Thursday, April 4, 2019
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04/04/2019  4:00pm Abstract: Belief Propagation on trees is a Deceptively Simple Inference Procedure. Professor Mossel will discuss some mathematical aspects of the analysis of Belief Propagation, in particular in connection with the theory of dilute spinglasses and the theory of zeta functions on graphs as well as inference applications for problems in network clustering and evolutionary inference. Location:
LOM 215
04/04/2019  4:15pm Abstract: I will discuss two recent results obtained in collaboration with I. Parissis (U Basque Country). The first is a sharp L^2 estimate for the maximal averaging operator associated to sets of directions from algebraic sets in R^n of arbitrary codimension. The proof uses a new scheme of polynomial partitioning on manifolds which extends ideas by Larry Guth. The second result is a sharp L^4 estimate for the Fourier multiplier associated to a polygon of N sides in R^2, and a sharp form of the two parameter Meyer’s lemma. These results improve on the usual ones obtained via weighted norm inequalities and rely on a novel Carleson measure estimate for directional square functions of timefrequency nature. Location:
LOM 205
