A method for and system for training a connection network located between neuron layers within a multi-layer physical neural network. A multi-layer physical neural network can be formed having a plurality of inputs and a plurality outputs thereof, wherein the multi-layer physical neural network comprises a plurality of layers, wherein each layer comprises one or more connection networks and associated neurons. Thereafter, a training wave can be initiated across the connection networks associated with an initial layer of the multi-layer physical neural network which propagates thereafter through succeeding connection networks of succeeding layers of the neural network by successively closing and opening switches associated with each layer. One or more feedback signals thereof can be automatically provided to strengthen or weaken nano-connections associated with each connection network.