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STOC
2004
ACM
126views Algorithms» more  STOC 2004»
14 years 10 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
ESA
2004
Springer
151views Algorithms» more  ESA 2004»
14 years 1 months ago
On Variable-Sized Multidimensional Packing
The main contribution of this paper is an optimal bounded space online algorithm for variable-sized multidimensional packing. In this problem, hyperboxes must be packed in ddimens...
Leah Epstein, Rob van Stee
FOCS
2003
IEEE
14 years 3 months ago
Quantum Search of Spatial Regions
: Can Grover’s algorithm speed up search of a physical region—for example a 2-D grid of size √ n × √ n? The problem is that √ n time seems to be needed for each query, j...
Scott Aaronson, Andris Ambainis
APPROX
2008
Springer
89views Algorithms» more  APPROX 2008»
13 years 11 months ago
Quantum and Randomized Lower Bounds for Local Search on Vertex-Transitive Graphs
We study the problem of local search on a graph. Given a real-valued black-box function f on the graph's vertices, this is the problem of determining a local minimum of f--a v...
Hang Dinh, Alexander Russell
ICAISC
2004
Springer
14 years 3 months ago
Visualization of Hidden Node Activity in Neural Networks: II. Application to RBF Networks
Scatterograms of the images of training set vectors in the hidden space help to evaluate the quality of neural network mappings and understand internal representations created by t...
Wlodzislaw Duch