Mosaphir, Drisana2022-09-132022-09-132022-05https://hdl.handle.net/11299/241604University of Minnesota Ph.D. dissertation. 2022. Major: Mathematics. Advisor: Jeff Calder. 1 computer file (PDF); 58 pages.This work investigates the online machine learning problem of prediction with expert advice through numerical analysis of a related PDE. The problem is a repeated two-person game involving decision-making at each step informed by n experts with geometric stopping condition; the continuum limit of the consequences of this game over a large number of steps leads to an elliptic PDE. This work presents a numerical scheme that allows us to solve this PDE for general number of experts n, and gives numerical results for n < 9.enanalysismachine learningnumerical analysispartial differential equationsPDEpredictionThesis or Dissertation