Geometric design of the tangent term in landing algorithms for orthogonality constraints
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911067600322560 |
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| author | Goyens, Florentin Absil, P. -A. Feppon, Florian |
| author_facet | Goyens, Florentin Absil, P. -A. Feppon, Florian |
| contents | We propose a family a metrics over the set of full-rank $n\times p$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_15638 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Geometric design of the tangent term in landing algorithms for orthogonality constraints Goyens, Florentin Absil, P. -A. Feppon, Florian Optimization and Control Machine Learning We propose a family a metrics over the set of full-rank $n\times p$ 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. |
| title | Geometric design of the tangent term in landing algorithms for orthogonality constraints |
| topic | Optimization and Control Machine Learning |
| url | https://arxiv.org/abs/2507.15638 |