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REVIEW 3 major objections 4 minor 1 cited by

The Inverse Scaling Effect of Pre-Trained Language Model Surprisal Is Not Due to Data Leakage

T0 review · 3 major / 4 minor · reviewed 2026-08-07 · deepseek-v4-flash

Pith's one-line read This paper argues that the inverse scaling effect of pre-trained language model surprisal is a real phenomenon, not an artifact of data leakage.

desk verdict Solid, scale-appropriate test of the leakage hypothesis, but the abstract's 'data leakage' overstates what is measured: exact n-gram overlap only. read the letter →

arxiv 2506.01172 v1 pith:ENEWG7PB submitted 2025-06-01 cs.CL

classification cs.CL
keywords inversescalingsurprisalreadingtimesdataleakagepretrainedlanguagemodelspsycholinguisticsCDAWGn-gramoverlap
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

The paper defends the inverse scaling effect of pre-trained language model surprisal: the finding that larger models' next-word probabilities fit human reading times worse than smaller models' do. The worry had been that this trend is a data-leakage artifact, because the reading-time texts are publicly available and may appear inside pretraining corpora. The paper tests that worry directly: first by measuring exact token overlaps between five reading-time corpora and two large pretraining datasets, finding the overlaps short and rare; then by training Pythia-style models on a filtered, leakage-free subset and replicating the inverse scaling. It concludes that the trend is not an artifact of memorization, though severe leakage would make the inverse relationship look stronger than it is.

What carries the argument

The machinery is a pair of leakage-detection tools. First, a CDAWG (compact directed acyclic word graph) indexes each pretraining corpus, letting any reading-time passage be queried to find the longest contiguous subword-token sequence it shares and how often that sequence occurs in the pretraining data. Second, the same index is used as a filter to construct leakage-free training data: Pile chunks sharing 11 or fewer token overlaps with the reading-time corpora are selected, and three Pythia-like transformers are trained on that data. Fit is then quantified as the log-likelihood gain of linear mixed-effects reading-time regressions when surprisal is added to a baseline model.

What would settle it

Look for a reading-time passage, especially from Provo or Natural Stories, whose near-duplicate (paraphrase or lightly edited form) occurs in the Pile or OpenWebText, and show that a large model trained on that data gives that passage anomalously low surprisal. Alternatively, deduplicate the pretraining corpora against the reading-time corpora using fuzzy match measures and observe whether the inverse scaling slope between model size and surprisal fit collapses to zero; if the slope disappears entirely, the paper's central claim would be falsified.

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Extended reading notes

Core claim

The central claim is that previously reported inverse scaling of surprisal's fit to reading times is not caused by data leakage. The authors build compact directed acyclic word graphs (CDAWGs) over the Pythia training subset of the Pile and over OpenWebText, and query them with the passages of the Dundee, Brown, GECO, Provo, and Natural Stories corpora. They report that almost no passage appears entirely in either pretraining corpus, and the longest overlapping token sequences are typically short and occur with low frequency. They then retrain Pythia-like transformers of three sizes on Pile chunks that contain no 12-token-or-longer overlap with the reading-time passages, and the negative relationship between model size and held-out log-likelihood gain from linear mixed-effects regression appears on all five datasets. Artificially fine-tuning these models on the reading-time corpora makes the negative relationship steeper, which the authors interpret as showing that genuine severe leakage would inflate, not create, the inverse scaling.

Load-bearing premise

The load-bearing premise is that data leakage can be fully detected as exact repeated sequences of subword tokens; if leakage arrives through paraphrases, reordered sentences, or light edits, the leakage-free training data may still contain the reading-time texts and the conclusion would not follow.

Editorial extensions

If this is right

  • Researchers can continue using Pythia- and GPT-2-style pretrained models for psycholinguistic surprisal studies without attributing the inverse scaling trend to exact-text memorization.
  • The released overlap annotations give a concrete resource for screening future reading-time corpora and pretraining data.
  • Because severe leakage is shown to steepen the inverse relationship, corpora that do contain long exact overlaps should be handled with extra caution in surprisal-fitting studies.
  • The finding supports the view that larger models' worse reading-time fit reflects learned distributional associations rather than verbatim memory.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • The authors' operationalization of leakage as exact n-gram overlap leaves open the possibility of paraphrase-level leakage; a natural next experiment would be to deduplicate pretraining data with fuzzy near-duplicate detection (e.g., MinHash on embedded documents) and check whether the inverse scaling slope changes.
  • Since fine-tuning on reading-time data overestimates the negative relationship, the paper implies that original inverse-scaling slopes measured on leaky corpora may be inflated; one could predict that fully deduplicated web-scale models show the same trend but with a shallower slope.
  • The ≤11-token-overlap filtering threshold is a reusable, principled criterion for building leakage-free evaluation sets for psycholinguistics, and could generalize to other naturalistic stimulus materials such as speech transcripts or self-paced reading items.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

