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Huu-Tuan Nguyen

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#artificial intelligence Jun 2026

The Discrete-Log Clock: How a Transformer Learns Modular Multiplication

The transformer reduces multiplication to addition in discrete-log space, implementing a "Discrete-Log Clock" algorithm analogous to Nanda et al.'s Clock algorithm for addition, which generalizes: matching the analysis basis to the algebraic structure of the task reveals interpretable structure where standard tools see noise.

Huu-Tuan Nguyen · arXiv.org · 0 citations