Results 11 to 20 of about 953 (217)
Geometric Deep Learning for Protein–Protein Interaction Predictions
IEEE Access, 2022 This work introduces novel approaches, based on geometrical deep learning, for predicting protein–protein interactions. A dataset containing both interacting and non-interacting proteins is selected from the Negatome Database.
Gabriel St-Pierre Lemieux +3 more
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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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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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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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Heat Kernel Expansions on the Integers [PDF]
Mathematical Physics, Analysis and Geometry, 2002 18 ...
Grünbaum, F. Alberto, Iliev, Plamen
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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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Cogent Engineering, 2023 The Superheated steam has been shown to be more effective than hot air for drying corn. Modeling studies have been carried out in fluidized bed dryers to determine the moisture and heat transfer characteristics of corn, but there are no modeling studies ...
Mercy Jepchirchir Kimwa +2 more
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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
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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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