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Testing covariance structure is of importance in many areas of statistical analysis, such as microarray analysis and signal processing. Conventional tests for finite-dimensional covariance cannot be applied to high-dimensional data in…

统计理论 · 数学 2013-10-31 Rongmao Zhang , Liang Peng , Ruodu Wang

There has been increased interest in using prior information in statistical analyses. For example, in rare diseases, it can be difficult to establish treatment efficacy based solely on data from a prospective study due to low sample sizes.…

统计方法学 · 统计学 2021-07-26 Ethan M. Alt , Matthew A. Psioda , Joseph G. Ibrahim

Bayesian model comparison (BMC) offers a principled approach for assessing the relative merits of competing computational models and propagating uncertainty into model selection decisions. However, BMC is often intractable for the popular…

机器学习 · 统计学 2023-11-27 Lasse Elsemüller , Martin Schnuerch , Paul-Christian Bürkner , Stefan T. Radev

In this work, we proposed a novel inferential procedure assisted by machine learning based adjustment for randomized control trials. The method was developed under the Rosenbaum's framework of exact tests in randomized experiments with…

统计方法学 · 统计学 2024-07-23 Han Yu , Alan D. Hutson , Xiaoyi Ma

Comparing large covariance matrices has important applications in modern genomics, where scientists are often interested in understanding whether relationships (e.g., dependencies or co-regulations) among a large number of genes vary…

统计方法学 · 统计学 2017-04-04 Jinyuan Chang , Wen Zhou , Wen-Xin Zhou , Lan Wang

Traditional Multi-level Hierarchical Classification (MLHC) classifiers often rely on backbone models with $n$ independent output layers. This structure tends to overlook the hierarchical relationships between classes, leading to…

Estimation and hypothesis tests for the covariance matrix in high dimensions is a challenging problem as the traditional multivariate asymptotic theory is no longer valid. When the dimension is larger than or increasing with the sample…

统计方法学 · 统计学 2020-11-18 Deepak Nag Ayyala , Santu Ghosh , Daniel F. Linder

We consider inference problems for high-dimensional (HD) functional data with a dense number (T) of repeated measurements taken for a large number of p variables from a small number of n experimental units. The spatial and temporal…

统计方法学 · 统计学 2020-05-06 Shawn Santo , Ping-Shou Zhong

We provide an inferential framework to assess variable importance for heterogeneous treatment effects. This assessment is especially useful in high-risk domains such as medicine, where decision makers hesitate to rely on black-box treatment…

统计方法学 · 统计学 2026-05-11 Pawel Morzywolek , Peter B. Gilbert , Alex Luedtke

Variable selection, also known as feature selection in machine learning, plays an important role in modeling high dimensional data and is key to data-driven scientific discoveries. We consider here the problem of detecting influential…

统计方法学 · 统计学 2014-09-24 Bo Jiang , Jun S. Liu

Developing robust and interpretable vision systems is a crucial step towards trustworthy artificial intelligence. In this regard, a promising paradigm considers embedding task-required invariant structures, e.g., geometric invariance, in…

计算机视觉与模式识别 · 计算机科学 2024-04-12 Shuren Qi , Yushu Zhang , Chao Wang , Zhihua Xia , Xiaochun Cao , Jian Weng

In clinical trials, there is potential to improve precision and reduce the required sample size by appropriately adjusting for baseline variables in the statistical analysis. This is called covariate adjustment. Despite recommendations by…

统计方法学 · 统计学 2022-06-20 Kelly Van Lancker , Joshua Betz , Michael Rosenblum

This paper introduces the partial Gini covariance, a novel dependence measure that addresses the challenges of high-dimensional inference with heavy-tailed errors, often encountered in fields like finance, insurance, climate, and biology.…

统计方法学 · 统计学 2024-11-21 Yilin Zhang , Songshan Yang , Yunan Wu , Lan Wang

This paper addresses differential inference in time-varying parametric probabilistic models, like graphical models with changing structures. Instead of estimating a high-dimensional model at each time point and estimating changes later, we…

机器学习 · 统计学 2025-04-08 Daniel J. Williams , Leyang Wang , Qizhen Ying , Song Liu , Mladen Kolar

Variational inference has been widely used in machine learning literature to fit various Bayesian models. In network analysis, this method has been successfully applied to solve the community detection problems. Although these results are…

机器学习 · 统计学 2024-05-22 Xuezhen Li , Can M. Le

Statisticians increasingly face the problem to reconsider the adaptability of classical inference techniques. In particular, divers types of high-dimensional data structures are observed in various research areas; disclosing the boundaries…

统计理论 · 数学 2017-06-09 Paavo Sattler , Markus Pauly

A framework is presented for fitting inverse problem models via variational Bayes approximations. This methodology guarantees flexibility to statistical model specification for a broad range of applications, good accuracy and reduced model…

统计方法学 · 统计学 2024-09-05 Luca Maestrini , Robert G. Aykroyd , Matt P. Wand

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

As a common step in refining their scientific inquiry, investigators are often interested in performing some screening of a collection of given statistical hypotheses. For example, they may wish to determine whether any one of several…

统计方法学 · 统计学 2022-03-04 Adam Elder , Marco Carone , Peter Gilbert , Alex Luedtke

A Monte Carlo algorithm is said to be adaptive if it automatically calibrates its current proposal distribution using past simulations. The choice of the parametric family that defines the set of proposal distributions is critical for good…

统计理论 · 数学 2011-11-11 Christian Schäfer , Nicolas Chopin