Thinking ultrametrically. / Murtagh, Fionn; Banks, D (Editor); House, L (Editor); McMorris, F R (Editor); Arabie, P (Editor); Gaul, W (Editor).

Classification, Clustering, and Data Mining Applications. Berlin : Springer-Verlag, 2004. p. 3-14 (Studies in Classification, Data Analysis & Knowledge Organization).

Research output: Chapter in Book/Report/Conference proceedingChapter

Published

Standard

Thinking ultrametrically. / Murtagh, Fionn; Banks, D (Editor); House, L (Editor); McMorris, F R (Editor); Arabie, P (Editor); Gaul, W (Editor).

Classification, Clustering, and Data Mining Applications. Berlin : Springer-Verlag, 2004. p. 3-14 (Studies in Classification, Data Analysis & Knowledge Organization).

Research output: Chapter in Book/Report/Conference proceedingChapter

Harvard

Murtagh, F, Banks, D (ed.), House, L (ed.), McMorris, FR (ed.), Arabie, P (ed.) & Gaul, W (ed.) 2004, Thinking ultrametrically. in Classification, Clustering, and Data Mining Applications. Studies in Classification, Data Analysis & Knowledge Organization, Springer-Verlag, Berlin, pp. 3-14. <http://www.cs.rhul.ac.uk/home/fionn/papers/fm28.pdf>

APA

Murtagh, F., Banks, D. (Ed.), House, L. (Ed.), McMorris, F. R. (Ed.), Arabie, P. (Ed.), & Gaul, W. (Ed.) (2004). Thinking ultrametrically. In Classification, Clustering, and Data Mining Applications (pp. 3-14). (Studies in Classification, Data Analysis & Knowledge Organization). Springer-Verlag. http://www.cs.rhul.ac.uk/home/fionn/papers/fm28.pdf

Vancouver

Murtagh F, Banks D, (ed.), House L, (ed.), McMorris FR, (ed.), Arabie P, (ed.), Gaul W, (ed.). Thinking ultrametrically. In Classification, Clustering, and Data Mining Applications. Berlin: Springer-Verlag. 2004. p. 3-14. (Studies in Classification, Data Analysis & Knowledge Organization).

Author

Murtagh, Fionn ; Banks, D (Editor) ; House, L (Editor) ; McMorris, F R (Editor) ; Arabie, P (Editor) ; Gaul, W (Editor). / Thinking ultrametrically. Classification, Clustering, and Data Mining Applications. Berlin : Springer-Verlag, 2004. pp. 3-14 (Studies in Classification, Data Analysis & Knowledge Organization).

BibTeX

@inbook{239a8a90667649b5bd9a9f51b6ecbb8d,
title = "Thinking ultrametrically",
abstract = "The triangular inequality is a defining property of a metric space, while the stronger ultrametric inequality is a defining property of an ultrametric space. Ultrametric distance is defined from p-adic valuation. It is known that ultrametricity is a natural property of spaces that are sparse. Here we look at the quantification of ultrametricity. We also look at data compression based on a new ultrametric wavelet transform. We conclude with computational implications of prevalent and perhaps ubiquitous ultrametricity.",
keywords = "ultrametricity, ultrametric",
author = "Fionn Murtagh and D Banks and L House and McMorris, {F R} and P Arabie and W Gaul",
year = "2004",
language = "English",
isbn = "3540220143",
series = "Studies in Classification, Data Analysis &amp; Knowledge Organization",
publisher = "Springer-Verlag",
pages = "3--14",
booktitle = "Classification, Clustering, and Data Mining Applications",

}

RIS

TY - CHAP

T1 - Thinking ultrametrically

AU - Murtagh, Fionn

A2 - Banks, D

A2 - House, L

A2 - McMorris, F R

A2 - Arabie, P

A2 - Gaul, W

PY - 2004

Y1 - 2004

N2 - The triangular inequality is a defining property of a metric space, while the stronger ultrametric inequality is a defining property of an ultrametric space. Ultrametric distance is defined from p-adic valuation. It is known that ultrametricity is a natural property of spaces that are sparse. Here we look at the quantification of ultrametricity. We also look at data compression based on a new ultrametric wavelet transform. We conclude with computational implications of prevalent and perhaps ubiquitous ultrametricity.

AB - The triangular inequality is a defining property of a metric space, while the stronger ultrametric inequality is a defining property of an ultrametric space. Ultrametric distance is defined from p-adic valuation. It is known that ultrametricity is a natural property of spaces that are sparse. Here we look at the quantification of ultrametricity. We also look at data compression based on a new ultrametric wavelet transform. We conclude with computational implications of prevalent and perhaps ubiquitous ultrametricity.

KW - ultrametricity

KW - ultrametric

M3 - Chapter

SN - 3540220143

T3 - Studies in Classification, Data Analysis &amp; Knowledge Organization

SP - 3

EP - 14

BT - Classification, Clustering, and Data Mining Applications

PB - Springer-Verlag

CY - Berlin

ER -