Search Results for author: Ali Forootani

Found 2 papers, 0 papers with code

GN-SINDy: Greedy Sampling Neural Network in Sparse Identification of Nonlinear Partial Differential Equations

no code implementations14 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.

Model Discovery

A Robust SINDy Approach by Combining Neural Networks and an Integral Form

no code implementations13 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.

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