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CACM
2010
104views more  CACM 2010»
13 years 6 months ago
Faster dimension reduction
Data represented geometrically in high-dimensional vector spaces can be found in many applications. Images and videos, are often represented by assigning a dimension for every pix...
Nir Ailon, Bernard Chazelle
ICSOFT
2008
13 years 7 months ago
Relationship Between Fractal Dimension and Sensitivity Index of Product Packaging
Until now, the evaluation of product packaging has been performed subjectively since no other way existed. Previous research has also shown that people tend to prefer images with h...
Mayumi Oyama-Higa, Tiejun Miao
RSA
2010
81views more  RSA 2010»
13 years 4 months ago
Percolation of arbitrary words in one dimension
We consider a type of long-range percolation problem on the positive integers, motivated by earlier work of others on the appearance of (in)finite words within a site percolation...
Geoffrey R. Grimmett, Thomas M. Liggett, Thomas Ri...
ORDER
2002
107views more  ORDER 2002»
13 years 5 months ago
Order Dimension, Strong Bruhat Order and Lattice Properties for Posets
We determine the order dimension of the strong Bruhat order on finite Coxeter groups of types A, B and H. The order dimension is determined using a generalization of a theorem of D...
Nathan Reading
COCO
2001
Springer
122views Algorithms» more  COCO 2001»
13 years 10 months ago
Hausdorff Dimension in Exponential Time
In this paper we investigate effective versions of Hausdorff dimension which have been recently introduced by Lutz. We focus on dimension in the class E of sets computable in line...
Klaus Ambos-Spies, Wolfgang Merkle, Jan Reimann, F...