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Title: Orthogonal Procrustes and norm-dependent optimality
This note revisits the classical orthogonal Procrustes problem and investigates the norm-dependent geometric behavior underlying Procrustes alignment for subspaces. It presents generic, deterministic bounds quantifying the performance of a specified Procrustes-based choice of subspace alignment. Numerical examples illustrate the theoretical observations and offer additional, empirical findings which are discussed in detail. This note complements recent advances in statistics involving Procrustean matrix perturbation decompositions and eigenvector estimation.  more » « less
Award ID(s):
1902755
PAR ID:
10303825
Author(s) / Creator(s):
Date Published:
Journal Name:
The Electronic Journal of Linear Algebra
Volume:
36
Issue:
36
ISSN:
1081-3810
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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