Results 11 to 20 of about 23,957,674 (349)
Asymptotic Analysis of Regular Sequences. [PDF]
Algorithmica, 2020 Abstract In this article, q-regular sequences in the sense of Allouche and Shallit are analysed asymptotically. It is shown that the summatory function of a regular sequence can asymptotically be decomposed as a finite sum of periodic fluctuations multiplied by a scaling factor. Each of these terms corresponds to an eigenvalue of the sum of matrices of
Heuberger C, Krenn D.
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Asymptotic analysis of Bragg fibers [PDF]
Optics Letters, 2000 Using an asymptotic analysis, we obtain an eigenvalue equation for the general mode dispersion in Bragg fibers. The asymptotic analysis is applied to calculate the dispersion relation and the field distribution of TE modes in a Bragg fiber. We compare the asymptotic results with exact solutions and find excellent agreement between them. This asymptotic
Y, Xu, R K, Lee, A, Yariv
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Asymptotic analysis of Painlevé’s paradox [PDF]
Multibody System Dynamics, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhao, Zhen +3 more
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Restoration-Degradation Beyond Linear Diffusions: A Non-Asymptotic Analysis For DDIM-Type Samplers [PDF]
International Conference on Machine Learning, 2023 We develop a framework for non-asymptotic analysis of deterministic samplers used for diffusion generative modeling. Several recent works have analyzed stochastic samplers using tools like Girsanov's theorem and a chain rule variant of the interpolation ...
Sitan Chen, G. Daras, A. Dimakis
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A Non-Asymptotic Analysis of Oversmoothing in Graph Neural Networks [PDF]
International Conference on Learning Representations, 2022 Oversmoothing is a central challenge of building more powerful Graph Neural Networks (GNNs). While previous works have only demonstrated that oversmoothing is inevitable when the number of graph convolutions tends to infinity, in this paper, we precisely
X. Wu +3 more
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Asymptotic data analysis on manifolds [PDF]
, 2007 Given an m-dimensional compact submanifold $\mathbf{M}$ of Euclidean space $\mathbf{R}^s$, the concept of mean location of a distribution, related to mean or expected vector, is generalized to more general $\mathbf{R}^s$-valued functionals including ...
Hendriks, Harrie, Landsman, Zinoviy
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Computation, 2022 For the inverse problem in physical models, one measures the solution and infers the model parameters using information from the collected data. Oftentimes, these data are inadequate and render the inverse problem ill-posed. We study the ill-posedness in
Qin Li, Kit Newton, Li Wang
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Nonlinear dynamics, 2023 In this paper, the Sasa-Satsuma equation in fluid dynamics and nonlinear optics is investigated. Starting from the first-order Darboux transformation, we construct an N -fold generalized Darboux transformation (GDT), where N is a positive integer ...
Xi-Hu Wu, Yi Gao, Xin Yu, Cui-Cui Ding
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Solvability of a fluid-structure interaction problem with semigroup theory
AIMS Mathematics, 2023 Continuous semigroup theory is applied to proof the existence and uniqueness of a solution to a fluid-structure interaction (FSI) problem of non-stationary Stokes flow in two bulk domains, separated by a 2D elastic, permeable plate. The plate's curvature
Maxime Krier , Julia Orlik
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