A polar-factor retraction on the symplectic Stiefel manifold is introduced with a closed-form inverse, claimed to be only the second such retraction after the Cayley version.
The real symplectic Stiefel and Grassmann manifolds: metrics, geodesics and applications
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Develops an inexact proximal linearization algorithm for composite optimization on manifolds achieving O(ε^{-3}) oracle complexity and convergence to stationary points under KL property assumptions.
A generalized canonical Riemannian metric is defined on the indefinite Stiefel manifold, with an associated quasi-geodesic and retraction, for use in Riemannian gradient descent.
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A polar-factor retraction on the symplectic Stiefel manifold with closed-form inverse
A polar-factor retraction on the symplectic Stiefel manifold is introduced with a closed-form inverse, claimed to be only the second such retraction after the Cayley version.
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An inexact variable metric proximal linearization method for composite optimization on manifolds
Develops an inexact proximal linearization algorithm for composite optimization on manifolds achieving O(ε^{-3}) oracle complexity and convergence to stationary points under KL property assumptions.
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A generalized canonical metric for optimization on the indefinite Stiefel manifold
A generalized canonical Riemannian metric is defined on the indefinite Stiefel manifold, with an associated quasi-geodesic and retraction, for use in Riemannian gradient descent.