Author

Anthony Man-Cho So

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Preprint Sep 2026

A Stochastic Riemannian Alternating Descent Ascent Method for Nonsmooth Composite Expectation Optimization on Riemannian Manifolds

In this paper, we consider a class of Riemannian nonsmooth composite expectation optimization problems, which arises in various machine learning, signal processing, and statistics applications. Noting that these problems admit structured minimax reformulations, we propose an efficient algorithm, named stochastic Rieman...

Meng Xu, Bo Jiang, Ya-Feng Liu et al. · 0 citations

#machine learning Preprint Sep 2026

Riemannian Difference-of-Convex Optimization for K-Means Clustering

K-means is a widely adopted clustering approach in signal processing and machine learning. In this paper, we study K-means clustering through a cardinality-constrained formulation on a compact embedded submanifold. We replace the cardinality constraint with a difference-of-convex (DC) penalty and establish a global err...

Meng Xu, Bo Jiang, Han-Fu Zhang et al. · 0 citations