Results 21 to 30 of about 32,857 (304)
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.
Andrew Ortegaray +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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Scaling limit for the random walk on the largest connected component of the critical random graph [PDF]
, 2012 In this article, a scaling limit for the simple random walk on the largest connected component of the Erdos-Rényi random graph G(n,p) in the critical window, p = n−1+λn−4/3, is deduced.
Croydon, David A.
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Heat Kernel Expansions on the Integers [PDF]
Mathematical Physics, Analysis and Geometry, 2002 18 ...
Grünbaum, F. Alberto, Iliev, Plamen
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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
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The Heat Kernel on Hyperbolic Space [PDF]
Bulletin of the London Mathematical Society, 1998 A new proof of the explicit formula for the heat kernel on hyperbolic space is provided. This formula is due to \textit{H. P. McKean} [J. Differ. Geom. 4, 359-366 (1970; Zbl 0197.18003)] for the case of the two-dimensional hyperbolic space and to \textit{A. Debiard, B. Gaveau} and \textit{E. Mazet} [Publ. Res. Inst. Math. Sci., Kyoto Univ. 12, 391-425 (
Grigor'yan, Alexander, Noguchi, Masakazu
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Lack of controllability of the heat equation with memory [PDF]
, 2012 We consider a model for the heat equation with memory, which has infinite propagation speed, like the standard heat equation. We prove that, in spite of this, for every T > 0 there exist square integrable initial data which cannot be steered to hit zero ...
Andrei Halanay, Pandolfi, Luciano
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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 ...
Artiom Kovnatsky +3 more
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Variable Besov–Morrey Spaces Associated with Operators
Mathematics, 2023 Let (X,d,μ) be a space of homogenous type and L be a non-negative self-adjoint operator on L2(X) with heat kernels satisfying Gaussian upper bounds. In this paper, we introduce the variable Besov–Morrey space associated with the operator L and prove that
Khedoudj Saibi
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Volumetric heat kernel signatures [PDF]
Proceedings of the ACM workshop on 3D object retrieval, 2010 Invariant shape descriptors are instrumental in numerous shape analysis tasks including deformable shape comparison, registration, classification, and retrieval. Most existing constructions model a 3D shape as a two-dimensional surface describing the shape boundary, typically represented as a triangular mesh or a point cloud. Using intrinsic properties
Dan Raviv +3 more
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