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In this paper we consider estimation of sparse covariance matrices and propose a thresholding procedure which is adaptive to the variability of individual entries. The estimators are fully data driven and enjoy excellent performance both…

统计方法学 · 统计学 2011-02-14 Tony Cai , Weidong Liu

When the experimental objective is expressed by a set of estimable functions, and any eigenvalue-based optimality criterion is selected, we prove the equivalence of the recently introduced weighted optimality and the 'standard' optimality…

统计理论 · 数学 2016-10-21 Samuel Rosa

We consider an adaptive finite element method with arbitrary but fixed polynomial degree $p \ge 1$, where adaptivity is driven by an edge-based residual error estimator. Based on the modified maximum criterion from [Diening et al, Found.…

数值分析 · 数学 2021-01-29 Michael Innerberger , Dirk Praetorius

Conformal Prediction (CP) serves as a robust framework that quantifies uncertainty in predictions made by Machine Learning (ML) models. Unlike traditional point predictors, CP generates statistically valid prediction regions, also known as…

机器学习 · 计算机科学 2024-03-29 A. A. Balinsky , A. D. Balinsky

Effective decision making from randomised controlled clinical trials relies on robust interpretation of the numerical results. However, the language we use to describe clinical trials can cause confusion both in trial design and in…

Individualized treatment rules aim to identify if, when, which, and to whom treatment should be applied. A globally aging population, rising healthcare costs, and increased access to patient-level data have created an urgent need for…

统计方法学 · 统计学 2019-01-04 Ying-Qi Zhao , Eric B. Laber , Yang Ning , Sumona Saha , Bruce Sands

The process of calibrating computer models of natural phenomena is essential for applications in the physical sciences, where plenty of domain knowledge can be embedded into simulations and then calibrated against real observations. Current…

机器学习 · 计算机科学 2025-01-20 Rafael Oliveira , Dino Sejdinovic , David Howard , Edwin V. Bonilla

Design of experiments (DOE) is playing an essential role in learning and improving a variety of objects and processes. The article discusses the application of unsupervised machine learning to support the pragmatic designs of complex…

机器学习 · 计算机科学 2021-10-07 Alex Glushkovsky

Static code analysis is a powerful approach to detect quality deficiencies such as performance bottlenecks, safety violations or security vulnerabilities already during a software system's implementation. Yet, as current software systems…

软件工程 · 计算机科学 2017-10-23 Eric Bodden

Regulatory authorities guide the use of permutation tests or randomization tests so as not to increase the type-I error rate when applying covariate-adaptive randomization in randomized clinical trials. For non-inferiority and equivalence…

应用统计 · 统计学 2023-12-27 Masahiro Kojima , Hirotaka Mano , Kana Yamada , Keisuke Hanada , Yuji Tanaka , Junji Moriya

Sequential decision making significantly speeds up research and is more cost-effective compared to fixed-n methods. We present a method for sequential decision making for stratified count data that retains Type-I error guarantee or false…

统计方法学 · 统计学 2023-02-23 Rosanne J. Turner , Peter D. Grünwald

A new empirical Bayes approach to variable selection in the context of generalized linear models is developed. The proposed algorithm scales to situations in which the number of putative explanatory variables is very large, possibly much…

统计方法学 · 统计学 2021-06-29 Haim Bar , James Booth , Martin T. Wells

Background. Designing trials to reduce treatment duration is important in several therapeutic areas, including TB and antibiotics. We recently proposed a new randomised trial design to overcome some of the limitations of standard two-arm…

Innovations across science and industry are evaluated using randomized trials (a.k.a. A/B tests). While simple and robust, such static designs are inefficient or infeasible for testing many hypotheses. Adaptive designs can greatly improve…

机器学习 · 计算机科学 2024-08-09 Jimmy Wang , Ethan Che , Daniel R. Jiang , Hongseok Namkoong

This study examines the application of Bayesian approach in the context of clinical trials, emphasizing their increasing importance in contemporary biomedical research. While conventional frequentist approach provides a foundational basis…

统计方法学 · 统计学 2026-01-16 Paramahansa Pramanik , Arnab Kumar Maity , Anjan Mandal , Haley Kate Robinson

Recently, a new testing approach for response-adaptive clinical trials was proposed based on the allocation probabilities (AP) rather than the outcome data. While original work on the AP test focused on binary and normal endpoints and…

统计方法学 · 统计学 2026-05-11 Stina Zetterstrom , David S. Robertson , Thomas Jaki , Sofía S. Villar

Precision medicine has led to a paradigm shift allowing the development of targeted drugs that are agnostic to the tumor location. In this context, basket trials aim to identify which tumor types - or baskets - would benefit from the…

统计方法学 · 统计学 2026-01-05 Marcio A. Diniz , Hulya Kocyigit , Erin Moshier , Madhu Mazumdar , Deukwoo Kwon

In randomized clinical trials, adjustments for baseline covariates at both design and analysis stages are highly encouraged by regulatory agencies. A recent trend is to use a model-assisted approach for covariate adjustment to gain…

统计方法学 · 统计学 2021-07-14 Ting Ye , Jun Shao , Yanyao Yi , Qingyuan Zhao

In deploying artificial intelligence (AI) models, selective prediction offers the option to abstain from making a prediction when uncertain about model quality. To fulfill its promise, it is crucial to enforce strict and precise error…

统计方法学 · 统计学 2026-03-27 Tian Bai , Ying Jin

There has been a split in the statistics community about the need for taking covariates into account in the design phase of a clinical trial. There are many advocates of using stratification and covariate-adaptive randomization to promote…

统计方法学 · 统计学 2011-02-21 William F. Rosenberger , Oleksandr Sverdlov
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