Search Results - "Anru Zhang"

An optimal statistical and computational framework for generalized tensor estimation by Han, Rungang, Willett, Rebecca, Zhang, Anru R.

“…This paper describes a flexible framework for generalized low-rank tensor estimation problems that includes many important instances arising from applications…”
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Tensor clustering with planted structures: Statistical optimality and computational limits by Luo, Yuetian, Zhang, Anru R.

“…This paper studies the statistical and computational limits of high-order clustering with planted structures. We focus on two clustering models, constant…”
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Sparse Representation of a Polytope and Recovery of Sparse Signals and Low-Rank Matrices by Cai, T. Tony, Anru Zhang

“…This paper considers compressed sensing and affine rank minimization in both noiseless and noisy cases and establishes sharp restricted isometry conditions for…”
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Guaranteed Functional Tensor Singular Value Decomposition by Han, Rungang, Shi, Pixu, Zhang, Anru R.

“…This article introduces the functional tensor singular value decomposition (FTSVD), a novel dimension reduction framework for tensors with one functional mode…”
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Inference for low-rank tensors—no need to debias by Xia, Dong, Zhang, Anru R., Zhou, Yuchen

“…In this paper, we consider the statistical inference for several low-rank tensor models. Specifically, in the Tucker low-rank tensor PCA or regression model,…”
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Mode-wise principal subspace pursuit and matrix spiked covariance model by Tang, Runshi, Yuan, Ming, Zhang, Anru R

“…Abstract This paper introduces a novel framework called Mode-wise Principal Subspace Pursuit (MOP-UP) to extract hidden variations in both the row and column…”
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Core shrinkage covariance estimation for matrix-variate data by Hoff, Peter, McCormack, Andrew, Zhang, Anru R

“…Abstract A separable covariance model can describe the among-row and among-column correlations of a random matrix and permits likelihood-based inference with a…”
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NONPARAMETRIC COVARIANCE ESTIMATION FOR MIXED LONGITUDINAL STUDIES, WITH APPLICATIONS IN MIDLIFE WOMEN’S HEALTH by Zhang, Anru R., Chen, Kehui

“…In mixed longitudinal studies, a group of subjects enter the study at different ages (cross-sectional) and are followed for successive years (longitudinal). In…”
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Rungang Han and Anru R. Zhangs contribution to the Discussion of ‘Vintage factor analysis with varimax performs statistical inference’ by Rohe & Zeng by Han, Rungang, Zhang, Anru R

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Sparse Group Lasso: Optimal Sample Complexity, Convergence Rate, and Statistical Inference by Cai, T. Tony, Zhang, Anru R., Zhou, Yuchen

“…We study sparse group Lasso for high-dimensional double sparse linear regression, where the parameter of interest is simultaneously element-wise and group-wise…”
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Exact clustering in tensor block model: Statistical optimality and computational limit by Han, Rungang, Luo, Yuetian, Wang, Miaoyan, Zhang, Anru R.

“…High‐order clustering aims to identify heterogeneous substructures in multiway datasets that arise commonly in neuroimaging, genomics, social network studies,…”
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Sharp RIP bound for sparse signal and low-rank matrix recovery by Cai, T. Tony, Zhang, Anru

“…This paper establishes a sharp condition on the restricted isometry property (RIP) for both the sparse signal recovery and low-rank matrix recovery. It is…”
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High-dimensional log-error-in-variable regression with applications to microbial compositional data analysis by Shi, Pixu, Zhou, Yuchen, Zhang, Anru R

“…Summary In microbiome and genomic studies, the regression of compositional data has been a crucial tool for identifying microbial taxa or genes that are…”
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A Schatten-q low-rank matrix perturbation analysis via perturbation projection error bound by Luo, Yuetian, Han, Rungang, Zhang, Anru R.

“…This paper studies the Schatten-q error of low-rank matrix estimation by singular value decomposition under perturbation. We specifically establish a…”
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Optimal High-Order Tensor SVD via Tensor-Train Orthogonal Iteration by Zhou, Yuchen, Zhang, Anru R., Zheng, Lili, Wang, Yazhen

“…This paper studies a general framework for high-order tensor SVD. We propose a new computationally efficient algorithm, tensor-train orthogonal iteration…”
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REGRESSION ANALYSIS FOR MICROBIOME COMPOSITIONAL DATA by Shi, Pixu, Zhang, Anru, Li, Hongzhe

“…One important problem in microbiome analysis is to identify the bacterial taxa that are associated with a response, where the microbiome data are summarized as…”
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Reliable generation of privacy-preserving synthetic electronic health record time series via diffusion models by Tian, Muhang, Chen, Bernie, Guo, Allan, Jiang, Shiyi, Zhang, Anru R

“…Abstract Objective Electronic health records (EHRs) are rich sources of patient-level data, offering valuable resources for medical data analysis. However,…”
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Heteroskedastic PCA: Algorithm, optimality, and applications by Zhang, Anru R., Cai, T. Tony, Wu, Yihong

“…A general framework for principal component analysis (PCA) in the presence of heteroskedastic noise is introduced. We propose an algorithm called HeteroPCA,…”
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Denoising atomic resolution 4D scanning transmission electron microscopy data with tensor singular value decomposition by Zhang, Chenyu, Han, Rungang, Zhang, Anru R., Voyles, Paul.M.

“…•Tensor SVD, a method to find a low-dimensional representation of complex data, was applied to denoise atomic-resolution 4D STEM and EDS spectrum image…”
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Compressed Sensing and Affine Rank Minimization Under Restricted Isometry by Cai, T. T., Zhang, A.

“…This paper establishes new restricted isometry conditions for compressed sensing and affine rank minimization. It is shown for compressed sensing that…”
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