Title
Nonapproximability of the normalized information distance
Abstract
Normalized information distance (NID) uses the theoretical notion of Kolmogorov complexity, which for practical purposes is approximated by the length of the compressed version of the file involved, using a real-world compression program. This practical application is called 'normalized compression distance' and it is trivially computable. It is a parameter-free similarity measure based on compression, and is used in pattern recognition, data mining, phylogeny, clustering, and classification. The complexity properties of its theoretical precursor, the NID, have been open. We show that the NID is neither upper semicomputable nor lower semicomputable.
Year
DOI
Venue
2009
10.1016/j.jcss.2010.06.018
Software - Practice and Experience
Keywords
DocType
Volume
nonapproximability.,complexity property,theoretical notion,theoretical precursor,kolmogorov complexity,real-world compression program,practical application,practical purpose,normalized information distance,lower semicomputable,index terms— normalized information distance,normalized compression distance,indexing terms,pattern recognition,data mining
Journal
77
Issue
ISSN
Citations 
4
0022-0000
7
PageRank 
References 
Authors
0.59
12
3
Name
Order
Citations
PageRank
Sebastiaan A. Terwijn118621.06
Leen Torenvliet229041.73
Paul Vitányi32130287.76