Results 11  20
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2,572
Nonlocal manifold tangent learning
 Advances in Neural Information Processing Systems 17
, 2005
"... We claim and present arguments to the effect that a large class of manifold learning algorithms that are essentially local and can be framed as kernel learning algorithms will suffer from the curse of dimensionality, at the dimension of the true underlying manifold. This observation suggests to expl ..."
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Cited by 28 (7 self)
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to explore nonlocal manifold learning algorithms which attempt to discover shared structure in the tangent planes at different positions. A criterion for such an algorithm is proposed and experiments estimating a tangent plane prediction function are presented, showing its advantages with respect to local
Tangent Tangent Plot
"... Abstract — In this paper, a novel signal processing method is suggested for classifying epileptic seizures. To this end, first the Tangent and Hyperbolic Tangent of signals are calculated and then are classified into two classes: normal (or interictal) and ictal, using a proposed classifier. The res ..."
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Abstract — In this paper, a novel signal processing method is suggested for classifying epileptic seizures. To this end, first the Tangent and Hyperbolic Tangent of signals are calculated and then are classified into two classes: normal (or interictal) and ictal, using a proposed classifier
Texture Synthesis over Arbitrary Manifold Surfaces
, 2001
"... Algorithms exist for synthesizing a wide variety of textures over rectangular domains. However, it remains difficult to synthesize general textures over arbitrary manifold surfaces. In this paper, we present a solution to this problem for surfaces defined by dense polygon meshes. Our solution extend ..."
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Cited by 161 (9 self)
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Algorithms exist for synthesizing a wide variety of textures over rectangular domains. However, it remains difficult to synthesize general textures over arbitrary manifold surfaces. In this paper, we present a solution to this problem for surfaces defined by dense polygon meshes. Our solution
THE TANGENT GROUPOID OF A HEISENBERG MANIFOLD
, 2004
"... Abstract. As a step toward proving an index theorem for hypoelliptic operators Heisenberg manifolds, including those on CR and contact manifolds, we construct an analogue for Heisenberg manifolds of Connes ’ tangent groupoid GM of a manifold M. As it is well known for a Heisenberg manifold (M, H) th ..."
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Cited by 10 (8 self)
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Abstract. As a step toward proving an index theorem for hypoelliptic operators Heisenberg manifolds, including those on CR and contact manifolds, we construct an analogue for Heisenberg manifolds of Connes ’ tangent groupoid GM of a manifold M. As it is well known for a Heisenberg manifold (M, H
Homology of pseudodifferential operators on manifolds with corners I. Manifolds with boundary
, 1996
"... Respectfully dedicate to Professor M. Sato on the occasion of his 70th birthday Abstract. Let X be a compact manifold with boundary. Suppose that the boundary is fibred, φ: ∂X − → Y, and let x ∈ C ∞ (X) be a boundary defining function. This data fixes the space of ‘fibred cusp ’ vector fields, consi ..."
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Cited by 137 (26 self)
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Respectfully dedicate to Professor M. Sato on the occasion of his 70th birthday Abstract. Let X be a compact manifold with boundary. Suppose that the boundary is fibred, φ: ∂X − → Y, and let x ∈ C ∞ (X) be a boundary defining function. This data fixes the space of ‘fibred cusp ’ vector fields
On manifolds with trivial logarithmic tangent bundle
 2004) Jörg Winkelmann, Institut Elie Cartan (Mathématiques), Université Henri Poincaré Nancy 1, B.P. 239,, F54506 VandœuvrelesNancy Cedex
"... Abstract. We study nonKähler manifolds with trivial logarithmic tangent bundle. We show that each such manifold arises as a fiber bundle with a compact complex parallelizable manifold as basis and a toric variety as fiber. 1. ..."
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Cited by 6 (0 self)
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Abstract. We study nonKähler manifolds with trivial logarithmic tangent bundle. We show that each such manifold arises as a fiber bundle with a compact complex parallelizable manifold as basis and a toric variety as fiber. 1.
Kähler manifolds with split tangent bundle
 Bull. Soc. Math. France
"... We study in this paper compact Kahler manifolds whose tangent bundle splits as a sum of two or more subbundles. The basic result that we prove is the following theorem. Theorem 1.1. Let M be a compact connected Kahler manifold. Suppose that its ..."
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Cited by 6 (1 self)
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We study in this paper compact Kahler manifolds whose tangent bundle splits as a sum of two or more subbundles. The basic result that we prove is the following theorem. Theorem 1.1. Let M be a compact connected Kahler manifold. Suppose that its
On the stability of the tangent bundle of Fano manifolds ∗
, 1994
"... A smooth variety X over the field of complex numbers C is called Fano if its anticanonical divisor −KX is ample. Stability (in the sense of Mumford and Takemoto) with respect to −KX of the tangent bundle TX can be considered as an algebraic analogue to the existence of a KählerEinstein metric on X, ..."
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Cited by 6 (0 self)
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A smooth variety X over the field of complex numbers C is called Fano if its anticanonical divisor −KX is ample. Stability (in the sense of Mumford and Takemoto) with respect to −KX of the tangent bundle TX can be considered as an algebraic analogue to the existence of a KählerEinstein metric on X
Results 11  20
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2,572