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25th Annual Symposium on Foundations of Computer Science (FOCS 1984)
Singer Island, FL
October 24October 26
ISBN: 081860591X
ASCII Text  x  
A. El Gamal, A. Orlitsky, "Interactive Data Compression," 2013 IEEE 54th Annual Symposium on Foundations of Computer Science, pp. 100108, 25th Annual Symposium on Foundations of Computer Science (FOCS 1984), 1984.  
BibTex  x  
@article{ 10.1109/SFCS.1984.715906, author = {A. El Gamal and A. Orlitsky}, title = {Interactive Data Compression}, journal ={2013 IEEE 54th Annual Symposium on Foundations of Computer Science}, volume = {0}, year = {1984}, isbn = {081860591X}, pages = {100108}, doi = {http://doi.ieeecomputersociety.org/10.1109/SFCS.1984.715906}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }  
RefWorks Procite/RefMan/Endnote  x  
TY  CONF JO  2013 IEEE 54th Annual Symposium on Foundations of Computer Science TI  Interactive Data Compression SN  081860591X SP100 EP108 A1  A. El Gamal, A1  A. Orlitsky, PY  1984 VL  0 JA  2013 IEEE 54th Annual Symposium on Foundations of Computer Science ER   
Let X and Y be two random variables with probability distribution p(x,y), joint entropy H(X,Y) and conditional entropies H(X \ Y) and H(Y \ X) . Person P/sub x/ knows X and person P/sub Y/ knows Y. They communicate over a noiseless twoway channel so that both know X and Y. It is proved that, on the average, at least H(X \ Y) + H(Y \ X) bits must be exchanged and that H(X,Y) + 2 bits are sufficient. If p(x.y) > 0 for all (x.y), then at least H(X,Y) bits must be communicated on the average. However, if p (x,y) is uniform over its support set, the average number of bits needed is close to H(X \ Y) + H (Y \ X). Randomized protocols can reduce the amount of communication considerably but only when some probability of error is acceptable.
Citation:
A. El Gamal, A. Orlitsky, "Interactive Data Compression," focs, pp.100108, 25th Annual Symposium on Foundations of Computer Science (FOCS 1984), 1984
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