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

(2025) 7th International Conference, GSI 2025 — Location: Saint-Malo, France (29.October.2025)

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Abstract
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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Citations

Goyens, F., Absil, P.-A., & Feppon, F. (2025). Geometric Design of the Tangent Term in Landing Algorithms for Orthogonality Constraints. Lecture Notes in Computer Science : Geometric Science of Information, p. 133-141. https://doi.org/10.1007/978-3-032-03924-8_14