Ghost-Hunting: Finding Extra Modes in Gaussian Mixture Models
- Thursday, October 8, 2015 from 3:10pm to 4:00pm
- Wilson Hall - view map
Brittany Terese Fasy from Department of Computer Science at MSU will present Applied Mathematics Seminar titled "Ghost-Hunting: Finding Extra Modes in Gaussian Mixture Models."
The sum of finitely many isotropic Gaussian kernels in 2- or higher-dimensional Euclidean space can have more modes than kernels. Even more surprising is the fact that the sum (also known as a Gaussian Mixture Model or GMM) can have an exponential number of critical values. In this talk, I provide an analytical description of these critical points for a particular arrangement of kernels, focusing attention on the extra "ghost" mode.