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katastrofa
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Joined: August 16th, 2007, 5:36 am
Location: Event Horizon

Re: Are Artificial Intelligence methods (AKA Neural Networks) for PDEs about to rediscover the wheel ?

December 17th, 2019, 1:39 pm

Machines are better and cheaper.
 
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Cuchulainn
Posts: 22927
Joined: July 16th, 2004, 7:38 am

Re: Are Artificial Intelligence methods (AKA Neural Networks) for PDEs about to rediscover the wheel ?

December 17th, 2019, 7:53 pm

I must say I have a bit of nostalgia for 60 bit supercomputers. I used it to simulate city heating Waterhammer (1st order pde (6), (7)) for The Hague a while back. Punch cards, real line printers, Fortran 66(IV).

It might come back again seeing that gas, wood and oil heating will be banned soon. Now what did I do with those punch cards.


https://www.win.tue.nl/analysis/reports/rana04-34.pdf

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JohnLeM
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Posts: 379
Joined: September 16th, 2008, 7:15 pm

Re: Are Artificial Intelligence methods (AKA Neural Networks) for PDEs about to rediscover the wheel ?

December 18th, 2019, 5:49 pm

I must say I have a bit of nostalgia for 60 bit supercomputers. I used it to simulate city heating Waterhammer (1st order pde (6), (7)) for The Hague a while back. Punch cards, real line printers, Fortran 66(IV).

It might come back again seeing that gas, wood and oil heating will be banned soon. Now what did I do with those punch cards.


https://www.win.tue.nl/analysis/reports/rana04-34.pdf

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I want that laptop for christmas !
 
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Cuchulainn
Posts: 22927
Joined: July 16th, 2004, 7:38 am

Re: Are Artificial Intelligence methods (AKA Neural Networks) for PDEs about to rediscover the wheel ?

December 18th, 2019, 8:56 pm

And the crash barriers? They're extra.
 
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Cuchulainn
Posts: 22927
Joined: July 16th, 2004, 7:38 am

Re: Are Artificial Intelligence methods (AKA Neural Networks) for PDEs about to rediscover the wheel ?

April 19th, 2023, 1:01 pm

Time to move on from ANN drama?

This paper is their 10th attempt..


https://www.researchgate.net/publicatio ... _Equations

Meshuggah

Insanity Is Doing the Same Thing Over and Over Again and Expecting Different Results
 
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JohnLeM
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Posts: 379
Joined: September 16th, 2008, 7:15 pm

Re: Are Artificial Intelligence methods (AKA Neural Networks) for PDEs about to rediscover the wheel ?

April 19th, 2023, 1:10 pm

Time to move on from ANN drama?

This paper is their 10th attempt..


https://www.researchgate.net/publicatio ... _Equations

Meshuggah

Insanity Is Doing the Same Thing Over and Over Again and Expecting Different Results
Yep, it is really painful to read that again and again :/
 
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Cuchulainn
Posts: 22927
Joined: July 16th, 2004, 7:38 am

Re: Are Artificial Intelligence methods (AKA Neural Networks) for PDEs about to rediscover the wheel ?

April 19th, 2023, 6:49 pm

What were the top FIVE incorrect implicit assumptions?

#1 UAT == Holy Grenade of Antioch.

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Cuchulainn
Posts: 22927
Joined: July 16th, 2004, 7:38 am

Re: Are Artificial Intelligence methods (AKA Neural Networks) for PDEs about to rediscover the wheel ?

April 19th, 2023, 6:57 pm

Basing approximation on Measure Theory and Legesgue Integral is wakky.

viewtopic.php?f=34&t=100821