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Paper · arXiv

Beyond Indistinguishability: Measuring Extraction Risk in LLM APIs

Indistinguishability properties such as differential privacy bounds or low empirically measured membership inference are widely treated as proxies to show a model is sufficiently protected against broader memorization risks. However, we show that indistinguishability properties are neither sufficient nor necessary for preventing data extraction in LLM APIs. We formalize a privacy-game separation between extraction and indistinguishability-based privacy, showing that indistinguishability and inextractability are incomparable: upper-bounding distinguishability does not upper-bound extractability. To address this gap, we introduce $(l, b)$-inextractability as a definition that requires at le...

AuthorsRuixuan Liu, David Evans, Li Xiong
Primary categorycs.CR
Published20 April 2026
Last updated at source20 April 2026
cs.CRcs.CLcs.LG
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