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Functional Epsilon Entropy

Abstract: 

We consider the problem of coding for computing with maximal distortion, where the sender communicates with a receiver, which has its own private data and wants to compute a function of their combined data with some fidelity constraint known to both agents. We show that the minimum rate for this problem is equal to the conditional entropy of a hypergraph and design practical codes for the problem. Further, the minimum rate of this problem may be a discontinuous function of the fidelity constraint. We also consider the case when the exact function is not known to the sender, but some approximate function or a class to which the function belongs is known and provide efficient achievable schemes.

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Paper Details

Authors:
Sourya Basu, Daewon Seo, Lav Varshney
Submitted On:
20 March 2020 - 12:58am
Short Link:
Type:
Presentation Slides
Event:
Presenter's Name:
Sourya Basu
Paper Code:
103
Session:
Session 11
Document Year:
2020
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[1] Sourya Basu, Daewon Seo, Lav Varshney, "Functional Epsilon Entropy", IEEE SigPort, 2020. [Online]. Available: http://sigport.org/5008. Accessed: Mar. 30, 2020.
@article{5008-20,
url = {http://sigport.org/5008},
author = {Sourya Basu; Daewon Seo; Lav Varshney },
publisher = {IEEE SigPort},
title = {Functional Epsilon Entropy},
year = {2020} }
TY - EJOUR
T1 - Functional Epsilon Entropy
AU - Sourya Basu; Daewon Seo; Lav Varshney
PY - 2020
PB - IEEE SigPort
UR - http://sigport.org/5008
ER -
Sourya Basu, Daewon Seo, Lav Varshney. (2020). Functional Epsilon Entropy. IEEE SigPort. http://sigport.org/5008
Sourya Basu, Daewon Seo, Lav Varshney, 2020. Functional Epsilon Entropy. Available at: http://sigport.org/5008.
Sourya Basu, Daewon Seo, Lav Varshney. (2020). "Functional Epsilon Entropy." Web.
1. Sourya Basu, Daewon Seo, Lav Varshney. Functional Epsilon Entropy [Internet]. IEEE SigPort; 2020. Available from : http://sigport.org/5008