This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.
Abstract Details
Activity Number:
|
244
|
Type:
|
Contributed
|
Date/Time:
|
Monday, August 2, 2010 : 2:00 PM to 3:50 PM
|
Sponsor:
|
Section on Nonparametric Statistics
|
Abstract - #308963 |
Title:
|
High-Dimensional Adaptive Basis Density Estimation
|
Author(s):
|
Susan Buchman*+ and Ann Lee and Chad Schafer
|
Companies:
|
Carnegie Mellon University and Carnegie Mellon University and Carnegie Mellon University
|
Address:
|
1340 Beechview Avenue, Pittsburgh, PA, 15216, USA
|
Keywords:
|
dimensionality reduction ;
tropical cyclones ;
high-dimensional data ;
density estimation ;
diffusion maps
|
Abstract:
|
We present a method for high-dimensional density estimation that assumes the ability to cheaply sample from an instrumental distribution that captures the low-dimensional structure in the data distribution. This assumption is satisfied in the application area of interest: the distribution of tropical cyclone tracks in the Atlantic Ocean. Physical models are capable of generating realistic tracks, but not in the correct distribution; our method allows for their use in determining the location of the central mass of the distribution in the vast high-dimensional space. Using orthogonal series density estimation with a basis that is adapted to the instrumental distribution, one can produce a density for the data distribution with respect not to the Lebesgue measure, but with respect to the instrumental distribution, which could improve rates of convergence.
|
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 2010 program
|
2010 JSM Online Program Home
For information, contact jsm@amstat.org or phone (888) 231-3473.
If you have questions about the Continuing Education program, please contact the Education Department.