Publication
Analysis of Resonances in Periodic Metasurfaces through the Concept of Self-Coupling Mode
Publications associées (43)
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The underlying geometrical structure of the latent space in deep generative models is in most cases not Euclidean, which may lead to biases when comparing interpolation capabilities of two models. Smoothness and plausibility of linear interpolations in lat ...
2021MATHICSE Technical Report : Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification
Fabio Nobile, Yoshihito Kazashi
This paper deals with the kernel-based approximation of a multivariate periodic function by interpolation at the points of an integration lattice---a setting that, as pointed out by Zeng, Leung, Hickernell (MCQMC2004, 2006) and Zeng, Kritzer, Hickernell (C ...
2020Computation of "Best" Interpolants in the Lp Sense
Michaël Unser, Pakshal Narendra Bohra
We study a variant of the interpolation problem where the continuously defined solution is regularized by minimizing the L p -norm of its second-order derivative. For this continuous-domain problem, we propose an exact discretization scheme that restricts ...
2020COMPUTATION OF "BEST" INTERPOLANTS IN THE L-p SENSE
Michaël Unser, Pakshal Narendra Bohra
We study a variant of the interpolation problem where the continuously defined solution is regularized by minimizing the L-p-norm of its second-order derivative. For this continuous-domain problem, we propose an exact discretization scheme that restricts t ...
IEEE2020Characterization of the traces on the boundary of functions in magnetic Sobolev spaces
We characterize the trace of magnetic Sobolev spaces defined in a half-space or in a smooth bounded domain in which the magnetic field Ais differentiable and its exterior derivative corresponding to the magnetic field dAis bounded. In particular, we prove ...
ACADEMIC PRESS INC ELSEVIER SCIENCE2020