On Sunday, July 09, 2023, at 7:06 PM, James Bowery wrote:
> So when you mix the phrase "mathematical compression" with "constrained 
> compressor", you're conflating the engine doing the "mathematical 
> compression" with the only thing that is constrained in size:  The compressed 
> model produced by the resource profligate compressor.

Sorry for conflating, I did mean a resource constrained compressor engine 
performing a “mathematical compression” which are two different mathematical 
things. For example, SINDy’s function library, say a particular function needs 
to use prime numbers. The primes can be stored or generated but when they get 
large both get expensive so the resource constraints matter for that particular 
function implementation. The more mathematical intelligence the more effective 
a SINDy-like compressor can be, meaning a larger and more effective function 
library. The dynamical models produced by the different functions is the other 
mathematical aspect I was referring to but I would have to read what SINDy is 
doing there…

John
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