We will discuss stochastic processes, Le Jan-Sznitman cascades, that can be associated with certain nonlinear PDE and how explosion of these cascades can be exploited to prove non-uniques for the associated Cauchy problems. In particular,…
The 20th Northwest Probability Seminar, a one-day mini-conference organized by the University of Washington, the Oregon State University, the University of British Columbia, the University of Oregon, and Microsoft Research, was held on October 20,…
Let G be a finite group, and consider the following \emph{product replacement walk} on the set of generating n-tuples of elements of G: randomly pick two of the n elements, say g and h, and…
The (1d) KPZ universality class contains random growth models, directed random polymers, stochastic Hamilton-Jacobi equations (e.g. the eponymous Kardar-Parisi-Zhang equation). It is characterized by unusual scale of fluctuations, some of which appeared earlier in random…
Senior Researcher Nicole Immorlica and Managing Director Jennifer Chayes offer closing remarks for Microsoft Research New England 10th Anniversary Symposium.
Senior Researcher Nicole Immorlica and Deputy Managing Director Christian Borgs offer opening remarks for Microsoft Research New England 10th Anniversary Symposium.
This panel will discuss the role of long-term thinking and theory in research: how does it fit into the big picture, and when is it most useful? The panel is moderated by Robbert Dijkgraaf, who…
Stochastic approximation algorithms are used to approximate solutions to fixed point equations that involve expectations of functions with respect to possibly unknown distributions. Among many algorithms in machine learning, reinforcement learning algorithms such as TD-…
“How can one check a routine in the sense of making sure that it is right?” asked Alan Turing in 1949, foreshadowing the science of program proving decades before it became a formally accepted field…