3 major / 4 minor

Summary. This paper investigates whether the inverse scaling effect—larger pre-trained language models providing poorer surprisal fits to human reading times—is an artifact of data leakage. Study 1 uses CDAWGs to measure the longest exact token n-gram overlap between five reading-time corpora and two pre-training datasets (Pile and OpenWebText), finding relatively little overlap in most passages. Study 2 trains Pythia-style transformer LMs of three sizes on Pile chunks filtered to have minimal exact overlap with the reading-time corpora, and reports that the negative relationship between model size and surprisal fit is replicated on all five datasets; additional fine-tuning on the reading-time texts shows that severe exact leakage would inflate this negative relationship. The authors conclude that prior inverse-scaling results using Pythia and GPT-2 are not driven by data leakage.

Significance. If the conclusion is restricted to exact-sequence leakage, the paper makes a useful contribution: it provides a scalable method for quantifying a specific form of leakage, releases the overlapping sequences, and supplies a causal control experiment (leakage-free training plus artificial fine-tuning) that is a clear improvement over purely observational overlap checks. The convergence of five datasets and the direction of the fine-tuning manipulation are persuasive. The main limitation is that the paper measures and manipulates only exact token n-gram overlap, so the broad title-level claim about 'data leakage' is stronger than the evidence supports. The re-trained models are also small relative to the Pythia/GPT-2 models discussed, and the ΔLogLik comparisons lack uncertainty quantification.

major comments (3)
  1. [Abstract and Conclusion] The central claim is broader than the operationalization. The abstract and conclusion state that previous results are 'not driven by the effects of data leakage,' but Study 1 measures only exact token n-gram overlap and Study 2 defines leakage-free data by removing exact overlaps of more than 11 continuous tokens. The artificial-leakage manipulation in Section 3.1 also injects only exact copies of the reading-time texts. The Limitations section explicitly concedes that the diagnosis 'is insensitive to minor variations in form,' so the evidence supports the narrower conclusion 'not driven by exact token-sequence leakage.' The title and abstract should be revised to reflect this scope, otherwise the headline claim is unsupported.
  2. [Section 3.2 and Appendix B] The central result—the negative relationship between model size and ΔLogLik—is presented as point estimates with no confidence intervals or significance tests. Figure 2 shows trends across five corpora and three model sizes, but the paper does not quantify uncertainty, and Appendix B states that the remaining ~25% of the data was reserved for significance testing and 'not used in this work.' Given that the claim is about a monotonic decrease in fit, the authors should provide at least bootstrap confidence intervals or a permutation test across subjects or items, or explain why the consistent pattern is sufficient.
  3. [Section 3.1, Table 1] The re-trained models are 28M, 70M, and 162M parameters, which are at the small end of or smaller than the Pythia and GPT-2 models used in the prior inverse-scaling results cited. The paper claims in the Conclusion that the results 'generalize to trends observed from larger pre-trained LMs like Pythia and GPT-2,' but no model above 162M is studied. The authors should either temper this generalization or provide evidence that the inverse scaling trend is stable in this small-model range and that extrapolation to larger sizes is justified.
minor comments (4)
  1. [Section 3.1] The statement that chunks with 'no more than 11 continuous tokens of overlap' were selected 'which excludes all overlaps improbable enough to meet our threshold in Figure 1a' is unclear; the relationship between the 11-token cutoff and the chance-level threshold of Figure 1 should be explained explicitly.
  2. [Figure 1] The red pluses denoting the chance-level threshold in Figure 1b are described in the text but the caption would benefit from a self-contained definition of the threshold, including the log-probability values and the 0.05 criterion.
  3. [Section 2.2] The description of the Provo corpus overlaps as 'potentially concerning' before noting their low frequencies is slightly confusing; the two observations should be separated clearly so that the reader can assess the frequency evidence without re-reading.
  4. [General] There are a few typographical artifacts in the rendering of author names and references (e.g., 'Ku ˇcera'), likely from the PDF extraction, but these are not substantive.

