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This paper addresses the problem of identifying a lower dimensional space where observed data can be sparsely represented. This under-complete dictionary learning task can be formulated as a blind separation problem of sparse sources…

Methodology · Statistics 2010-08-30 Nicolas Dobigeon , Jean-Yves Tourneret

We propose an algorithm for the blind separation of single-channel audio signals. It is based on a parametric model that describes the spectral properties of the sounds of musical instruments independently of pitch. We develop a novel…

Audio and Speech Processing · Electrical Eng. & Systems 2021-02-03 Sören Schulze , Emily J. King

This paper presents a new Bayesian collaborative sparse regression method for linear unmixing of hyperspectral images. Our contribution is twofold; first, we propose a new Bayesian model for structured sparse regression in which the…

Computation · Statistics 2023-07-19 Yoann Altmann , Marcelo Pereyra , Jose Bioucas-Dias

Simultaneous sparse approximation is a generalization of the standard sparse approximation, for simultaneously representing a set of signals using a common sparsity model. Generalizing the compressive sensing concept to the simultaneous…

Information Theory · Computer Science 2018-09-18 Arash Golibagh Mahyari , Selin Aviyente

Demixing refers to the challenge of identifying two structured signals given only the sum of the two signals and prior information about their structures. Examples include the problem of separating a signal that is sparse with respect to…

Information Theory · Computer Science 2015-03-20 Michael B. McCoy , Joel A. Tropp

The recently proposed multi-layer sparse model has raised insightful connections between sparse representations and convolutional neural networks (CNN). In its original conception, this model was restricted to a cascade of convolutional…

Image and Video Processing · Electrical Eng. & Systems 2018-07-26 Aviad Aberdam , Jeremias Sulam , Michael Elad

Sparse representations have emerged as a powerful tool in signal and information processing, culminated by the success of new acquisition and processing techniques such as Compressed Sensing (CS). Fusion frames are very rich new signal…

Information Theory · Computer Science 2011-06-20 Petros T. Boufounos , Gitta Kutyniok , Holger Rauhut

We take an information theoretic perspective on a classical sparse-sampling noisy linear model and present an analytical expression for the mutual information, which plays central role in a variety of communications/processing problems.…

Information Theory · Computer Science 2014-03-25 Wasim Huleihel , Neri Merhav , Shlomo Shamai

In support of applications involving multiview sources in distributed object recognition using lightweight cameras, we propose a new method for the distributed coding of sparse sources as visual descriptor histograms extracted from…

Computer Vision and Pattern Recognition · Computer Science 2016-07-19 Huynh Van Luong , Nikos Deligiannis , Søren Forchhammer , André Kaup

In this work, we propose a supervised, convex representation based audio hashing framework for bird species classification. The proposed framework utilizes archetypal analysis, a matrix factorization technique, to obtain convex-sparse…

Audio and Speech Processing · Electrical Eng. & Systems 2019-02-08 Anshul Thakur , Pulkit Sharma , Vinayak Abrol , Padmanabhan Rajan

In compressive sensing, a small collection of linear projections of a sparse signal contains enough information to permit signal recovery. Distributed compressive sensing (DCS) extends this framework by defining ensemble sparsity models,…

Information Theory · Computer Science 2013-03-29 Marco F. Duarte , Michael B. Wakin , Dror Baron , Shriram Sarvotham , Richard G. Baraniuk

Noisy labels can impair model performance, making the study of learning with noisy labels an important topic. Two conventional approaches are noise modeling and noise detection. However, these two methods are typically studied…

Computer Vision and Pattern Recognition · Computer Science 2023-12-05 Siqi Wang , Chau Pham , Bryan A. Plummer

This paper addresses the problem of localizing audio sources using binaural measurements. We propose a supervised formulation that simultaneously localizes multiple sources at different locations. The approach is intrinsically efficient…

Sound · Computer Science 2016-04-18 Antoine Deleforge , Radu Horaud , Yoav Schechner , Laurent Girin

Structured sparse coding and the related structured dictionary learning problems are novel research areas in machine learning. In this paper we present a new application of structured dictionary learning for collaborative filtering based…

Optimization and Control · Mathematics 2012-03-08 Zoltan Szabo , Barnabas Poczos , Andras Lorincz

A blind source separation method is described to extract sources from data mixtures where the underlying sources are assumed to be sparse and uncorrelated. The approach used is to detect and analyse segments of time where one source exists…

Signal Processing · Electrical Eng. & Systems 2018-02-06 Malcolm Woolfson

Received signal strength (RSS) based source localization method is popular due to its simplicity and low cost. However, this method is highly dependent on the propagation model which is not easy to be captured in practice. Moreover, most…

Signal Processing · Electrical Eng. & Systems 2020-08-26 Kangyong You , Wenbin Guo , Tao Peng , Yueliang Liu , Peiliang Zuo , Wenbo Wang

Singing voice separation attempts to separate the vocal and instrumental parts of a music recording, which is a fundamental problem in music information retrieval. Recent work on singing voice separation has shown that the low-rank…

Audio and Speech Processing · Electrical Eng. & Systems 2018-01-12 Tak-Shing T. Chan , Yi-Hsuan Yang

A popular approach within the signal processing and machine learning communities consists in modelling signals as sparse linear combinations of atoms selected from a learned dictionary. While this paradigm has led to numerous empirical…

Machine Learning · Computer Science 2015-08-25 Rémi Gribonval , Rodolphe Jenatton , Francis Bach

We consider the problem of sparse variable selection on high dimension heterogeneous data sets, which has been taking on renewed interest recently due to the growth of biological and medical data sets with complex, non-i.i.d. structures and…

Methodology · Statistics 2024-04-22 Hui Liu , Xiang Liu , Jing Diao , Wenting Ye , Xueling Liu , Dehui Wei

In this paper, a sparse-based method for the estimation of the parameters of multidimensional ($R$-D) modal (harmonic or damped) complex signals in noise is presented. The problem is formulated as $R$ simultaneous sparse approximations of…

Information Theory · Computer Science 2015-11-02 Souleymen Sahnoun , El-Hadi Djermoune , David Brie , Pierre Comon