Single State Update Predictive Coding training for Time Series Forecasting and Anomaly Detection

Matteo Cardoni, Sam Leroux
8/25/2026
cs.LGcs.NE

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Abstract

Predictive Coding (PC) is a neural learning paradigm that enables parallelizable 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 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.

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@article{cardoni2026single,
  title  = {Single State Update Predictive Coding training for Time Series Forecasting and Anomaly Detection},
  author = {Matteo Cardoni and Sam Leroux},
  year   = {2026},
  eprint = {2608.24697},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2608.24697v1}
}

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