Results 11 to 20 of about 26,365 (167)
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
openaire +4 more sources
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
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
doaj +1 more source
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
doaj +1 more source
A Varadhan Estimate for Big Order Differential Generators
Computer Sciences & Mathematics Forum, 2023 We give a logarithmic estimate of an elliptic semi-group generated by a big-order generator by using the Malliavin Calculus of Bismut type and large deviation estimates.
Rémi Léandre
doaj +1 more source
Photometric Heat Kernel Signatures [PDF]
, 2012 In this paper, we explore the use of the diffusion geometry framework for the fusion of geometric and photometric information in local heat kernel signature shape descriptors. Our construction is based on the definition of a diffusion process on the shape manifold embedded into a high-dimensional space where the embedding coordinates represent the ...
Kovnatsky, Artiom +3 more
openaire +1 more source
Embeddings between Triebel-Lizorkin Spaces on Metric Spaces Associated with Operators
Analysis and Geometry in Metric Spaces, 2020 We consider the general framework of a metric measure space satisfying the doubling volume property, associated with a non-negative self-adjoint operator, whose heat kernel enjoys standard Gaussian localization.
Georgiadis Athanasios G. +1 more
doaj +1 more source
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
doaj +1 more source
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