학술논문

Federated Learning on Riemannian Manifolds with Differential Privacy
Document Type
Working Paper
Source
Subject
Mathematics - Optimization and Control
Computer Science - Cryptography and Security
Computer Science - Machine Learning
68W15, 68P27, 90C30, 90C48
Language
Abstract
In recent years, federated learning (FL) has emerged as a prominent paradigm in distributed machine learning. Despite the partial safeguarding of agents' information within FL systems, a malicious adversary can potentially infer sensitive information through various means. In this paper, we propose a generic private FL framework defined on Riemannian manifolds (PriRFed) based on the differential privacy (DP) technique. We analyze the privacy guarantee while establishing the convergence properties. To the best of our knowledge, this is the first federated learning framework on Riemannian manifold with a privacy guarantee and convergence results. Numerical simulations are performed on synthetic and real-world datasets to showcase the efficacy of the proposed PriRFed approach.