TY - GEN
T1 - New Results on the Equality of Exact and Wyner Common Information Rates
AU - Vellambi, Badri N.
AU - Kliewer, Jorg
N1 - Publisher Copyright:
© 2018 IEEE.
PY - 2018/8/15
Y1 - 2018/8/15
N2 - Recently, Kumar, Li, and EI Gamal proposed a notion of common information using a variation of a setup used to define Wyner common information rate. This notion, known as the exact common information, is the minimum common randomness required for the exact and separate generation of a pair of correlated discrete memoryless sources. While exact common information rate is not known to have a single-letter characterization, it was shown to equal the Wyner common information rate for the symmetric binary erasure source in Kumar-Li-EI Gamal-ISIT2014. The authors extended this result to establish the equality of the two notions of common information for general noisy typewriter, Z - and erasure sources in Vellambi - Kliewer - Allerton 2016. In this work, we investigate the connection between exact and Wyner common information rates to derive two new implicit conditions (on the joint source distribution) that ensure the equality of the two notions.
AB - Recently, Kumar, Li, and EI Gamal proposed a notion of common information using a variation of a setup used to define Wyner common information rate. This notion, known as the exact common information, is the minimum common randomness required for the exact and separate generation of a pair of correlated discrete memoryless sources. While exact common information rate is not known to have a single-letter characterization, it was shown to equal the Wyner common information rate for the symmetric binary erasure source in Kumar-Li-EI Gamal-ISIT2014. The authors extended this result to establish the equality of the two notions of common information for general noisy typewriter, Z - and erasure sources in Vellambi - Kliewer - Allerton 2016. In this work, we investigate the connection between exact and Wyner common information rates to derive two new implicit conditions (on the joint source distribution) that ensure the equality of the two notions.
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U2 - 10.1109/ISIT.2018.8437787
DO - 10.1109/ISIT.2018.8437787
M3 - Conference contribution
AN - SCOPUS:85052480102
SN - 9781538647806
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 151
EP - 155
BT - 2018 IEEE International Symposium on Information Theory, ISIT 2018
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2018 IEEE International Symposium on Information Theory, ISIT 2018
Y2 - 17 June 2018 through 22 June 2018
ER -