Task Diversity in Bayesian Federated Learning: Simultaneous Processing of Classification and Regression

• URL: http://arxiv.org/abs/2412.10897v2
• Date: Wed, 25 Dec 2024 09:58:16 GMT
• Title: Task Diversity in Bayesian Federated Learning: Simultaneous Processing of Classification and Regression
• Authors: Junliang Lyu, Yixuan Zhang, Xiaoling Lu, Feng Zhou,
• Abstract summary: We propose a principled integration of multi-task learning using multi-output Gaussian processes (MOGP) at the local level and federated learning at the global level. Challenges in performing posterior inference on local devices are addressed through the P'o'lya-Gamma augmentation technique and mean-field variational inference. Experimental results on both synthetic and real data demonstrate superior predictive performance, OOD detection, uncertainty calibration and convergence rate.
• Score: 18.522115769904477
• License:
• Abstract: This work addresses a key limitation in current federated learning approaches, which predominantly focus on homogeneous tasks, neglecting the task diversity on local devices. We propose a principled integration of multi-task learning using multi-output Gaussian processes (MOGP) at the local level and federated learning at the global level. MOGP handles correlated classification and regression tasks, offering a Bayesian non-parametric approach that naturally quantifies uncertainty. The central server aggregates the posteriors from local devices, updating a global MOGP prior redistributed for training local models until convergence. Challenges in performing posterior inference on local devices are addressed through the P\'{o}lya-Gamma augmentation technique and mean-field variational inference, enhancing computational efficiency and convergence rate. Experimental results on both synthetic and real data demonstrate superior predictive performance, OOD detection, uncertainty calibration and convergence rate, highlighting the method's potential in diverse applications. Our code is publicly available at https://github.com/JunliangLv/task_diversity_BFL.

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