumental variable (IV) based approaches. We employ the marginal sensitivity…

计量经济学 · 经济学 2025-07-29 Zequn Jin , Gaoqian Xu , Xi Zheng , Yahong Zhou

We introduce a novel class of Bayesian mixtures for normal linear regression models which incorporates a further Gaussian random component for the distribution of the predictor variables. The proposed cluster-weighted model aims to…

统计方法学 · 统计学 2026-05-26 Panagiotis Papastamoulis , Konstantinos Perrakis

Doubly robust estimators are widely used for estimating average treatment effects and other linear summaries of regression functions. While consistency requires only one of two nuisance functions to be estimated consistently, asymptotic…

统计方法学 · 统计学 2025-07-01 Lars van der Laan , Alex Luedtke , Marco Carone

Missing data is frequently encountered in many areas of statistics. Propensity score weighting is a popular method for handling missing data. The propensity score method employs a response propensity model, but correct specification of the…

统计方法学 · 统计学 2024-03-28 Hengfang Wang , Jae Kwang Kim , Jeongseop Han , Youngjo Lee

In different fields of applications including, but not limited to, behavioral, environmental, medical sciences and econometrics, the use of panel data regression models has become increasingly popular as a general framework for making…

统计方法学 · 统计学 2020-05-15 Beste Hamiye Beyaztas , Soutir Bandyopadhyay

In modern experimental science, there is a common problem of estimating the coefficients of a linear regression in a context where the variables of interest cannot be observed simultaneously. When there is a categorical variable that is…

统计方法学 · 统计学 2025-03-10 Polina Arsenteva , Mohamed Amine Benadjaoud , Hervé Cardot

Penalization schemes like Lasso or ridge regression are routinely used to regress a response of interest on a high-dimensional set of potential predictors. Despite being decisive, the question of the relative strength of penalization is…

统计方法学 · 统计学 2018-11-08 Britta Velten , Wolfgang Huber

This paper proposes an adaptive penalized weighted mean regression for outlier detection of high-dimensional data. In comparison to existing approaches based on the mean shift model, the proposed estimators demonstrate robustness against…

统计理论 · 数学 2023-06-27 Jiaqi Li , Linglong Kong , Bei Jiang , Wei Tu

In our paper, we focus on robust variable selection for missing data and measurement error. Missing data and measurement errors can lead to confusing data distribution. We propose an exponential loss function with a tuning parameter to…

统计方法学 · 统计学 2025-07-01 Zhenhao Zhang , Yunquan Song

Despite decades of research and recent progress in adaptive control and reinforcement learning, there remains a fundamental lack of understanding in designing controllers that provide robustness to inherent non-asymptotic uncertainties…

机器学习 · 计算机科学 2021-08-13 Benjamin Gravell , Tyler Summers

We study the problem of selecting limited features to observe such that models trained on them can perform well simultaneously across multiple subpopulations. This problem has applications in settings where collecting each feature is…

机器学习 · 计算机科学 2025-10-27 Maitreyi Swaroop , Tamar Krishnamurti , Bryan Wilder

Convex and penalized robust regression methods often suffer from a persistent bias induced by large outliers, limiting their effectiveness in adversarial or heavy-tailed settings. In this work, we study a smooth redescending non-convex…

统计理论 · 数学 2025-12-01 Ilyes Hammouda , Mohamed Ndaoud , Abd-Krim Seghouane

The statistical regression technique is an extraordinarily essential data fitting tool to explore the potential possible generation mechanism of the random phenomenon. Therefore, the model selection or the variable selection is becoming…

统计方法学 · 统计学 2020-03-25 Yue Su , Patrick Kandege Mwanakatwe

Robust machine learning for regulatory genomics is studied under biologically and technically induced distribution shifts. Deep convolutional and attention based models achieve strong in distribution performance on DNA regulatory sequence…

基因组学 · 定量生物学 2026-02-20 Yiyao Yang
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