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» Ideal decompositions and computation of tensor normal forms
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CORR
2002
Springer
123views Education» more  CORR 2002»
13 years 10 months ago
Ideal decompositions and computation of tensor normal forms
Abstract. Symmetry properties of r-times covariant tensors T can be described by certain linear subspaces W of the group ring K[Sr] of a symmetric group Sr. If for a class of tenso...
Bernd Fiedler
CORR
2008
Springer
104views Education» more  CORR 2008»
13 years 11 months ago
Stable normal forms for polynomial system solving
This paper describes and analyzes a method for computing border bases of a zero-dimensional ideal I. The criterion used in the computation involves specific commutation polynomial...
Bernard Mourrain, Philippe Trebuchet
CVPR
2005
IEEE
15 years 27 days ago
A Tensor Decomposition for Geometric Grouping and Segmentation
While spectral clustering has been applied successfully to problems in computer vision, their applicability is limited to pairwise similarity measures that form a probability matr...
Venu Madhav Govindu
ISSAC
2005
Springer
125views Mathematics» more  ISSAC 2005»
14 years 4 months ago
Generalized normal forms and polynomial system solving
This paper describes a new method for computing the normal form of a polynomial modulo a zero-dimensional ideal I. We give a detailed description of the algorithm, a proof of its ...
Bernard Mourrain
SKG
2006
IEEE
14 years 4 months ago
Functional Dependency Maintenance and Lossless Join Decomposition in XML Model Decomposition
The paper studies “equality” in XML model decomposition. XML IFD, TFD, AFD and MVD are proposed. According to complexity of these FDs, four XML normal forms are presented. FD ...
Xia Li, Fei-yue Ye, Hong-juan Yuan, Wen-tao Peng