Optimizing Privacy, Utility and Efficiency in Constrained Multi-Objective Federated Learning
This work addresses the need for trustworthy federated learning systems that balance multiple objectives, but it is incremental as it builds on existing multi-objective optimization methods and focuses on specific privacy mechanisms.
The paper tackles the problem of optimizing multiple conflicting objectives in federated learning, such as privacy, utility, and efficiency, by formulating it as a constrained multi-objective optimization problem and developing two improved algorithms based on NSGA-II and PSL, with empirical experiments showing effectiveness under three privacy protection mechanisms.
Conventionally, federated learning aims to optimize a single objective, typically the utility. However, for a federated learning system to be trustworthy, it needs to simultaneously satisfy multiple/many objectives, such as maximizing model performance, minimizing privacy leakage and training cost, and being robust to malicious attacks. Multi-Objective Optimization (MOO) aiming to optimize multiple conflicting objectives at the same time is quite suitable for solving the optimization problem of Trustworthy Federated Learning (TFL). In this paper, we unify MOO and TFL by formulating the problem of constrained multi-objective federated learning (CMOFL). Under this formulation, existing MOO algorithms can be adapted to TFL straightforwardly. Different from existing CMOFL works focusing on utility, efficiency, fairness, and robustness, we consider optimizing privacy leakage along with utility loss and training cost, the three primary objectives of a TFL system. We develop two improved CMOFL algorithms based on NSGA-II and PSL, respectively, for effectively and efficiently finding Pareto optimal solutions, and we provide theoretical analysis on their convergence. We design specific measurements of privacy leakage, utility loss, and training cost for three privacy protection mechanisms: Randomization, BatchCrypt (An efficient version of homomorphic encryption), and Sparsification. Empirical experiments conducted under each of the three protection mechanisms demonstrate the effectiveness of our proposed algorithms.