Automatic Differentiation to Simultaneously Identify Nonlinear Dynamics
and Extract Noise Probability Distributions from Data

Automatic Differentiation to Simultaneously Identify Nonlinear Dynamics and Extract Noise Probability Distributions from Data

12 September 2020

Kadierdan Kaheman

Steven L. Brunton

Papers citing "Automatic Differentiation to Simultaneously Identify Nonlinear Dynamics and Extract Noise Probability Distributions from Data"

9 / 9 papers shown

Title
Learning noise-induced transitions by multi-scaling reservoir computing Zequn Lin Zhaofan Lu Zengru Di Ying Tang 33 4 0 11 Sep 2023
Discovering Causal Relations and Equations from Data Gustau Camps-Valls Andreas Gerhardus Urmi Ninad Gherardo Varando Georg Martius E. Balaguer-Ballester Ricardo Vinuesa Emiliano Díaz L. Zanna Jakob Runge PINN AI4Cl AI4CE CML 40 73 0 21 May 2023
Multiphysics discovery with moving boundaries using Ensemble SINDy and Peridynamic Differential Operator A. Bekar E. Haghighat E. Madenci AI4CE 24 2 0 27 Mar 2023
Investigating Sindy As a Tool For Causal Discovery In Time Series Signals Andrew O'Brien Rosina O. Weber Edward J. Kim CML 35 6 0 29 Dec 2022
Discrepancy Modeling Framework: Learning missing physics, modeling systematic residuals, and disambiguating between deterministic and random effects Megan R. Ebers K. Steele J. Nathan Kutz 37 15 0 10 Mar 2022
A Priori Denoising Strategies for Sparse Identification of Nonlinear Dynamical Systems: A Comparative Study A. Cortiella K. Park Alireza Doostan 19 15 0 29 Jan 2022
Discovery of interpretable structural model errors by combining Bayesian sparse regression and data assimilation: A chaotic Kuramoto-Sivashinsky test case R. Mojgani Ashesh Chattopadhyay Pedram Hassanzadeh 27 15 0 01 Oct 2021
DySMHO: Data-Driven Discovery of Governing Equations for Dynamical Systems via Moving Horizon Optimization F. Lejarza M. Baldea AI4CE 27 38 0 30 Jul 2021
Time-lagged autoencoders: Deep learning of slow collective variables for molecular kinetics C. Wehmeyer Frank Noé AI4CE BDL 111 356 0 30 Oct 2017