A locally encodable and decodable compressed data structure
Name
Chandar-2009-A locally encodable and decodable compressed data structure.pdf
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232.17 KB
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Adobe PDF
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Author(s)
Chandar, Venkat B.
Shah, Devavrat
Wornell, Gregory W.
Date Issued
January 2010
Journal
47th Annual Allerton Conference on Communication, Control, and Computing, 2009
Publisher
Institute of Electrical and Electronics Engineers
Citation
Chandar, V., D. Shah, and G.W. Wornell. “A locally encodable and decodable compressed data structure.” Communication, Control, and Computing, 2009. Allerton 2009. 47th Annual Allerton Conference on. 2009. 613-619. © 2009 IEEE
Version
Final published version
Abstract
In a variety of applications, ranging from highspeed networks to massive databases, there is a need to maintain histograms and other statistics in a streaming manner. Motivated by such applications, we establish the existence of efficient source codes that are both locally encodable and locally decodable. Our solution is an explicit construction in the form of a (randomized) data structure for storing N integers. The construction uses multi-layered sparse graph codes based on Ramanujan graphs, and has the following properties: (a) the structure utilizes minimal possible space, and (b) the value of any of the integers can be read or updated in near constant time (on average and with high probability). By contrast, data structures proposed in the context of streaming algorithms and compressed sensing in recent years (e.g., various sketches) support local encodability, but not local decodability; and those known as succinct data structures are locally decodable, but not locally encodable.
MIT Department
Lincoln Laboratory
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1109/ALLERTON.2009.5394919
