Research Interests

My research interests include high-dimensional data analysis, multiscale methods, clustering algorithms, and machine learning. My research has utilized tools from statistics, linear algebra, random matrix theory, probability, and harmonic analysis. My dissertation research used multiscale singular value decompositions to estimate the instrinsic dimension of high-dimensional data sets. More recently I am working on a multiscale, spectral method for estimating the number of clusters in a data set.

Publications

Conference Papers

Journal Articles and Book Chapters

PhD Dissertantion