Here's an initial (very broad, quite cursory) list of mostly very recent literature in this domain, as a starting point. This is not comprehensive, so additions are welcome:
Theory-driven predictions for light-curve parameter space explored in "Theoretical Models of Optical Transients. I. A Broad Exploration of the Duration-Luminosity Phase Space"; Villar, A., Berger, E., et al. 2017; http://adsabs.harvard.edu/abs/2017arXiv170708132V
My cursory reading is that there is a lot already out there on this topic, and it seems to me that perhaps the Berkeley group around Josh Bloom has done the most comprehensive development of a transient classification system so far.
Here's an initial (very broad, quite cursory) list of mostly very recent literature in this domain, as a starting point. This is not comprehensive, so additions are welcome:
General Transient Classification
Variable Stars
SNe
Related Fields
*https://journals.aps.org/prd/abstract/10.1103/PhysRevD.95.104059
My cursory reading is that there is a lot already out there on this topic, and it seems to me that perhaps the Berkeley group around Josh Bloom has done the most comprehensive development of a transient classification system so far.