JSM 2011 Online Program

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Abstract Details

Activity Number: 40
Type: Contributed
Date/Time: Sunday, July 31, 2011 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistical Learning and Data Mining
Abstract - #302738
Title: Online Variational Bayesian Inference in Hierarchical Models for Correlated High-Dimensional Data
Author(s): Sylvie Tchumtchoua*+
Companies: Statistical and Applied Mathematical Sciences Institute
Address: 19 T.W. Alexander Drive, P.O. Box 14006, Research Triangle Park, NC, 27709-4006,
Keywords: Hierarchical model ; Nonparametric Bayes ; Online variational Bayes ; Conditional autoregressive model ; Correlated high-dimensional data
Abstract:

High-dimensional data with hundreds of thousands of observations are becoming commonplace in many disciplines. The analysis of such data poses many computational challenges, especially when the observations are correlated over time and/or across space. In this paper we propose flexible hierarchical regression models for analyzing such data that accommodate serial and/or spatial correlation. We address the computational challenges involved in fitting these models by adopting an approximate inference framework. We develop an online variational Bayes algorithm that is fast and accurate. The performance of the method is assessed through simulation studies. We applied the methodology to analyze signal intensity in MRI images.


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