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capixbig[#,500]&/@Table[CARuleMutation[{174406540811845030173806060892689024140,4,1}],30]
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capixbig[#,800]&/@Table[CARuleMutation[{174406540811845030173806060892689024140,4,1}],30]
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Overall structure
Overall structure
Most of the possible mutations lead to worse outcomes. But occasionally there’s one with a better outcome.
Altogether there are k^k^s rules ... with k^s dimensions
Overall structure is a hypercube [ what about with k > 2? ]
Can color the hypercube with the loss at each node.
Random paths through the hypercube
Random paths through the hypercube
Local environment around a node
Local environment around a node
So there is one “way down” in this set....
In general, look at the “geodesic ball” around a given node....
In general, look at the “geodesic ball” around a given node....
[[ Picking the pure steepest descent at each step doesn’t seem to work ]]
At each step, indicate which branch was taken......