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20192026
most citedRiemannian Smoothing Gradient Type Algorithms]{Riemannian Smoothing Gradient Type Algorithms for Nonsmooth Optimization Problem on Compact Riemannian Submanifold Embedded in Euclidean Space

7 citations · 22 across the 15 of their papers we have counts for

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Showing 2024 · math.OCShow all

3 papers · 2 filters

math.OC2024

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization

Kangkang Deng, Jiang Hu

This paper studies decentralized optimization over a compact submanifold within a communication network of nodes, where each node possesses a smooth non-convex local cost funct…

math.OC2024

Improving the communication in decentralized manifold optimization through single-step consensus and compression

Jiang Hu, Kangkang Deng

We are concerned with decentralized optimization over a compact submanifold, where the loss functions of local datasets are defined by their respective local datasets. A key challe…

math.OC2024

Oracle complexities of augmented Lagrangian methods for nonsmooth manifold optimization

Kangkang Deng, Jiang Hu, Jiayuan Wu +1

In this paper, we present two novel manifold inexact augmented Lagrangian methods, \textbf{ManIAL} for deterministic settings and \textbf{StoManIAL} for stochastic settings, solvin…