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This study reveals that neural language models initially rely on geometric categorization for generalization before transitioning toward exemplar-specific memorization as training progresses. The research demonstrates that structured representation spaces supporting unattested combinations emerge immediately, challenging the view that generalization is solely a late-stage phenomenon. These findings provide critical geometric insights into the fundamental learning trajectories of large AI systems.
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Generalization and Memorization along the Learning Trajectory of Neural Language Models: A Geometric Account of Categorization

arXiv2 min read

arXiv:2609.32199v1 Announce Type: new Abstract: We investigate how generalization and memorization develop along the learning trajectory of neural language models. Using controlled synthetic grammars, we examine both the geometry of representation space and model behaviour over training. We find that continuous regions of representation space not occupied by observed tokens become systematically structured from the earliest stages of learning, forming category-level geometric organization that supports generalization to unattested combinations. Generalization therefore emerges from the beginning of learning rather than only after extensive memorization. With prolonged training, larger models increasingly distinguish observed from unobserved grammatical combinations. At the same time, the continuous geometric structure supporting category-level generalization is gradually destructed. Together, these results suggest that neural language models initially learn through categorization-based generalization, followed by a gradual transition toward more exemplar-specific memorization.

Abstract:We investigate how generalization and memorization develop along the learning trajectory of neural language models. Using controlled synthetic grammars, we examine both the geometry of representation space and model behaviour over training. We find that continuous regions of representation space not occupied by observed tokens become systematically structured from the earliest stages of learning, forming category-level geometric organization that supports generalization to unattested combinations. Generalization therefore emerges from the beginning of learning rather than only after extensive memorization. With prolonged training, larger models increasingly distinguish observed from unobserved grammatical combinations. At the same time, the continuous geometric structure supporting category-level generalization is gradually destructed. Together, these results suggest that neural language models initially learn through categorization-based generalization, followed by a gradual transition toward more exemplar-specific memorization.

Computation and Language (cs.CL)

arXiv:2609.32199 [cs.CL]

(or arXiv:2609.32199v1 [cs.CL] for this version)

https://doi.org/10.48550/arXiv.2609.32199 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 221 words

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