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» Reductions among high dimensional proximity problems
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SODA
2001
ACM
103views Algorithms» more  SODA 2001»
13 years 6 months ago
Reductions among high dimensional proximity problems
Ashish Goel, Piotr Indyk, Kasturi R. Varadarajan
SODA
2000
ACM
127views Algorithms» more  SODA 2000»
13 years 6 months ago
Dimensionality reduction techniques for proximity problems
In this paper we give approximation algorithms for several proximity problems in high dimensional spaces. In particular, we give the rst Las Vegas data structure for (1 + )-neares...
Piotr Indyk
MICAI
2005
Springer
13 years 10 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...
ICDE
2003
IEEE
193views Database» more  ICDE 2003»
14 years 6 months ago
An Adaptive and Efficient Dimensionality Reduction Algorithm for High-Dimensional Indexing
The notorious "dimensionality curse" is a well-known phenomenon for any multi-dimensional indexes attempting to scale up to high dimensions. One well known approach to o...
Hui Jin, Beng Chin Ooi, Heng Tao Shen, Cui Yu, Aoy...
ICDE
2007
IEEE
228views Database» more  ICDE 2007»
13 years 11 months ago
A General Cost Model for Dimensionality Reduction in High Dimensional Spaces
Similarity search usually encounters a serious problem in the high dimensional space, known as the “curse of dimensionality”. In order to speed up the retrieval efficiency, p...
Xiang Lian, Lei Chen 0002