Interpretable Polynomial Neural Ordinary Differential Equations

9 August 2022

Papers citing "Interpretable Polynomial Neural Ordinary Differential Equations"

13 / 13 papers shown

Title
Training Stiff Neural Ordinary Differential Equations with Explicit Exponential Integration Methods Colby Fronk Linda R. Petzold 63 2 0 02 Dec 2024
Training Stiff Neural Ordinary Differential Equations with Implicit Single-Step Methods Colby Fronk Linda R. Petzold 24 4 0 08 Oct 2024
Expressive Symbolic Regression for Interpretable Models of Discrete-Time Dynamical Systems Adarsh Iyer N. Boddupalli Jeff Moehlis 21 0 0 05 Jun 2024
Polynomial-Augmented Neural Networks (PANNs) with Weak Orthogonality Constraints for Enhanced Function and PDE Approximation Madison Cooley Shandian Zhe Robert M. Kirby Varun Shankar 54 1 0 04 Jun 2024
ClimODE: Climate and Weather Forecasting with Physics-informed Neural ODEs Yogesh Verma Markus Heinonen Vikas K. Garg AI4CE 21 26 0 15 Apr 2024
Statistical Mechanics and Artificial Neural Networks: Principles, Models, and Applications Lucas Böttcher Gregory R. Wheeler 30 0 0 05 Apr 2024
Control of Medical Digital Twins with Artificial Neural Networks Lucas Böttcher Luis L. Fonseca Reinhard C. Laubenbacher AI4CE 21 4 0 18 Mar 2024
Multilinear Operator Networks Yixin Cheng Grigorios G. Chrysos Markos Georgopoulos V. Cevher 24 7 0 31 Jan 2024
AI-Lorenz: A physics-data-driven framework for black-box and gray-box identification of chaotic systems with symbolic regression Mario De Florio Ioannis G. Kevrekidis George Karniadakis 41 15 0 21 Dec 2023
Interpretable Neural PDE Solvers using Symbolic Frameworks Yolanne Yi Ran Lee AI4CE 29 0 0 31 Oct 2023
Bayesian polynomial neural networks and polynomial neural ordinary differential equations Colby Fronk Jaewoong Yun Prashant Singh Linda R. Petzold BDL 16 4 0 17 Aug 2023
TMPNN: High-Order Polynomial Regression Based on Taylor Map Factorization Andrei Ivanov Stefan Maria Ailuro 16 1 0 30 Jul 2023
Neural Astrophysical Wind Models Dustin D. Nguyen 16 2 0 20 Jun 2023