Federated learning (FL) allows model training from local data by edge devices while preserving data privacy. However, the learning accuracy decreases due to the heterogeneity of devices data, and the computation and communication latency increase when updating large scale learning models on devices with limited computational capability and wireless resources. To overcome these challenges, we consider a novel FL framework with partial model pruning and personalization. This framework splits the learning model into a global part with model pruning shared with all devices to learn data representations and a personalized part to be fine tuned for a specific device, which adapts the model size during FL to reduce both computation and communication overhead and minimize the overall training time, and increases the learning accuracy for the device with non independent and identically distributed (non IID) data. Then, the computation and communication latency and the convergence analysis of the proposed FL framework are mathematically analyzed. Based on the convergence analysis, an optimization problem is formulated to maximize the convergence rate under a latency threshold by jointly optimizing the pruning ratio and wireless resource allocation. By decoupling the optimization problem and deploying Karush Kuhn Tucker (KKT) conditions, we derive the closed form solutions of pruning ratio and wireless resource allocation. Finally, experimental results demonstrate that the proposed FL framework achieves a remarkable reduction of approximately 50 percents computation and communication latency compared with the scheme only with model personalization.

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