Skip to content

Jiaxiang Li, Shiqian Ma, Federated learning on Riemannian manifolds

Full Text: PDF
DOI: 10.23952/asvao.5.2023.2.07
Volume 5, Issue 2, 1 August 2023, Pages 213-232


Abstract. Federated learning (FL) has found many important applications in smart-phone-APP based machine learning applications. Although many algorithms have been studied for FL, to the best of our knowledge, algorithms for FL with nonconvex constraints have not been studied. This paper studies FL over Riemannian manifolds, which finds important applications such as federated PCA and federated kPCA. We propose a Riemannian federated SVRG (RFedSVRG) method to solve federated optimization over Riemannian manifolds. We analyze its convergence rate under different scenarios. Numerical experiments are conducted to compare RFedSVRG with the Riemannian counterparts of FedAvg and FedProx. We observed from the numerical experiments that the advantages of RFedSVRG are significant.


How to Cite this Article:
J. Li, S. Ma, Federated learning on Riemannian manifolds, Appl. Set-Valued Anal. Optim. 5 (2023), 213-232.