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Megaball prediction
Because of the limited draw data set size and high noise, it's very difficult to ascertain whether there is any signal in the past data that can be used to predict future draws.
I've found a method, using only past draw information, to correctly predict the next Megaball draw at 8.07% (N = Number of tests = 322). The expected prediction match with uniform random guessing is 4%.
No training cheating (other than adjusting two time length/window parameters).
I have found no method that
May 4, 2023, 11:49 pm - Wavepack - Mathematics Forum
Weird trees
You got it right. As you guessed, it's an eigenvalue and eigenvector problem from a linear algebra book. Several ways you can do it. For example, if you notice that the system has a steady state, you can get the answer with middle school math as you did.
It could also be set up as a system of recurrence relations:
G(n) = (4/5)*G(n-1) + (1/3)*R(n-1)
Y(n) = (1/2)*Y(n-1) + (1/5)*G(n-1)
R(n) = 100 - G(n) - Y(n)
with characteristic polynomial x^3 - (59/30)x^2 + (19/15)x - 3/10 = 0
Feb 7, 2023, 4:25 pm - cottoneyedjoe - Mathematics Forum