Saturday, February 21, 2015
Fractal dimensionality as a requirement for learning
Under what conditions is self organization possible? What are the constrains on the search space that are needed for exponential rates of increased learning?
While learning may be impossible in an exponentially large multidimensional space, learning may be possible if the interesting points in the space can be compressed to a more compact volume of the space as a starting point for search.
Can the small number of "legal/coherent/valued" points within the space be compressed to a relatively compact fractal volume within a vast expanse of valueless space.
If one of the dimensions used to encode this compressed space was entropy would movement along that dimension appear as time.
Is this pattern observed in the evolution of life?
While learning may be impossible in an exponentially large multidimensional space, learning may be possible if the interesting points in the space can be compressed to a more compact volume of the space as a starting point for search.
Can the small number of "legal/coherent/valued" points within the space be compressed to a relatively compact fractal volume within a vast expanse of valueless space.
If one of the dimensions used to encode this compressed space was entropy would movement along that dimension appear as time.
Is this pattern observed in the evolution of life?
Topics: Self Organization | Morphogenesis
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