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2025 • Conference Paper

Geometric Design of the Tangent Term in Landing Algorithms for Orthogonality Constraints

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Geometric Design of the Tangent Term in Landing Algorithms for Orthogonality Constraints

Authors:
Florentin Goyens (Alan Turing Institute and University of Oxford, UK), Absil, Pierre-Antoine , Florian Feppon ((KU Leuven))
Published in:
7th International Conference, GSI 2025

We propose a family a metrics over the set of full-rank n×p real matrices, and apply them to the landing framework for optimization under orthogonality constraints. The family of metrics we propose is a natural extension of the β-metric, defined on the Stiefel manifold.

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