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

Fuente: arXiv
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Auteurs principaux: Lyu, Junliang, Zhang, Yixuan, Lu, Xiaoling, Zhou, Feng
Format: Preprint
Publié: 2024
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author Lyu, Junliang
Zhang, Yixuan
Lu, Xiaoling
Zhou, Feng
author_facet Lyu, Junliang
Zhang, Yixuan
Lu, Xiaoling
Zhou, Feng
contents 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 Pólya-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.
format Preprint
id arxiv_https___arxiv_org_abs_2412_10897
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Task Diversity in Bayesian Federated Learning: Simultaneous Processing of Classification and Regression
Lyu, Junliang
Zhang, Yixuan
Lu, Xiaoling
Zhou, Feng
Machine Learning
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 Pólya-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.
title Task Diversity in Bayesian Federated Learning: Simultaneous Processing of Classification and Regression
topic Machine Learning
url https://arxiv.org/abs/2412.10897