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Backprop Alternative: Augmented Lagrangian Predictive Coding

Augmented Lagrangian Predictive Coding: training 1000-layer networks without backpropagation

pub.sakana.ai

September 14, 2026

24 min read

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53/100

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...

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Hacker News · pub.sakana.ai

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