[1] He is a Distinguished Professor emeritus at the University of California, Santa Cruz.
[2] His doctoral dissertation, Scheduling on Profiles of Constant Breadth, was supervised by Harold N.
[4] With his student Nick Littlestone,[3] Warmuth published the weighted majority algorithm for combining the results for multiple predictors in 1989.
[5][WM] Warmuth was also the coauthor of an influential 1989 paper in the Journal of the ACM, with Anselm Blumer, Andrzej Ehrenfeucht, David Haussler, introducing the Vapnik–Chervonenkis dimension to computational learning theory.
[7][OR] In 2021, Warmuth became a member of the German National Academy of Sciences Leopoldina.