Gradient Descent for Unbounded Convex Functions on Hadamard Manifolds and Its Applications to Scaling Problems
Published Online:24 Apr 2026https://doi.org/10.1287/moor.2025.0939
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- Received:March 02, 2025
- Accepted:March 02, 2026
- Published Online:April 24, 2026
Copyright © 2026 The Author(s)
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Hiroshi Hirai, Keiya Sakabe (2026) Gradient Descent for Unbounded Convex Functions on Hadamard Manifolds and Its Applications to Scaling Problems. Mathematics of Operations Research 0(0).
https://doi.org/10.1287/moor.2025.0939
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The authors thank Shin-ichi Ohta, Harold Nieuwboer, and Michael Walter for discussion; Yuni Iwamasa, Taihei Oki, and Tasuku Soma for comments; and Shun Sato for suggesting Sanz Serna and Zygalakis [57]. The authors also thank the referees for numerous helpful comments. The conference version appeared as Hirai and Sakabe [33].
