Search Results - Finite-dimensional approximation to coefficient kernel function

Function-on-Function Linear Regression by Signal Compression by Luo, Ruiyan, Qi, Xin

“…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 by Sun, Zhengjie, Ling, Leevan, Chen, Meng

“… 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 by Keren, Daniel

“… 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 by Delarue, François, Martini, Mattia

“…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 by Merkin, L. A., Rezin, R. M.

“…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 by Muratbekov, Mussakan, Abylayeva, Akbota, Muratbekov, Madi

“… 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 by Delarue, François, Martini, Mattia

“…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 by Li, Han-Xiong, Qi, Chenkun

“… 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 by Nelsen, Nicholas H, Stuart, Andrew M

“… 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 by Ragozin, D.L., Levesley, J.

“…” 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 by Taddei, Nicola, Maggioni, Riccardo, Eising, Jaap, De Pasquale, Giulia, Dörfler, Florian

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Covariant approximation schemes for calculation of the heat kernel in quantum field theory by Avramidi, Ivan G

“… 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 by Avramidi, Ivan G

“…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 by Peng, Jie, Paul, Debashis

“…, 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 by Berg, Christian, Peron, Ana P, Porcu, Emilio

“… 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 by Harrison, Melissa Lynn

“…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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