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Toward a Source Coding Theory for Sets

descriptionPublicationkeyboard_double_arrow_right Article 07 Apr 2006Publisher:IEEEJournal:Data Compression Conference (DCC'06)

Authors: Vivek K Goyal; Lav R. Varshney;

doi: 10.1109/dcc.2006.78

Toward a Source Coding Theory for Sets

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Abstract

The problem of communicating (unordered) sets, rather than (ordered) sequences is formulated. Elementary results in all major branches of source coding theory, including lossless coding, high-rate and low-rate quantization, and rate distortion theory are presented. In certain scenarios, rate savings of log n! bits for sets of size n are obtained. Asymptotically in the set size, the entropy rate is zero and for sources with an ordered parent alphabet, the (0,0) point is the rate distortion function.

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Massachusetts Institute of Technology
United States

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Fields of Science (4) View all

natural sciences

computer and information sciences

Fields of Science

natural sciences

computer and information sciences

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