Publications associées à Spectral method

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Fourier-Domain Optimization for Image Processing

Sabine Süsstrunk, Radhakrishna Achanta, Majed El Helou, Frederike Dümbgen

Image optimization problems encompass many applications such as spectral fusion, deblurring, deconvolution, dehazing, matting, reflection removal and image interpolation, among others. With current image sizes in the order of megabytes, it is extremely exp ...

arXiv2018

On the inference speed and video-compression robustness of DeepLabCut

Alexander Mathis

Pose estimation is crucial for many applications in neuroscience, biomechanics, genetics and beyond. We recently presented a highly efficient method for markerless pose estimation based on transfer learning with deep neural networks called DeepLabCut. Curr ...

Animal Behavior and Cognition2018

Spectral methods for multiscale stochastic differential equations

Assyr Abdulle, Grigorios A. Pavliotis

This paper presents a new method for the solution of multiscale stochastic differential equations at the diffusive time scale. In contrast to averaging-based methods, e.g., the heterogeneous multiscale method (HMM) or the equation-free method, which rely o ...

2017

Criteria for the existence of a potential well

Charles Stuart

We consider a critical point u(0) of a functional f is an element of C-1 (H, R), where H is a real Hilbert space, and formulate criteria ensuring that u(0) lies in a potential well of f without supposing that f' is Frechet differentiable at u(0). The deriv ...

Pergamon-Elsevier Science Ltd2017

Spectral Methods for Hyperbolic Problems

Jan Sickmann Hesthaven

We review spectral methods for the solution of hyperbolic problems. To keep the discussion concise, we focus on Fourier spectral methods and address key issues of accuracy, stability, and convergence of the numerical approximations. Polynomial methods are ...

Elsevier Publishing2016

High order discontinuous Galerkin methods on simplicial elements for the elastodynamics equation

Alfio Quarteroni, Carlo Marcati

In this work we apply the discontinuous Galekin (dG) spectral element method on meshes made of simplicial elements for the approximation of the elastodynamics equation. Our approach combines the high accuracy of spectral methods, the geometrical flexibilit ...

Springer Verlag2016

Spectral methods for tempered fractional differential equations

Jan Sickmann Hesthaven, Lijing Zhao

In this paper, we first introduce fractional integral spaces, which possess some features: (i) when 0 < α < 1, functions in these spaces are not required to be zero on the boundary; (ii)the tempered fractional operators are equivalent to the Riemann-Liouvi ...

2016

A Spectral Method for Generating Surrogate Graph Signals

Dimitri Nestor Alice Van De Ville, Elvira Pirondini, Martina Coscia, Anna Vybornova

The increasing availability of network data is leading to a growing interest in processing of signals on graphs. One notable tool for extending conventional signal-processing operations to networks is the graph Fourier transform that can be obtained as the ...

Institute of Electrical and Electronics Engineers2016

Spectral method

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Fast hierarchical solvers for symmetric eigenvalue problems

Fourier-Domain Optimization for Image Processing

On the inference speed and video-compression robustness of DeepLabCut

Spectral methods for multiscale stochastic differential equations

Compressive Sampling Using Annihilating Filter-Based Low-Rank Interpolation

Criteria for the existence of a potential well

Spectral Methods for Hyperbolic Problems

High order discontinuous Galerkin methods on simplicial elements for the elastodynamics equation

Spectral methods for tempered fractional differential equations

A Spectral Method for Generating Surrogate Graph Signals

Fast hierarchical solvers for symmetric eigenvalue problems

Spectral Methods for Hyperbolic Problems

Fourier-Domain Optimization for Image Processing

Spectral methods for multiscale stochastic differential equations

Compressive Sampling Using Annihilating Filter-Based Low-Rank Interpolation

Criteria for the existence of a potential well

High order discontinuous Galerkin methods on simplicial elements for the elastodynamics equation

On the inference speed and video-compression robustness of DeepLabCut

Spectral methods for tempered fractional differential equations

A Spectral Method for Generating Surrogate Graph Signals