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This research establishes intrinsic dimension (ID) as a robust metric for quantifying linguistic complexity within Large Language Models, demonstrating that ID profiles reliably distinguish between established psycho-linguistic phenomena like coordination and center-embedding. By analyzing six different models, the study reveals that these complexity markers emerge at distinct layers, suggesting a common underlying processing architecture across disparate LLMs. The findings provide a new analytical lens for understanding how neural networks encode and differentiate complex syntactic structures without relying on external interpretability tools.
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Tracing the complexity profiles of different linguistic phenomena through the intrinsic dimension of LLM representations

arXiv2 min read

arXiv:2601.03779v3 Announce Type: replace Abstract: We explore intrinsic dimension (ID) of LLM representations as a marker of linguistic complexity. Specifically, we test whether ID differences across model layers reflect well-known complexity contrasts established in (psycho)linguistics: coordination vs. subordination, right-branching vs. center-embedding, and unambiguous vs. ambiguous attachment. Our results on six different LLMs show that these contrasts are consistently reflected in ID differences, with more complex phenomena eliciting higher ID profiles. Notably, ID differences emerge at different points across layers for different contrasts, also reaching their peaks at different stages. Further experiments using representational similarity and layer pruning confirm the trends. We conclude that ID is a useful marker of linguistic complexity in LLMs, that it points to similar linguistic processing steps across disparate LLMs, and that it has the potential to differentiate between different types of complexity.

Abstract:We explore intrinsic dimension (ID) of LLM representations as a marker of linguistic complexity. Specifically, we test whether ID differences across model layers reflect well-known complexity contrasts established in (psycho)linguistics: coordination vs. subordination, right-branching vs. center-embedding, and unambiguous vs. ambiguous attachment. Our results on six different LLMs show that these contrasts are consistently reflected in ID differences, with more complex phenomena eliciting higher ID profiles. Notably, ID differences emerge at different points across layers for different contrasts, also reaching their peaks at different stages. Further experiments using representational similarity and layer pruning confirm the trends. We conclude that ID is a useful marker of linguistic complexity in LLMs, that it points to similar linguistic processing steps across disparate LLMs, and that it has the potential to differentiate between different types of complexity.

Computation and Language (cs.CL)

arXiv:2601.03779 [cs.CL]

(or arXiv:2601.03779v3 [cs.CL] for this version)

https://doi.org/10.48550/arXiv.2601.03779 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 225 words

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