Search Results for author: Robert Stephany

Found 4 papers, 4 papers with code

Weak-PDE-LEARN: A Weak Form Based Approach to Discovering PDEs From Noisy, Limited Data

1 code implementation9 Sep 2023 Robert Stephany, Christopher Earls

We introduce Weak-PDE-LEARN, a Partial Differential Equation (PDE) discovery algorithm that can identify non-linear PDEs from noisy, limited measurements of their solutions.

Learning the Delay Using Neural Delay Differential Equations

1 code implementation3 Apr 2023 Maria Oprea, Mark Walth, Robert Stephany, Gabriella Torres Nothaft, Arnaldo Rodriguez-Gonzalez, William Clark

The intersection of machine learning and dynamical systems has generated considerable interest recently.

PDE-LEARN: Using Deep Learning to Discover Partial Differential Equations from Noisy, Limited Data

1 code implementation9 Dec 2022 Robert Stephany, Christopher Earls

In this paper, we introduce PDE-LEARN, a novel deep learning algorithm that can identify governing partial differential equations (PDEs) directly from noisy, limited measurements of a physical system of interest.

PDE-READ: Human-readable Partial Differential Equation Discovery using Deep Learning

2 code implementations1 Nov 2021 Robert Stephany, Christopher Earls

We introduce a new approach for PDE discovery that uses two Rational Neural Networks and a principled sparse regression algorithm to identify the hidden dynamics that govern a system's response.

regression

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