Publications related to Wavelet-Fourier CORSING techniques for multidimensional advection-diffusion-reaction equations

Méthodes numériques liées à la distribution d'alumine dans une cuve d'électrolyse d'aluminium

Metallic aluminium plays a key role in our modern economy. Primary metallic aluminium is produced by the transformation of aluminium oxide using the Hall-Héroult industrial process. This process, which requires enormous quantities of energy, consists in pe ...

EPFL2019

A Fourier-accelerated volume integral method for elastoplastic contact

Jean-François Molinari, Guillaume Anciaux, Lucas Henri Galilée Frérot

The contact of solids with rough surfaces plays a fundamental role in physical phenomena such as friction, wear, sealing, and thermal transfer. However, its simulation is a challenging problem due to surface asperities covering a wide range of length-scale ...

2019

MATHICSE Technical Report : Function integration, reconstruction and approximation using rank-1 lattices

Fabio Nobile, Giovanni Migliorati

We consider rank-1 lattices for integration and reconstruction of functions with series expansion supported on a finite index set. We explore the connection between the periodic Fourier space and the non-periodic cosine space and Chebyshev space, via tent ...

MATHICSE2019

Learning-Based Image Compression using Convolutional Autoencoder and Wavelet Decomposition

Touradj Ebrahimi, Pinar Akyazi

In this paper, a learning-based image compression method that employs wavelet decomposition as a preprocessing step is presented. The proposed convolutional autoencoder is trained end-to-end to yield a target bitrate smaller than 0.15 bits per pixel across ...

2019

Characteristics of a bridge condition assessment method based on state representation methodology (SRM) and damage detection sensitivity

Ayaho Miyamoto

The State Representation Methodology (SRM) combined with the Frequency Slice Wavelet Transform (FSWT), which is a new time-frequency analysis tool, is proposed for assessing the condition of bridges on the basis of bridge monitoring data. First, this paper ...

Springer2019

B-Spline-Based Exact Discretization of Continuous-Domain Inverse Problems With Generalized TV Regularization

Michaël Unser, Julien René Pierre Fageot, Harshit Gupta, Thomas Jean Debarre

We study continuous-domain linear inverse problems with generalized total-variation (gTV) regularization, expressed in terms of a regularization operator L. It has recently been proved that such inverse problems have sparse spline solutions, with fewer jum ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2019

A non-stationary stochastic ensemble generator for radar rainfall fields based on the short-space Fourier transform

Nikola Besic, Urs Martin Germann, Daniele Nerini

In this paper we present a non-stationary stochastic generator for radar rainfall fields based on the short-space Fourier transform (SSFT). The statistical properties of rainfall fields often exhibit significant spatial heterogeneity due to variability in ...

Copernicus GmbH2017

An Adaptive Sublinear-Time Block Sparse Fourier Transform

Volkan Cevher, Mikhail Kapralov, Jonathan Mark Scarlett, Amir Zandieh

The problem of approximately computing the

k

dominant Fourier coefficients of a vector

X

quickly, and using few samples in time domain, is known as the Sparse Fourier Transform (sparse FFT) problem. A long line of work on the sparse FFT has resulted in ...

2017

Sparse inverse problems for Fourier imaging

Anna Auria Rasclosa

Many natural images have low intrinsic dimension (a.k.a. sparse), meaning that they can be represented with very few coefficients when expressed in an adequate domain. The recent theory of Compressed Sensing exploits this property offering a powerful frame ...

EPFL2017

On the Continuous Steering of the Scale of Tight Wavelet Frames

Michaël Unser, Daniel Sage, Zsuzsanna Püspöki, John Paul Ward

In analogy with steerable wavelets, we present a general construction of adaptable tight wavelet frames, with an emphasis on scaling operations. In particular, the derived wavelets can be "dilated" by a procedure comparable to the operation of steering ste ...

SIAM2016

Wavelet-Fourier CORSING techniques for multidimensional advection-diffusion-reaction equations

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Méthodes numériques liées à la distribution d'alumine dans une cuve d'électrolyse d'aluminium

A Fourier-accelerated volume integral method for elastoplastic contact

MATHICSE Technical Report : Function integration, reconstruction and approximation using rank-1 lattices

Learning-Based Image Compression using Convolutional Autoencoder and Wavelet Decomposition

Characteristics of a bridge condition assessment method based on state representation methodology (SRM) and damage detection sensitivity

B-Spline-Based Exact Discretization of Continuous-Domain Inverse Problems With Generalized TV Regularization

A non-stationary stochastic ensemble generator for radar rainfall fields based on the short-space Fourier transform

An Adaptive Sublinear-Time Block Sparse Fourier Transform

Sparse inverse problems for Fourier imaging

On the Continuous Steering of the Scale of Tight Wavelet Frames

Méthodes numériques liées à la distribution d'alumine dans une cuve d'électrolyse d'aluminium

A Fourier-accelerated volume integral method for elastoplastic contact

A non-stationary stochastic ensemble generator for radar rainfall fields based on the short-space Fourier transform

MATHICSE Technical Report : Function integration, reconstruction and approximation using rank-1 lattices

Characteristics of a bridge condition assessment method based on state representation methodology (SRM) and damage detection sensitivity

On the Continuous Steering of the Scale of Tight Wavelet Frames

Learning-Based Image Compression using Convolutional Autoencoder and Wavelet Decomposition

B-Spline-Based Exact Discretization of Continuous-Domain Inverse Problems With Generalized TV Regularization

Sparse inverse problems for Fourier imaging

An Adaptive Sublinear-Time Block Sparse Fourier Transform