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» A Computational Model for Metric Spaces
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COMPGEOM
2011
ACM
12 years 11 months ago
Metric graph reconstruction from noisy data
Many real-world data sets can be viewed of as noisy samples of special types of metric spaces called metric graphs [16]. Building on the notions of correspondence and GromovHausdo...
Mridul Aanjaneya, Frédéric Chazal, D...
FOCS
1999
IEEE
14 years 23 hour ago
A Sublinear Time Approximation Scheme for Clustering in Metric Spaces
The metric 2-clustering problem is de ned as follows: given a metric (X;d), partition X into two sets S1 and S2 in order to minimize the value of X i X fu;vg Si d(u;v) In this pap...
Piotr Indyk
ICPR
2008
IEEE
14 years 2 months ago
Numerical analysis of Mahalanobis metric in vector space
The Mahalanobis metric was proposed by extending the Mahalanobis distance to provide a probabilistic distance for a non-normal distribution. The Mahalanobis metric equation is a n...
Joken Son, Naoya Inoue, Yukihiko Yamashita
BIRTHDAY
2009
Springer
14 years 2 months ago
The Weak Gap Property in Metric Spaces of Bounded Doubling Dimension
We introduce the weak gap property for directed graphs whose vertex set S is a metric space of size n. We prove that, if the doubling dimension of S is a constant, any directed gra...
Michiel H. M. Smid
SODA
2004
ACM
155views Algorithms» more  SODA 2004»
13 years 9 months ago
Navigating nets: simple algorithms for proximity search
d Abstract] Robert Krauthgamer James R. Lee We present a simple deterministic data structure for maintaining a set S of points in a general metric space, while supporting proximit...
Robert Krauthgamer, James R. Lee