2 papers
math.OC2025
A general framework of Riemannian adaptive optimization methods with a convergence analysis
Hiroyuki Sakai, Hideaki Iiduka
This paper proposes a general framework of Riemannian adaptive optimization methods. The framework encapsulates several stochastic optimization algorithms on Riemannian manifolds a…
math.NA2024
Modified memoryless spectral-scaling Broyden family on Riemannian manifolds
Hiroyuki Sakai, Hideaki Iiduka
This paper presents modified memoryless quasi-Newton methods based on the spectral-scaling Broyden family on Riemannian manifolds. The method involves adding one parameter to the s…