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math.OC2026
Riemannian Optimization over Symmetric Positive Definite Matrices with the Alpha-Procrustes Geometry
Derun Zhou, Keisuke Yano, Mahito Sugiyama
In Riemannian optimization, it is well known that the condition number of the Riemannian Hessian at an optimum strongly influences the asymptotic convergence behavior of optimizati…
math.OC2026
Trajectory-Restricted Optimization Conditions and Geometry-Aware Linear Convergence
Faris Chaudhry, Anthea Monod, Keisuke Yano
Linear convergence of first-order methods is typically characterized by global optimization conditions whose constants reflect worst-case geometry of the ambient space. In high-dim…