Contextually Supervised Source Separation with Application to Energy Disaggregation

Abstract

We propose a new framework for single-channel source separation that liesbetween the fully supervised and unsupervised setting. Instead of supervision,we provide input features for each source signal and use convex methods toestimate the correlations between these features and the unobserved signaldecomposition. Contextually supervised source separation is a natural fit fordomains with large amounts of data but no explicit supervision; our motivatingapplication is energy disaggregation of hourly smart meter data (the separationof whole-home power signals into different energy uses). Here contextualsupervision allows us to provide itemized energy usage for thousands homes, a taskpreviously impossible due to the need for specialized data collection hardware.On smaller datasets which include labels, we demonstrate that contextualsupervision improves significantly over a reasonable baseline and existingunsupervised methods for source separation. Finally, we analyze the case of$\ell_2$ loss theoretically and show that recovery of the signal componentsdepends only on cross-correlation between features for different signals, not oncorrelations between features for the same signal.