Publications related to Variational Methods For Continuous-Domain Inverse Problems: the Quest for the Sparsest Solution

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Model-based Sketching and Recovery with Expanders

Volkan Cevher, Luca Baldassarre, Bubacarr Bah

Linear sketching and recovery of sparse vectors with randomly constructed sparse matrices has numerous applications in several areas, including compressive sensing, data stream computing, graph sketching, and combinatorial group testing. This paper conside ...

2014

Sparsity in tensor optimization for optical-interferometric imaging

Jean-Philippe Thiran, Yves Wiaux, Rafael Eduardo Carrillo Rangel, Anna Auria Rasclosa

Image recovery in optical interferometry is an ill-posed nonlinear inverse problem arising from incomplete power spectrum and bispectrum measurements. We review our previous work, which reformulates this nonlinear problem in the framework of tensor recover ...

IEEE2014

Near-Optimally Teaching the Crowd to Classify

Andreas Krause, Amin Karbasi, Ilija Bogunovic

How should we present training examples to learners to teach them classification rules? This is a natural problem when training workers for crowdsourcing labeling tasks, and is also moti- vated by challenges in data-driven online educa- tion. We propose a ...

2014

Bilinear Generalized Approximate Message Passing—Part II: Applications

Volkan Cevher

In this paper, we extend the generalized approximate message passing (G-AMP) approach, originally proposed for high-dimensional generalized-linear regression in the context of compressive sensing, to the generalized-bilinear case. In Part I of this two-par ...

Ieee-Inst Electrical Electronics Engineers Inc2014

Sparsity averaging for radio-interferometric imaging

Yves Wiaux, Rafael Eduardo Carrillo Rangel, Jason Douglas McEwen

We propose a novel regularization method for compressive imaging in the context of the CS theory with coherent and redundant dictionaries. The approach relies on the conjecture that natural images exhibit strong average sparsity over multiple coherent fram ...

2013

Anisotropic Interpolation of Sparse Generalized Image Samples

Michaël Unser, Aurélien Bourquard

Practical image-acquisition systems are often modeled as a continuous-domain prefilter followed by an ideal sampler, where generalized samples are obtained after convolution with the impulse response of the device. In this paper, our goal is to interpolate ...

Ieee-Inst Electrical Electronics Engineers Inc2013

Sparse projections onto the simplex

Volkan Cevher, Christoph Koch, Anastasios Kyrillidis

Most learning methods with rank or sparsity constraints use convex relaxations, which lead to optimization with the nuclear norm or the`1-norm. However, several important learning applications cannot benet from this approach as they feature these convex no ...

JMLR W&CP2013

On Sparsity Averaging

Yves Wiaux, Rafael Eduardo Carrillo Rangel, Jason Douglas McEwen

Recent developments in [1] and [2] introduced a novel regularization method for compressive imaging in the con- text of compressed sensing with coherent redundant dictionaries. The approach relies on the observation that natural images exhibit strong avera ...

2013

Variational Methods For Continuous-Domain Inverse Problems: the Quest for the Sparsest Solution

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Model-based Sketching and Recovery with Expanders

Sparsity in tensor optimization for optical-interferometric imaging

Near-Optimally Teaching the Crowd to Classify

Bilinear Generalized Approximate Message Passing—Part II: Applications

Geometric Variational Models for Inverse Problems in Imaging

Sparsity averaging for radio-interferometric imaging

Anisotropic Interpolation of Sparse Generalized Image Samples

Sparse projections onto the simplex

Sparse Distributed Learning Based on Diffusion Adaptation

On Sparsity Averaging

Model-based Sketching and Recovery with Expanders

Sparsity in tensor optimization for optical-interferometric imaging

Near-Optimally Teaching the Crowd to Classify

Bilinear Generalized Approximate Message Passing—Part II: Applications

Geometric Variational Models for Inverse Problems in Imaging

Sparsity averaging for radio-interferometric imaging

Anisotropic Interpolation of Sparse Generalized Image Samples

Sparse projections onto the simplex

Sparse Distributed Learning Based on Diffusion Adaptation

On Sparsity Averaging