Re: [petsc-users] Question about using PETSc to generate matrix preconditioners

[Jed Brown]

I think random matrices will produce misleading results. The chance of randomly 
generating a matrix that resembles an application is effectively zero. I think 
you'd be better off with some model problems varying parameters that control 
the physical regime (e.g., shifts to a Laplacian, advection with/without 
upwinding at varying cell Peclet numbers, varying nondimensional parameters, 
time step, and boundary layers for fluids, varying Poisson ratio and material 
contrast in elasticity).

"Sun, Yixuan via petsc-users"  writes:

> Hello PETSc team,
>
> My name is Yixuan, and I am a postdoc at MCS. We are working on a project 
> where we want to predict the preconditioners from the corresponding matrices. 
> For preliminary exploration purposes, we generated random matrices and their 
> preconditioners using PETSc. The current deep learning models look promising 
> with the generated data. However, we are not sure about the correctness of 
> the data generation code and wanted to ask if you could help check the 
> correctness of our script (< 100 lines) and let us know if there were any 
> issues. Here is the 
> link
>  to the script.
>
> Please let me know if you have any questions or concerns. Thank you in 
> advance!
>
>
> Warm regards,
> Yixuan
> 
> Yixuan Sun
> Postdoctoral Researcher
> Mathematics and Computer Science
> Argonne National Laboratory

[petsc-users] Question about using PETSc to generate matrix preconditioners

[Sun, Yixuan via petsc-users]

Hello PETSc team,

My name is Yixuan, and I am a postdoc at MCS. We are working on a project where 
we want to predict the preconditioners from the corresponding matrices. For 
preliminary exploration purposes, we generated random matrices and their 
preconditioners using PETSc. The current deep learning models look promising 
with the generated data. However, we are not sure about the correctness of the 
data generation code and wanted to ask if you could help check the correctness 
of our script (< 100 lines) and let us know if there were any issues. Here is 
the 
link
 to the script.

Please let me know if you have any questions or concerns. Thank you in advance!


Warm regards,
Yixuan

Yixuan Sun
Postdoctoral Researcher
Mathematics and Computer Science
Argonne National Laboratory