Amplitude Mean of Functional Data on $\mathbb{S}^2$

1 code implementation • 29 Jul 2021 • Zhengwu Zhang, Bayan Saparbayeva

Manifold-valued functional data analysis (FDA) recently becomes an active area of research motivated by the raising availability of trajectories or longitudinal data observed on non-linear manifolds.

Accelerated Algorithms for Convex and Non-Convex Optimization on Manifolds

no code implementations • 18 Oct 2020 • Lizhen Lin, Bayan Saparbayeva, Michael Minyi Zhang, David B. Dunson

One of the key challenges for optimization on manifolds is the difficulty of verifying the complexity of the objective function, e. g., whether the objective function is convex or non-convex, and the degree of non-convexity.

Communication Efficient Parallel Algorithms for Optimization on Manifolds

no code implementations • NeurIPS 2018 • Bayan Saparbayeva, Michael Minyi Zhang, Lizhen Lin

Our work aims to fill a critical gap in the literature by generalizing parallel inference algorithms to optimization on manifolds.

Distributed Computing Low-Rank Matrix Completion +1