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Backprop Alternative: Augmented Lagrangian Predictive Coding

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Hacker News | Sep 14, 2026 | guld

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Compared to PC, PC-ALM introduces dual neurons (Lagrange multipliers) per layer, making each layer's local recurrence a PI feedback controller. Performance differences between PC and PC-ALM become apparent in deep-narrow networks. PC-ALM: a local learning method for training 1000-layer neural networks PC-ALM successfully trains 1000-layer MLPs on MNIST. PC-ALM consistently narrows the gap between standard PC and global backprop. Credit magnitude across layers during inference.

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