93 citations · 457 across the 22 of their papers we have counts for
25 papers
Thresholded Lasso for high dimensional variable selection
Shuheng Zhou
Given noisy samples with dimensions, where , we show that the multi-step thresholding procedure based on the Lasso -- we call it the {\it Thresholded Lasso}, can a…
Finite sample rates of convergence for the Bigraphical and Tensor graphical Lasso estimators
Shuheng Zhou, Kristjan Greenewald
Many modern datasets exhibit dependencies among observations as well as variables. A decade ago, Kalaitzis et. al. (2013) proposed the Bigraphical Lasso, an estimator for precision…
Semidefinite programming on population clustering: a global analysis
Shuheng Zhou
In this paper, we consider the problem of partitioning a small data sample of size drawn from a mixture of sub-gaussian distributions. Our work is motivated by the applicat…
Concentration of measure bounds for matrix-variate data with missing values
Shuheng Zhou
We consider the following data perturbation model, where the covariates incur multiplicative errors. For two random matrices , we denote by the Hadam…
Precision Matrix Estimation with Noisy and Missing Data
Roger Fan, Byoungwook Jang, Yuekai Sun +1
Estimating conditional dependence graphs and precision matrices are some of the most common problems in modern statistics and machine learning. When data are fully observed, penali…
Tensor models for linguistics pitch curve data of native speakers of Afrikaans
Michael Hornstein, Shuheng Zhou, Kerby Shedden
We use tensor analysis techniques for high-dimensional data to gain insight into pitch curves, which play an important role in linguistics research. In particular, we propose that…