Publications associées à Ondelette de Haar

On the Sparsity of Wavelet Coefficients for Signals on Graphs

Pierre Vandergheynst, Benjamin Ricaud, David Shuman

A number of new localized, multiscale transforms have recently been introduced to analyze data residing on weighted graphs. In signal processing tasks such as regularization and compression, much of the power of classical wavelets on the real line is deriv ...

Spie-Int Soc Optical Engineering2013

Inference of Mobility Patterns via Spectral Graph Wavelets

Pascal Frossard, Pierre Vandergheynst, Xiaowen Dong

Modern data processing tasks frequently involve structured data, for example signals defined on the vertex set of a weighted graph. In this paper, we address the problem of inference of mobility patterns from data defined on geographical graphs based on sp ...

2013

Generalized Total Variation Denoising Via Augmented Lagrangian Cycle Spinning With Haar Wavelets

Michaël Unser, Emrah Bostan, Ulugbek Kamilov

We consider the denoising of signals and images using regularized least-squares method. In particular, we propose a simple minimization algorithm for regularizers that are functions of the discrete gradient. By exploiting the connection of the discrete gra ...

Ieee2012

Generalized Total Variation Denoising via Augmented Lagrangian Cycle Spinning with Haar Wavelets

Michaël Unser, Emrah Bostan, Ulugbek Kamilov

IEEE2012

Rate Distortion Behavior of Sparse Sources

Martin Vetterli

The rate distortion behavior of sparse memoryless sources is studied. These serve as models of sparse signal representations and facilitate the performance analysis of "sparsifying" transforms like the wavelet transform and nonlinear approximation schemes. ...

Institute of Electrical and Electronics Engineers2012

Spline- and Wavelet-based Models of Neural Activity in Response to Natural Visual Stimulation

Joao Emanuel Felipe Gerhard, Luca Szegletes

We present a comparative study of the performance of different basis functions for the nonparametric modeling of neural activity in response to natural stimuli. Based on naturalistic video sequences, a generative model of neural activity was created using ...

Ieee2012

Two-Dimensional Discrete Wavelet Transform on Large Images for Hybrid Computing Architectures: GPU and CELL

Pawel Lichocki

The Discrete Wavelet Transform (DWT) has gained the momentum in signal processing and image compression over the last decade bringing the concept up to the level of new image coding standard JPEG2000. Thanks to many added values in DWT, in particular inher ...

Springer Berlin Heidelberg2012

Semi-Supervised Learning with Spectral Graph Wavelets

Pierre Vandergheynst, David Shuman, Mohammadjavad Faraji

We consider the transductive learning problem when the labels belong to a continuous space. Through the use of spectral graph wavelets, we explore the benefits of multiresolution analysis on a graph constructed from the labeled and unlabeled data. The spec ...

2011

Filter Bank Fusion frames

Amina Chebira

In this paper we characterize and construct novel oversampled filter banks implementing fusion frames. A fusion frame is a sequence of orthogonal projection operators whose sum can be inverted in a numerically stable way. When properly designed, fusion fra ...

Institute of Electrical and Electronics Engineers2011

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Ondelette de Haar

On the Sparsity of Wavelet Coefficients for Signals on Graphs

Inference of Mobility Patterns via Spectral Graph Wavelets

Generalized Total Variation Denoising Via Augmented Lagrangian Cycle Spinning With Haar Wavelets

Generalized Total Variation Denoising via Augmented Lagrangian Cycle Spinning with Haar Wavelets

Rate Distortion Behavior of Sparse Sources

Spline- and Wavelet-based Models of Neural Activity in Response to Natural Visual Stimulation

Two-Dimensional Discrete Wavelet Transform on Large Images for Hybrid Computing Architectures: GPU and CELL

Semi-Supervised Learning with Spectral Graph Wavelets

Filter Bank Fusion frames

Optimally Localized Wavelets and Smoothing Kernels

Graph Chatbot

Chattez avec Graph Search

Rate Distortion Behavior of Sparse Sources

Inference of Mobility Patterns via Spectral Graph Wavelets

Generalized Total Variation Denoising via Augmented Lagrangian Cycle Spinning with Haar Wavelets

Optimally Localized Wavelets and Smoothing Kernels

Spline- and Wavelet-based Models of Neural Activity in Response to Natural Visual Stimulation

Semi-Supervised Learning with Spectral Graph Wavelets

Two-Dimensional Discrete Wavelet Transform on Large Images for Hybrid Computing Architectures: GPU and CELL

Filter Bank Fusion frames

Generalized Total Variation Denoising Via Augmented Lagrangian Cycle Spinning With Haar Wavelets

On the Sparsity of Wavelet Coefficients for Signals on Graphs