arXiv Machine Learning By Leonardo F. Toso, James Anderson, Nirupam Gupta, Rafael Pinot

On the Gradient Heterogeneity Dynamics of Adversarially Robust Federated Regression

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The paper studies federated learning where honest clients have heterogeneous data-generating models and adversarial clients can exacerbate this heterogeneity by sending arbitrary updates. It derives new bounds on gradient heterogeneity for linear and nonlinear regression, separating effects from honest clients’ model differences, label noise, and initialization. The authors show that for any (f,κ)-robust aggregator with κ = O(f/n) (where f is the number of adversarial clients and n the total number of clients, with f/n < 1/2), convergence is guaranteed after an explicit sample burn‑in period.

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