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CIE
2005
Springer
13 years 10 months ago
Schnorr Dimension
Following Lutz’s approach to effective (constructive) dimension, we define a notion of dimension for individual sequences based on Schnorr’s concept(s) of randomness. In contr...
Rodney G. Downey, Wolfgang Merkle, Jan Reimann
CRYPTO
2006
Springer
119views Cryptology» more  CRYPTO 2006»
13 years 8 months ago
Rankin's Constant and Blockwise Lattice Reduction
Abstract Lattice reduction is a hard problem of interest to both publickey cryptography and cryptanalysis. Despite its importance, extremely few algorithms are known. The best algo...
Nicolas Gama, Nick Howgrave-Graham, Henrik Koy, Ph...
ICCV
2009
IEEE
1119views Computer Vision» more  ICCV 2009»
14 years 9 months ago
Spectral clustering of linear subspaces for motion segmentation
This paper studies automatic segmentation of multiple motions from tracked feature points through spectral embedding and clustering of linear subspaces. We show that the dimensi...
Fabien Lauer, Christoph Schn¨orr
CSL
2003
Springer
13 years 9 months ago
The Arithmetical Complexity of Dimension and Randomness
Constructive dimension and constructive strong dimension are effectivizations of the Hausdorff and packing dimensions, respectively. Each infinite binary sequence A is assigned...
John M. Hitchcock, Jack H. Lutz, Sebastiaan Terwij...
ECCC
2011
203views ECommerce» more  ECCC 2011»
12 years 8 months ago
Accelerated Slide- and LLL-Reduction
Abstract. Given an LLL-basis B of dimension n = hk we accelerate slide-reduction with blocksize k to run under a reasonable assumption within 1 6 n2 h log1+ε α local SVP-computat...
Claus-Peter Schnorr