Results 11 to 20 of about 181,310 (279)
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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On the non-local heat kernel expansion
Journal of Mathematical Physics, 2013 We propose a novel derivation of the non-local heat kernel expansion, first studied by Barvinsky, Vilkovisky and Avramidi, based on simple diagrammatic equations satisfied by the heat kernel. For Laplace-type differential operators we obtain the explicit
Alessandro Codello, Omar Zanusso
exaly +3 more sources
A novel cortical thickness estimation method based on volumetric Laplace-Beltrami operator and heat kernel. [PDF]
Med Image Anal, 2015 Wang G +6 more
europepmc +2 more sources
Heat Kernel Analysis of Syntactic Structures [PDF]
Mathematics in Computer Science, 2021 We consider two different data sets of syntactic parameters and we discuss how to detect relations between parameters through a heat kernel method developed by Belkin-Niyogi, which produces low dimensional representations of the data, based on Laplace eigenfunctions, that preserve neighborhood information.
Ortegaray, Andrew +2 more
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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.
openaire +2 more sources
Diagrams for heat kernel expansions [PDF]
, 2001 A diagramatic heat kernel expansion technique is presented. The method is especially well suited to the small-derivative expansion of the heat kernel, but it can also be used to reproduce the results obtained by the approach known as covariant ...
de Bruno F +14 more
core +2 more sources
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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Adaptive Graph Convolution Using Heat Kernel for Attributed Graph Clustering
Applied Sciences, 2020 Attributed graphs contain a lot of node features and structural relationships, and how to utilize their inherent information sufficiently to improve graph clustering performance has attracted much attention.
Danyang Zhu +3 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]
Med Image Anal, 2015 Chung MK, Qiu A, Seo S, Vorperian HK.
europepmc +2 more sources