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604
Splitting criterion for reflexive sheaves
"... The purpose of this paper is to study the structure of reflexive sheaves over projective spaces through hyperplane sections. We give a criterion for a reflexive sheaf to split into a direct sum of line bundles. An application to the theory of free hyperplane arrangements is also given. 0 Main Theore ..."
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Cited by 8 (2 self)
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The purpose of this paper is to study the structure of reflexive sheaves over projective spaces through hyperplane sections. We give a criterion for a reflexive sheaf to split into a direct sum of line bundles. An application to the theory of free hyperplane arrangements is also given. 0 Main
THE SPLITTING CRITERION OF KEMPF AND THE BABYLONIAN TOWER THEOREM
, 2004
"... We show that the idea used by Kempf (1990) in order to obtain a splitting criterion for vector bundles on projective spaces leads to an elementary proof of the Babylonian tower theorem for this class of bundles, a result due to Barth–Van de Ven ..."
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Cited by 3 (2 self)
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We show that the idea used by Kempf (1990) in order to obtain a splitting criterion for vector bundles on projective spaces leads to an elementary proof of the Babylonian tower theorem for this class of bundles, a result due to Barth–Van de Ven
A New Metric Splitting Criterion for Decision Trees
"... Abstract: We examine a new approach to building decision tree by introducing a geometric splitting criterion, based on the properties of a family of metrics on the space of partitions of a finite set. This criterion can be adapted to the characteristics of the data sets and the needs of the users an ..."
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Abstract: We examine a new approach to building decision tree by introducing a geometric splitting criterion, based on the properties of a family of metrics on the space of partitions of a finite set. This criterion can be adapted to the characteristics of the data sets and the needs of the users
Z Splitting Criterion for Growing Trees and Boosting
, 1999
"... A splitting criterion that arrives out of the context of a new boosting algorithm is used to construct classification trees. Trees constructed using this Z function are compared to those using the entropy function of C4.5 and are found to give much lower error rates. The Z function is also used to c ..."
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A splitting criterion that arrives out of the context of a new boosting algorithm is used to construct classification trees. Trees constructed using this Z function are compared to those using the entropy function of C4.5 and are found to give much lower error rates. The Z function is also used
A Discriminative Splitting Criterion for Phonetic Decision Trees
"... Phonetic decision trees are a key concept in acoustic modeling for large vocabulary continuous speech recognition. Although discriminative training has become a major line of research in speech recognition and all stateoftheart acoustic models are trained discriminatively, the conventional phonet ..."
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phonetic decision tree approach still relies on the maximum likelihood principle. In this paper we develop a splitting criterion based on the minimization of the classification error. An improvement of more than 10 % relative over a discriminatively trained baseline system on the Wall Street Journal corpus
A SPLITTING CRITERION FOR TWODIMENSIONAL SEMITORI
, 2003
"... Abstract. We investigate conditions under which a twodimensional complex semitorus splits into a direct product of C ∗ and a onedimensional compact complex torus. A semitorus is a complex Lie group arising as a quotient of the additive group of a complex vector space V by a discrete subgroup Γ wi ..."
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Abstract. We investigate conditions under which a twodimensional complex semitorus splits into a direct product of C ∗ and a onedimensional compact complex torus. A semitorus is a complex Lie group arising as a quotient of the additive group of a complex vector space V by a discrete subgroup Γ
A SPLITTING CRITERION FOR RANK 2 VECTOR BUNDLES ON HYPERSURFACES IN P 4
, 1998
"... madonna Abstract. We show that Horrocks ’ criterion for the splitting of rank two vector bundles in P 3 can be extended, with some assumptions on the Chern classes, on non singular hypersurfaces in P 4. Extension of other splitting criterions are studied. ..."
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madonna Abstract. We show that Horrocks ’ criterion for the splitting of rank two vector bundles in P 3 can be extended, with some assumptions on the Chern classes, on non singular hypersurfaces in P 4. Extension of other splitting criterions are studied.
A SPLITTING CRITERION FOR RANK 2 VECTOR BUNDLES ON HYPERSURFACES IN P 4
, 1998
"... madonna Abstract. We show that Horrocks ’ criterion for the splitting of rank two vector bundles in P 3 can be extended, with some assumptions on the Chern classes, on non singular hypersurfaces in P 4. Extension of other splitting criterions are studied. ..."
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madonna Abstract. We show that Horrocks ’ criterion for the splitting of rank two vector bundles in P 3 can be extended, with some assumptions on the Chern classes, on non singular hypersurfaces in P 4. Extension of other splitting criterions are studied.
Automatic Selection of Split Criterion during Tree Growing Based on Node Location
, 1995
"... Typically, decision tree construction algorithms apply a single "goodness of split" criterion to form each test node of the tree. It is a hypothesis of this research that better results can be obtained if during tree construction one applies a split criterion suited to the "location&q ..."
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Cited by 24 (1 self)
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Typically, decision tree construction algorithms apply a single "goodness of split" criterion to form each test node of the tree. It is a hypothesis of this research that better results can be obtained if during tree construction one applies a split criterion suited to the "
A SPLITTING CRITERION FOR VECTOR BUNDLES ON HIGHER DIMENSIONAL VARIETIES
, 2009
"... We generalize Horrocks ’ criterion for the splitting of vector bundles on projective space. We establish an analogous splitting criterion for vector bundles on arbitrary smooth complex projective varieties of dimension ≥ 4, which asserts that a vector bundle E on X splits iff its restriction E Y t ..."
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We generalize Horrocks ’ criterion for the splitting of vector bundles on projective space. We establish an analogous splitting criterion for vector bundles on arbitrary smooth complex projective varieties of dimension ≥ 4, which asserts that a vector bundle E on X splits iff its restriction E Y
Results 1  10
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604