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Bibliographic Details
Main Authors: Cooper, A. Feder, Lemley, Mark A., De Sa, Christopher, Duesterwald, Lea, Casasola, Allison, Hayes, Jamie, Lee, Katherine, Ho, Daniel E., Liang, Percy
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2603.24917
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Table of Contents:
  • Recent work shows that standard greedy-decoding extraction methods for quantifying memorization in LLMs miss how extraction risk varies across sequences. Probabilistic extraction -- computing the probability of generating a target suffix given a prefix under a decoding scheme -- addresses this, but is tractable only for verbatim memorization, missing near-verbatim instances that pose similar privacy and copyright risks. Quantifying near-verbatim extraction risk is expensive: the set of near-verbatim suffixes is combinatorially large, and reliable Monte Carlo (MC) estimation can require ~100,000 samples per sequence. To mitigate this cost, we introduce decoding-constrained beam search, which yields deterministic lower bounds on near-verbatim extraction risk at a cost comparable to ~20 MC samples per sequence. Across experiments, our approach surfaces information invisible to verbatim methods: many more extractable sequences, substantially larger per-sequence extraction mass, and patterns in how near-verbatim extraction risk manifests across model sizes and types of text.