Annual Hartigan Lecture, Featured Speaker: Peter Bickel, April 28, 2017, 11:30am-12:45pm @ 17 Hillhouse Avenue, 3nd Floor

Event time: 
Friday, April 28, 2017 - 11:30am to 12:45pm
Yale Institute for Network Science See map
17 Hillhouse Ave, 3rd FL
New Haven 06510
Event description: 
Density contour clusters and spectral clustering

John Hartigan identified as natural clusters in a Euclidean population, neighborhoods of modes of the population density. There has recently been much interest in spectral clustering using so called kernel matrices based on kernels, such as, the ones used in kernel density estimation  We show, heuristically, a close relation between density contour clustering and spectral clustering using kernels as used in density estimation. We also prove a rather weak theorem supporting the heuristics and provide simulations supporting the theorem.

Joint work with Siva Balakrishnan, Carnegie Mellon University.