Results 11 to 20 of about 32,857 (304)
Exact Heat Kernel on a Hypersphere and Its Applications in Kernel SVM
Frontiers in Applied Mathematics and Statistics, 2018 Many contemporary statistical learning methods assume a Euclidean feature space. This paper presents a method for defining similarity based on hyperspherical geometry and shows that it often improves the performance of support vector machine compared to ...
Chenchao Zhao +3 more
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Heat kernel for open manifolds
Differential Geometry and its Applications, 2010 In a 1991 paper by Buttig and Eichhorn, the existence and uniqueness of a differential forms heat kernel on open manifolds of bounded geometry was proven. In that paper, it was shown that the heat kernel obeyed certain properties, one of which was a relationship between the derivative of heat kernel of different degrees.
Jones, Trevor H.
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Generalized Heat Kernel Signatures. [PDF]
J. WSCG, 2011 In this work we propose a generalization of the Heat Kernel Signature (HKS). The HKS is a point signature derived from the heat kernel of the Laplace-Beltrami operator of a surface. In the theory of exterior calculus on a Riemannian manifold, the Laplace-Beltrami operator of a surface is a special case of the Hodge Laplacian which acts on r-forms, i. e.
Zobel, Valentin +2 more
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Convergence of approximate solutions by heat kernel for transport-diffusion equation in a half-plane [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022 In this paper, by using the heat kernel and the transport operator on each step of time discretization, approximate solutions for the transport-diffusion equation on the half-plane+2are constructed, and their convergence to a function which satisfies the
Meryem Aouaouda +2 more
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Unified heat kernel regression for diffusion, kernel smoothing and wavelets on manifolds and its application to mandible growth modeling in CT images [PDF]
Medical Image Analysis, 2015 Moo K Chung, Anqi Qiu, Seongho Seo
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The Heat Equation on Submanifolds in Lie Groups and Random Motions on Spheres
Mathematics, 2023 We studied the random variable Vt=volS2(gtB∩B), where B is a disc on the sphere S2 centered at the north pole and (gt)t≥0 is the Brownian motion on the special orthogonal group SO(3) starting at the identity.
Ibrahim Al-Dayel, Sharief Deshmukh
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Connecting quasinormal modes and heat kernels in 1-loop determinants
SciPost Physics, 2020 We connect two different approaches for calculating functional determinants on quotients of hyperbolic spacetime: the heat kernel method and the quasinormal mode method.
Cynthia Keeler, Victoria L. Martin, Andrew Svesko
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Capacity and the Corresponding Heat Semigroup Characterization from Dunkl-Bounded Variation
Fractal and Fractional, 2021 In this paper, we study some important basic properties of Dunkl-bounded variation functions. In particular, we derive a way of approximating Dunkl-bounded variation functions by smooth functions and establish a version of the Gauss–Green Theorem.
Xiangling Meng, Yu Liu, Xiangyun Xie
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Noncommutative Heat Kernel [PDF]
Letters in Mathematical Physics, 2004 We consider a natural generalisation of the Laplace type operators for the case of non-commutative (Moyal star) product. We demonstrate existence of a power law asymptotic expansion for the heat kernel of such operators on T^n. First four coefficients of this expansion are calculated explicitly.
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ON THE HEAT INTEGRAL IDENTITY FOR UNBOUNDED FUNCTIONS
Проблемы анализа, 2018 The well known heat integral identity in an unbounded strip is extended to a class of unbounded functions both at x near infinity and t near zero. Continuity of derivatives are relaxed to differentiability in the L^(1;loc)-Sobolev sense.
Biryuk A . +2 more
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