Skip Navigation


The Computer Journal Advance Access first published online on October 9, 2007
This version published online on December 14, 2007
The Computer Journal, doi:10.1093/comjnl/bxm084
This Article
Right arrow Full Text
Right arrow Full Text (PDF)
Right arrow All Versions of this Article:
bxm084v2    most recent
bxm084v1
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Murtagh, F.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The Author 2007. Published by Oxford University Press on behalf of The British Computer Society. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

On Ultrametric Algorithmic Information

Fionn Murtagh*

Department of Computer Science, Royal Holloway, University of London, Egham TW20 0EX, UK

* Corresponding author: fmurtagh{at}acm.org

Received 19 May 2007; revised 18 August 2007

How best to quantify the information of an object, whether natural or artifact, is a problem of wide interest. A related problem is the computability of an object. We present practical examples of a new way to address this problem. By giving an appropriate representation to our objects, based on a hierarchical coding of information, we exemplify how it is remarkably easy to compute complex objects. Our algorithmic complexity is related to the length of the class of objects, rather than to the length of the object.

Key Words: Data mining • multivariate data analysis • hierarchical clustering • compression • information • entropy • wavelet transform • computability • topology • ultrametric

The original version was incorrect. The display of numbers on pages 7 and 9 were not correclty displayed; reference 5 had an incorrect title and page span.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.