THE TWO-TO-INFINITY NORM AND SINGULAR SUBSPACE GEOMETRY WITH APPLICATIONS TO HIGH-DIMENSIONAL STATISTICS⇤ By Joshua Cape and Minh Tang and Carey

@inproceedings{Priebe2018THETN,
  title={THE TWO-TO-INFINITY NORM AND SINGULAR SUBSPACE GEOMETRY WITH APPLICATIONS TO HIGH-DIMENSIONAL STATISTICS⇤ By Joshua Cape and Minh Tang and Carey},
  author={E. Priebe and Carey E. Priebe},
  year={2018}
}
The singular value matrix decomposition plays a ubiquitous role throughout statistics and related fields. Myriad applications including clustering, classification, and dimensionality reduction involve studying and exploiting the geometric structure of singular values and singular vectors. This paper provides a novel collection of technical and theoretical tools for studying the geometry of singular subspaces using the two-to-infinity norm. Motivated by preliminary deterministic Procrustes… CONTINUE READING

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