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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