# Single State Update Predictive Coding training for Time Series Forecasting and Anomaly Detection > Source: > Published: 2026-08-26 04:00:00+00:00 # Single State Update Predictive Coding training for Time Series Forecasting and Anomaly Detection By Matteo Cardoni, Sam LerouxSource: [arXiv cs.LG](https://arxiv.org/list/cs.LG/recent)arXiv:2608.24697v1 Announce Type: new Abstract: Predictive Coding (PC) is a neural learning paradigm that enables parallelizable [neural network](/glossary/neural-network)layer updates. However, the main bottleneck of PC Networks (PCN) is the sequential backwards error propagation. To tackle this, we introduce a[training](/glossary/training)technique that pairs a Generative PCN with a support Encoding PCN. The two PCNs are trained in parallel to match their neural activations, without sequential propagation. We apply this to time series anomaly detection and show that our approach results in more stable, continuous, online learning.Get AI news in your inbox Daily digest of what matters in AI.