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K-fold cross validation (CV) is a popular method for estimating the true performance of machine learning models, allowing model selection and parameter tuning. However, the very process of CV requires random partitioning of the data and so…

计算与语言 · 计算机科学 2018-06-20 Henry B. Moss , David S. Leslie , Paul Rayson

Covariate adjustment is an approach to improve the precision of trial analyses by adjusting for baseline variables that are prognostic of the primary endpoint. Motivated by the SEARCH Universal HIV Test-and-Treat Trial (2013-2017), we tell…

统计方法学 · 统计学 2025-12-16 Laura B. Balzer , Mark J. van der Laan , Maya L. Petersen

The linear regression model with a random variable (RV) measurement matrix, where the mean of the random measurement matrix has full column rank, has been extensively studied. In particular, the quasiconvexity of the maximum likelihood…

信号处理 · 电气工程与系统科学 2025-07-16 Ruohai Guo , Jiang Zhu , Xing Jiang , Fengzhong Qu

Adjustment for ``super'' or ``prognostic'' composite covariates has become more popular in randomized trials recently. These prognostic covariates are often constructed from historical data by fitting a predictive model of the outcome on…

统计方法学 · 统计学 2025-11-06 Emilie Højbjerre-Frandsen , Alejandro Schuler

We revisit the classical causal inference problem of estimating the average treatment effect in the presence of fully observed confounding variables using two-stage semiparametric methods. In existing theoretical studies of methods such as…

统计方法学 · 统计学 2022-05-23 Steve Yadlowsky

Robust estimators for linear regression require non-convex objective functions to shield against adverse affects of outliers. This non-convexity brings challenges, particularly when combined with penalization in high-dimensional settings.…

统计计算 · 统计学 2025-08-08 David Kepplinger , Siqi Wei

Observational epidemiological studies commonly seek to estimate the causal effect of an exposure on an outcome. Adjustment for potential confounding bias in modern studies is challenging due to the presence of high-dimensional confounding,…

统计方法学 · 统计学 2025-08-29 Susan Ellul , Stijn Vansteelandt , John B. Carlin , Margarita Moreno-Betancur

Generalized additive partial linear models (GAPLMs) are appealing for model interpretation and prediction. However, for GAPLMs, the covariates and the degree of smoothing in the nonparametric parts are often difficult to determine in…

统计方法学 · 统计学 2022-12-06 Ze Chen , Jun Liao , Wangli Xu , Yuhong Yang

A targeted learning (TL) framework is developed to estimate the difference in the restricted mean survival time (RMST) for a clinical trial with time-to-event outcomes. The approach starts by defining the target estimand as the RMST…

统计方法学 · 统计学 2026-01-21 Man Jin , Yixin Fang

We suggest an iterative approach to computing K-step maximum likelihood estimates (MLE) of the parametric components in semiparametric models based on their profile likelihoods. The higher order convergence rate of K-step MLE mainly depends…

统计理论 · 数学 2007-08-23 Guang Cheng

As the main workhorse for model selection, Cross Validation (CV) has achieved an empirical success due to its simplicity and intuitiveness. However, despite its ubiquitous role, CV often falls into the following notorious dilemmas. On the…

机器学习 · 计算机科学 2020-12-29 Weikai Li , Chuanxing Geng , Songcan Chen

Manifold regularization, such as laplacian regularized least squares (LapRLS) and laplacian support vector machine (LapSVM), has been widely used in semi-supervised learning, and its performance greatly depends on the choice of some…

机器学习 · 计算机科学 2019-02-14 Yong Liu , Jian Li , Guangjun Wu , Lizhong Ding , Weiping Wang

Motivated by the progress made by large language models (LLMs), we introduce the framework of verbalized machine learning (VML). In contrast to conventional machine learning (ML) models that are typically optimized over a continuous…

机器学习 · 计算机科学 2025-02-17 Tim Z. Xiao , Robert Bamler , Bernhard Schölkopf , Weiyang Liu

Augmenting randomized controlled trials (RCTs) with external real-world data (RWD) has the potential to improve the finite sample efficiency of treatment effect estimators. We describe using adaptive targeted maximum likelihood estimation…

统计方法学 · 统计学 2025-01-30 Sky Qiu , Jens Tarp , Andrew Mertens , Mark van der Laan

In recent years, precision treatment strategy have gained significant attention in medical research, particularly for patient care. We propose a novel framework for estimating conditional average treatment effects (CATE) in time-to-event…

统计方法学 · 统计学 2024-07-29 Runjia Li , Victor B. Talisa , Chung-Chou H. Chang

Variable importance is one of the most widely used measures for interpreting machine learning with significant interest from both statistics and machine learning communities. Recently, increasing attention has been directed toward…

机器学习 · 统计学 2025-12-22 Xiaohan Wang , Yunzhe Zhou , Giles Hooker

The Maximum Likelihood (ML) and Cross Validation (CV) methods for estimating covariance hyper-parameters are compared, in the context of Kriging with a misspecified covariance structure. A two-step approach is used. First, the case of the…

统计理论 · 数学 2013-06-03 François Bachoc

When estimating target parameters in nonparametric models with nuisance parameters, substituting the unknown nuisances with nonparametric estimators can introduce ``plug-in bias.'' Traditional methods addressing this suboptimal…

统计方法学 · 统计学 2024-06-04 Brian Cho , Yaroslav Mukhin , Kyra Gan , Ivana Malenica

Maximum likelihood estimators (MLE) and control variate estimators (CVE) have been used in conjunction with known information across sketching algorithms and applications in machine learning. We prove that under certain conditions in an…

The paper offers a novel unified approach to studying the accuracy of parameter estimation by the quasi likelihood method. Important features of the approach are: (1) The underlying model {is not assumed to be parametric}. (2) No conditions…

统计理论 · 数学 2009-03-11 V. Spokoiny