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ESA
1999
Springer
89views Algorithms» more  ESA 1999»
13 years 9 months ago
On the Informational Asymmetry between Upper and Lower Bounds for Ultrametric Evolutionary Trees
Abstract. This paper addresses the informational asymmetry for constructing an ultrametric evolutionary tree from upper and lower bounds on pairwise distances between n given speci...
Ting Chen, Ming-Yang Kao
CJ
2010
98views more  CJ 2010»
13 years 5 months ago
On Ultrametric Algorithmic Information
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 prac...
Fionn Murtagh
IGPL
2011
12 years 12 months ago
Existentially equivalent cyclic ultrametric spaces and cyclically valued groups
The notions of ultrametric distances and cyclic valuations appear when the set of values of the distance map is a cyclically ordered set. These structures can be described as subsp...
Gérard Leloup
COMPGEOM
2006
ACM
13 years 11 months ago
Embedding ultrametrics into low-dimensional spaces
We study the problem of minimum-distortion embedding of ultrametrics into the plane and higher dimensional spaces. Ultrametrics are a natural class of metrics that frequently occu...
Mihai Badoiu, Julia Chuzhoy, Piotr Indyk, Anastasi...
GFKL
2006
Springer
108views Data Mining» more  GFKL 2006»
13 years 8 months ago
Identifying and Exploiting Ultrametricity
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 va...
Fionn Murtagh