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Paper · arXiv

Looped Transformers with Source-Centered State Evolution

Looped Transformers create a useful train- and test-time compute axis by reusing the same Transformer block over recurrent depth, increasing effective depth at a fixed parameter count. However, that shared block must then govern an entire trajectory of varying hidden states over trained and extrapolated depths. Furthermore, in additive-injection looped Transformers, an input-conditioned signal is reintroduced at every recurrent step, so applying the shared transition at an input-conditioned reference can still move the hidden state. In this paper, we propose Source-Centered State Evolution (SCSE), which is designed to reconcile input conditioning with reference-preserving shared recurrenc...

AuthorsBum Jun Kim, Kohei Hayashi, Shunsuke Kamiya et al.
Primary categorycs.LG
Published30 July 2026
Last updated at source30 July 2026
cs.LGcs.CL
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