PPP Theory Seminar: Nathanial Craig (University of California-Santa Barbara), Title Optimal Transport for Particle Physicists
https://kansas.zoom.us/j/97437962426
Passcode: 154207
The theory of optimal transport — motivated by minimizing the ``work’’ required to rearrange one distribution into another — has found widespread application in PDEs, geometry, statistics, economics, image processing, and machine learning. Recently applied to particle physics, the theory of optimal transport provides a new perspective on jet variables; implies inequalities satisfied nonperturbatively by jet observables; and enables the definition of a ``distance'' between theories. From a practical perspective, optimal transport defines new quantities associated with collider events that can be used as input to machine learning algorithms and leveraged in collider analyses. In this talk, I’ll review the essentials of optimal transport relevant for particle physics, summarize recent foundational applications, and present an efficient framework for using optimal transport to define a metric on the space of collider events.