Accueil

Susan Holmes

  1. The duality diagram in data analysis: Examples of modern applications.

    Mon, 02/27/2012 - 15:01 — SomNambul
    Authors: Susan Holmes, Omar De la Cruz
    Subjects: Applications
    Abstract

    Today's data-heavy research environment requires the integration of different
    sources of information into structured data sets that can not be analyzed as
    simple matrices.

  2. Analysis of Casino Shelf Shuffling Machines.

    Mon, 07/18/2011 - 15:01 — SomNambul
    Authors: Persi Diaconis, Susan Holmes, Jason Fulman
    Subjects: Combinatorics
    Abstract

    Many casinos routinely use mechanical card shuffling machines. We were asked
    to evaluate a new product, a shelf shuffler. This leads to new probability, new
    combinatorics, and to some practical advice which was adopted by the
    manufacturer. The interplay between theory, computing, and real-world
    application is developed.

  3. Computational Tools for Evaluating Phylogenetic and Hierarchical Clustering Trees.

    Tue, 06/08/2010 - 15:01 — SomNambul
    Authors: Susan Holmes, John Chakerian
    Subjects: Applications
    Abstract

    Inferential summaries of tree estimates are useful in the setting of
    evolutionary biology, where phylogenetic trees have been built from DNA data
    since the 1960's. In bioinformatics, psychometrics and data mining,
    hierarchical clustering techniques output the same mathematical objects, and
    practitioners have similar questions about the stability and `generalizability'
    of these summaries.

  4. An Exposition of G\"otze's Estimation of the Rate of Convergence in the Multivariate Central Limit Theorem.

    Tue, 03/23/2010 - 16:02 — SomNambul
    Authors: Susan Holmes, Rabi Bhattacharya
    Subjects: Statistics
    Abstract

    We provide an explanation of the main ideas underlying G\"otze's main result
    in using Stein's method. We also provide detailed derivations of various
    intermediate estimates. Curiously, we are led to a different dimensional
    dependence of the constant than that given G\"otze's paper. We would like to
    dedicate this to Charles Stein on the occasion of his 90th birthday.

  5. Threshold graph limits and random threshold graphs.

    Wed, 08/19/2009 - 19:30 — SomNambul
    Authors: Svante Janson, Persi Diaconis, Susan Holmes
    Subjects: Combinatorics
    Abstract

    We study the limit theory of large threshold graphs and apply this to a
    variety of models for random threshold graphs. The results give a nice set of
    examples for the emerging theory of graph limits.

Math-arch

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