Novel Methods for Enabling Discovery at the LHC and Beyond

The discovery of the Higgs boson in 2012 was a momentous achievement for the LHC experiments and high energy physics in general. However, the LHC has not yet produced a discovery of physics  beyond the Standard Model, and therefore both measurement and searches must begin to adapt and explore regions of phase space that have been left uncovered up until now. Doing so most effectively will require novel methods of data acquisition and analysis. In this talk I will present work from the ongoing development of the Compact Muon Solenoid (CMS) Level-1 trigger system upgrade for the High-Luminosity Large Hadron Collider. I will also discuss a new search at CMS for a light resonance decaying to two leptons which makes use of novel machine learning training methods and architectures.