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08/04/2023
Distributional Theory and Statistical Inference for Linear Functions of Eigenvectors with Small Eigengaps
Spectral methods have myriad applications in high-dimensional statistics...
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05/10/2023
An Overview of Asymptotic Normality in Stochastic Blockmodels: Cluster Analysis and Inference
This paper provides a selective review of the statistical network analys...
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05/04/2023
Semisupervised regression in latent structure networks on unknown manifolds
Random graphs are increasingly becoming objects of interest for modeling...
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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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02/08/2022
Entrywise Recovery Guarantees for Sparse PCA via Sparsistent Algorithms
Sparse Principal Component Analysis (PCA) is a prevalent tool across a p...
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05/27/2021
Entrywise Estimation of Singular Vectors of Low-Rank Matrices with Heteroskedasticity and Dependence
We propose an estimator for the singular vectors of high-dimensional low...
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12/17/2020
Nonparametric Two-Sample Hypothesis Testing for Random Graphs with Negative and Repeated Eigenvalues
We propose a nonparametric two-sample test statistic for low-rank, condi...
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08/21/2020
Correcting a Nonparametric Two-sample Graph Hypothesis Test for Graphs with Different Numbers of Vertices
Random graphs are statistical models that have many applications, rangin...
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03/31/2020
On Two Distinct Sources of Nonidentifiability in Latent Position Random Graph Models
Two separate and distinct sources of nonidentifiability arise naturally ...
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05/06/2019
