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COMPGEOM
2007
ACM
13 years 9 months ago
A space-optimal data-stream algorithm for coresets in the plane
Given a point set P R2 , a subset Q P is an -kernel of P if for every slab W containing Q, the (1+)-expansion of W also contains P. We present a data-stream algorithm for mainta...
Pankaj K. Agarwal, Hai Yu
CCCG
2009
13 years 6 months ago
The Bichromatic Rectangle Problem in High Dimensions
Given a set of blue points and a set of red points in ddimensional space, we show how to find an axis-aligned hyperrectangle that contains no red points and as many blue points as...
Jonathan Backer, J. Mark Keil
ESA
2008
Springer
137views Algorithms» more  ESA 2008»
13 years 7 months ago
An Almost Space-Optimal Streaming Algorithm for Coresets in Fixed Dimensions
We present a new streaming algorithm for maintaining an -kernel of a point set in Rd using O((1/(d-1)/2 ) log(1/)) space. The space used by our algorithm is optimal up to a small ...
Hamid Zarrabi-Zadeh
FOCS
2006
IEEE
13 years 11 months ago
Near-Optimal Hashing Algorithms for Approximate Nearest Neighbor in High Dimensions
We present an algorithm for the c-approximate nearest neighbor problem in a d-dimensional Euclidean space, achieving query time of O(dn1/c2 +o(1) ) and space O(dn + n1+1/c2 +o(1) ...
Alexandr Andoni, Piotr Indyk
CCGRID
2010
IEEE
13 years 6 months ago
High Performance Dimension Reduction and Visualization for Large High-Dimensional Data Analysis
Abstract--Large high dimension datasets are of growing importance in many fields and it is important to be able to visualize them for understanding the results of data mining appro...
Jong Youl Choi, Seung-Hee Bae, Xiaohong Qiu, Geoff...