3 papers
cs.LG2025
Conditioning on PDE Parameters to Generalise Deep Learning Emulation of Stochastic and Chaotic Dynamics
Ira J. S. Shokar, Rich R. Kerswell, Peter H. Haynes
We present a deep learning emulator for stochastic and chaotic spatio-temporal systems, explicitly conditioned on the parameter values of the underlying partial differential equati…
cs.LG2025
Deep Learning of the Evolution Operator Enables Forecasting of Out-of-Training Dynamics in Chaotic Systems
Ira J. S. Shokar, Peter H. Haynes, Rich R. Kerswell
We demonstrate that a deep learning emulator for chaotic systems can forecast phenomena absent from training data. Using the Kuramoto-Sivashinsky and beta-plane turbulence models,…
cs.LG2023
Stochastic Latent Transformer: Efficient Modelling of Stochastically Forced Zonal Jets
Ira J. S. Shokar, Rich R. Kerswell, Peter H. Haynes
We present a novel probabilistic deep learning approach, the 'Stochastic Latent Transformer' (SLT), designed for the efficient reduced-order modelling of stochastic partial differe…