Abstract #302169

This is the preliminary program for the 2003 Joint Statistical Meetings in San Francisco, California. Currently included in this program is the "technical" program, schedule of invited, topic contributed, regular contributed and poster sessions; Continuing Education courses (August 2-5, 2003); and Committee and Business Meetings. This on-line program will be updated frequently to reflect the most current revisions.

To View the Program:
You may choose to view all activities of the program or just parts of it at any one time. All activities are arranged by date and time.

The views expressed here are those of the individual authors
and not necessarily those of the ASA or its board, officers, or staff.

Back to main JSM 2003 Program page
JSM 2003 Abstract #302169
Activity Number: 236
Type: Topic Contributed
Date/Time: Tuesday, August 5, 2003 : 10:30 AM to 12:20 PM
Sponsor: Section on Statistical Computing
Abstract - #302169
Title: Particle Filtering for Tracking on Nonlinear Manifolds
Author(s): Anuj Srivastava*+
Companies: Florida State University
Address: Rm 210B OSB, Tallahassee, FL, 32306,
Keywords: nonlinear filtering ; shape manifolds ; principal component tracking ; particle filtering ; sequential Monte Carlo
Abstract:

Particle filtering (or sequential Monte Carlo) framework has provided tools for time series estimation in non-Gaussian, nonlinear frameworks. More importantly, and less famously, it has also allowed solutions of estimating and tracking in situations where the variables are defined on curved manifolds. We will present two instances of particle filtering on curved manifolds: (i) tracking of k-dimensional subspaces of an n dimensional time-varying system (n >> k), and (ii) tracking the shape of a flexible object using image sequences. In the first case we generate samples from the time-varying posterior on the Grassmann manifold G(n,k). In the second case we represent continuous, planar closed curves as the elements of a (infinite-dimensional) shape manifold, and use particle filtering to generate samples from a changing posterior on this manifold.

  • The address information is for the authors that have a + after their name.
  • Authors who are presenting talks have a * after their name.

Back to the full JSM 2003 program

JSM 2003 For information, contact meetings@amstat.org or phone (703) 684-1221. If you have questions about the Continuing Education program, please contact the Education Department.
Revised March 2003