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Federated Learning from Vision-Language Foundation Models: Theoretical Analysis and Method
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Builds a feature-learning theory for prompt-based federated learning with CLIP and proposes PromptFolio, which mixes a global (PromptFL) and local (CoOp) prompt as a portfolio, with a derived optimal mixing coefficient.
Problem
Prompt-based federated learning of vision-language models (e.g., CLIP) lacks theoretical understanding, and the trade-off between generalization and personalization under data heterogeneity is not analyzed.
Approach
Analyze prompt learning via feature-learning signal/noise coefficient dynamics, cast task-relevant and task-irrelevant coefficients as portfolio return and risk, and mix global and local text features (PromptFolio) to show provable lower test loss and derive an optimal mixing weight theta.
Key results
- On CIFAR-100, PromptFolio reaches 80.17% accuracy versus 78.16% for PromptFL and 76.88% for CoOp.
- On DTD, PromptFolio reaches 71.32% versus 70.99% for PromptFL and 56.39% for CoOp in the main table.
- In the appendix on five further datasets (Food101, DTD, Caltech101, Flowers102, OxfordPets) with Dirichlet alpha=0.3, PromptFolio reports the best result on DTD (61.04%), Caltech101, Flowers102 and OxfordPets, while FedTPG is best on Food101 (86.59 vs 86.50).
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Mix global PromptFL and local CoOp prompts with θ=0.2 instead of using a single prompt | CLIP prompt-based federated learning · CIFAR-100 | accuracy: 78.16 -> 80.17 | Helped |
| Mix global PromptFL and local CoOp prompts with θ=0.2 instead of using a single prompt | CLIP prompt-based federated learning · DomainNet | accuracy: 92.72 -> 93.04 | Helped |
| Mix global PromptFL and local CoOp prompts with θ=0.2 instead of using a single prompt | CLIP prompt-based federated learning · Office-Caltech10 | accuracy: 97.10 -> 97.24 | Helped |
| Mix global PromptFL and local CoOp prompts with θ=0.2 instead of using a single prompt | CLIP prompt-based federated learning · OxfordPets | accuracy: 88.91 -> 92.17 | Helped |
| Mix global PromptFL and local CoOp prompts with θ=0.2 instead of using a single prompt | CLIP prompt-based federated learning · DTD | accuracy: 70.99 -> 71.32 | Helped |
| Mix global and local prompts instead of using the strongest listed baseline | CLIP prompt-based learning · Food101 | accuracy: 86.59 -> 86.50 | Hurt |
| Mix global and local prompts instead of using the strongest listed baseline | CLIP prompt-based learning · DTD | accuracy: 58.14 -> 61.04 | Helped |
| Mix global and local prompts instead of using the strongest listed baseline | CLIP prompt-based learning · Caltech101 | accuracy: 93.88 -> 93.59 | Hurt |
| Mix global and local prompts instead of using the strongest listed baseline | CLIP prompt-based learning · Flowers102 | accuracy: 74.47 -> 74.61 | Helped |
| Mix global and local prompts instead of using the strongest listed baseline | CLIP prompt-based learning · OxfordPets | accuracy: 91.08 -> 92.08 | Helped |
| Vary the global-local mixing coefficient θ across its range rather than use either endpoint alone (ablation) | PromptFolio · CIFAR-100, varying data heterogeneity and client number | accuracy | Helped |
Surprising findings
- Aggregate PromptFL and CoOp alone are each outperformed by their mixture, and the optimal theta is non-trivial (about 0.2 as general default).
Limitations
- Theory uses a simplified text model with a single activation function and a binary classification setting.
- Analysis relies on orthogonality assumptions of features and over-parameterization conditions.
Experimental setup
Datasets: CIFAR-100 DomainNet Office-Caltech10 OxfordPets DTD Food101 Caltech101 Flowers102
Benchmarks: CIFAR-100 DomainNet Office-Caltech10 OxfordPets DTD Food101 Caltech101 Flowers102
Metrics: accuracy
Baselines: CoOp PromptFL FedProx FedPer FedAMP FedTPG PromptFL+FT
Builds on: CoOp PromptFL feature learning theory FedAvg Markowitz mean-variance model
Closest papers by meaning
- Harmonizing Generalization and Personalization in Federated Prompt Learning (ICML 2024 · similarity 0.92)
- Mixture of Experts Made Personalized: Federated Prompt Learning for Vision-Language Models (ICLR 2025 · similarity 0.91)
- Global and Local Prompts Cooperation via Optimal Transport for Federated Learning (CVPR 2024 · similarity 0.90)
- Unlocking the Potential of Prompt-Tuning in Bridging Generalized and Personalized Federated Learning (CVPR 2024 · similarity 0.90)
- FedPHA: Federated Prompt Learning for Heterogeneous Client Adaptation (ICML 2025 · similarity 0.89)
- Global Prompt Refinement with Non-Interfering Attention Masking for One-Shot Federated Learning (NeurIPS 2025 · similarity 0.88)
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