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A kernel compression scheme for fractional differential equations
Related publications (55)
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Double-fetch bugs are a plague across all major operating system kernels. They occur when data is fetched twice across the user/kernel trust boundary while allowing concurrent modification. Such bugs enable an attacker to illegally access memory, cause den ...
2022MATHICSE Technical Report : Density estimation in RKHS with application to Korobov spaces in high dimensions
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A kernel method for estimating a probability density function (pdf) from an i.i.d. sample drawn from such density is presented. Our estimator is a linear combination of kernel functions, the coefficients of which are determined by a linear equation. An err ...
MATHICSE2021Development of advanced linearized gyrokinetic collision operators using a moment approach
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The derivation and numerical implementation of a linearized version of the gyrokinetic (GK) Coulomb collision operator (Jorge et al., J. Plasma Phys., vol. 85, 2019, 905850604) and of the widely used linearized GK Sugama collision operator (Sugama et al., ...
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USENIX ASSOC2021MATHICSE Technical Report: Existence of dynamical low rank approximations for random semi-linear evolutionary equations on the maximal interval
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An existence result is presented for the dynamical low rank (DLR) approximation for random semi-linear evolutionary equations. The DLR solution approximates the true solution at each time instant by a linear combination of products of deterministic and sto ...
MATHICSE2020Existence of dynamical low rank approximations for random semi-linear evolutionary equations on the maximal interval
Fabio Nobile, Yoshihito Kazashi
An existence result is presented for the dynamical low rank (DLR) approximation for random semi-linear evolutionary equations. The DLR solution approximates the true solution at each time instant by a linear combination of products of deterministic and sto ...
2020Functional Inverse Problems on Spheres: Theory, Algorithms and Applications
Matthieu Martin Jean-André Simeoni
Many scientific inquiries in natural sciences involve approximating a spherical field -namely a scalar quantity defined over a continuum of directions- from generalised samples of the latter (e.g. directional samples, local averages, etc). Such an approxim ...
EPFL2020