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Paper · arXiv

When Symbol Names Should Not Matter: A Logistic Theory of Fresh-Symbol Classification

Template tasks have emerged as a clean testbed for asking whether transformers reason with abstract symbols rather than concrete token names. We study the fixed-label classification version of this problem, where train and test examples share latent templates but may use disjoint vocabularies. Unlike next-token prediction, the model need not emit unseen symbols; it must learn a decision rule invariant to symbol renaming. We analyze regularized kernel logistic classification in the transformer-kernel regime. Our main result decomposes the learned predictor into an ideal template-level classifier and a finite-sample perturbation caused by accidental token overlaps in the training data. We e...

AuthorsWenjie Guan, Jelena Bradic
Primary categorycs.LG
Published8 May 2026
Last updated at source8 May 2026
cs.LGstat.ML
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