Abstract: The solution of a differential equation contains the forward model and the inverse problem. The finite element method (FEM) and the iterative approach based on FEM are extensively used to ...

This repository allows you to solve forward and inverse problems related to partial differential equations (PDEs) using finite basis physics-informed neural networks (FBPINNs). To improve the ...

Abstract: In this article, an unrolling algorithm of the iterative subspace-based optimization method (SOM) is proposed for solving full-wave inverse scattering problems (ISPs). The unrolling network, ...

Freed from intelligibility and aesthetics, AI designs faster ...

️Flow matching is a recent state-of-the-art framework for generative modeling based on ordinary differential equations (ODEs). While closely related to diffusion models, it provides a more general ...

2 University of Queensland, School of Population Health and Queensland Children's Medical Research Institute 3 University of Queensland, School of Population Health and University of Washington, ...

Clarkson University researchers have developed an artificial intelligence tool that can uncover the mathematical equations ...

What’s the secret to prompting an AI to solve math problems that have left humans stumped? Tell it to believe in itself ...

This requires an algorithm: students are taught to stack one number atop another and multiply each digit of the bottom number ...

How can you have a proof without proving anything? Mathematicians found a way and, in the process, came to blows over it – ...

For more than a century, physicists debated which way a submerged sprinkler sucking in water would spin. Careful experiments ...

Each summer, lawns are marked by a familiar addition: "silly sprinklers," whose loops and spirals spew water in creative ways ...