A neural network comprising multiple neurons including a subset of neurons comprising a majority of the multiple neurons, wherein each neuron of the subset of neurons has upstream neurons and downstream neurons connected through connections in a manner such that the connections for each neuron to other neurons are unconstrained within defined limits so that a relationship between consecutive processing layers is non-isomorphic and amorphous and is capable of at least one of learning information and outputting learned information, wherein each neuron in the subset of neurons has input connections and the input connections to the each neuron are stochastically distributed to upstream neurons at multiple upstream depths.