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An Optimal Statistical and Computational Framework for Generalized Tensor Estimation

Feb 26, 2020
Rungang Han, Rebecca Willett, Anru Zhang


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ISLET: Fast and Optimal Low-rank Tensor Regression via Importance Sketching

Nov 09, 2019
Anru Zhang, Yuetian Luo, Garvesh Raskutti, Ming Yuan


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Sparse Group Lasso: Optimal Sample Complexity, Convergence Rate, and Statistical Inference

Sep 21, 2019
T. Tony Cai, Anru Zhang, Yuchen Zhou


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Learning Markov models via low-rank optimization

Jun 28, 2019
Ziwei Zhu, Xudong Li, Mengdi Wang, Anru Zhang

* 40 pages, 4 figures. arXiv admin note: text overlap with arXiv:1804.00795 

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A Non-asymptotic, Sharp, and User-friendly Reverse Chernoff-Cramèr Bound

Oct 21, 2018
Anru Zhang, Yuchen Zhou


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Heteroskedastic PCA: Algorithm, Optimality, and Applications

Oct 19, 2018
Anru Zhang, T. Tony Cai, Yihong Wu


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Optimal Sparse Singular Value Decomposition for High-dimensional High-order Data

Sep 06, 2018
Anru Zhang, Rungang Han

* 73 pages 

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Spectral State Compression of Markov Processes

Aug 28, 2018
Anru Zhang, Mengdi Wang


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Semi-supervised Inference: General Theory and Estimation of Means

Aug 14, 2018
Anru Zhang, Lawrence D. Brown, T. Tony Cai


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Estimation of Markov Chain via Rank-Constrained Likelihood

Jul 19, 2018
Xudong Li, Mengdi Wang, Anru Zhang

* Proceedings of the 35th International Conference on Machine Learning (ICML2018), Stockholm, Sweden, PMLR 80, 2018 
* Accepted at ICML 2018 

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Tensor SVD: Statistical and Computational Limits

Apr 14, 2018
Anru Zhang, Dong Xia

* To appear in IEEE Transactions on Information Theory 

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Sparse and Low-rank Tensor Estimation via Cubic Sketchings

Jan 29, 2018
Botao Hao, Anru Zhang, Guang Cheng


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Cross: Efficient Low-rank Tensor Completion

Nov 03, 2016
Anru Zhang


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Structured Matrix Completion with Applications to Genomic Data Integration

Apr 08, 2015
Tianxi Cai, T. Tony Cai, Anru Zhang

* Accepted for publication in Journal of the American Statistical Association 

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ROP: Matrix recovery via rank-one projections

Dec 09, 2014
T. Tony Cai, Anru Zhang

* Annals of Statistics 2015, Vol. 43, No. 1, 102-138 
* Published in at http://dx.doi.org/10.1214/14-AOS1267 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org

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Sparse Representation of a Polytope and Recovery of Sparse Signals and Low-rank Matrices

Oct 22, 2013
T. Tony Cai, Anru Zhang

* to appear in IEEE Transactions on Information Theory 

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