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This research investigates how Transformer models, specifically GPT-2, adaptively pool information from similar contexts to handle infrequent scenarios, drawing parallels between this behavior and hierarchical regression techniques. The study identifies a specific training "sweet spot" where the model's context pooling mechanism most closely mimics statistical best practices before diminishing with further over-training. This work advances our theoretical understanding of how large language models generalize across varying levels of data frequency without relying on explicit external knowledge bases.
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Transformers perform adaptive partial pooling

arXiv2 min read

arXiv:2602.03980v2 Announce Type: replace-cross Abstract: Any language model must decide what to say in novel contexts based on information from similar contexts. But what about contexts that are not novel but merely infrequent? In hierarchical regression, the model's predictions for behavior in a context are affected by observations from similar contexts to the extent that 1) the current context is infrequent and 2) different contexts behave similarly. This is called adaptive partial pooling. This paper shows that next-word predictions of a transformer (GPT2) are affected by observations from outside the current context, but this pooling reduces with more training. Pooling is affected by context frequency, context number (type frequency) and context variability in a qualitatively similar way to hierarchical regression. However, there is a "sweet spot" in training at which the transformer best matches the behavior of hierarchical regression. This is the point at which the effect of context frequency on pooling is at maximum.

Abstract:Any language model must decide what to say in novel contexts based on information from similar contexts. But what about contexts that are not novel but merely infrequent? In hierarchical regression, the model's predictions for behavior in a context are affected by observations from similar contexts to the extent that 1) the current context is infrequent and 2) different contexts behave similarly. This is called adaptive partial pooling. This paper shows that next-word predictions of a transformer (GPT2) are affected by observations from outside the current context, but this pooling reduces with more training. Pooling is affected by context frequency, context number (type frequency) and context variability in a qualitatively similar way to hierarchical regression. However, there is a "sweet spot" in training at which the transformer best matches the behavior of hierarchical regression. This is the point at which the effect of context frequency on pooling is at maximum.

Computation and Language (cs.CL); Artificial Intelligence (cs.AI)

arXiv:2602.03980 [cs.CL]

(or arXiv:2602.03980v2 [cs.CL] for this version)

https://doi.org/10.48550/arXiv.2602.03980 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 246 words

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