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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

This paper replaces the cardinality constraint with a difference-of-convex (DC) penalty and establishes a global error bound to prove that the penalized and constrained formulations share the same global minimizers whenever the penalty parameter exceeds a finite threshold.

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

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