Emergence of a High-Dimensional Abstraction Phase in Language Transformers

Emily Cheng, Diego Doimo, Corentin Kervadec, Iuri Macocco, Jade Yu +2 more
2/12/2026

No official code found. Best implementation: chengemily1/id-llm-abstraction (6 stars, MIT, last commit 2025-01-23).

Abstract

A language model (LM) is a mapping from a linguistic context to an output token. However, much remains to be known about this mapping, including how its geometric properties relate to its function. We take a high-level geometric approach to its analysis, observing, across five pre-trained transformer-based LMs and three input datasets, a distinct phase characterized by high intrinsic dimensionality. During this phase, representations (1) correspond to the first full linguistic abstraction of the input; (2) are the first to viably transfer to downstream tasks; (3) predict each other across different LMs. Moreover, we find that an earlier onset of the phase strongly predicts better language modelling performance. In short, our results suggest that a central high-dimensionality phase underlies core linguistic processing in many common LM architectures.

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MIT

Code for ICLR 2025 paper "Emergence of a High-Dimensional Abstraction Phase in Language Transformers"

62PythonJan 23, 20251 years agoMIT

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Cite this paper

@article{cheng2026emergence,
  title  = {Emergence of a High-Dimensional Abstraction Phase in Language Transformers},
  author = {Emily Cheng and Diego Doimo and Corentin Kervadec and Iuri Macocco and Jade Yu and A. Laio and Marco Baroni},
  year   = {2026},
  eprint = {2405.15471},
  archivePrefix = {arXiv},
  url    = {https://arxiv.org/abs/2405.15471},
  journal = {ICLR 2024 2024}
}

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