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Paper · arXiv

A mathematical theory of balancing relational generalization and memorization

Humans, animals, and modern machine learning models exhibit impressive abilities to learn complex behaviors and generalize these behaviors to unseen situations. This ability requires us to learn rules and regularities that allow for such generalizations. At the same time, in most complex environments, any rule will have its exceptions. How do learning systems balance between learning general regularities and memorizing exceptions? We argue that a lack of task paradigms has hindered the study of this essential ability. To address this gap, we introduce a novel task, transitive inference with exceptions, that tests for relational generalization and memorization of an exception to the relati...

AuthorsLuke Cheng, Samuel Lippl
Primary categorycs.LG
Published21 May 2026
Last updated at source21 May 2026
cs.LGcs.AI
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