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This does not feel radical enough

This does not feel radical enough

Posted Jul 19, 2025 15:12 UTC (Sat) by Wol (subscriber, #4433)
In reply to: This does not feel radical enough by DemiMarie
Parent article: Reinventing the Python wheel

> because even tiny differences in the inputs to the simulation would also cause divergence.

But do they? Depends on the chaos!

Some chaotic structures diverge rapidly with small differences in the inputs. Others (it's called a "strange attractor" iirc) find it very hard to break away from a stable pattern. Your high-pressure summer weather system that resolutely refuses to move is one of these.

Cheers,
Wol


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This does not feel radical enough

Posted Jul 19, 2025 21:09 UTC (Sat) by kleptog (subscriber, #1183) [Link]

Sure, but it's usually fairly straight-forward to determine whether a model is stable or not. If your model isn't stable then the results are going to be suspect no matter what you do.

And there's a whole branch of mathematics about how to fix algorithms to improve numerical stability. Floating point numbers on computer have properties that mean you sometimes you won't get the answer you hope with a naive implementation.


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