User assisted separation using tensor factorisations

Recent research has demonstrated that user assisted techniques, where the user provides a “guide” version of the source to be separated, are capable of giving good sound source separation. Here the user sings or plays along with the target source, and the user input is used to guide the separation towards the source of interest. This is typically done in a factorisation framework, such as non-negative matrix factorisation. Here we extend such approaches to a tensor factorisation framework to deal with multichannel signals. Further, we demonstrate how this framework can be used to improve the output from other user assisted techniques, such as the Adress algorithm, where the user manually selects a region from the stereo space corresponding to a given source.