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» On the Subgroup Distance Problem
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SODA
2003
ACM
100views Algorithms» more  SODA 2003»
13 years 8 months ago
Quantum algorithms for some hidden shift problems
Almost all of the most successful quantum algorithms discovered to date exploit the ability of the Fourier transform to recover subgroup structure of functions, especially periodi...
Wim van Dam, Sean Hallgren, Lawrence Ip
CINQ
2004
Springer
133views Database» more  CINQ 2004»
13 years 11 months ago
Inductive Querying for Discovering Subgroups and Clusters
We introduce the problem of cluster-grouping and show that it integrates several important data mining tasks, i.e. subgroup discovery, mining correlated patterns and aspects from c...
Albrecht Zimmermann, Luc De Raedt
TIT
2008
115views more  TIT 2008»
13 years 7 months ago
Affine Reflection Group Codes
This paper presents a construction of Slepian group codes from affine reflection groups. The solution to the initial vector and nearest distance problem is presented for all irred...
Terasan Niyomsataya, Ali Miri, Monica Nevins
SIAMCOMP
2008
80views more  SIAMCOMP 2008»
13 years 7 months ago
The Symmetric Group Defies Strong Fourier Sampling
Part I of this paper showed that the hidden subgroup problem over the symmetric group--including the special case relevant to Graph Isomorphism--cannot be efficiently solved by st...
Cristopher Moore, Alexander Russell, Leonard J. Sc...
ICDM
2010
IEEE
147views Data Mining» more  ICDM 2010»
13 years 5 months ago
Subgroup Discovery Meets Bayesian Networks -- An Exceptional Model Mining Approach
Whenever a dataset has multiple discrete target variables, we want our algorithms to consider not only the variables themselves, but also the interdependencies between them. We pro...
Wouter Duivesteijn, Arno J. Knobbe, Ad Feelders, M...