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» On Approximating the Radii of Point Sets in High Dimensions
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417views
14 years 4 months ago
Data Structures and Algorithms for Nearest Neighbor Search in General Metric Spaces
We consider the computational problem of finding nearest neighbors in general metric spaces. Of particular interest are spaces that may not be conveniently embedded or approximate...
Peter N. Yianilos
MICAI
2005
Springer
14 years 1 months ago
Proximity Searching in High Dimensional Spaces with a Proximity Preserving Order
Abstract. Kernel based methods (such as k-nearest neighbors classifiers) for AI tasks translate the classification problem into a proximity search problem, in a space that is usu...
Edgar Chávez, Karina Figueroa, Gonzalo Nava...
COMPGEOM
2009
ACM
14 years 2 months ago
Integral estimation from point cloud in d-dimensional space: a geometric view
Integration over a domain, such as a Euclidean space or a Riemannian manifold, is a fundamental problem across scientific fields. Many times, the underlying domain is only acces...
Chuanjiang Luo, Jian Sun, Yusu Wang
COMPGEOM
1995
ACM
13 years 11 months ago
Approximate Range Searching
The range searching problem is a fundamental problem in computational geometry, with numerous important applications. Most research has focused on solving this problem exactly, bu...
Sunil Arya, David M. Mount
CIE
2010
Springer
14 years 13 days ago
Approximate Self-assembly of the Sierpinski Triangle
The Tile Assembly Model is a Turing universal model that Winfree introduced in order to study the nanoscale self-assembly of complex (typically aperiodic) DNA crystals. Winfree ex...
Jack H. Lutz, Brad Shutters