• April 14, 2021, 04:17:48 PM

Login with username, password and session length

Author Topic:  Machine learning amazing ability to predict chaos  (Read 626 times)

0 Members and 1 Guest are viewing this topic.

Offline Fraktalist

  • Strange Attractor
  • Administrator
  • *******
  • Posts: 1184
Machine learning amazing ability to predict chaos
« on: April 22, 2018, 01:19:51 PM »
https://www.wired.com/story/machine-learnings-amazing-ability-to-predict-chaos/

Linkback: https://fractalforums.org/index.php?topic=1251.0

Online claude

  • 3f
  • ******
  • Posts: 1829
    • mathr.co.uk
Re: Machine learning amazing ability to predict chaos
« Reply #1 on: April 24, 2018, 01:32:27 AM »
Impressive, but as far as I can tell they are training and testing with perfect (noiseless) data that would not be present in real-world applications like weather forecasting.

Also the networks seem to be quite large, around 1600 nodes per input grid cell.  I don't know machine learning so maybe that's normal, but I have heard of overfitting.... (and heard audio examples of it).

Offline gerrit

  • 3f
  • ******
  • Posts: 2396
Re: Machine learning amazing ability to predict chaos
« Reply #2 on: April 24, 2018, 03:28:03 AM »
I guess "all" it does is learn a function, in this case that particular PDE from input-output, which is very good of course.
The connection with chaos seems a bit vague; if it learns a chaotic equation its output will be chaotic, i.e., sensitive dependency on initial conditions, hence no weather forecasting. But I guess the idea is we don't know the "weather equation" so it could figure it out. But if it's chaotic there can still be no long term prediction.
The 8 Lyapunov times stuff means I think it computes to an accuracy of \( e^{-8} \approx 0.03\% \).

It would be fun to apply some machine learning (NN) method to say the Mandelbrot set, giving it pairs of (c iterations) and see what it comes up with.
I would guess just an interpolation of the examples without any new features, but maybe you can do something smarter.

Thinking of the recent success of alpha-0 in unsupervised learning of chess, maybe you can do the reverse and make some scheme to learn underlying rules from examples. Say you give it many pictures and try to find an equation that would produce these pictures in some way analogous to M-set algorithms.

Maybe...


xx
[Feature Request] Ability to render only z- buffer image

Started by Salol on Mandelbulb3d

0 Replies
361 Views
Last post January 30, 2018, 06:55:59 AM
by Salol
xx
A Crazy Idea - The Ability to Make Any Image A Fractal And Then Hybridize It.

Started by Tas_mania on Mandelbulber

5 Replies
815 Views
Last post November 05, 2017, 03:51:20 AM
by Tas_mania
xx
Amazing Surf 2 panels

Started by 1bryan1 on Fractal Image Gallery

0 Replies
262 Views
Last post April 13, 2018, 08:49:40 AM
by 1bryan1
xx
Kali's Amazing Surface

Started by 3DickUlus on Fractal Image Gallery

0 Replies
462 Views
Last post April 06, 2018, 02:07:41 AM
by 3DickUlus
xx
Amazing Underwater Object tutorial

Started by timemit on Fractal Image Gallery

0 Replies
352 Views
Last post October 29, 2017, 01:20:20 PM
by timemit