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APPROX
2010
Springer
160views Algorithms» more  APPROX 2010»
13 years 5 months ago
Proximity Algorithms for Nearly-Doubling Spaces
We introduce a new problem in the study of doubling spaces: Given a point set S and a target dimension d , remove from S the fewest number of points so that the remaining set has d...
Lee-Ad Gottlieb, Robert Krauthgamer
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...
ESA
2008
Springer
126views Algorithms» more  ESA 2008»
13 years 6 months ago
Space-Time Tradeoffs for Proximity Searching in Doubling Spaces
Abstract. We consider approximate nearest neighbor searching in metric spaces of constant doubling dimension. More formally, we are given a set S of n points and an error bound &g...
Sunil Arya, David M. Mount, Antoine Vigneron, Jian...
SPIRE
2005
Springer
13 years 10 months ago
Using the k-Nearest Neighbor Graph for Proximity Searching in Metric Spaces
Proximity searching consists in retrieving from a database, objects that are close to a query. For this type of searching problem, the most general model is the metric space, where...
Rodrigo Paredes, Edgar Chávez
SIAMJO
2011
12 years 11 months ago
Prox-Penalization and Splitting Methods for Constrained Variational Problems
This paper is concerned with the study of a class of prox-penalization methods for solving variational inequalities of the form Ax + NC (x) 0 where H is a real Hilbert space, A : H...
Hedy Attouch, Marc-Olivier Czarnecki, Juan Peypouq...