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#machine learning Preprint Sep 2026

The Residual Stream's Effective Depth

We introduce \emph{effective depth} ($\Deff$), a scalar diagnostic that treats the layer-wise residual stream of a transformer as a discrete-time process, measures how representation similarity decays with layer distance, and aggregates that profile into one number. Across sixteen decoder-only language models, $\Deff$...

Barak Gahtan, Ido Galil, A. M. Bronstein · 0 citations

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