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Paper · arXiv

Faster Query-Key Learning Sharpens Attention in Self-Attention Models

A standard self-attention layer consists of two interacting circuits: the query-key circuit that governs attention allocation, and the output-value circuit that maps attended representations to predictions. Collapsed and factorized parameterizations of the query-key and output-value circuits lead to qualitatively different attention patterns. In particular, some parameterizations give sharper attention to task-relevant tokens, at a similar training loss. We analyze how the parameterizations of these circuits shape the parameter trajectories in single-layer self-attention models trained for next-token prediction. Through gradient-flow analysis, we show that factorization induces implicit r...

AuthorsRahul Vashisht, Harish G. Ramaswamy
Primary categorycs.LG
Published7 August 2026
Last updated at source7 August 2026
cs.LG
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