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Math @ Duke
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Papers Published
- Tan, J; Zhang, Y; Hong, C; Cai, TT; Cai, T; Zhang, AR, Integrated analysis for electronic health records with structured and sporadic missingness.,
J Biomed Inform, vol. 171
(November, 2025),
pp. 104933 [doi] [abs]
- Shi, P; Martino, C; Han, R; Janssen, S; Buck, G; Serrano, M; Owzar, K; Knight, R; Shenhav, L; Zhang, AR, TEMPTED: time-informed dimensionality reduction for longitudinal microbiome studies.,
Genome Biol, vol. 25 no. 1
(December, 2024),
pp. 317 [doi] [abs]
- Jiang, S; Gai, X; Treggiari, MM; Stead, WW; Zhao, Y; Page, CD; Zhang, AR, Soft phenotyping for sepsis via EHR time-aware soft clustering.,
J Biomed Inform, vol. 152
(April, 2024),
pp. 104615 [doi] [abs]
- Zhang, AR; Bell, RP; An, C; Tang, R; Hall, SA; Chan, C; Al-Khalil, K; Meade, CS, Cocaine Use Prediction With Tensor-Based Machine Learning on Multimodal MRI Connectome Data.,
Neural Comput, vol. 36 no. 1
(December, 2023),
pp. 107-127 [doi] [abs]
- Towe, SL; Tang, R; Gibson, MJ; Zhang, AR; Meade, CS, Longitudinal changes in neurocognitive performance related to drug use intensity in a sample of persons with and without HIV who use illicit stimulants.,
Drug Alcohol Depend, vol. 251
(October, 2023),
pp. 110923 [doi] [abs]
- Han, R; Zhang, AR, Rungang Han and Anru R. Zhangs contribution to the Discussion of ‘Vintage factor analysis with varimax performs statistical inference’ by Rohe & Zeng,
Journal of the Royal Statistical Society Series B Statistical Methodology, vol. 85 no. 4
(September, 2023),
pp. 1069-1070, Oxford University Press (OUP) [doi] [abs]
- Hao, B; Zhang, A; Cheng, G, Sparse and Low-Rank Tensor Estimation via Cubic Sketchings,
IEEE Transactions on Information Theory, vol. 66 no. 9
(September, 2020),
pp. 5927-5964, Institute of Electrical and Electronics Engineers (IEEE) [doi]
- Zhang, A; Wang, M, Spectral State Compression of Markov Processes,
IEEE Transactions on Information Theory, vol. 66 no. 5
(May, 2020),
pp. 3202-3231, Institute of Electrical and Electronics Engineers (IEEE) [doi]
- Cao, Y; Zhang, A; Li, H, Multisample estimation of bacterial composition matrices in metagenomics data,
Biometrika, vol. 107 no. 1
(March, 2020),
pp. 75-92, Oxford University Press (OUP) [doi] [abs]
- Zhang, AR; Luo, Y; Raskutti, G; Yuan, M, ISLET: Fast and Optimal Low-Rank Tensor Regression via Importance Sketching,
SIAM Journal on Mathematics of Data Science, vol. 2 no. 2
(January, 2020),
pp. 444-479, Society for Industrial & Applied Mathematics (SIAM) [doi]
- Zhang, AR; Zhou, Y, On the non-asymptotic and sharp lower tail bounds of random variables,
Stat, vol. 9 no. 1
(January, 2020) [doi] [abs]
- Wan, C; Chang, W; Zhang, Y; Shah, F; Lu, X; Zang, Y; Zhang, A; Cao, S; Fishel, ML; Ma, Q; Zhang, C, LTMG: a novel statistical modeling of transcriptional expression states in single-cell RNA-Seq data,
Nucleic Acids Research, vol. 47 no. 18
(October, 2019),
pp. e111-e111, Oxford University Press (OUP) [doi] [abs]
- Zhang, A; Han, R, Optimal Sparse Singular Value Decomposition for High-Dimensional High-Order Data,
Journal of the American Statistical Association, vol. 114 no. 528
(October, 2019),
pp. 1708-1725, Informa UK Limited [doi]
- Zhang, A; Brown, LD; Cai, TT, Semi-supervised inference: General theory and estimation of means,
The Annals of Statistics, vol. 47 no. 5
(October, 2019), Institute of Mathematical Statistics [doi]
- Zhang, A, Cross: Efficient low-rank tensor completion,
The Annals of Statistics, vol. 47 no. 2
(April, 2019), Institute of Mathematical Statistics [doi]
- Zhang, A; Xia, D, Tensor SVD: Statistical and Computational Limits,
IEEE Transactions on Information Theory, vol. 64 no. 11
(November, 2018),
pp. 7311-7338, Institute of Electrical and Electronics Engineers (IEEE) [doi]
- Zhou, Q; Ernst, PA; Morgan, KL; Rubin, DB; Zhang, A, Sequential rerandomization,
Biometrika, vol. 105 no. 3
(September, 2018),
pp. 745-752, Oxford University Press (OUP) [doi]
- Cai, TT; Zhang, A, Rate-optimal perturbation bounds for singular subspaces with applications to high-dimensional statistics,
The Annals of Statistics, vol. 46 no. 1
(February, 2018), Institute of Mathematical Statistics [doi]
- Cai, TT; Zhang, A, Minimax rate-optimal estimation of high-dimensional covariance matrices with incomplete data,
Journal of Multivariate Analysis, vol. 150
(September, 2016),
pp. 55-74, Elsevier BV [doi]
- Shi, P; Zhang, A; Li, H, Regression analysis for microbiome compositional data,
The Annals of Applied Statistics, vol. 10 no. 2
(June, 2016), Institute of Mathematical Statistics [doi]
- Cai, T; Cai, TT; Zhang, A, Structured Matrix Completion with Applications to Genomic Data Integration,
Journal of the American Statistical Association, vol. 111 no. 514
(April, 2016),
pp. 621-633, Informa UK Limited [doi]
- Kang, H; Zhang, A; Cai, TT; Small, DS, Instrumental Variables Estimation With Some Invalid Instruments and its Application to Mendelian Randomization,
Journal of the American Statistical Association, vol. 111 no. 513
(January, 2016),
pp. 132-144, Informa UK Limited [doi]
- Cai, TT; Zhang, A, Inference for high-dimensional differential correlation matrices,
Journal of Multivariate Analysis, vol. 143
(January, 2016),
pp. 107-126, Elsevier BV [doi]
- Cai, TT; Zhang, A, ROP: Matrix recovery via rank-one projections,
The Annals of Statistics, vol. 43 no. 1
(February, 2015), Institute of Mathematical Statistics [doi]
- Cai, TT; Zhang, A, Sparse Representation of a Polytope and Recovery of Sparse Signals and Low-Rank Matrices,
IEEE Transactions on Information Theory, vol. 60 no. 1
(January, 2014),
pp. 122-132, Institute of Electrical and Electronics Engineers (IEEE) [doi]
- Cai, TT; Zhang, A, Sharp RIP bound for sparse signal and low-rank matrix recovery,
Applied and Computational Harmonic Analysis, vol. 35 no. 1
(July, 2013),
pp. 74-93, Elsevier BV [doi]
- Cai, TT; Zhang, A, Compressed Sensing and Affine Rank Minimization Under Restricted Isometry,
IEEE Transactions on Signal Processing, vol. 61 no. 13
(July, 2013),
pp. 3279-3290, Institute of Electrical and Electronics Engineers (IEEE) [doi]
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dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
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Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
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