From Data to the Physics Using Ultrametrics: New Results in High Dimensional Data Analysis

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5 Citations (Scopus)

Abstract

We begin with pervasive ultrametricity due to high dimensionality and/or spatial sparsity. How extent or degree of ultrametricity can be quantified leads us to the discussion of varied practical cases when ultrametricity can be partially or locally present in data. We show how the ultrametricity can be assessed in text or document collections, in time series signals, and in other areas. We conclude with a discussion of ultrametricity in astrophysics, relating to observational cosmology.

Original languageEnglish
Title of host publicationp-ADIC Mathematical Physics
Subtitle of host publication2nd International Conference
EditorsAndrei Yu. Khrennikov, Zoran Rakic, Igor V. Volovich
PublisherAIP Publishing
Pages151-161
Number of pages11
Volume826
Edition1
ISBN (Print)073540318X, 9780735403185
DOIs
Publication statusPublished - 29 Mar 2006
Externally publishedYes
Event2nd International Conference on p-Adic Mathematical Physics - Belgrade
Duration: 15 Sep 200521 Sep 2005
Conference number: 2
https://labs.inspirehep.net/conferences/976725

Publication series

NameAIP Conference Proceedings
Number1
Volume826
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference2nd International Conference on p-Adic Mathematical Physics
CityBelgrade
Period15/09/0521/09/05
Internet address

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Cite this

Murtagh, F. (2006). From Data to the Physics Using Ultrametrics: New Results in High Dimensional Data Analysis. In A. Y. Khrennikov, Z. Rakic, & I. V. Volovich (Eds.), p-ADIC Mathematical Physics: 2nd International Conference (1 ed., Vol. 826, pp. 151-161). (AIP Conference Proceedings; Vol. 826, No. 1). AIP Publishing. https://doi.org/10.1063/1.2193119