Events Archive - Claremont Center for the Mathematical Sciences

Questions on Symmetric Chains (Shahriar Shahriari, Pomona)

January 25 @ 12:30 pm - 1:20 pm

On Zoom

The set of subsets {1, 3}, {1, 3, 4}, {1, 3, 4, 6} is a symmetric chain in the partially ordered set (poset) of subsets of {1,...,6}. It is a chain, because each of the subsets is a subset of the next one. It is symmetric because the collection has as many subsets with less than 3 elements as it has subsets with more than 3 elements (3 is half of 6, the size of the original set). It is…

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Using Stitching for faster sampling (Prof. Mark Huber)

January 26 @ 4:15 pm - 5:30 pm

Title: Using Stitching for faster sampling Speaker: Mark Huber, Department of Mathematics, Claremont McKenna College Abstract: Point processes are used to model location data, such as the locations of trees in a forest, or cities in a plain. Repulsive point processes modify the basic model in order to obtain points that are farther apart from each other than would be expected if they were placed uniformly at random. In order to understand the behavior of these models, Monte Carlo methods are used, which draw samples…

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APPLIED MATH SEMINAR: Archetypal analysis by Professor Braxton Osting (University of Utah)

January 31 @ 4:15 pm - 5:15 pm

Archetypal analysis is an unsupervised learning method that uses a convex polytope to summarize multivariate data. For fixed k, the method finds a convex polytope with k vertices, called archetype points, such that the polytope is contained in the convex hull of the data and the mean squared distance between the data and the polytope is minimal. In this talk, I'll give an overview of the method and discuss connections to matrix factorization, SVD/PCA, and the k-means clustering method. I'll…

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