GUEST LECTURER
Vladimir Koltchinskii

AFFILIATION
Professor, School of Mathematics, Georgia Tech

ABSTRACTWe will discuss several problems related to estimation of integral curves of a vector field based on its noisy observations. The motivation comes from applications to Diffusion Tensor Imaging, a brain imaging technique used, in particular, to recover the paths of neural fibers in the brain based on diffusion data. An estimator will be discussed for which it is possible to establish asymptotic normality (in the sense of convergence in distribution in a functional space). This provides formulas for asymptotic distributions of several statistics of interest, such as the distance from the estimated curve to a given region. [Based on a joint paper with Ludmila Sakhanenko and Songhe Cai to appear in the Annals of Statistics].

DATE & TIME
Thursday, April 19, 2007 -- 11:00 AM

DURATION
1 hour

LOCATION
Executive classroom of Main building of ISyE, GT

CONTACT PERSON
Yajun Mei