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Simpler flag optimization

Published in arXiv (Cornell University) • Dec 1, 2022
NobleIDNI4P93W93R02S71
Authors:
Zehua Lai
,
Lek‐Heng Lim
,
Ke Ye

Abstract

We study the geometry of flag manifolds under different embeddings into a product of Grassmannians. We show that differential geometric objects and operations -- tangent vector, metric, normal vector, exponential map, geodesic, parallel transport, gradient, Hessian, etc -- have closed-form analytic ...

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