1. A method for recognizing mixed speech from a source, comprising: training a first neural network to recognize a speech signal spoken by a speaker with a higher level of a speech characteristic from a mixed speech sample; training a second neural network to recognize a speech signal spoken by a speaker with a lower level of the speech characteristic from the mixed speech sample; and decoding the mixed speech sample with the first neural network and the second neural network by optimizing the joint likelihood of observing the two speech signals.