Second order questions (i.e. get a really good machine): What is the minimal difference in input needed for class A to be recognized as class B? What the (an) i

Second order questions (i.e. get a really good machine): What is the minimal difference in input needed for class A to be recognized as class B? What the (an) input closest to all classes and what is the distance to each? Are there weights for this smaller NN that remain equivalent to the given NN?