Author

Pu-Qian Wang

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Preprint Sep 2026

Efficient Optimization on the Euclidean Sphere: Riemannian Gradient Alignment as a Unifying Principle

It is proved that Riemannian Gradient Descent with diminishing step sizes converges linearly when RGA holds with order $r=1, and at rate $O(k-1/(2r-2)})$ for $r>1$.

Pu-Qian Wang, Nikos Zarifis, Jelena Diakonikolas · 0 citations