3 papers
math.OC2026
Centered Weak Discrete Riemannian Gradients: A Unified Framework for Riemannian Optimization
Derun Zhou
We introduce the centered weak discrete Riemannian gradient (c-wDRG) framework for the unified analysis of optimization methods on Riemannian manifolds. The framework uses a center…
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…
stat.CO2025
Dual Riemannian Newton Method on Statistical Manifolds
Derun Zhou, Keisuke Yano, Mahito Sugiyama
In probabilistic modeling, parameter estimation is commonly formulated as a minimization problem on a parameter manifold. Optimization in such spaces requires geometry-aware method…