When Average Calibration Fails: Site-Conditional Federated Conformal Risk Control
Not on the map. Why?
Abstract (arXiv)
Conformal risk control (CRC) provides distribution-free segmentation guarantees by calibrating a prediction-set threshold on held-out data. In federated deployments, the standard approach pools calibration scores into a single threshold. We quantify, on real multi-institutional brain tumor data (FeTS-2022, 1,251 subjects, 20 institutions), a critical failure: naive pooled CRC protects the average hospital but violates coverage at 40% of individual institutions, with the worst site exceeding the target false-negative rate by 7.8 percentage points. We trace this failure to a hidden design choice: the aggregation weights implicitly determine whose coverage is protected. Sample-size weighting optimizes patient-level validity but can sacrifice institution-level reliability; equal-site weighting improves institution-level reliability on this benchmark at comparable efficiency, using only a single scalar per site. We propose risk-curve shrinkage as a principled mechanism: each site transmits its empirical risk curve (G scalars) and a single hyperparameter n0 smoothly interpolates between site-specific local calibration and sample-size-weighted pooled calibration. Leave-one-site-out sensitivity analysis identifies n0=19, achieving 2.7/20 violations at 2.0x stretch. Direct Lagrangian budget optimization fails by concentrating risk on vulnerable hospitals; the finite-sample correction term is essential: removing it triples violations. No patient-level images, masks, or per-volume scores leave any site.
Key facts. No citing papers in the map yet (data through 7 Oct 2026). Builds on 14 of its 18 references that are in the map. First posted on arXiv 18 Jun 2026.
Builds on
14 of 18 references.
References · 14
- 2016Communication-Efficient Learning of Deep Networks from Decentralized Datacited by 7,592
- 2022MONAI: An open-source framework for deep learning in healthcarecited by 438
- 2022Conformal Risk Controlcited by 290
- 2022Federated Learning Enables Big Data for Rare Cancer Boundary Detectioncited by 83
- 2023Federated Conformal Predictors for Distributed Uncertainty Quantificationcited by 46
- 2023Conformal Prediction for Federated Uncertainty Quantification Under Label Shiftcited by 29
- 2025Conformal Prediction for Image Segmentation Using Morphological Prediction Setscited by 13
- 2024Certifiably Byzantine-Robust Federated Conformal Predictioncited by 8
- 2025Conformal Risk Control for Semantic Uncertainty Quantification in Computed Tomographycited by 7
- 2024FUNAvg: Federated Uncertainty Weighted Averaging for Datasets with Diverse Labelscited by 5
- 2025Conditional Conformal Risk Adaptationcited by 5
- 2026Efficient Federated Conformal Prediction with Group-Conditional Guaranteecited by 4
Built on by
Not cited yet.