Title
Entropy Bounds For Grammar-Based Tree Compressors
Abstract
The definition of kappa th-order empirical entropy of strings is extended to node-labeled binary trees. A suitable binary encoding of tree straight-line programs (that have been used for grammar-based tree compression before) is shown to yield binary tree encodings of size bounded by the kappa th-order empirical entropy plus some lower order terms. This generalizes recent results for grammar-based string compression to grammar-based tree compression. A long version of this paper can be found in [11].
Year
DOI
Venue
2019
10.1109/ISIT.2019.8849372
2019 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT)
Keywords
Field
DocType
Grammar-based compression, binary trees, empirical entropy, lossless compression
Discrete mathematics,Combinatorics,Binary encoding,Empirical entropy,Binary tree,Grammar,Gas compressor,Tree compression,Mathematics,Bounded function
Journal
Volume
Citations 
PageRank 
abs/1901.03155
0
0.34
References 
Authors
13
3
Name
Order
Citations
PageRank
Danny Hucke1196.31
Markus Lohrey290375.40
Louisa Seelbach Benkner301.69