Author

S. Brunton

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Preprint Sep 2026

Physics-Informed Neural Network Surrogates with Polynomial Chaos-Based Uncertainty Propagation for Stochastic Model Predictive Control

An error decomposition is provided for the PINN-PCE surrogate that separates PCE truncation, stochastic quadrature, and PINN approximation errors and it is shown how the surrogate approximation error can be incorporated into tightened probabilistic constraints.

Srimanta Santra, R. Patel, Saikat Mukherjee et al. · 0 citations

Preprint Aug 2026

Data-driven linear analysis of dynamical systems via nonlinearity-subtracted dynamic mode decomposition

The Dynamic Mode Decomposition (DMD) has been consolidated as a basic tool for data-driven analysis of dynamical systems, allowing simultaneous identification of coherent structures and their dynamics from time-resolved measurements. However, with a linear regression at its core, DMD is unable to produce accurate model...

Benjamín Herrmann, Katherine Cao, S. Brunton et al. · 0 citations