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» A Computational Model for Metric Spaces
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COMPGEOM
2011
ACM
14 years 9 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
15 years 10 months 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
16 years 4 days 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
16 years 15 days 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»
15 years 7 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