Publications associées à Interpolation linéaire

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

Stable Nonconvex-Nonconcave Training via Linear Interpolation

Volkan Cevher, Thomas Michaelsen Pethick, Wanyun Xie

This paper presents a theoretical analysis of linear interpolation as a principled method for stabilizing (large-scale) neural network training. We argue that instabilities in the optimization process are often caused by the nonmonotonicity of the loss lan ...

2023

Quadratic serendipity element shape functions on general planar polygons

Xiaodong Wei, Juan Cao

This paper proposes a method for the construction of quadratic serendipity element (QSE) shape functions on planar convex and concave polygons. Existing approaches for constructing QSE shape functions are linear combinations of the pair-wise products of ge ...

ELSEVIER SCIENCE SA2022

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 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 ...

2020

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

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Interpolation linéaire

Interpolation and Quantifiers in Ortholattices

Interpolation and Quantifiers in Ortholattices

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

Stable Nonconvex-Nonconcave Training via Linear Interpolation

Retraction-based numerical methods for continuation, interpolation and time integration on manifolds

Quadratic serendipity element shape functions on general planar polygons

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 Lp Sense

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

Graph Chatbot

Chattez avec Graph Search

On Linear Interpolation in the Latent Space of Deep Generative Models

Retraction-based numerical methods for continuation, interpolation and time integration on manifolds

Stable Nonconvex-Nonconcave Training via Linear Interpolation

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

Interpolation and Quantifiers in Ortholattices

Interpolation and Quantifiers in Ortholattices

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

Quadratic serendipity element shape functions on general planar polygons

Computation of "Best" Interpolants in the Lp Sense

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