mlsanityData to 7 Oct 2026

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

arXiv 2602.13486 ↗First posted 13 Feb 2026cs.LG cs.AI cs.DCcited by 1

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Abstract (arXiv)

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.

Key facts. Cited by 1 paper in the map (data through 7 Oct 2026). Builds on 29 of its 42 references that are in the map. First posted on arXiv 13 Feb 2026.

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29 of 42 references.

References · 29

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17 more
  1. 2018Can a Suit of Armor Conduct Electricity? A New Dataset for Open Book Question Answeringcited by 2,114
  2. 2024DoRA: Weight-Decomposed Low-Rank Adaptationcited by 740
  3. 2023MetaMath: Bootstrap Your Own Mathematical Questions for Large Language Modelscited by 724
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  12. 2025Robust Federated Finetuning of LLMs via Alternating Optimization of LoRAcited by 17
  13. 2025FedALT: Federated Fine-Tuning through Adaptive Local Training with Rest-of-World LoRAcited by 13
  14. 2024Towards Federated Low-Rank Adaptation of Language Models with Rank Heterogeneitycited by 10
  15. 2025Fed-SB: A Silver Bullet for Extreme Communication Efficiency and Performance in (Private) Federated LoRA Fine-Tuningcited by 10
  16. 2025Fed-HeLLo: Efficient Federated Foundation Model Fine-Tuning with Heterogeneous LoRA Allocationcited by 7
  17. 2025FedHL: Federated Learning for Heterogeneous Low-Rank Adaptation via Unbiased Aggregationcited by 3

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