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pFedMxF: Personalized Federated Class-Incremental Learning with Mixture of Frequency Aggregation
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Proposes pFedMxF, a federated class-incremental learning method that assigns randomly sampled, non-overlapping 2D-DFT frequency coefficients to client-task pairs for interference-free PEFT updates, plus an Auto-task Agnostic Classifier for routing.
Problem
Federated class-incremental learning must handle non-IID clients (spatial heterogeneity), sequential tasks (temporal heterogeneity), and heterogeneous client resources, while avoiding interference, catastrophic forgetting, and high communication cost.
Approach
Represent each client-task parameter update as a sparse set of 2D DFT coefficients sampled without replacement, so updates occupy orthogonal frequency subspaces; aggregation is a lossless mixture of these frequency components. A task-routing classifier (AAC) with per-task heads and prototype-based routing handles class-incremental prediction.
Key results
- On CIFAR-100 under quantity-based label imbalance (alpha=6), pFedMxF reaches 71.3% last and 80.7% average accuracy, versus 70.5% last for InfLoRA and 69.3% for PILoRA.
- At the most severe QBLI setting (alpha=2) on CIFAR-100, pFedMxF gets 64.9% average accuracy, while L2P collapses to 5.6%.
- Ablation: pFedMxF with 3000 frequencies (3.2 per-mille sparsity) matches LoRA rank r=4 performance with about half the parameters.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| use pFedMxF instead of the strongest reported baseline | CIFAR-100 · QBLI α=6, α=4, and α=2 | Avg. accuracy (%): 78.5 -> 80.7; 75.6 -> 76.2; 62.8 -> 64.9 | Helped |
| use pFedMxF instead of the strongest reported baseline | CIFAR-100 · DBLI β=0.5, β=0.1, and β=0.05 | Avg. accuracy (%): 78.5 -> 80.3; 73.8 -> 75.2; 69.3 -> 70.5 | Helped |
| use pFedMxF instead of the strongest reported baseline | TinyImageNet · QBLI α=6, α=4, and α=2 | Avg. accuracy (%): 81.5 -> 82.7; 81.4 -> 83.1; 77.6 -> 78.4 | Helped |
| use pFedMxF instead of the strongest reported baseline | TinyImageNet · DBLI β=0.5, β=0.1, and β=0.05 | Avg. accuracy (%): 81.6 -> 82.4; 80.1 -> 82.3; 80.3 -> 81.9 | Helped |
| add AAC instead of using a unified classifier (ablation) | pFedMxF · CIFAR-100, QBLI α=6 | Avg. accuracy (%): 74.1 -> 80.7 | Helped |
| assign non-shared random rather than shared frequency coordinates (ablation) | pFedMxF · CIFAR-100, QBLI α=6 | Avg. accuracy (%): 78.2 -> 80.7 | Helped |
| replace FedAvg or FedStack aggregation with pFedMxF aggregation (ablation) | CIFAR-100 · QBLI α=6 | Avg. accuracy (%): 77.8 -> 80.7; 78.6 -> 80.7 | Helped |
| vary the number of frequency components from 1000 to 3000 to 6000 (ablation) | pFedMxF · CIFAR-100, QBLI α=6 | Avg. accuracy (%): 80.2; 80.7; 80.6 | Mixed |
Surprising findings
- L2P collapses to 2.6% last-task accuracy on CIFAR-100 under severe quantity-based imbalance (alpha=2).
- Sharing frequency coordinates across clients (breaking orthogonality) degrades accuracy notably, especially under severe heterogeneity.
Limitations
- Experiments use only simulated non-IID partitions of three image datasets with a single ViT-B/16 backbone.
- Gains over LoRA-based baselines such as InfLoRA and PILoRA are modest in several settings, and the paper reports no statistical significance tests beyond three seeds.
Experimental setup
Datasets: CIFAR-100 Tiny-ImageNet DomainNet
Benchmarks: CIFAR-100 Tiny-ImageNet
Metrics: test accuracy (last task) average accuracy over tasks
Baselines: EWC LwF iCaRL L2P TARGET GLFC LGA PILoRA InfLoRA FedAvg FedStack
Builds on: LoRA InfLoRA FedStack L2P DINO
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