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Paper · arXiv

Pattern Formation in Transformers

What are the inductive biases of a Transformer architecture? Existing theory on how the forward pass shapes representations either considers whether Transformers escape from rank collapse or demonstrates that self-attention drives tokens toward cluster patterns. The latter view arises from an elegant dynamical systems perspective, but relies on simplified architectural assumptions, and does not explain the rich structures observed in practice. This leaves a major open question: when a full Transformer escapes rank collapse, how does it structure token representations? Using pattern-formation theory, we show that the dynamical view of Transformers can account for Positional Encoding, Multi...

AuthorsErkan Turan, Gaspard Abel, Maks Ovsjanikov
Primary categorycs.LG
Published29 September 2026
Last updated at source29 September 2026
cs.LG
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