←Back to NewsAI News/Post TrainingnewsPost TrainingTraining InfraSakana AI's PC-ALM Trains 1,000-Layer Networks Without BackpropagationSakana AI's PC-ALM adds Lagrange multipliers to predictive coding, training 1000-layer networks with only layer-local dynamics and no backpropagation.SourceSakana AIPublishedSep 14, 2026, 12:00 PMAuthorAlphaSignal NewsroomRead1 min readSakana AI's PC-ALM adds Lagrange multipliers to predictive coding, training 1000-layer networks with only layer-local dynamics and no backpropagation.Reporting is indexed from AlphaSignal. Rights remain with the original publisher and cited sources.Read original report ↗Next readsAlphaSignal · paperCUHK's NoRA Fixes LoRA's Hidden Gradient Gap With one LinevLLM · newsNovaSky's IsoExec Fixes the Hidden Math Bug Corrupting AI Training RunsGoodfire · newsGoodfire Catches AI Models Cheating in 96% of Benchmark Runs
