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Taming Heterogeneity in Federated Linear Stochastic Approximation and Federated Learning

Quand

14 novembre 2024    
14 h 00 min

Room 02.022, Building 5
St Priest Campus, Montpellier, 34000

Machine Learning in Montpellier, Theory & Practice

In federated learning, multiple agents collaboratively train a machine learning model without exchanging local data. To achieve this, each agent locally updates a global model, and the updated models are periodically aggregated by a central server. In this talk, I will first focus on federated linear stochastic approximation (FedLSA), with an emphasis on agent heterogeneity. I will derive upper bounds on the sample and communication complexity of FedLSA and present a method to reduce communication costs using control variates. Special attention will be given to the « linear speed-up » phenomenon, demonstrating that the sample complexity scales inversely with the number of agents in both methods. Finally, I will discuss possible extensions of these results to non-linear federated learning and provide first-order expansions of the bias in federated averaging.

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