[x3d-public] Deep Learning AI solves PDEs and Navier-Stokes in Fourier space

[Don Brutzman]

On 11/11/2020 11:36 PM, John Carlson wrote:
> https://www.technologyreview.com/2020/10/30/1011435/ai-fourier-neural-network-cracks-navier-stokes-and-partial-differential-equations

neural nets cannot "solve" partial differential equations.  a complex NN surface might approximate a mathematical surface but has no way to tell you when it's pattern matching attempts are incorrect.

adapting a quote from Richard Hamming: i have no desire to fly in an airplane that depends on such solutions to remain airborne.

btw MIT Tech Review apparently wants personal information before reading.  no thanks.
  
> Can we subclass VolumeRendering API to include solutions for Navier-Stokes PDEs?

no.  but an application might use any part of X3D to visualize any kind of solution for such partial differential equations.

> Is this something d3-x3d is interested in?  James?

another worthy path forward would be encouraging the major math programs (Mathworks et al.) to continue improving their X3D export.

thanks John.

all the best, Don
-- 
Don Brutzman  Naval Postgraduate School, Code USW/Br       brutzman at nps.edu
Watkins 270,  MOVES Institute, Monterey CA 93943-5000 USA   +1.831.656.2149
X3D graphics, virtual worlds, navy robotics http://faculty.nps.edu/brutzman