Entrywise Estimation of Singular Vectors of Low-Rank Matrices With Heteroskedasticity and Dependence

Author:

Agterberg Joshua1ORCID,Lubberts Zachary2ORCID,Priebe Carey E.3ORCID

Affiliation:

1. Department of Applied Mathematics and Statistics and the Mathematical Institute of Data Science, Johns Hopkins University, Baltimore, MD, USA

2. Human Language Technology Center of Excellence and the Department of Applied Mathematics and Statistics, Johns Hopkins University, Baltimore, MD, USA

3. Center for Imaging Science, the Department of Applied Mathematics and Statistics, Mathematical Institute of Data Science, Johns Hopkins University, Baltimore, MD, USA

Funder

Fellowship from the Johns Hopkins Mathematical Institute of Data Science (MINDS) via its NSF Transdisciplinary Research in Principles of Data Science

Charles and Catherine Counselman Fellowship

Defense Advanced Research Projects Agency (DARPA) Data-Driven Discovery of Models

Naval Engineering Education Consortium

Office of Naval Research

Microsoft Research

Publisher

Institute of Electrical and Electronics Engineers (IEEE)

Subject

Library and Information Sciences,Computer Science Applications,Information Systems

Reference76 articles.

1. Simultaneous dimensionality and complexity model selection for spectral graph clustering;yang;J Comput Graph Statist,2020

2. Universal rank inference via residual subsampling with application to large networks;han;arXiv 1912 11583,2019

3. Automatic dimensionality selection from the scree plot via the use of profile likelihood

4. Inference for heteroskedastic PCA with missing data;yan;arXiv 2107 12365,2021

5. Hanson–Wright inequality in Hilbert spaces with application to $K$-means clustering for non-Euclidean data

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