A Randomized Zeroth-Order Hierarchical Framework for Heterogeneous Federated Learning

Fuente: arXiv
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Autores principales: Qiu, Yuyang, Kim, Kibaek, Yousefian, Farzad
Formato: Preprint
Publicado: 2025
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author Qiu, Yuyang
Kim, Kibaek
Yousefian, Farzad
author_facet Qiu, Yuyang
Kim, Kibaek
Yousefian, Farzad
contents Heterogeneity in federated learning (FL) is a critical and challenging aspect that significantly impacts model performance and convergence. In this paper, we propose a novel framework by formulating heterogeneous FL as a hierarchical optimization problem. This new framework captures both local and global training processes through a bilevel formulation and is capable of the following: (i) addressing client heterogeneity through a personalized learning framework; (ii) capturing the pre-training process on the server side; (iii) updating the global model through nonstandard aggregation; (iv) allowing for nonidentical local steps; and (v) capturing clients' local constraints. We design and analyze an implicit zeroth-order FL method (ZO-HFL), equipped with nonasymptotic convergence guarantees for both the server-agent and the individual client-agents, and asymptotic guarantees for both the server-agent and client-agents in an almost sure sense. Notably, our method does not rely on standard assumptions in heterogeneous FL, such as the bounded gradient dissimilarity condition. We implement our method on image classification tasks and compare with other methods under different heterogeneous settings.
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id arxiv_https___arxiv_org_abs_2504_01839
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Randomized Zeroth-Order Hierarchical Framework for Heterogeneous Federated Learning
Qiu, Yuyang
Kim, Kibaek
Yousefian, Farzad
Optimization and Control
Machine Learning
Heterogeneity in federated learning (FL) is a critical and challenging aspect that significantly impacts model performance and convergence. In this paper, we propose a novel framework by formulating heterogeneous FL as a hierarchical optimization problem. This new framework captures both local and global training processes through a bilevel formulation and is capable of the following: (i) addressing client heterogeneity through a personalized learning framework; (ii) capturing the pre-training process on the server side; (iii) updating the global model through nonstandard aggregation; (iv) allowing for nonidentical local steps; and (v) capturing clients' local constraints. We design and analyze an implicit zeroth-order FL method (ZO-HFL), equipped with nonasymptotic convergence guarantees for both the server-agent and the individual client-agents, and asymptotic guarantees for both the server-agent and client-agents in an almost sure sense. Notably, our method does not rely on standard assumptions in heterogeneous FL, such as the bounded gradient dissimilarity condition. We implement our method on image classification tasks and compare with other methods under different heterogeneous settings.
title A Randomized Zeroth-Order Hierarchical Framework for Heterogeneous Federated Learning
topic Optimization and Control
Machine Learning
url https://arxiv.org/abs/2504.01839