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12/16/2022
Estimating Higher-Order Mixed Memberships via the ℓ_2,∞ Tensor Perturbation Bound
Higher-order multiway data is ubiquitous in machine learning and statist...
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05/03/2021
Learning Good State and Action Representations via Tensor Decomposition
The transition kernel of a continuous-state-action Markov decision proce...
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02/26/2020
An Optimal Statistical and Computational Framework for Generalized Tensor Estimation
This paper describes a flexible framework for generalized low-rank tenso...
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11/09/2019
ISLET: Fast and Optimal Low-rank Tensor Regression via Importance Sketching
In this paper, we develop a novel procedure for low-rank tensor regressi...
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09/21/2019
Sparse Group Lasso: Optimal Sample Complexity, Convergence Rate, and Statistical Inference
In this paper, we study sparse group Lasso for high-dimensional double s...
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06/28/2019
Learning Markov models via low-rank optimization
Modeling unknown systems from data is a precursor of system optimization...
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11/28/2018
High-dimensional Log-Error-in-Variable Regression with Applications to Microbial Compositional Data Analysis
In microbiome and genomic study, the regression of compositional data ha...
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10/21/2018
On the Non-asymptotic and Sharp Lower Tail Bounds of Random Variables
The non-asymptotic tail bounds of random variables play crucial roles in...
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10/21/2018
A Non-asymptotic, Sharp, and User-friendly Reverse Chernoff-Cramèr Bound
The Chernoff-Cramèr bound is a widely used technique to analyze the uppe...
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10/19/2018
Heteroskedastic PCA: Algorithm, Optimality, and Applications
Principal component analysis (PCA) and singular value decomposition (SVD...
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09/06/2018
Optimal Sparse Singular Value Decomposition for High-dimensional High-order Data
In this article, we consider the sparse tensor singular value decomposit...
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04/03/2018
Estimation of Markov Chain via Rank-constrained Likelihood
This paper studies the recovery and state compression of low-rank Markov...
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02/08/2018
State Compression of Markov Processes via Empirical Low-Rank Estimation
Model reduction is a central problem in analyzing complex systems and hi...
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01/29/2018
Sparse and Low-rank Tensor Estimation via Cubic Sketchings
In this paper, we propose a general framework for sparse and low-rank te...
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10/31/2017
Functional data approaches for mixed longitudinal studies, with applications in midlife women's health
Motivated by applications of mixed longitudinal studies, where a group o...
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03/08/2017
Tensor SVD: Statistical and Computational Limits
In this paper, we propose a general framework for tensor singular value ...
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11/03/2016
Cross: Efficient Low-rank Tensor Completion
The completion of tensors, or high-order arrays, attracts significant at...
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06/23/2016
Semi-supervised Inference: General Theory and Estimation of Means
We propose a general semi-supervised inference framework focused on the ...
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04/08/2015
Structured Matrix Completion with Applications to Genomic Data Integration
Matrix completion has attracted significant recent attention in many fie...
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06/05/2013