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SODA
2010
ACM
171views Algorithms» more  SODA 2010»
14 years 2 months ago
Coresets and Sketches for High Dimensional Subspace Approximation Problems
We consider the problem of approximating a set P of n points in Rd by a j-dimensional subspace under the p measure, in which we wish to minimize the sum of p distances from each p...
Dan Feldman, Morteza Monemizadeh, Christian Sohler...
CORR
2007
Springer
93views Education» more  CORR 2007»
13 years 5 months ago
Intrinsic dimension of a dataset: what properties does one expect?
— We propose an axiomatic approach to the concept of an intrinsic dimension of a dataset, based on a viewpoint of geometry of high-dimensional structures. Our first axiom postul...
Vladimir Pestov
TKDE
2011
332views more  TKDE 2011»
13 years 5 days ago
Adaptive Cluster Distance Bounding for High-Dimensional Indexing
—We consider approaches for similarity search in correlated, high-dimensional data-sets, which are derived within a clustering framework. We note that indexing by “vector appro...
Sharadh Ramaswamy, Kenneth Rose
STOC
1998
ACM
190views Algorithms» more  STOC 1998»
13 years 9 months ago
Efficient Search for Approximate Nearest Neighbor in High Dimensional Spaces
We address the problem of designing data structures that allow efficient search for approximate nearest neighbors. More specifically, given a database consisting of a set of vecto...
Eyal Kushilevitz, Rafail Ostrovsky, Yuval Rabani
RSA
2008
103views more  RSA 2008»
13 years 4 months ago
What is the furthest graph from a hereditary property?
For a graph property P, the edit distance of a graph G from P, denoted EP (G), is the minimum number of edge modifications (additions or deletions) one needs to apply to G in orde...
Noga Alon, Uri Stav