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Title: Probability Convergence in a Multithreaded Counting Application

Abstract

We introduce the PDtree, a data structure for fast counting of any specified combinations of a given set of variables. We describe a static implementation that provides speedup linear in the number of processors on the multithreaded Cray MTA-2 machine. Finally, we prove a general convergence property that bounds the nondeterministic deviation of probability estimates relative to a sequential implementation. This convergence result is relevant for any counting application that takes a multithreaded streaming approach.

Authors:
; ; ; ; ;
Publication Date:
Research Org.:
Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
910005
Report Number(s):
PNNL-SA-53295
TRN: US200723%%313
DOE Contract Number:
AC05-76RL01830
Resource Type:
Conference
Resource Relation:
Conference: Parallel and Distributed Processing Symposium (IPDPS 2007), 1-5
Country of Publication:
United States
Language:
English
Subject:
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; CONVERGENCE; PROBABILITY; P CODES; CRAY COMPUTERS; COMPUTER CALCULATIONS

Citation Formats

Scherrer, Chad, Beagley, Nathaniel, Nieplocha, Jarek, Marquez, Andres, Feo, John, and Chavarría-Miranda, Daniel. Probability Convergence in a Multithreaded Counting Application. United States: N. p., 2007. Web. doi:10.1109/IPDPS.2007.370688.
Scherrer, Chad, Beagley, Nathaniel, Nieplocha, Jarek, Marquez, Andres, Feo, John, & Chavarría-Miranda, Daniel. Probability Convergence in a Multithreaded Counting Application. United States. doi:10.1109/IPDPS.2007.370688.
Scherrer, Chad, Beagley, Nathaniel, Nieplocha, Jarek, Marquez, Andres, Feo, John, and Chavarría-Miranda, Daniel. Fri . "Probability Convergence in a Multithreaded Counting Application". United States. doi:10.1109/IPDPS.2007.370688.
@article{osti_910005,
title = {Probability Convergence in a Multithreaded Counting Application},
author = {Scherrer, Chad and Beagley, Nathaniel and Nieplocha, Jarek and Marquez, Andres and Feo, John and Chavarría-Miranda, Daniel},
abstractNote = {We introduce the PDtree, a data structure for fast counting of any specified combinations of a given set of variables. We describe a static implementation that provides speedup linear in the number of processors on the multithreaded Cray MTA-2 machine. Finally, we prove a general convergence property that bounds the nondeterministic deviation of probability estimates relative to a sequential implementation. This convergence result is relevant for any counting application that takes a multithreaded streaming approach.},
doi = {10.1109/IPDPS.2007.370688},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Fri Mar 30 00:00:00 EDT 2007},
month = {Fri Mar 30 00:00:00 EDT 2007}
}

Conference:
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