Publications related to Sparse dictionary learning

Source Localization on Graphs via l1 Recovery and Spectral Graph Theory

Pierre Vandergheynst, Xavier Bresson, Rodrigo Cerqueira Gonzalez Pena

We cast the problem of source localization on graphs as the simultaneous problem of sparse recovery and diffusion ker- nel learning. An l1 regularization term enforces the sparsity constraint while we recover the sources of diffusion from a single snapshot ...

Ieee2016

Theory of representation learning in cortical neural networks

Carlos Stein Naves de Brito

Our brain continuously self-organizes to construct and maintain an internal representation of the world based on the information arriving through sensory stimuli. Remarkably, cortical areas related to different sensory modalities appear to share the same f ...

EPFL2016

Compressive PCA for Low-Rank Matrices on Graphs

Pierre Vandergheynst, Gilles Puy, Nathanaël Perraudin, Nauman Shahid

We introduce a novel framework for an approxi- mate recovery of data matrices which are low-rank on graphs, from sampled measurements. The rows and columns of such matrices belong to the span of the first few eigenvectors of the graphs constructed between ...

Ieee-Inst Electrical Electronics Engineers Inc2016

Seismic Simultaneous Source Separation via Patchwise Sparse Representation

Pascal Frossard, Yiren Zhou

The concept of simultaneous source has recently become of interest in seismic exploration, due to its efficient or economic acquisition or both. The blended data overlapped between shot records are acquired in simultaneous source acquisition. Separating th ...

Ieee-Inst Electrical Electronics Engineers Inc2016

Estimation Error of the Constrained Lasso

Volkan Cevher, Yen-Huan Li, Ya-Ping Hsieh, Nissim Zerbib

This paper presents a non-asymptotic upper bound for the estimation error of the constrained lasso, under the high-dimensional (

n \ll p

) setting. In contrast to existing results, the error bound in this paper is sharp, is valid when the parameter to be e ...

2016

Direct Temperature Map Estimation in Optical Long Baseline Interferometry

Alessio Ferrari, Ferréol Arnaud Marie Soulez

We present a method to recontruct temperature map directly from spectro-interferometric data. It uses a sparse coding method to describe each pixel as a blackbody. Results are shown on the Herbig Be HD98922. Aside from recovering the mean environment tempe ...

SPIE2016

The Velocity of the Propagating Wave for General Coupled Scalar Systems

Nicolas Macris, Rafah El-Khatib

We consider spatially coupled systems governed by a set of scalar density evolution equations. Such equations track the behavior of message-passing algorithms used, for example, in coding, sparse sensing, or constraint-satisfaction problems. Assuming that ...

Ieee2016

MATHICSE Technical Report : Fast computation of spectral projectors of banded matrices

Daniel Kressner, Ana Susnjara

We consider the approximate computation of spectral projectors for symmetric banded matrices. While this problem has received considerable attention, especially in the context of linear scaling electronic structure methods, the presence of small relative s ...

MATHICSE2016

Compressed imaging by sparse random convolution

Theo Lasser, Aurélien Bourquard, Antonio Lopez

The theory of compressed sensing (CS) shows that signals can be acquired at sub-Nyquist rates if they are sufficiently sparse or compressible. Since many images bear this property, several acquisition models have been proposed for optical CS. An interestin ...

Optical Society of America2016

Joint Anomaly Detection and Spectral Unmixing for Planetary Hyperspectral Images

Harold Gabriel Eugène Justin Clenet, Nicolas Courty

Hyperspectral (HS) images are commonly used in the context of planetary exploration, particularly for the analysis of the composition of planets. As several instruments have been sent throughout the Solar System, a huge quantity of data is getting availabl ...

Institute of Electrical and Electronics Engineers2016

Sparse dictionary learning

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Source Localization on Graphs via l1 Recovery and Spectral Graph Theory

Theory of representation learning in cortical neural networks

Compressive PCA for Low-Rank Matrices on Graphs

Seismic Simultaneous Source Separation via Patchwise Sparse Representation

Estimation Error of the Constrained Lasso

Direct Temperature Map Estimation in Optical Long Baseline Interferometry

The Velocity of the Propagating Wave for General Coupled Scalar Systems

MATHICSE Technical Report : Fast computation of spectral projectors of banded matrices

Compressed imaging by sparse random convolution

Joint Anomaly Detection and Spectral Unmixing for Planetary Hyperspectral Images

Source Localization on Graphs via l1 Recovery and Spectral Graph Theory

Compressive PCA for Low-Rank Matrices on Graphs

Theory of representation learning in cortical neural networks

Direct Temperature Map Estimation in Optical Long Baseline Interferometry

MATHICSE Technical Report : Fast computation of spectral projectors of banded matrices

The Velocity of the Propagating Wave for General Coupled Scalar Systems

Compressed imaging by sparse random convolution

Seismic Simultaneous Source Separation via Patchwise Sparse Representation

Estimation Error of the Constrained Lasso

Joint Anomaly Detection and Spectral Unmixing for Planetary Hyperspectral Images