Four Kilobytes of Memory: A 10M-Parameter Fixed-State Recurrent LM for BabyLM Strict-Small

Sam Furr


Abstract
How much language competence can a small recurrent model acquire when it must compress its context into a fixed-size state? We study this question with StateHead, a gated recurrent language model without attention or positional embeddings. Our BabyLM 2026 Strict-Small submission has 9.97M parameters and 2,160 recurrent state values, equivalent to 4.2 KiB in bf16. After 1.1 hours of training on a laptop, it scores 68.2 on BLiMP, compared with 65.2 for the official 98.4M-parameter GPT-2 baseline on the same benchmark suite. This advantage is specific to grammatical discrimination: StateHead is weaker on reading-time prediction and scores near or below chance on several semantic and entity-tracking evaluations. We characterize its computation and training trajectory, and compare recipes that reset or carry state across training chunks. The apparent entity-tracking gain is confined to items whose correct answer is “nothing”; both recipes score below chance on the revised benchmark. These results document both the useful capabilities and the limits of a language model with a very small recurrent memory.
Anthology ID:
2026.babylm-main.40
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:
514–524
Language:
URL:
https://aclanthology.org/2026.babylm-main.40/
DOI:
Bibkey:
Cite (ACL):
Sam Furr. 2026. Four Kilobytes of Memory: A 10M-Parameter Fixed-State Recurrent LM for BabyLM Strict-Small. In Proceedings of the Second BabyLM Workshop, pages 514–524, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
Four Kilobytes of Memory: A 10M-Parameter Fixed-State Recurrent LM for BabyLM Strict-Small (Furr, BabyLM 2026)
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PDF:
https://aclanthology.org/2026.babylm-main.40.pdf