Publications related to GPU Prefilter for Accurate Cubic B-spline Interpolation

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

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

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

Choreography Controlled (ChoCo) brain MRI artifact generation for labeled motion-corrupted datasets

Michel Kocher, François Lazeyras, Bastien Chopard, Sébastien Courvoisier, Julien Songeon

MRI is a non-invasive medical imaging modality that is sensitive to patient motion, which constitutes a major limitation in most clinical applications. Solutions may arise from the reduction of acquisition times or from motion-correction techniques, either ...

ELSEVIER SCI LTD2022

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

Fourier Interpolation From Spheres

Martin Peter Stoller

In every dimension d >= 2, we give an explicit formula that expresses the values of any Schwartz function on R-d only in terms of its restrictions, and the restrictions of its Fourier transform, to all origin-centered spheres whose radius is the square roo ...

AMER MATHEMATICAL SOC2021

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

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GPU Prefilter for Accurate Cubic B-spline Interpolation

Interpolation and Quantifiers in Ortholattices

Interpolation and Quantifiers in Ortholattices

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

Choreography Controlled (ChoCo) brain MRI artifact generation for labeled motion-corrupted datasets

On Linear Interpolation in the Latent Space of Deep Generative Models

Fourier Interpolation From Spheres

MATHICSE Technical Report : Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification

Computation of "Best" Interpolants in the Lp Sense

Graph Chatbot

Chat with Graph Search

Interpolation and Quantifiers in Ortholattices

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

Stable Nonconvex-Nonconcave Training via Linear Interpolation

On Linear Interpolation in the Latent Space of Deep Generative Models

MATHICSE Technical Report : Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification

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

Computation of "Best" Interpolants in the Lp Sense

Interpolation and Quantifiers in Ortholattices

Fourier Interpolation From Spheres

Choreography Controlled (ChoCo) brain MRI artifact generation for labeled motion-corrupted datasets