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» Embedding a set of rational points in lower dimensions
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ICPR
2008
IEEE
15 years 6 months ago
Manifold denoising with Gaussian Process Latent Variable Models
For a finite set of points lying on a lower dimensional manifold embedded in a high-dimensional data space, algorithms have been developed to study the manifold structure. Howeve...
Yan Gao, Kap Luk Chan, Wei-Yun Yau
97
Voted
COMPGEOM
1995
ACM
15 years 3 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
SODA
2008
ACM
89views Algorithms» more  SODA 2008»
15 years 1 months ago
Earth mover distance over high-dimensional spaces
The Earth Mover Distance (EMD) between two equalsize sets of points in Rd is defined to be the minimum cost of a bipartite matching between the two pointsets. It is a natural metr...
Alexandr Andoni, Piotr Indyk, Robert Krauthgamer
ICASSP
2011
IEEE
14 years 3 months ago
Generalized Restricted Isometry Property for alpha-stable random projections
The Restricted Isometry Property (RIP) is an important concept in compressed sensing. It is well known that many random matrices satisfy the RIP with high probability, whenever th...
Daniel Otero, Gonzalo R. Arce
97
Voted
COMPGEOM
2003
ACM
15 years 5 months ago
The smallest enclosing ball of balls: combinatorial structure and algorithms
We develop algorithms for computing the smallest enclosing ball of a set of n balls in d-dimensional space. Unlike previous methods, we explicitly address small cases (n ≤ d + 1...
Kaspar Fischer, Bernd Gärtner