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2010 ; 4
(4
): 1722-1748
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Reuse, Recycle, Reweigh: Combating Influenza through Efficient Sequential
Bayesian Computation for Massive Data
#MMPMID26681992
Tom JA
; Sinsheimer JS
; Suchard MA
Ann Appl Stat
2010[]; 4
(4
): 1722-1748
PMID26681992
show ga
Massive datasets in the gigabyte and terabyte range combined with the
availability of increasingly sophisticated statistical tools yield analyses at
the boundary of what is computationally feasible. Compromising in the face of
this computational burden by partitioning the dataset into more tractable sizes
results in stratified analyses, removed from the context that justified the
initial data collection. In a Bayesian framework, these stratified analyses
generate intermediate realizations, often compared using point estimates that
fail to account for the variability within and correlation between the
distributions these realizations approximate. However, although the initial
concession to stratify generally precludes the more sensible analysis using a
single joint hierarchical model, we can circumvent this outcome and capitalize on
the intermediate realizations by extending the dynamic iterative reweighting MCMC
algorithm. In doing so, we reuse the available realizations by reweighting them
with importance weights, recycling them into a now tractable joint hierarchical
model. We apply this technique to intermediate realizations generated from
stratified analyses of 687 influenza A genomes spanning 13 years allowing us to
revisit hypotheses regarding the evolutionary history of influenza within a
hierarchical statistical framework.