Analyzing Residual Write-back: Why Use 2 x Sigmoid for Initialization?

stochasticchasm · x · 2026-08-28

A technical analysis of a model's residual write-back operation suggests that the coefficient 2 is for initialization dynamics: since sigmoid(0)=0.5 and init is zero-centered, 2 x sigmoid is needed for normal scale writeback. The discussion also touches upon the absence of \overline{R} and the importance of Group-RMSNorm.

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