Optimal ordering of transmissions for computing Boolean threshold functions

IEEE International Symposium on Information Theory - Proceedings

Volumn , Issue , 2010, Pages 1863-1867

  Kowshik, Hemant ^a   Kumar, P R ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BERNOULLI; DECISION PROBLEMS; DISTRIBUTED DATA; OPTIMAL COMPUTATION; OPTIMAL ORDERING; OPTIMAL STRATEGIES; SYMMETRIC BOOLEAN FUNCTIONS; THRESHOLD FUNCTIONS;

INFORMATION THEORY; OPTIMAL SYSTEMS; STRUCTURAL OPTIMIZATION;

BOOLEAN FUNCTIONS;

EID: 77955669072     PISSN: 21578103     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ISIT.2010.5513431     Document Type: Conference Paper

References (9)

1. A. Giridhar and P. R. Kumar. Computing and communicating functions over sensor networks. IEEE Journal on Selected Areas in Communication, 23(4):755-764, April 2005.
2. H. Kowshik and P. R. Kumar. Zero-error function computation in sensor networks. In Proceedings of the 48th IEEE Conference on Decision and Control(CDC), December 2009.
3. E. Kushilevitz and N. Nisan. Communication Complexity. Cambridge University Press, 1997.
4. R. Ahlswede and Ning Cai. On communication complexity of vector-valued functions. IEEE Transactions on Information Theory, 40:2062-2067, 1994.
5. H. Kowshik and P. R. Kumar. Optimal strategies for computing boolean functions in collocated networks. In Proceedings of the Information Theory Workshop, Cairo, January 2010.
6. A. Orlitsky and J. R. Roche. Coding for computing. IEEE Transactions on Information Theory, 47:903-917, 2001.
7. N. Ma, P. Ishwar, and P. Gupta. Information-theoretic bounds for multi-round function computation in collocated networks. In IEEE International Symposium on Information Theory (ISIT), 2009.
8. Yosi Ben-Asher and Ilan Newman. Decision trees with boolean threshold queries. Journal of Computer and System Sciences, 51, 1995.
9. K. J. Arrow, L. Pesotchinsky, and M. Sobel. On partitioning of a sample with binary-type questions in lieu of collecting observations. Journal of the American Statistical Association, 76(374):402-409, June 1981.