A Joint Learning and Communications Framework for Federated Learning over Wireless Networks

TL;DR

This paper develops a joint learning and communication framework for federated learning over wireless networks, optimizing user selection, power, and resource allocation to improve model accuracy amid wireless constraints.

Contribution

It introduces a novel optimization approach that jointly considers wireless factors and FL performance, deriving a closed-form convergence rate and optimizing resource allocation accordingly.

Findings

Reduces FL loss function by up to 10% compared to baseline methods.

Optimizes power and user selection to enhance FL convergence.

Provides a theoretical framework linking wireless factors to FL performance.

Abstract

In this paper, the problem of training federated learning (FL) algorithms over a realistic wireless network is studied. In particular, in the considered model, wireless users execute an FL algorithm while training their local FL models using their own data and transmitting the trained local FL models to a base station (BS) that will generate a global FL model and send it back to the users. Since all training parameters are transmitted over wireless links, the quality of the training will be affected by wireless factors such as packet errors and the availability of wireless resources. Meanwhile, due to the limited wireless bandwidth, the BS must select an appropriate subset of users to execute the FL algorithm so as to build a global FL model accurately. This joint learning, wireless resource allocation, and user selection problem is formulated as an optimization problem whose goal is to minimize an FL loss function that captures the performance of the FL algorithm. To address this problem, a closed-form expression for the expected convergence rate of the FL algorithm is first derived to quantify the impact of wireless factors on FL. Then, based on the expected convergence rate of the FL algorithm, the optimal transmit power for each user is derived, under a given user selection and uplink resource block (RB) allocation scheme. Finally, the user selection and uplink RB allocation is optimized so as to minimize the FL loss function. Simulation results show that the proposed joint federated learning and communication framework can reduce the FL loss function value by up to 10% and 16%, respectively, compared to: 1) An optimal user selection algorithm with random resource allocation and 2) a standard FL algorithm with random user selection and resource allocation.