We did indeed talked about this in the plenary. As @rodrigo.constanzo says, this is what the guitar pick example in the helpfiles is doing in effect, but by centroid. I called it oversampled NMF, but I’m not sure if there is another official name somewhere. Over-splitting?
One thing you could also try is to analyse the time series (the activations of each basis) and cluster them, but that is harder. A LPT approach to that could definitely be experienced with indeed as it tries to have some indications about the time series…