NDLI: Information-theoretic analysis of function computation on streams

Content Provider	IEEE Xplore Digital Library
Author	Viswanathan, K.
Copyright Year	2010
Description	Author affiliation: HP Labs, Palo Alto, CA, USA (Viswanathan, K.)
Abstract	We consider the problem of determining the memory required to compute functions of data streams. A streaming system with memory constraint has to observe a collection of sources X1;X2;…;Xm sequentially, store synopses of the sources in memory, and compute a function of the sources based on the synopses. We are interested in the memory requirement, the number of bits of memory required to compute the function. In an earlier work, we established a correspondence between this problem and a functional source coding problem in cascade/line networks, and for the latter we derived inner and outer bounds on the rate region. In particular we showed that the outer bounds are achievable for all functions and a certain classes of distributions on the sources. In this paper we extend the class of distributions for which the outer bounds are achieved. By virtue of the correspondence between the two problems, this also characterizes the memory requirement for the associated streaming computation problem.
Starting Page	1147
Ending Page	1152
File Size	341357
Page Count	6
File Format	PDF
ISBN	9781424482153
e-ISBN	9781424482160
DOI	10.1109/ALLERTON.2010.5707040
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-09-29
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Protocols Source coding Memory management Markov processes Robustness Random variables Joints
Content Type	Text
Resource Type	Article

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