Informational Antilocality and the Locality Bias in LLMs
Andrew McInnerney, Shane Storks, Steven Abney, Richard L. Lewis
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.
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