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The Twelvefold Way of Non-Sequential Lossless Compression

Citation Author(s):
Submitted by:
Lav Varshney
Last updated:
1 March 2021 - 7:04pm
Document Type:
Presentation Slides
Document Year:
Event:
Presenters Name:
Lav Varshney

Abstract 

Abstract: 

Many information sources are not just sequences of distinguishable symbols but rather have invariances governed by alternative counting paradigms such as permutations, combinations, and partitions. We consider an entire classification of these invariances called the twelvefold way in enumerative combinatorics and develop a method to characterize lossless compression limits. Explicit computations for all twelve settings are carried out for i.i.d. uniform and Bernoulli distributions. Comparisons among settings provide quantitative insight.

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