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» The Geometry of Coin-Weighing Problems
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113
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COMPGEOM
2009
ACM
15 years 4 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
2009
ACM
15 years 4 months ago
Coresets for polytope distance
Following recent work of Clarkson, we translate the coreset framework to the problems of finding the point closest to the origin inside a polytope, finding the shortest distance...
Bernd Gärtner, Martin Jaggi
COMPGEOM
2009
ACM
15 years 4 months ago
Cache-oblivious range reporting with optimal queries requires superlinear space
We consider a number of range reporting problems in two and three dimensions and prove lower bounds on the amount of space used by any cache-oblivious data structure for these pro...
Peyman Afshani, Chris H. Hamilton, Norbert Zeh
COMPGEOM
2006
ACM
15 years 4 months ago
Colored intersection searching via sparse rectangular matrix multiplication
In a Batched Colored Intersection Searching Problem (CI), one is given a set of n geometric objects (of a certain class). Each object is colored by one of c colors, and the goal i...
Haim Kaplan, Micha Sharir, Elad Verbin
125
Voted
COMPGEOM
2011
ACM
14 years 1 months ago
Persistence-based clustering in riemannian manifolds
We present a clustering scheme that combines a mode-seeking phase with a cluster merging phase in the corresponding density map. While mode detection is done by a standard graph-b...
Frédéric Chazal, Leonidas J. Guibas,...