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Blind source separation (BSS) algorithms are unsupervised methods, which are the cornerstone of hyperspectral data analysis by allowing for physically meaningful data decompositions. BSS problems being ill-posed, the resolution requires…

Signal Processing · Electrical Eng. & Systems 2022-09-28 Rémi Carloni Gertosio , Jérôme Bobin , Fabio Acero

We revisit the source image estimation problem from blind source separation (BSS). We generalize the traditional minimum distortion principle to maximum likelihood estimation with a model for the residual spectrograms. Because residual…

Audio and Speech Processing · Electrical Eng. & Systems 2020-09-14 Robin Scheibler

We discuss a technique that allows blind recovery of signals or blind identification of mixtures in instances where such recovery or identification were previously thought to be impossible: (i) closely located or highly correlated sources…

Information Theory · Computer Science 2013-10-25 Lek-Heng Lim , Pierre Comon

Rapid and reliable detection and identification of unknown chemical substances is critical to homeland security. It is challenging to identify chemical components from a wide range of explosives. There are two key steps involved. One is a…

Numerical Analysis · Mathematics 2011-10-10 Y. Sun , J. Xin

Sparse principal component analysis (sPCA) enhances the interpretability of principal components (PCs) by imposing sparsity constraints on loading vectors (LVs). However, when used as a precursor to independent component analysis (ICA) for…

Computer Vision and Pattern Recognition · Computer Science 2024-11-20 Muhammad Usman Khalid

Blind source separation (BSS) techniques aims at joint estimation of source signals and a mixing matrix from observations of mixtures. This paper addresses a doubly nonstationary BSS problem, where the mixing matrix is time dependent and…

Signal Processing · Electrical Eng. & Systems 2019-06-25 Adrien Meynard

Blind source separation (BSS), i.e., the decoupling of unknown signals that have been mixed in an unknown way, has been a topic of great interest in the signal processing community for the last decade, covering a wide range of applications…

Machine Learning · Statistics 2016-03-11 Eleftherios Kofidis

Independent Component Analysis (ICA) was introduced in the 1980's as a model for Blind Source Separation (BSS), which refers to the process of recovering the sources underlying a mixture of signals, with little knowledge about the source…

Statistics Theory · Mathematics 2026-02-09 Syamantak Kumar , Purnamrita Sarkar , Peter Bickel , Derek Bean

The new generation of radio synthesis arrays, such as LOFAR and SKA, have been designed to surpass existing arrays in terms of sensitivity, angular resolution and frequency coverage. This evolution has led to the development of advanced…

Instrumentation and Methods for Astrophysics · Physics 2013-07-19 Sanaz Kazemi , Sarod Yatawatta , Saleem Zaroubi

The performance of deep learning models for music source separation heavily depends on training data quality. However, datasets are often corrupted by difficult-to-detect artifacts such as audio bleeding and label noise. Since the type and…

Audio and Speech Processing · Electrical Eng. & Systems 2025-10-20 Azalea Gui , Woosung Choi , Junghyun Koo , Kazuki Shimada , Takashi Shibuya , Joan Serrà , Wei-Hsiang Liao , Yuki Mitsufuji

In this paper we propose a method for separation of moving sound sources. The method is based on first tracking the sources and then estimation of source spectrograms using multichannel non-negative matrix factorization (NMF) and extracting…

Sound · Computer Science 2017-10-30 Joonas Nikunen , Aleksandr Diment , Tuomas Virtanen

Blind source separation algorithms such as independent component analysis (ICA) are widely used in the analysis of neuroimaging data. In order to leverage larger sample sizes, different data holders/sites may wish to collaboratively learn…

Missions such as WMAP or Planck measure full-sky fluctuations of the cosmic microwave background and foregrounds, among which bright compact source emissions cover a significant fraction of the sky. To accurately estimate the diffuse…

Instrumentation and Methods for Astrophysics · Physics 2015-06-19 F. C. Sureau , J. -L. Starck , J. Bobin , P. Paykari , A. Rassat

This paper presents Cram\'er-Rao Lower Bound (CRLB) for the complex-valued Blind Source Extraction (BSE) problem based on the assumption that the target signal is independent of the other signals. Two instantaneous mixing models are…

Statistics Theory · Mathematics 2020-10-28 Václav Kautský , Zbyněk Koldovský , Petr Tichavský , Vicente Zarzoso

(Abridged) We present a new method for detecting and measuring compact sources in conditions of intense, and highly variable, fore/background. While all most commonly used packages carry out the source detection over the signal image, our…

We give under weak assumptions a complete combinatorial characterization of identifiability for linear mixtures of finite alphabet sources, with unknown mixing weights and unknown source signals, but known alphabet. This is based on a…

Methodology · Statistics 2017-09-01 Merle Behr , Axel Munk

In this paper, we introduce a general extension of linear sparse component analysis (SCA) approaches to postnonlinear (PNL) mixtures. In particular, and contrary to the state-of-art methods, our approaches use a weak sparsity source…

Information Theory · Computer Science 2015-03-20 Matthieu Puigt , Anthony Griffin , Athanasios Mouchtaris

Third generation and future upgrades of current gravitational-wave detectors will present exquisite sensitivities which will allow to detect a plethora of gravitational wave signals. Hence, a new problem to be solved arises: the detection…

Instrumentation and Methods for Astrophysics · Physics 2024-09-11 Francesca Badaracco , Biswajit Banerjee , Marica Branchesi , Andrea Chincarini

An important preprocessing step in most data analysis pipelines aims to extract a small set of sources that explain most of the data. Currently used algorithms for blind source separation (BSS), however, often fail to extract the desired…

Machine Learning · Statistics 2018-03-26 Alexander Böttcher , Wieland Brendel , Bernhard Englitz , Matthias Bethge

We consider the detection of correlated information sources in the ubiquitous Code-Division Multiple-Access (CDMA) scheme. We propose a message-passing based scheme for detecting correlated sources directly, with no need for source coding.…

Information Theory · Computer Science 2010-03-24 Hadar Efraim , Nadav Yacov , Ori Shental , Ido Kanter