Výsledky vyhledávání - Finite-dimensional approximation to coefficient kernel function
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Function-on-Function Linear Regression by Signal Compression
ISSN: 0162-1459, 1537-274X, 1537-274XVydáno: Alexandria Taylor & Francis 01.06.2017Vydáno v Journal of the American Statistical Association (01.06.2017)“…We consider functional linear regression models with a functional response and multiple functional predictors, with the goal of finding the best finite-dimensional approximation to the signal part…”
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Structure-Preserving Kernel-Based Meshless Methods for Solving Dissipative PDEs on Surfaces
ISSN: 0885-7474, 1573-7691Vydáno: New York Springer US 01.03.2025Vydáno v Journal of scientific computing (01.03.2025)“… By posing the PDE in the variational formulation and simulating the solution in the finite-dimensional approximation space spanned by (local…”
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Applying reproducing kernels to the evaluation and approximation of the simple and time-dependent imaginary time harmonic oscillator path integrals
ISSN: 0003-6811, 1563-504XVydáno: Taylor & Francis Group 01.06.2006Vydáno v Applicable analysis (01.06.2006)“… This can be used to rederive the harmonic oscillator propagator, as well as to offer a finite-dimensional perturbative approximation scheme for the time-dependent oscillator wave function…”
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Fourier Galerkin approximation of mean field control problems
ISSN: 1021-9722, 1420-9004Vydáno: Cham Springer International Publishing 01.01.2025Vydáno v Nonlinear differential equations and applications (01.01.2025)“…The purpose of this work is to provide a finite dimensional approximation of the solution to a mean field optimal control problem set on the d -dimensional torus…”
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On Approximation of Transition Densities in Calibration of 1-Dimensional Stochastic Models of Asset Prices
ISSN: 1995-0802, 1818-9962Vydáno: Moscow Pleiades Publishing 01.02.2022Vydáno v Lobachevskii journal of mathematics (01.02.2022)“…For a 1-dimensional stochastic differential equation (SDE) of the type , where is e.g. the price of a certain financial asset, a Brownian motion and is a finite…”
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Estimates of singular numbers ( s$$ s $$‐numbers) and eigenvalues of a mixed elliptic‐hyperbolic type operator with parabolic degeneration
ISSN: 0170-4214, 1099-1476Vydáno: Freiburg Wiley Subscription Services, Inc 01.04.2023Vydáno v Mathematical methods in the applied sciences (01.04.2023)“… in ℝ=−∞,∞$$ \mathbb{R}=\left(-\infty, \infty \right) $$. The coefficients by$$ b(y) $$ and qy$$ q(y) $$ are continuous functions…”
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Fourier Galerkin approximation of mean field control problems
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 23.10.2024Vydáno v arXiv.org (23.10.2024)“…The purpose of this work is to provide a finite dimensional approximation of the solution to a mean field optimal control problem set on the \(d\)-dimensional torus…”
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Modeling of distributed parameter systems for applications—A synthesized review from time–space separation
ISSN: 0959-1524, 1873-2771Vydáno: Elsevier Ltd 01.09.2010Vydáno v Journal of process control (01.09.2010)“… The model reduction often works with selection of basis functions (BF). Combination of different BF and MR results in different approaches…”
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The Random Feature Model for Input-Output Maps between Banach Spaces
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 05.06.2021Vydáno v arXiv.org (05.06.2021)“… It is typically used to approximate functions mapping a finite-dimensional input space to the real line…”
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The Density of Translates of Zonal Kernels on Compact Homogeneous Spaces
ISSN: 0021-9045, 1096-0430Vydáno: Elsevier Inc 01.04.2000Vydáno v Journal of approximation theory (01.04.2000)“…” tori with the group of rotations in each coordinate direction, admit a natural notion of a continuous G-invariant kernel function k(x, y…”
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Distributed time-varying Gaussian process regression via Kalman filtering
ISSN: 0947-3580Vydáno: 01.09.2025Vydáno v European journal of control (01.09.2025)Získat plný text
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Covariant approximation schemes for calculation of the heat kernel in quantum field theory
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 14.09.1995Vydáno v arXiv.org (14.09.1995)“… We develop a new covariant purely algebraic approach for calculating the heat kernel diagonal in low-energy approximation by taking into account a finite number of low-order covariant derivatives…”
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Nonperturbative methods for calculating the heat kernel
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 29.02.1996Vydáno v arXiv.org (29.02.1996)“…We study the low-energy approximation for calculation of the heat kernel which is determined by the strong slowly varying background fields in strongly curved quasi-homogeneous manifolds…”
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A geometric approach to maximum likelihood estimation of the functional principal components from sparse longitudinal data
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 29.10.2007Vydáno v arXiv.org (29.10.2007)“…, the functional principal components) from sparse and irregularly observed longitudinal data. We approach this problem through a maximum likelihood method assuming that the covariance kernel is smooth and finite dimensional…”
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Schoenberg's theorem for real and complex Hilbert spheres revisited
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 25.01.2017Vydáno v arXiv.org (25.01.2017)“… Continuous functions f:\overline{\D}\times L\to \C such that f(\xi \cdot \eta,u^{-1}v) is a positive definite kernel on the product of the unit sphere in \ell_2(\C…”
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Frames and irregular sampling from a computational perspective
ISBN: 0591899086, 9780591899085Vydáno: ProQuest Dissertations & Theses 01.01.1998“…Reconstruction of a bandlimited function from its irregular samples can be accomplished, in theory, by use of an existing irregular sampling theorem based on nonharmonic exponential frames…”
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Dissertation

