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Precision matrix is of significant importance in a wide range of applications in multivariate analysis. This paper considers adaptive minimax estimation of sparse precision matrices in the high dimensional setting. Optimal rates of…

Statistics Theory · Mathematics 2012-12-13 T. Tony Cai , Weidong Liu , Harrison H. Zhou

We study a non-parametric approach to multivariate density estimation. The estimators are piecewise constant density functions supported by binary partitions. The partition of the sample space is learned by maximizing the likelihood of the…

Statistics Theory · Mathematics 2015-08-21 Linxi Liu , Wing Hung Wong

In multivariate regression, when covariates are numerous, it is often reasonable to assume that only a small number of them has predictive information. In some medical applications for instance, it is believed that only a few genes out of…

Methodology · Statistics 2022-07-12 Sylvain Sardy , Xiaoyu Ma

Shoulder disorders, such as frozen shoulder (a.k.a., adhesive capsulitis), are common conditions affecting the health of people worldwide, and have a high incidence rate among the elderly and workers engaged in repetitive shoulder tasks. In…

Computer Vision and Pattern Recognition · Computer Science 2025-10-13 Jindong Hong , Wencheng Zhang , Shiqin Qiao , Jianhai Chen , Jianing Qiu , Chuanyang Zheng , Qian Xu , Yun Ji , Qianyue Wen , Weiwei Sun , Hao Li , Huizhen Li , Huichao Wang , Kai Wu , Meng Li , Yijun He , Lingjie Luo , Jiankai Sun

Benchmark dose analysis aims to estimate the level of exposure to a toxin that results in a clinically-significant adverse outcome and quantifies uncertainty using the lower limit of a confidence interval for this level. We develop a novel…

Logistic regression is commonly used for modeling dichotomous outcomes. In the classical setting, where the number of observations is much larger than the number of parameters, properties of the maximum likelihood estimator in logistic…

Machine Learning · Statistics 2019-11-14 Fariborz Salehi , Ehsan Abbasi , Babak Hassibi

Standard A/B tests in online experiments face statistical power challenges when testing multiple candidates simultaneously, while adaptive experimental designs (AED) alone fall short in inferring experiment statistics such as the average…

Machine Learning · Computer Science 2025-06-04 Qining Zhang , Tanner Fiez , Yi Liu , Wenyang Liu

Cardiac resynchronization therapy (CRT) guidelines are based on clinical trials with limited female representation and inconsistent left bundle branch block (LBBB) definitions. Conventional QRS duration (QRSd) criteria show variable…

Individuals often respond differently to identical treatments, and characterizing such variability in treatment response is an important aim in the practice of personalized medicine. In this article, we describe a non-parametric accelerated…

Methodology · Statistics 2017-06-22 Nicholas C. Henderson , Thomas A. Louis , Gary L. Rosner , Ravi Varadhan

We investigate the nonparametric bivariate additive regression estimation in the random design and long-memory errors and construct adaptive thresholding estimators based on wavelet series. The proposed approach achieves asymptotically…

Statistics Theory · Mathematics 2022-05-24 Rida Benhaddou , Qing Liu

Harmonizing medication data across Electronic Health Record (EHR) systems is a persistent barrier to monitoring medications for opioid use disorder (MOUD). In heterogeneous EHR systems, key prescription attributes are scattered across…

Artificial Intelligence · Computer Science 2025-10-27 Zhe Fei , Mehmet Yigit Turali , Shreyas Rajesh , Xinyang Dai , Huyen Pham , Pavan Holur , Yuhui Zhu , Larissa Mooney , Yih-Ing Hser , Vwani Roychowdhury

Randomized controlled trials often suffer from interference, a violation of the Stable Unit Treatment Values Assumption (SUTVA) in which a unit's treatment assignment affects the outcomes of its neighbors. This interference causes bias in…

Methodology · Statistics 2025-02-06 Vydhourie Thiyageswaran , Tyler McCormick , Jennifer Brennan

Nonlinear Mixed effects models are hidden variables models that are widely used in many fields such as pharmacometrics. In such models, the distribution characteristics of hidden variables can be specified by including several parameters…

Methodology · Statistics 2021-10-19 Edouard Ollier

Causal effect estimation for dynamic treatment regimes (DTRs) contributes to sequential decision making. However, censoring and time-dependent confounding under DTRs are challenging as the amount of observational data declines over time due…

Machine Learning · Statistics 2021-09-27 Adi Lin , Jie Lu , Junyu Xuan , Fujin Zhu , Guangquan Zhang

An accurate differential diagnosis (DDx) is essential for patient care, shaping therapeutic decisions and influencing outcomes. Recently, Large Language Models (LLMs) have emerged as promising tools to support this process by generating a…

Artificial Intelligence · Computer Science 2025-10-07 Seungseop Lim , Gibaeg Kim , Hyunkyung Lee , Wooseok Han , Jean Seo , Jaehyo Yoo , Eunho Yang

People with learning disabilities have a higher mortality rate and premature deaths compared to the general public, as reported in published research in the UK and other countries. This study analyses hospitalisations of 9,618 patients…

With a large number of baseline covariates, we propose a new semi-parametric modeling strategy for heterogeneous treatment effect estimation and individualized treatment selection, which are two major goals in personalized medicine. We…

Methodology · Statistics 2021-08-12 Wenchuan Guo , Xiao-hua Zhou , Shujie Ma

Studies often estimate associations between an outcome and multiple variates. For example, studies of diagnostic test accuracy estimate sensitivity and specificity, and studies of predictive and prognostic factors typically estimate…

In this paper, a Mixed Data Sampling (MIDAS) model is studied when both low and high frequency variables are contaminated with measurement error. It is shown that the profile likelihood estimator becomes inconsistent in the presence of…

Methodology · Statistics 2026-04-28 Sukhbir Kaur , Sukhbir Singh , Kanchan Jain , Pooja Soni

In matched observational studies with continuous treatments, individuals with different treatment doses but the same or similar covariate values are paired for causal inference. While inexact covariate matching (i.e., covariate imbalance…

Methodology · Statistics 2025-02-13 Anthony Frazier , Siyu Heng , Wen Zhou