S Sakana AI company blog

Backprop Alternative: Augmented Lagrangian Predictive Coding

pub.sakana.ai

A local alternative to backpropagation. PC-ALM trains residual MLPs up to 1000 layers, nearly matching backprop's performance despite using only layer-local dynamics. PC-ALM equips each layer with a feedback control dynamical system that distributes and propagates supervision credit throughout a network.

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AI & Machine LearningMath & Algorithms2026

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