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This research investigates the convergence speed of transformer-based LLMs when learning "k-antilocal" languages, which lack mutual information across contiguous symbol spans. The study reveals a locality bias where models achieve comparable loss on highly antilocal data but require significantly more training iterations to converge compared to standard patterns. This finding highlights fundamental architectural constraints in how current transformers handle non-local dependencies, offering critical insights for model efficiency and theoretical limits.
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Informational Antilocality and the Locality Bias in LLMs

arXiv1 min read

arXiv:2608.27760v1 Announce Type: new Abstract: We consider the ability of transformer-based language models (LLMs) to learn what we call k-antilocal languages, i.e., languages that have no mutual information across any span of $k$ contiguous symbols. We construct such languages with increasing $k$, finding that LLMs trained on them achieve comparable cross-entropy loss regardless of antilocality, but converge more slowly on more antilocal languages. Our findings support the idea that non-local dependencies are more difficult to learn, but the evidence for this bias comes from learning speed rather than learning success.

Abstract:We consider the ability of transformer-based language models (LLMs) to learn what we call k-antilocal languages, i.e., languages that have no mutual information across any span of $k$ contiguous symbols. We construct such languages with increasing $k$, finding that LLMs trained on them achieve comparable cross-entropy loss regardless of antilocality, but converge more slowly on more antilocal languages. Our findings support the idea that non-local dependencies are more difficult to learn, but the evidence for this bias comes from learning speed rather than learning success.

Computation and Language (cs.CL)

arXiv:2608.27760 [cs.CL]

(or arXiv:2608.27760v1 [cs.CL] for this version)

https://doi.org/10.48550/arXiv.2608.27760 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 180 words

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