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arXiv 2602.13486cs.LGcs.AIcs.DC

防止联邦低秩适应中的秩坍缩与客户端异质性

Preventing Rank Collapse in Federated Low-Rank Adaptation with Client Heterogeneity

Department of Computer Science, University of Exeter(埃克塞特大学计算机科学系)

Fei Wu, Jia Hu, Geyong Min, Shiqiang Wang

AI总结:

本文针对联邦低秩适应中因客户端异质性导致的秩坍缩问题,提出raFLoRA方法,通过分解本地更新并加权聚合提升模型性能和鲁棒性。

摘要:

联邦低秩适应(FedLoRA)促进了通信高效且隐私保护的基础模型微调。在实际联邦学习场景中,系统资源和数据分布的客户端异质性促使客户端使用异构的LoRA秩。然而,我们发现基于SVD分配的异构FedLoRA中存在一种被忽视的现象,称为秩坍缩,其中全局更新的能量集中于最小共享秩,导致性能低下且对秩配置敏感。通过理论分析,我们揭示了秩坍缩的根本原因:秩无关聚合权重与秩依赖的客户端贡献之间的不匹配,系统性地以几何速率抑制更高秩更新。受此启发,我们提出raFLoRA,一种基于秩划分的聚合方法,将本地更新分解为秩分区并按其有效客户端贡献加权聚合。在视觉、语言和推理任务中的广泛实验表明,raFLoRA防止了秩坍缩,提升了模型性能,并在多样化的异构配置中增强了鲁棒性,优于强大的FedLoRA基线。

英文摘要:

Federated low-rank adaptation (FedLoRA) has facilitated communication-efficient and privacy-preserving fine-tuning of foundation models for downstream tasks. In practical federated learning scenarios, client heterogeneity in system resources and data distributions motivates the use of heterogeneous LoRA ranks across clients. However, we identify a previously overlooked phenomenon in heterogeneous FedLoRA with SVD-based allocation, termed rank collapse, where the energy of the global update becomes concentrated in the minimum shared rank, resulting in suboptimal performance and high sensitivity to rank configurations. Through theoretical analysis, we reveal the underlying mechanism of rank collapse: a mismatch between rank-agnostic aggregation weights and rank-dependent client contributions, which systematically suppresses higher-rank updates at a geometric rate over rounds. Motivated by this insight, we propose raFLoRA, a rank-partitioned aggregation method that decomposes local updates into rank partitions and then aggregates each partition weighted by its effective client contributions. Extensive experiments across vision, language, and reasoning tasks show that raFLoRA prevents rank collapse, improves model performance, and enhances robustness across diverse heterogeneous configurations compared with strong FedLoRA baselines.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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