Detectable Only Where It Is Confounded: What Verified Duplication Counts Say About Membership Evidence in Language Models
cs.CL, cs.CR, cs.LG
Submitted: 2026-09-09
Updated: 2026-09-29
Comments: 14 pages, 6 figures. Code, data, and sentence banks: https://github.com/IamArmanNikkhah/detectable-only-where-confounded
Code: https://github.com/IamArmanNikkhah/detectable-only-where-confounded
License: http://creativecommons.org/licenses/by/4.0/
The gist: When a language model finds a sentence unusually cheap to predict, it is tempting to conclude that the sentence was in its training data.
Terminology
Abstract
When a language model finds a sentence unusually cheap to predict, it is tempting to conclude that the sentence was in its training data. Almost every published test of that inference has had to guess which sentences were in the training data, the members, and which were not. This paper removes the guessing. Two model families, OLMo-2 and Pythia, publish their pretraining corpora, and a public index over those corpora returns the exact number of times any sentence appeared in each. Those counts make three questions answerable directly. The answers form a pincer, closing from two sides. At the duplication levels ordinary text actually has, five models from 1B to 13B parameters carry at most a faint trace of their own exposure. We measure that trace with a design that reads the same sentence through two models, which cancels fluency and quality by construction, and it comes to a rank correlation near-0.08, where-1 would be a perfect relation and 0 none. Where the trace does become strong, above roughly a thousand copies, the two corpora agree on which sentences those are, because they are the famous ones, so exposure can no longer be told apart from fame. Two further measurements show how apparent membership signal gets manufactured. A common way to build a non-member is to change one word of a member. The model does prefer the original, but the gap is the same whether the original appeared once or a hundred times, so what the model is rewarding is the author's word choice, not memory. Above a thousand copies the gap grows with model size on the twelve sentences we can test there, at the same boundary where the pincer closes. And swapping the controls for sentences that differ from the members in register moves a detector from 0.83 to 0.94 AUC, on a scale where 0.5 is a coin flip and 1.0 is perfect separation. We release the sentence banks, counts, and code.
Sources
- Pythia: A Suite for Analyzing Large Language Models Across Training and Scaling
- Extracting Training Data from Large Language Models
- Quantifying Memorization Across Neural Language Models
- Blind Baselines Beat Membership Inference Attacks for Foundation Models
- Do Membership Inference Attacks Work on Large Language Models?
- The Pile: An 800GB Dataset of Diverse Text for Language Modeling
- Infini-gram: Scaling Unbounded n-gram Language Models to a Trillion Tokens
- Membership Inference Attacks against Language Models via Neighbourhood Comparison
- SoK: Membership Inference Attacks on LLMs are Rushing Nowhere (and How to Fix It)
- Quantifying Privacy Risks of Masked Language Models Using Membership Inference Attacks
- 2 OLMo 2 Furious
- Detecting Pretraining Data from Large Language Models
- Membership Inference Attacks Cannot Prove that a Model Was Trained On Your Data
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