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COMPGEOM
2008
ACM
14 years 2 months ago
Towards persistence-based reconstruction in euclidean spaces
Manifold reconstruction has been extensively studied for the last decade or so, especially in two and three dimensions. Recent advances in higher dimensions have led to new method...
Frédéric Chazal, Steve Oudot
DCC
2006
IEEE
14 years 6 months ago
Quantization on the Complex Projective Space
This paper derives bounds on the distortion rate function for quantization on the complex projective space denoted as CPn−1 . In essence the problem of quantization in an Euclid...
Bishwarup Mondal, Satyaki Dutta, Robert W. Heath J...
SSDBM
2009
IEEE
149views Database» more  SSDBM 2009»
14 years 7 months ago
Reverse k-Nearest Neighbor Search Based on Aggregate Point Access Methods
Abstract. We propose an original solution for the general reverse k-nearest neighbor (RkNN) search problem in Euclidean spaces. Compared to the limitations of existing methods for ...
Hans-Peter Kriegel, Peer Kröger, Matthias Ren...
STOC
2004
ACM
126views Algorithms» more  STOC 2004»
15 years 23 days ago
Bypassing the embedding: algorithms for low dimensional metrics
The doubling dimension of a metric is the smallest k such that any ball of radius 2r can be covered using 2k balls of raThis concept for abstract metrics has been proposed as a na...
Kunal Talwar