TY - GEN

T1 - The sufficiency principle for decentralized data reduction

AU - Xu, Ge

AU - Chen, Biao

PY - 2012/10/22

Y1 - 2012/10/22

N2 - This paper develops the sufficiency principle suitable for data reduction in decentralized inference systems. Both parallel and tandem networks are studied and we focus on the cases where observations at decentralized nodes are conditionally dependent. For a parallel network, through the introduction of a hidden variable that induces conditional independence among the observations, the locally sufficient statistics, defined with respect to the hidden variable, are shown to be globally sufficient for the parameter of inference interest. For a tandem network, the notion of conditional sufficiency is introduced and the related theories and tools are developed. Finally, connections between the sufficiency principle and some distributed source coding problems are explored.

AB - This paper develops the sufficiency principle suitable for data reduction in decentralized inference systems. Both parallel and tandem networks are studied and we focus on the cases where observations at decentralized nodes are conditionally dependent. For a parallel network, through the introduction of a hidden variable that induces conditional independence among the observations, the locally sufficient statistics, defined with respect to the hidden variable, are shown to be globally sufficient for the parameter of inference interest. For a tandem network, the notion of conditional sufficiency is introduced and the related theories and tools are developed. Finally, connections between the sufficiency principle and some distributed source coding problems are explored.

UR - http://www.scopus.com/inward/record.url?scp=84867565951&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84867565951&partnerID=8YFLogxK

U2 - 10.1109/ISIT.2012.6284199

DO - 10.1109/ISIT.2012.6284199

M3 - Conference contribution

AN - SCOPUS:84867565951

SN - 9781467325790

T3 - IEEE International Symposium on Information Theory - Proceedings

SP - 319

EP - 323

BT - 2012 IEEE International Symposium on Information Theory Proceedings, ISIT 2012

T2 - 2012 IEEE International Symposium on Information Theory, ISIT 2012

Y2 - 1 July 2012 through 6 July 2012

ER -