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Paper · arXiv

Where Grokking Happens: Distributed Utility and Fourier Recoding Without a Module Switch

Where in a Transformer is the change from memorization to generalization functionally expressed? We introduce Transition Games--behavior-aligned exact activation games with paired non-generalizing controls--and find distributed utility gain with a prospective block-0 attention bias; selected degree-two modes account for 67--92% of its addition contrast across replacement games, and a disjoint exact path study confirms that block-1 MLP mediates more of their effect than all other tested downstream paths in 12/12 pairs. The sharper "MLP memorizes, attention generalizes" prediction instead reverses (-.331 bits/example at the memory anchor; 0/12 in the predicted direction), while routing onse...

AuthorsDekun Yang
Primary categorycs.LG
Published29 July 2026
Last updated at source29 July 2026
cs.LGcs.AI
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