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We study Bayesian inference in the spiked covariance model, where a small number of spiked eigenvalues dominate the spectrum. Our goal is to infer the spiked eigenvalues, their corresponding eigenvectors, and the number of spikes, providing…

统计理论 · 数学 2025-08-20 Kwangmin Lee , Sewon Park , Seongmin Kim , Jaeyong Lee

One important problem in genome science is to determine sets of co-regulated genes based on measurements of gene expression levels across samples, where the quantification of expression levels includes substantial technical and biological…

应用统计 · 统计学 2013-10-18 Chuan Gao , Christopher D Brown , Barbara E Engelhardt

We propose robust methods for inference on the effect of a treatment variable on a scalar outcome in the presence of very many controls. Our setting is a partially linear model with possibly non-Gaussian and heteroscedastic disturbances.…

统计方法学 · 统计学 2017-10-05 Alexandre Belloni , Victor Chernozhukov , Christian Hansen

Bayesian $l_0$-regularized least squares is a variable selection technique for high dimensional predictors. The challenge is optimizing a non-convex objective function via search over model space consisting of all possible predictor…

机器学习 · 统计学 2018-12-19 Nicholas G. Polson , Lei Sun

This work proposes a statistical model for crossover trials with multiple skewed responses measured in each period. A 3 $\times$ 3 crossover trial data where different drug doses were administered to subjects with a history of seasonal…

统计方法学 · 统计学 2026-04-09 Savita Pareek , Kalyan Das , Siuli Mukhopadhyay

We have utilized the non-conjugate Variational Bayesian (VB) method for the problem of the sparse Poisson regression model. To provide approximate conjugacy in the model, the likelihood is approximated by a quadratic function, yielding…

统计方法学 · 统计学 2026-02-06 Mitra Kharabati , Morteza Amini , Mohammad Arashi

This paper studies a Bayesian estimation procedure for single-hidden-layer neural networks using $\ell_{1}$ controlled weights. We study the structure of the posterior density and provide a representation that makes it amenable to rapid…

统计理论 · 数学 2025-03-20 Curtis McDonald , Andrew R. Barron

Estimating the clutter-plus-noise covariance matrix in high-dimensional STAP is challenging in the presence of Internal Clutter Motion (ICM) and a high noise floor. The problem becomes more difficult in low-sample regimes, where the Sample…

信号处理 · 电气工程与系统科学 2025-05-13 Shashwat Jain , Vikram Krishnamurthy , Muralidhar Rangaswamy , Sandeep Gogineni , Bosung Kang , Sean M. O'Rourke

Multivariate matched proportions (MMP) data appears in a variety of contexts including post-market surveillance of adverse events in pharmaceuticals, disease classification, and agreement between care providers. It consists of multiple sets…

统计方法学 · 统计学 2023-05-08 Mark J. Meyer , Haobo Cheng , Katherine Hobbs Knutson

In the era of precision medicine, genome-wide epigenetic modifications offer rich data that could inform risk prediction. However, these data are high-dimensional and exhibit complex dependence structures, which makes it difficult to…

应用统计 · 统计学 2026-05-25 Saurabh Bhandari , Parveen Bhatti , Brian C. -H. Chiu , Yuan Ji

By allowing the effects of $p$ covariates in a linear regression model to vary as functions of $R$ additional effect modifiers, varying-coefficient models (VCMs) strike a compelling balance between interpretable-but-rigid parametric models…

统计方法学 · 统计学 2025-10-10 Soham Ghosh , Saloni Bhogale , Sameer K. Deshpande

Neural circuits contain heterogeneous groups of neurons that differ in type, location, connectivity, and basic response properties. However, traditional methods for dimensionality reduction and clustering are ill-suited to recovering the…

机器学习 · 统计学 2016-10-27 Scott W. Linderman , Ryan P. Adams , Jonathan W. Pillow

We consider a method to jointly estimate sparse precision matrices and their underlying graph structures using dependent high-dimensional datasets. We present a penalized maximum likelihood estimator which encourages both sparsity and…

应用统计 · 统计学 2016-08-22 Adria Caballe , Natalia Bochkina , Claus Mayer

A small n, sequential, multiple assignment, randomized trial (snSMART) is a small sample, two-stage design where participants receive up to two treatments sequentially, but the second treatment depends on response to the first treatment.…

统计方法学 · 统计学 2020-12-14 Yan-Cheng Chao , Thomas M. Braun , Roy N. Tamura , Kelley M. Kidwell

Purpose: Undersampling is used to reduce the scan time for high-resolution 3D magnetic resonance imaging. In order to achieve better image quality and avoid manual parameter tuning, we propose a probabilistic Bayesian approach to recover…

图像与视频处理 · 电气工程与系统科学 2022-10-20 Shuai Huang , James J. Lah , Jason W. Allen , Deqiang Qiu

Clinical investigators are increasingly interested in discovering computational biomarkers from short-term longitudinal omics data sets. This work focuses on Bayesian regression and variable selection for longitudinal omics datasets, which…

统计方法学 · 统计学 2025-05-20 Livia Popa , Sumanta Basu , Myung Hee Lee , Martin T. Wells

Imaging genetics aims to uncover the hidden relationship between imaging quantitative traits (QTs) and genetic markers (e.g. single nucleotide polymorphism (SNP)), and brings valuable insights into the pathogenesis of complex diseases, such…

统计方法学 · 统计学 2025-04-30 Zhibin Pu , Shufei Ge

We incorporate a version of a spike and slab prior, comprising a pointmass at zero ("spike") and a Normal distribution around zero ("slab") into a dynamic panel data framework to model coefficient heterogeneity. In addition to homogeneity…

计量经济学 · 经济学 2024-02-07 Hyungsik Roger Moon , Frank Schorfheide , Boyuan Zhang

Covariate-dependent graph learning has gained increasing interest in the graphical modeling literature for the analysis of heterogeneous data. This task, however, poses challenges to modeling, computational efficiency, and interpretability.…

统计方法学 · 统计学 2025-04-04 Zijian Zeng , Meng Li , Marina Vannucci

While linear mixed model (LMM) has shown a competitive performance in correcting spurious associations raised by population stratification, family structures, and cryptic relatedness, more challenges are still to be addressed regarding the…

机器学习 · 计算机科学 2023-02-15 Wenting Ye , Xiang Liu , Tianwei Yue , Wenping Wang
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