Week of Events
Applied Math Seminar: Juergen Kritschgau (Carnegie Mellon)
Applied Math Seminar: Juergen Kritschgau (Carnegie Mellon)
Title: Using Mutual Information of Hypergraph Compressions for Clustering Abstract: Hypergraphs are often used to represent higher order observed relationships between subjects of study. In particular, the vertices of a hypergraph could represent the basic elements of study, and edges represent observed relationships between the vertices. Implicitly, the assumption is that observed edges are more […]
Partial orders on standard Young tableaux( Gizem Karaali, Pomona)
Partial orders on standard Young tableaux( Gizem Karaali, Pomona)
Young diagrams are all possible arrangements of n boxes into rows and columns, with the number of boxes in each subsequent row weakly decreasing. For a partition λ of n, a standard Young tableau S of shape λ is built from the Young diagram of shape λ by filling it with the numbers 1 to […]
On discrete subgroups of Euclidean spaces (Lenny Fukshansky, CMC)
On discrete subgroups of Euclidean spaces (Lenny Fukshansky, CMC)
Let x_1,...,x_n be an overdetermined spanning set for the Euclidean space R^k, where n > k. Let L be the integer span of these vectors. Then L is an additive subgroup of R^n. When is it discrete in R^n? Naturally, this depends on the choice of the spanning set, but in which way? We will […]