force the outputs to sum to no more than the aggregate power demand at each time slice

[JackKelly]

Just as soft max allows outputs to form a categorical distribution, maybe there is some way to force the outputs to sum to no more than the aggregate power demand at each time slice. If the network outputs proportion of energy per appliance then perhaps we can just use soft max. But what about unrecognised appliances? And can we still use density mixture models? And maybe getting it to estimate proportion won't work well if we use high frequency voltage data. Also means that the output for every appliance would have to change when any appliance changes state, which seems like a bad idea