Jiachen Jin

Adaptive Riemannian ADMM for Nonsmooth Optimization: Optimal Complexity without Smoothing

We study the problem of minimizing the sum of a smooth function and a nonsmooth convex regularizer over a compact Riemannian submanifold embedded in Euclidean space. By introducing an auxiliary splitting variable, we propose an adaptive Riemannian alternating direction method of multipliers (ARADMM)…