
pub.sakana.ai
September 14, 2026
24 min read
47/100
Summary
Augmented Lagrangian Predictive Coding Training 1000-layer networks without backpropagation We introduce PC-ALM, 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 thr...