Publications associées à Computation of "Best" Interpolants in the Lp Sense

Interpolation and Quantifiers in Ortholattices

Viktor Kuncak, Simon Guilloud, Sankalp Gambhir

We study quantifiers and interpolation properties in orthologic, a non-distributive weakening of classical logic that is sound for formula validity with respect to classical logic, yet has a quadratic-time decision procedure. We present a sequent-based pro ...

Cham2024

Interpolation and Quantifiers in Ortholattices

Viktor Kuncak, Simon Guilloud, Sankalp Gambhir

We study quantifiers and interpolation properties in ortho- logic, a non-distributive weakening of classical logic that is sound for formula validity with respect to classical logic, yet has a quadratic-time decision procedure. We present a sequent-based p ...

2024

Plug-and-play adaptive surrogate modeling of parametric nonlinear dynamics in frequency domain

Jürg Alexander Schiffmann, Phillip Huwiler, Davide Pradovera

We present an algorithm for constructing efficient surrogate frequency-domain models of (nonlinear) parametric dynamical systems in a non-intrusive way. To capture the dependence of the underlying system on frequency and parameters, our proposed approach c ...

2023

On Linear Interpolation in the Latent Space of Deep Generative Models

Quentin Christian Becker, Mike Yan Michelis

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 ...

2021

COMPUTATION 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 ...

IEEE2020

Entropy Stable Essentially Nonoscillatory Methods Based On Rbf Reconstruction

Jan Sickmann Hesthaven, Fabian Mönkeberg

To solve hyperbolic conservation laws we propose to use high-order essentially nonoscillatory methods based on radial basis functions. We introduce an entropy stable arbitrary high-order finite difference method (RBF-TeCNOp) and an entropy stable second or ...

EDP Sciences2019

Domain-Informed Spline Interpolation

Dimitri Nestor Alice Van De Ville, Hamid Behjat, Zafer Dogan

Standard interpolation techniques are implicitly based on the assumption that the signal lies on a single homogeneous domain. In contrast, many naturally occurring signals lie on an inhomogeneous domain, such as brain activity associated to different brain ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2019

Optimal Spline Generators for Derivative Sampling

Michaël Unser, Shayan Aziznejad, Alireza Naderi

The goal of derivative sampling is to reconstruct a signal from the samples of the function and of its first-order derivative. In this paper, we consider this problem over a shift-invariant reconstruction subspace generated by two compact-support functions ...

IEEE2019

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Computation of "Best" Interpolants in the Lp Sense

Interpolation and Quantifiers in Ortholattices

Interpolation and Quantifiers in Ortholattices

Plug-and-play adaptive surrogate modeling of parametric nonlinear dynamics in frequency domain

On Linear Interpolation in the Latent Space of Deep Generative Models

Remarks on Poincare and interpolation estimates for Truncated Hierarchical B-splines

COMPUTATION OF "BEST" INTERPOLANTS IN THE L-p SENSE

Entropy Stable Essentially Nonoscillatory Methods Based On Rbf Reconstruction

Domain-Informed Spline Interpolation

Analysis of Resonances in Periodic Metasurfaces through the Concept of Self-Coupling Mode

Optimal Spline Generators for Derivative Sampling

Graph Chatbot

Chattez avec Graph Search

Interpolation and Quantifiers in Ortholattices

Interpolation and Quantifiers in Ortholattices

COMPUTATION OF "BEST" INTERPOLANTS IN THE L-p SENSE

Remarks on Poincare and interpolation estimates for Truncated Hierarchical B-splines

Entropy Stable Essentially Nonoscillatory Methods Based On Rbf Reconstruction

On Linear Interpolation in the Latent Space of Deep Generative Models

Domain-Informed Spline Interpolation

Analysis of Resonances in Periodic Metasurfaces through the Concept of Self-Coupling Mode

Optimal Spline Generators for Derivative Sampling

Plug-and-play adaptive surrogate modeling of parametric nonlinear dynamics in frequency domain