37 citations · 40 across the 3 of their papers we have counts for
3 papers
Building symmetries into data-driven manifold dynamics models for complex flows: application to two-dimensional Kolmogorov flow
Carlos E. Pérez De Jesús, Alec J. Linot, Michael D. Graham
Data-driven reduced-order models of the dynamics of complex flows are important for tasks related to design, understanding, prediction, and control. Many flows obey symmetries, and…
Autoencoders for discovering manifold dimension and coordinates in data from complex dynamical systems
Kevin Zeng, Carlos E. Pérez De Jesús, Andrew J. Fox +1
While many phenomena in physics and engineering are formally high-dimensional, their long-time dynamics often live on a lower-dimensional manifold. The present work introduces an a…
Data-driven low-dimensional dynamic model of Kolmogorov flow
Carlos E. Pérez De Jesús, Michael D. Graham
Reduced order models (ROMs) that capture flow dynamics are of interest for decreasing computational costs for simulation as well as for model-based control approaches. This work pr…