{"paper":{"title":"Optimal conversion from R\\'enyi Differential Privacy to $f$-Differential Privacy","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.CR","authors_text":"Anneliese Riess, Flavio du Pin Calmon, Georgios Kaissis, Juan Felipe Gomez, Julia Anne Schnabel","submitted_at":"2026-02-04T13:49:51Z","abstract_excerpt":"We prove the conjecture stated in Appendix F.3 of \\citet{zhu2022optimalaccountingdifferentialprivacy}: among all conversion rules that map a R\\'enyi Differential Privacy (RDP) profile $\\tau \\mapsto \\rho(\\tau)$ to a valid hypothesis-testing trade-off $f$, the rule based on the intersection of single-order RDP privacy regions is optimal.\n  This optimality holds simultaneously for all valid RDP profiles and for all Type I error levels $\\alpha$.\n  Concretely, we show that in the space of trade-off functions, the tightest possible bound is $f_{\\rho(\\cdot)}(\\alpha) = \\sup_{\\tau \\geq 0.5} f_{\\tau,\\rh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.04562","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2602.04562/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}