187 citations · 227 across the 6 of their papers we have counts for
3 papers · 1 filter
Smoothing and parameter estimation by soft-adherence to governing equations
Samuel Rudy, Steven Brunton, J. Nathan Kutz
The analysis of high-dimensional dynamical systems generally requires the integration of simulation data with experimental measurements. Experimental data often has substantial amo…
Deep learning of dynamics and signal-noise decomposition with time-stepping constraints
Samuel H. Rudy, J. Nathan Kutz, Steven L. Brunton
A critical challenge in the data-driven modeling of dynamical systems is producing methods robust to measurement error, particularly when data is limited. Many leading methods eith…
Data-driven identification of parametric partial differential equations
Samuel Rudy, Alessandro Alla, Steven L. Brunton +1
In this work we present a data-driven method for the discovery of parametric partial differential equations (PDEs), thus allowing one to disambiguate between the underlying evoluti…