Publications related to Wavelet Shrinkage With Consistent Cycle Spinning Generalizes Total Variation Denoising

Benefits Of Consistency In Image Denoising With Steerable Wavelets

Michaël Unser, Emrah Bostan, Ulugbek Kamilov, Bugra Tekin

The steerable wavelet transform is a redundant image representation with the remarkable property that its basis functions can be adaptively rotated to a desired orientation. This makes the transform well-suited to the design of wavelet-based algorithms app ...

Ieee2013

Benefits of Consistency in Image Denoising with Steerable Wavelets

Michaël Unser, Emrah Bostan, Ulugbek Kamilov

The steerable wavelet transform is a redundant image representation with the remarkable property that its basis functions can be adaptively rotated to a desired orientation. This makes the transform well-suited to the design of wavelet-based algorithms ap ...

IEEE2013

MMSE Estimation of Sparse Levy Processes

Michaël Unser, Arash Amini, Ulugbek Kamilov, Pedram Pad

We investigate a stochastic signal-processing framework for signals with sparse derivatives, where the samples of a Levy process are corrupted by noise. The proposed signal model covers the well-known Brownian motion and piecewise-constant Poisson process; ...

Ieee-Inst Electrical Electronics Engineers Inc2013

Bayesian Estimation for Continuous-Time Sparse Stochastic Processes

Michaël Unser, Arash Amini, Emrah Bostan, Ulugbek Kamilov

We consider continuous-time sparse stochastic processes from which we have only a finite number of noisy/noiseless samples. Our goal is to estimate the noiseless samples (denoising) and the signal in-between (interpolation problem). By relying on tools fro ...

Ieee-Inst Electrical Electronics Engineers Inc2013

Bayesian Denoising: From MAP to MMSE Using Consistent Cycle Spinning

Michaël Unser, Emrah Bostan, Ulugbek Kamilov, Abbas Kazerouni

We introduce a new approach for the implementation of minimum mean-square error (MMSE) denoising for signals with decoupled derivatives. Our method casts the problem as a penalized least-squares regression in the redundant wavelet domain. It exploits the l ...

Ieee-Inst Electrical Electronics Engineers Inc2013

Noncontacting benchtop measurements of the elastic properties of shales

Thomas Emmanuel Blum

We evaluated a laser-based noncontacting method to measure the elastic anisotropy of horizontal shale cores. Whereas conventional transducer data contained an ambiguity between phase and group velocity measurements, small laser source and receiver footprin ...

2013

Convex Generalizations of Total Variation Based on the Structure Tensor with Applications to Inverse Problems

Michaël Unser, Stamatios Lefkimmiatis

We introduce a generic convex energy functional that is suitable for both grayscale and vector-valued images. Our functional is based on the eigenvalues of the structure tensor, therefore it penalizes image variation at every point by taking into account t ...

Springer2013

Fast Proximal algorithms for Self-concordant function minimization with application to sparse graph selection

Volkan Cevher, Anastasios Kyrillidis

The convex

\ell_1

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\log\det

divergence criterion has been shown to produce theoretically consistent graph learning. However, this objective function is challenging since the

\ell_1

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\log\det

objective is n ...

2013

Compressible distributions for high-dimensional statistics

Volkan Cevher, Rémi Gribonval

We develop a principled way of identifying probability distributions whose independent and identically distributed realizations are compressible, i.e., can be well approximated as sparse. We focus on Gaussian compressed sensing, an example of underdetermin ...

Institute of Mathematical Statistics2012

Mmse Denoising Of Sparse Levy Processes Via Message Passing

Michaël Unser, Arash Amini, Ulugbek Kamilov

Many recent algorithms for sparse signal recovery can be interpreted as maximum-a-posteriori (MAP) estimators relying on some specific priors. From this Bayesian perspective, state-of-the-art methods based on discrete-gradient regularizers, such as total-v ...

Ieee2012

Wavelet Shrinkage With Consistent Cycle Spinning Generalizes Total Variation Denoising

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Benefits Of Consistency In Image Denoising With Steerable Wavelets

Benefits of Consistency in Image Denoising with Steerable Wavelets

MMSE Estimation of Sparse Levy Processes

Bayesian Estimation for Continuous-Time Sparse Stochastic Processes

Bayesian Denoising: From MAP to MMSE Using Consistent Cycle Spinning

Noncontacting benchtop measurements of the elastic properties of shales

Convex Generalizations of Total Variation Based on the Structure Tensor with Applications to Inverse Problems

Fast Proximal algorithms for Self-concordant function minimization with application to sparse graph selection

Compressible distributions for high-dimensional statistics

Mmse Denoising Of Sparse Levy Processes Via Message Passing

MMSE Estimation of Sparse Levy Processes

Bayesian Denoising: From MAP to MMSE Using Consistent Cycle Spinning

Noncontacting benchtop measurements of the elastic properties of shales

Benefits Of Consistency In Image Denoising With Steerable Wavelets

Convex Generalizations of Total Variation Based on the Structure Tensor with Applications to Inverse Problems

Fast Proximal algorithms for Self-concordant function minimization with application to sparse graph selection

Compressible distributions for high-dimensional statistics

Mmse Denoising Of Sparse Levy Processes Via Message Passing

Bayesian Estimation for Continuous-Time Sparse Stochastic Processes

Benefits of Consistency in Image Denoising with Steerable Wavelets