Review Residuals: Update-Conditioned Residual Gating for Transformers

Kyle Kramer
6/30/2026
cs.LGcs.CL

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Abstract

Residual connections add every sublayer's proposed update with a fixed coefficient of one; the network never evaluates whether an update is reliable before committing it. Drawing on the human-factors principle of independent verification, we introduce Review Residuals, which scale each update by a learned, input-dependent gate conditioned on both the current state and the proposed update: h_l = h_{l-1} + r_l * u_l with r_l = sigmoid(W[RMSNorm(h_{l-1}), RMSNorm(u_l)]). Conditioning the gate on the update is the property that distinguishes it from prior gated and scaled residuals. We report two findings. First, a depth-stability result: a convex (Highway-style) form of the gate reintroduces vanishing gradients and fails to train beyond ~20 layers, whereas the additive, identity-preserving form trains stably at all depths we tested. Second, an emergence-with-scale result: trained from scratch across five sizes (60M-1B parameters, multi-seed), Review Residuals show no advantage at small scale but at 590M significantly outperform both a parameter-matched Highway gate and a parameter-matched standard residual (p<0.05), with a larger advantage at 1B. The benefit grows with model size rather than shrinking.

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Cite this paper

@article{kramer2026review,
  title  = {Review Residuals: Update-Conditioned Residual Gating for Transformers},
  author = {Kyle Kramer},
  year   = {2026},
  eprint = {2606.31859},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2606.31859v1}
}

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