Data Analysis using Computational Topology and Geometric Statistics (09w5112)


Peter Bubenik (University of Florida)

(Stanford University)

(University of Guelph)


The Banff International Research Station will host the "Data Analysis using Computational Topology and Geometric Statistics” workshop next week, March 8 - March 13, 2009.

Mathematical scientists are being asked to apply their techniques to large, complex data sets, for which traditional methods are inadequate. Examples include data from natural images, gene-chips, neuroscience, protein interactions, sensor networks, astronomy, biomechanics, medical imaging and music. These present challenges in representation, visualization, interpretation and analysis. Two approaches to this problem are given by the fields of Computational Topology and Geometric Statistics. Although these fields have used different techniques, they share an understanding that there is some underlying geometry from which the data is generated by statistical sampling. This workshop will bring together these two approaches for the purpose of statistical data analysis.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the US National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnologí­a (CONACYT).