Circularity Check

0 steps flagged · score 2.0 of 10

No circularity: the leakage-free replication is independent evidence; the n-gram-overlap operationalization is a stated limitation, not a constructed equivalence.

full rationale

The paper's central claim is tested with two independent studies. Study 1 directly measures token n-gram overlap between reading-time corpora and pre-training data using CDAWGs, an external indexing method. Study 2 trains new LMs on data filtered to have minimal overlap with the reading-time corpora and then evaluates surprisal fit on held-out partitions of those same corpora; this is a genuine out-of-sample test, not a re-statement of the prior inverse-scaling result. The prior findings by Oh and Schuler (2023a,b) are cited as the phenomenon to be explained, not as evidence for the new leakage-free replication. The main weakness is that data leakage is operationalized only as exact token n-gram overlap, which the authors explicitly acknowledge in the Limitations: "data leakage in this work is diagnosed mainly through token n-gram overlaps, which is insensitive to minor variations in form." This is a limitation on the breadth of the conclusion, not a circular reduction, because the paper never defines leakage as only exact token overlap; it uses overlap as a diagnostic and leaves open the possibility of paraphrastic leakage. No equation is fitted to the target result, and no parameter is renamed as a prediction. The artificial fine-tuning manipulation is an experimental control, not a circular inference. Thus the derivation chain is self-contained; the score reflects minor non-load-bearing self-citations and the acknowledged gap between the narrow measure and the broad conclusion, which falls under validity risk rather than circularity.

Assumptions & free parameters 2 free parameters · 4 assumptions · 0 invented entities

The paper introduces no new theoretical entities. It relies on measurement choices (overlap threshold, 11-token cutoff) and domain assumptions (exact-match proxy, OpenWebText approximation, representativeness of small trained LMs).

free parameters (2)
  • Chance-level overlap threshold = p < 0.05; 5-gram log-prob thresholds -28.87 (Pile) and -25.33 (OpenWebText)
    Hand-chosen threshold to separate chance overlaps from likely copied text in Figure 1b; affects interpretation of leakage severity, not the trained-model results.
  • Maximum allowed overlap in leakage-free data = 11 tokens
    Hand-chosen cutoff for filtering training chunks in Study 2; stricter cutoffs would reduce training data, looser cutoffs might admit more overlap.
assumptions (4)
  • domain assumption Exact token n-gram overlap is a valid proxy for data leakage
    Used throughout both studies; acknowledged in Limitations as insensitive to paraphrase. This is the weakest load-bearing premise.
  • domain assumption OpenWebText approximates GPT-2's undisclosed training data
    GPT-2 training data is not public; any leakage conclusions about GPT-2 rely on this approximation, as acknowledged in Limitations.
  • domain assumption The three trained model sizes (28M-162M parameters) are sufficient to represent the inverse scaling trend of larger pre-trained LMs
    Study 2 trains models up to 162M parameters, far smaller than the largest pre-trained LMs; generalizing the replication to those models assumes the trend is continuous across scale.
  • domain assumption Standard surprisal theory and linear mixed-effects baselines isolate the effect of surprisal on reading times
    The LME models assume linear surprisal effects and include standard baseline predictors (length, position, unigram surprisal, previous fixation); these are standard in the field.

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Cite this review

Pith. "Pith review of The Inverse Scaling Effect of Pre-Trained Language Model Surprisal Is Not Due to Data Leakage." pith.science (2026). https://pith.science/paper/ENEWG7PB

@misc{pith2026250601172,
  author       = {Pith},
  title        = {Pith review of: The Inverse Scaling Effect of Pre-Trained Language Model Surprisal Is Not Due to Data Leakage},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/ENEWG7PB}},
  note         = {Machine review of arXiv:2506.01172}
}
abstract

In psycholinguistic modeling, surprisal from larger pre-trained language models has been shown to be a poorer predictor of naturalistic human reading times. However, it has been speculated that this may be due to data leakage that caused language models to see the text stimuli during training. This paper presents two studies to address this concern at scale. The first study reveals relatively little leakage of five naturalistic reading time corpora in two pre-training datasets in terms of length and frequency of token $n$-gram overlap. The second study replicates the negative relationship between language model size and the fit of surprisal to reading times using models trained on 'leakage-free' data that overlaps only minimally with the reading time corpora. Taken together, this suggests that previous results using language models trained on these corpora are not driven by the effects of data leakage.

Figures

Figures reproduced from arXiv: 2506.01172 by the authors.

Figure 1
Figure 1. Overlap between the five reading time corpora and the two pre-training corpora. Each ‘ [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. ∆LogLik due to surprisal on held-out data and corpus-level perplexity from LMs trained leakage-free (orange) and after 5 and 10 fine-tuning (FT) steps on reading time data (green and purple respectively). by-subject random effects (Barr et al., 2013) and assume a linear relationship between surprisal and reading times (Wilcox et al., 2023b; Xu et al., 2023; Shain et al., 2024) and a lingering influence of sur￾prisal… view at source ↗

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Cited by 1 Pith paper

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  1. Surprisal Theory is Tautological (without Rational Grounding)

    cs.CL 2026-07 conditional novelty 6.0 of 10

    Unconstrained surprisal theory is a tautology: for any non-negative difficulty measure, a language model exists whose surprisal matches it affinely.

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