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Federated Concept-Based Models: Interpretable models with distributed supervision
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Proposes Federated Concept-based Models (F-CMs), which aggregate client concept graphs and adapt concept-based model architectures module-wise as concept sets and dependencies evolve in federated learning.
Problem
Concept-based models need concept annotations that are scarce within single institutions, and standard federated learning assumes a fixed shared architecture, which clashes with CMs whose architecture depends on the evolving concept set and dependencies under heterogeneous, non-stationary participat
Approach
Shared CM is decomposed into concept-specific and task-specific modules; the server aggregates client DAGs by maximum consensus over edge confidences, adds or rewires only affected modules (warm-start), and aggregates each module only from clients that supervise it.
Key results
- F-CMs reach task accuracy close to centralized upper bound across benchmarks, e.g., Asia ~80.1-80.7% vs centralized ~80%, and near 100% concept coverage.
- Static federated variant S-F-CMs and localized training trail F-CMs, e.g., Hailfinder OpaqNN 54.0% (S-F-CMs) vs 68.0% (F-CMs) style gaps reported in the table.
- F-CMs modify only 8%-61% of parameters during adaptation versus 100% for reinitialization baseline.
Surprising findings
- Localized models show higher intervention variance because they may encode information about unobserved concepts into predicted ones.
Limitations
- Existing CM architectures were not designed for evolving concept spaces, so adaptation is not fully efficient.
- Privacy analysis is limited; information leakage not systematically characterized.
- Potential new attack surfaces from concept-based federated models are unexplored.
Experimental setup
Datasets: Asia Sachs Alarm Insurance Hailfinder SIIM-Pneumothorax CheXpert CheXpert Plus
Benchmarks: Asia Sachs Alarm Insurance Hailfinder SIIM-Pneumothorax CheXpert
Metrics: task accuracy concept coverage label accuracy under interventions parameter change fraction
Baselines: OpaqNN CBM CEM CGM C$^2$BM FedCBM FCL S-F-CMs Localized training
Builds on: Concept Bottleneck Models Concept Embedding Models Causally Reliable Concept Bottleneck Models FedAvg Concept Graph Models
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