cs.CLAug 27, 2026

Informational Antilocality and the Locality Bias in LLMs

Authors: Andrew McInnerney, Shane Storks, Steven Abney, Richard L. Lewis

Organizations: University of Michigan · Eastern Michigan University

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 kk contiguous symbols. We construct such languages with increasing kk, 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.

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