Minimal parameter system approximation

Reply #2

Wavepack — Sat, 30 Sep 2023 22:27:46 GMT

Any nonlinear time-discretized system can be modeled this way. x i is the time sampled phase space trajectory that the system takes. Physicists like to call it phase space, engineers like to call it state space, same thing.

BTW, my conjecture is related to Kolmogorov complexity.

Reply #1

hypersoniq — Fri, 29 Sep 2023 16:20:52 GMT

IFS is used in Python for generating fractals. What is the process for generating a pick with this

Minimal parameter system approximation

Wavepack — Fri, 08 Sep 2023 14:19:46 GMT

Given the last N lotto draws, D i i = 1..N, determine the IFS (iterative function system), x i+1 = f(x i ), D i = g(x i ), which generates Di with minimal B f , B f = number of bits needed to specify the parameters in f(x) and g(x). f(x) and g(x) can be any combination of any operators.

If you restrict f(x) and g(x) to be linear, then this is equivalent to finding the minimal state discrete linear system which duplicates the output.

I conjecture that this minimal parameter iterative func... [ More ]