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» Sublinear Time Algorithms for Metric Space Problems
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COMPGEOM
2005
ACM
14 years 11 months ago
Fast construction of nets in low dimensional metrics, and their applications
We present a near linear time algorithm for constructing hierarchical nets in finite metric spaces with constant doubling dimension. This data-structure is then applied to obtain...
Sariel Har-Peled, Manor Mendel
DAWAK
2004
Springer
15 years 1 months ago
Space-Efficient Range-Sum Queries in OLAP
Abstract. In this paper, we present a fast algorithm to answer rangesum queries in OLAP data cubes. Our algorithm supports constanttime queries while maintaining sub-linear time up...
Fredrik Bengtsson, Jingsen Chen
FOCS
2008
IEEE
15 years 4 months ago
Noise Tolerance of Expanders and Sublinear Expander Reconstruction
We consider the problem of online sublinear expander reconstruction and its relation to random walks in “noisy” expanders. Given access to an adjacency list representation of ...
Satyen Kale, Yuval Peres, C. Seshadhri
STOC
2004
ACM
126views Algorithms» more  STOC 2004»
15 years 9 months 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
89
Voted
KDD
2006
ACM
142views Data Mining» more  KDD 2006»
15 years 10 months ago
Mining distance-based outliers from large databases in any metric space
Let R be a set of objects. An object o R is an outlier, if there exist less than k objects in R whose distances to o are at most r. The values of k, r, and the distance metric ar...
Yufei Tao, Xiaokui Xiao, Shuigeng Zhou