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» On Approximation Lower Bounds for TSP with Bounded Metrics
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COMBINATORICS
2002
62views more  COMBINATORICS 2002»
14 years 11 months ago
New Lower Bounds for Heilbronn Numbers
The n-th Heilbronn number, Hn, is the largest value such that n points can be placed in the unit square in such a way that all possible triangles defined by any three of the point...
Francesc Comellas, J. Luis A. Yebra
EDBT
2006
ACM
145views Database» more  EDBT 2006»
15 years 12 months ago
Indexing Spatially Sensitive Distance Measures Using Multi-resolution Lower Bounds
Abstract. Comparison of images requires a distance metric that is sensitive to the spatial location of objects and features. Such sensitive distance measures can, however, be compu...
Vebjorn Ljosa, Arnab Bhattacharya, Ambuj K. Singh
TOC
2008
94views more  TOC 2008»
14 years 11 months ago
Optimal lower bounds for the Korkine-Zolotareff parameters of a lattice and for Schnorr's algorithm for the shortest vector prob
Abstract: Schnorr's algorithm for finding an approximation for the shortest nonzero vector in an n-dimensional lattice depends on a parameter k. He proved that for a fixed k ...
Miklós Ajtai
FOCS
2008
IEEE
15 years 6 months ago
Shallow-Low-Light Trees, and Tight Lower Bounds for Euclidean Spanners
We show that for every n-point metric space M and positive integer k, there exists a spanning tree T with unweighted diameter O(k) and weight w(T) = O(k · n1/k ) · w(MST(M)), an...
Yefim Dinitz, Michael Elkin, Shay Solomon
PAMI
1998
100views more  PAMI 1998»
14 years 11 months ago
Hilbert-Schmidt Lower Bounds for Estimators on Matrix Lie Groups for ATR
—Deformable template representations of observed imagery, model the variability of target pose via the actions of the matrix Lie groups on rigid templates. In this paper, we stud...
Ulf Grenander, Michael I. Miller, Anuj Srivastava