Papers › Spacetime Autoencoders Using Local Causal States

Spacetime Autoencoders Using Local Causal States

12 Oct 2020arXiv:2010.05451archive 2025-07-28

Adam Rupe, James P. Crutchfield

Local causal states are latent representations that capture organized pattern and structure in complex spatiotemporal systems. We expand their functionality, framing them as spacetime autoencoders. Previously, they were only considered as maps from observable spacetime fields to latent local causal state fields. Here, we show that there is a stochastic decoding that maps back from the latent fields to observable fields. Furthermore, their Markovian properties define a stochastic dynamic in the latent space. Combined with stochastic decoding, this gives a new method for forecasting spacetime fields.

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