JSM 2005 - Toronto

Abstract #304493

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 277
Type: Contributed
Date/Time: Tuesday, August 9, 2005 : 10:30 AM to 12:20 PM
Sponsor: Biometrics Section
Abstract - #304493
Title: Accelerating the EM Algorithm for Haplotype Reconstruction from Population Genotype Data
Author(s): Hormuzd Katki*+ and Ravi Varadhan and Christophe Roland and Bingshu E. Chen and Philip S. Rosenberg
Companies: National Cancer Institute and Johns Hopkins University and Université des Sciences et Technologies de Lille and National Institutes of Health and National Cancer Institute
Address: 6120 Executive Blvd Room 8044 MSC 7244, Rockville, MD, 20852-4910, United States
Keywords: Haplotype ; Genotype ; convergence acceleration ; EM Algorithm ; extrapolation methods
Abstract:

Because current genotyping methods rarely provide haplotype information, many statistical methods have been proposed to reconstruct haplotypes given genotype information. One popular method derives maximum-likelihood estimates using the EM algorithm. In many realistic cases, this EM algorithm converges slowly. We apply the novel class of SQUAREM schemes for accelerating EM algorithms (Roland and Varadhan 2004). We present simulations that compare the speed and convergence properties of SQUAREM and EM in a variety of realistic haplotype scenarios. SQUAREM provides useful accelerations, on average reducing the number of EM-step evaluations by a factor of five. The overhead cost of implementing SQUAREM schemes is minimal because they require only the updated parameters from the EM-step. Occasionally, SQUAREM (or even EM) will not converge to the global maximum, but this usually can be circumvented by starting the algorithms from different random starting values. These accelerations are handy for computationally-intensive analyses such as simulations, bootstrapping, and permutation testing.


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