Loading Now

Summary of Pinnde: Physics-informed Neural Networks For Solving Differential Equations, by Jason Matthews et al.


PinnDE: Physics-Informed Neural Networks for Solving Differential Equations

by Jason Matthews, Alex Bihlo

First submitted to arxiv on: 19 Aug 2024

Categories

  • Main: Machine Learning (cs.LG)
  • Secondary: None

     Abstract of paper      PDF of paper


GrooveSquid.com Paper Summaries

GrooveSquid.com’s goal is to make artificial intelligence research accessible by summarizing AI papers in simpler terms. Each summary below covers the same AI paper, written at different levels of difficulty. The medium difficulty and low difficulty versions are original summaries written by GrooveSquid.com, while the high difficulty version is the paper’s original abstract. Feel free to learn from the version that suits you best!

Summary difficulty Written by Summary
High Paper authors High Difficulty Summary
Read the original abstract here
Medium GrooveSquid.com (original content) Medium Difficulty Summary
A novel open-source Python library called PinnDE is proposed for solving differential equations using physics-informed neural networks (PINNs) and deep operator networks (DeepONets). This library leverages the strengths of both approaches, offering a unified framework for approximating solutions. The summary reviews PINNs and DeepONets, introducing PinnDE’s structure and usage. Worked examples demonstrate the effectiveness of PinnDE in solving differential equations with both PINN-based and DeepONet-based methods.
Low GrooveSquid.com (original content) Low Difficulty Summary
PinnDE is a new tool that helps computers solve difficult math problems called differential equations. It uses two special kinds of artificial intelligence (AI) models: physics-informed neural networks (PINNs) and deep operator networks (DeepONets). These models are great at finding solutions to these math problems. The PinnDE library makes it easy to use both PINNs and DeepONets to solve differential equations, which is useful for many fields like physics, engineering, and computer science.

Keywords

* Artificial intelligence