Private Anytime Selective-Risk Certification for Federated Retrieval-Augmented Generation: Guarantees and Empirical Limits
On the map: Retrieval-augmented generation → Privacy and security of RAG
Abstract (arXiv)
Selective-risk certificates promise that accepted outputs meet a declared error target. We develop Fed-SRC, a score-agnostic certificate for federated, differentially private, adaptively monitored retrieval-augmented generation. Clients release only Gaussian-perturbed score and loss histograms. Record-indexed and noise-variance-indexed martingales jointly bound target-risk contrast and accepted mass over all registered thresholds and rounds, permitting predictable recruitment, dropout, threshold selection, and optional stopping. A range-one total-variation term transfers the calibration mixture to a declared deployment mixture. The contribution is this private, federated, anytime combination, rather than the contrast statistic or acceptance floor individually. Empirically, no simultaneous-bound violation occurs in any evaluated cell, privacy level, or policy. Operational power depends on the score and population: the primary target r*=0.10 never certifies, and on RAGTruth the secondary target r*=0.20 never certifies either, whereas on HaluEval question answering it certifies in all 200 non-private trials, with held-out risk below the target. Naively privatized non-private certificates violate their bounds in 146 to 198 of 200 trials. As an exploratory comparison, we also evaluate a private betting-capital heuristic for which we do not establish e-process validity. This heuristic stops certifying at epsilon <= 4, where Fed-SRC still certifies. Certification nevertheless consumes roughly 30 times more stream events than unique calibration items.
Key facts. No citing papers in the map yet (data through 7 Oct 2026). Placed in Privacy and security of RAG, one of 15 directions in Retrieval-augmented generation. Builds on 19 of its 38 references that are in the map. First posted on arXiv 8 Aug 2026.
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19 of 38 references.
References · 19
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- 2023Conformal Prediction for Federated Uncertainty Quantification Under Label Shiftcited by 29
7 more
- 2024C-RAG: Certified Generation Risks for Retrieval-Augmented Language Modelscited by 27
- 2022Fully Adaptive Composition in Differential Privacycited by 22
- 2022Nonparametric extensions of randomized response for private confidence setscited by 6
- 2025Selective Risk Certification for LLM Outputs via Information-Lift Statistics: PAC-Bayes, Robustness, and Skeleton Designcited by 5
- 2025Anytime-Valid Answer Sufficiency Certificates for LLM Generation via Sequential Information Liftcited by 3
- 2026Optimal Rates for Differentially Private Hypothesis Testing with E-valuescited by 1
- 2026Certified Adaptive Refresh: Anytime-Valid Monitoring for Federated Conformal RAGcited by 1
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