What Helped with Huge Data Hurt with Small Data: Standardization, Representational Geometry, and Data Scale

Catherine Finegan-Dollak


Abstract
Training models on cognitively plausible (CP) amounts of data (tens or hundreds of millions of words) offers multiple advantages over the huge-data training (hundreds of billions to trillions of tokens) typical of current models, but achieving competitive performance at CP scale remains an open challenge. Understanding differences in representational geometry between CP- and huge-data models may help us design better CP-scale models. We identify differences in two aspects of representational geometry (anisotropy and rogue dimensionality) and a difference in effect of a geometry-targeted intervention.

Although standardization—a technique to address anisotropy and rogue dimensions in LLM representational geometry—improves lexical similarity performance in huge-data models, the effect reverses for CP-data models. We also find that both rogue dimensionality and anisotropy correlate with data scale, further supporting the view that CP- and huge-scale models differ geometrically. However, statistical analysis of results across 18 models showed that neither rogue dimensions nor anisotropy significantly positively mediated the difference in standardization effect, except in one model per mechanism. This absence of mediation is itself a finding: it fails to support the two mechanisms most directly motivated by prior work on standardization, narrowing what plausibly explains the reversal. Thus, the observed qualitative difference in standardization effect may hint at as-yet undiscovered differences, geometric or otherwise, between CP-scale models and models trained on huge data.
Anthology ID:
2026.babylm-main.31
Volume:
Proceedings of the Second BabyLM Workshop
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Leshem Choshen, Ryan Cotterell, Mustafa Omer Gul, Jaap Jumelet, Tal Linzen, Aaron Mueller, Suchir Salhan, Raj Sanjay Shah, Alex Warstadt, Ethan Gotlieb Wilcox
Venues:
BabyLM | WS
SIG:
Publisher:
Association for Computational Linguistics
Note:
Pages:
388–402
Language:
URL:
https://aclanthology.org/2026.babylm-main.31/
DOI:
Bibkey:
Cite (ACL):
Catherine Finegan-Dollak. 2026. What Helped with Huge Data Hurt with Small Data: Standardization, Representational Geometry, and Data Scale. In Proceedings of the Second BabyLM Workshop, pages 388–402, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
What Helped with Huge Data Hurt with Small Data: Standardization, Representational Geometry, and Data Scale (Finegan-Dollak, BabyLM 2026)
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PDF:
https://aclanthology.org/2026.babylm-main.31.pdf