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485,218
A geometric definition of Lie derivative
, 1996
"... Summary: Relying on the general theory of Lie derivatives a new geometric definition of Lie derivative for general spinor fields is given, more general than Kosmann’s one. It is shown that for particular infinitesimal lifts, i.e. for Kosmann vector fields, our definition coincides with the definitio ..."
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Summary: Relying on the general theory of Lie derivatives a new geometric definition of Lie derivative for general spinor fields is given, more general than Kosmann’s one. It is shown that for particular infinitesimal lifts, i.e. for Kosmann vector fields, our definition coincides
Learning the Kernel Matrix with SemiDefinite Programming
, 2002
"... Kernelbased learning algorithms work by embedding the data into a Euclidean space, and then searching for linear relations among the embedded data points. The embedding is performed implicitly, by specifying the inner products between each pair of points in the embedding space. This information ..."
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Cited by 780 (22 self)
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is contained in the socalled kernel matrix, a symmetric and positive definite matrix that encodes the relative positions of all points. Specifying this matrix amounts to specifying the geometry of the embedding space and inducing a notion of similarity in the input spaceclassical model selection
Dictionary of protein secondary structure: pattern recognition of hydrogenbonded and geometrical features
 Biopolymers
, 1983
"... structure ..."
Domain Theory
 Handbook of Logic in Computer Science
, 1994
"... Least fixpoints as meanings of recursive definitions. ..."
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Cited by 546 (25 self)
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Least fixpoints as meanings of recursive definitions.
A geometric definition of the AubryMather set
, 2010
"... Abstract. We study the Aubry set which appears in Mather theory of convex Hamiltonian systems from the point of view of symplectic geometry. Résumé. On étudie l’ensemble d’Aubry qui apparait dans la théorie de Mather des systèmes Hamiltoniens convexes du point de vue de la géométrie symplecti ..."
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Cited by 1 (0 self)
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Abstract. We study the Aubry set which appears in Mather theory of convex Hamiltonian systems from the point of view of symplectic geometry. Résumé. On étudie l’ensemble d’Aubry qui apparait dans la théorie de Mather des systèmes Hamiltoniens convexes du point de vue de la géométrie symplectique. Resumo Estudamos o conjunto de Aubry, que aparece na teoria de Mather em sistemas Hamiltonianos convexos, do ponto de vista da geometria simplética. MSC: 37J50, 37J05, 53D12, 57R17. ∗membre de l’IUF ha l0
Laplacian Eigenmaps and Spectral Techniques for Embedding and Clustering
 Advances in Neural Information Processing Systems 14
, 2001
"... Drawing on the correspondence between the graph Laplacian, the LaplaceBeltrami operator on a manifold, and the connections to the heat equation, we propose a geometrically motivated algorithm for constructing a representation for data sampled from a low dimensional manifold embedded in a higher ..."
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Cited by 664 (8 self)
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Drawing on the correspondence between the graph Laplacian, the LaplaceBeltrami operator on a manifold, and the connections to the heat equation, we propose a geometrically motivated algorithm for constructing a representation for data sampled from a low dimensional manifold embedded in a
Primitives for the manipulation of general subdivisions and the computations of Voronoi diagrams
 ACM Tmns. Graph
, 1985
"... The following problem is discussed: Given n points in the plane (the sites) and an arbitrary query point 4, find the site that is closest to q. This problem can be solved by constructing the Voronoi diagram of the given sites and then locating the query point in one of its regions. Two algorithms ar ..."
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Cited by 543 (11 self)
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to the separation of the geometrical and topological aspects of the problem and to the use of two simple but powerful primitives, a geometric predicate and an operator for manipulating the topology of the diagram. The topology is represented by a new data structure for generalized diagrams, that is, embeddings
A Survey of Medical Image Registration
, 1998
"... The purpose of this chapter is to present a survey of recent publications concerning medical image registration techniques. These publications will be classified according to a model based on nine salient criteria, the main dichotomy of which is extrinsic versus intrinsic methods The statistics of t ..."
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Cited by 540 (5 self)
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of the classification show definite trends in the evolving registration techniques, which will be discussed. At this moment, the bulk of interesting intrinsic methods is either based on segmented points or surfaces, or on techniques endeavoring to use the full information content of the images involved. Keywords
Results 1  10
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485,218