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Katy Blumer

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#artificial intelligence Preprint Oct 2026

Asymptotic Behavior of Transformers

It is shown that even a three-token, single-layer attention-only transformer can fail to converge, and that, while each transformer has a temperature threshold, the supremum of this set is infinite, so there is no global minimal temperature that forces all transformers to converge.

Katy Blumer, Da-Cheng Juan, Jon M. Kleinberg et al. · 0 citations

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