no code implementations • 14 May 2024 • Ali Forootani, Peter Benner
In this paper, we extend the results of a SINDy based deep learning model discovery (DeePyMoD) approach by integrating greedy sampling technique in its data collection unit and new sparsity promoting algorithms in the least squares minimization unit.
no code implementations • 13 Sep 2023 • Ali Forootani, Pawan Goyal, Peter Benner
To do this, we make use of neural networks to learn an implicit representation based on measurement data so that not only it produces the output in the vicinity of the measurements but also the time-evolution of output can be described by a dynamical system.