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Semi-supervised learning has attracted significant attention due to the proliferation of applications featuring limited labeled data but abundant unlabeled data. In this paper, we examine the statistical inference problem in an…

统计方法学 · 统计学 2026-03-31 Chao Ying , Siyi Deng , Yang Ning , Jiwei Zhao , Heping Zhang

We study methods for simultaneous analysis of many noisy and biased estimates, each paired with an even noisier estimate of its own bias. The analyst's goal is to construct short calibrated intervals for each parameter. The standard…

统计方法学 · 统计学 2026-05-11 Wanyi Ling , Sida Li , Junming Guan , Nikolaos Ignatiadis

High-dimensional vector autoregression with measurement error is frequently encountered in a large variety of scientific and business applications. In this article, we study statistical inference of the transition matrix under this model.…

统计方法学 · 统计学 2020-09-18 Xiang Lyu , Jian Kang , Lexin Li

In this paper, we introduce a novel high-dimensional Factor-Adjusted sparse Partially Linear regression Model (FAPLM), to integrate the linear effects of high-dimensional latent factors with the nonparametric effects of low-dimensional…

统计方法学 · 统计学 2025-01-14 Yanmei Shi , Meiling Hao , Yanlin Tang , Xu Guo

Consider semiparametric estimation where a doubly robust estimating function for a low-dimensional parameter is available, depending on two working models. With high-dimensional data, we develop regularized calibrated estimation as a…

统计方法学 · 统计学 2020-09-28 Satyajit Ghosh , Zhiqiang Tan

We propose a scalable variational Bayes method for statistical inference for a single or low-dimensional subset of the coordinates of a high-dimensional parameter in sparse linear regression. Our approach relies on assigning a mean-field…

机器学习 · 统计学 2025-08-12 Ismaël Castillo , Alice L'Huillier , Kolyan Ray , Luke Travis

This paper studies the problem of statistical inference for genetic relatedness between binary traits based on individual-level genome-wide association data. Specifically, under the high-dimensional logistic regression models, we define…

统计方法学 · 统计学 2022-10-06 Rong Ma , Zijian Guo , T. Tony Cai , Hongzhe Li

Bayesian predictive inference provides a coherent description of entire predictive uncertainty through predictive distributions. We examine several widely used sparsity priors from the predictive (as opposed to estimation) inference…

统计理论 · 数学 2024-06-03 Veronika Rockova

Focusing on a high dimensional linear model $y = X\beta + \epsilon$ with dependent, non-stationary, and heteroskedastic errors, this paper applies the debiased and threshold ridge regression method that gives a consistent estimator for…

统计理论 · 数学 2021-10-27 Yunyi Zhang , Dimitris N. Politis

We study asymptotically normal estimation and confidence regions for low-dimensional parameters in high-dimensional sparse models. Our approach is based on the $\ell_1$-penalized M-estimator which is used for construction of a bias…

统计方法学 · 统计学 2016-10-06 Jana Janková , Sara van de Geer

We consider statistical inference for impulse responses in sparse, structural high-dimensional vector autoregressive (SVAR) systems. We introduce consistent estimators of impulse responses in the high-dimensional setting and suggest valid…

统计方法学 · 统计学 2021-06-03 Jonas Krampe , Efstathios Paparoditis , Carsten Trenkler

For high-dimensional omics data, sparsity-inducing regularization methods such as the Lasso are widely used and often yield strong predictive performance, even in settings when the assumption of sparsity is likely violated. We demonstrate…

统计方法学 · 统计学 2025-02-13 Andrea Bratsberg , Magne Thoresen , Jelle J. Goeman

As datasets grow larger, they are often distributed across multiple machines that compute in parallel and communicate with a central machine through short messages. In this paper, we focus on sparse regression and propose a new procedure…

统计方法学 · 统计学 2023-03-14 Sifan Liu , Snigdha Panigrahi

Quantifying uncertainty in high-dimensional sparse linear regression is a fundamental task in statistics that arises in various applications. One of the most successful methods for quantifying uncertainty is the debiased LASSO, which has a…

统计理论 · 数学 2024-02-27 Pedro Abdalla , Gil Kur

Although various distributed machine learning schemes have been proposed recently for pure linear models and fully nonparametric models, little attention has been paid on distributed optimization for semi-paramemetric models with…

机器学习 · 统计学 2019-11-05 Shaogao Lv , Heng Lian

Sparse principal component analysis (sPCA) has become one of the most widely used techniques for dimensionality reduction in high-dimensional datasets. The main challenge underlying sPCA is to estimate the first vector of loadings of the…

统计方法学 · 统计学 2018-02-01 Jana Janková , Sara van de Geer

Data-driven decision making frequently relies on predicting counterfactual outcomes. In practice, researchers commonly train counterfactual prediction models on a source dataset to inform decisions on a possibly separate target population.…

机器学习 · 统计学 2026-04-07 Keith Barnatchez , Kevin P. Josey , Rachel C. Nethery , Giovanni Parmigiani

The estimation of linear causal models (also known as structural equation models) from data is a well-known problem which has received much attention in the past. Most previous work has, however, made an explicit or implicit assumption of…

人工智能 · 计算机科学 2007-05-23 Patrik O. Hoyer , Shohei Shimizu , Antti J. Kerminen

Simultaneous inference for high-dimensional non-Gaussian time series is always considered to be a challenging problem. Such tasks require not only robust estimation of the coefficients in the random process, but also deriving limiting…

统计方法学 · 统计学 2021-11-03 Linbo Liu , Danna Zhang

We consider estimation of average treatment effects given observational data with high-dimensional pretreatment variables. Existing methods for this problem typically assume some form of sparsity for the regression functions. In this work,…

统计方法学 · 统计学 2024-04-12 Yuhao Wang , Rajen D. Shah