129 citations · 228 across the 8 of their papers we have counts for
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math.DS2019★ 129 cited
Using Noisy or Incomplete Data to Discover Models of Spatiotemporal Dynamics
Patrick A. K. Reinbold, Daniel R. Gurevich, Roman O. Grigoriev
Sparse regression has recently emerged as an attractive approach for discovering models of spatiotemporally complex dynamics directly from data. In many instances, such models are…
math.DS2019★ 56 cited
Robust and optimal sparse regression for nonlinear PDE models
Daniel R. Gurevich, Patrick A. K. Reinbold, Roman O. Grigoriev
This paper investigates how models of spatiotemporal dynamics in the form of nonlinear partial differential equations can be identified directly from noisy data using a combination…