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Independent component analysis (ICA) is a widely used BSS method that can uniquely achieve source recovery, subject to only scaling and permutation ambiguities, through the assumption of statistical independence on the part of the latent…

Machine Learning · Statistics 2018-01-29 Zois Boukouvalas

This paper describes heavy-tailed extensions of a state-of-the-art versatile blind source separation method called fast multichannel nonnegative matrix factorization (FastMNMF) from a unified point of view. The common way of deriving such…

Sound · Computer Science 2022-05-12 Mathieu Fontaine , Kouhei Sekiguchi , Aditya Nugraha , Yoshiaki Bando , Kazuyoshi Yoshii

In this paper, we propose a new online independent vector analysis (IVA) algorithm for real-time blind source separation (BSS). In many BSS algorithms, the iterative projection (IP) has been used for updating the demixing matrix, a…

Audio and Speech Processing · Electrical Eng. & Systems 2022-09-05 Taishi Nakashima , Nobutaka Ono

We provide a new methodology for statistical recovery of single linear mixtures of piecewise constant signals (sources) with unknown mixing weights and change points in a multiscale fashion. We show exact recovery within an…

Methodology · Statistics 2017-08-31 Merle Behr , Chris Holmes , Axel Munk

With the abundance of machine learning methods available and the temptation of using them all in an ensemble method, having a model-agnostic method of feature selection is incredibly alluring. Principal component analysis was developed in…

Machine Learning · Computer Science 2020-06-24 Dan Schellhas , Bishal Neupane , Deepak Thammineni , Bhargav Kanumuri , Robert C. Green

Source separation can improve automatic speech recognition (ASR) under multi-party meeting scenarios by extracting single-speaker signals from overlapped speech. Despite the success of self-supervised learning models in single-channel…

Audio and Speech Processing · Electrical Eng. & Systems 2023-04-04 Yuang Li , Xianrui Zheng , Philip C. Woodland

The Laser Interferometer Space Antenna (LISA) will produce a data stream containing a vast number of overlapping sources: from strong signals generated by the coalescence of massive black hole binary systems to much weaker radiation form…

General Relativity and Quantum Cosmology · Physics 2009-11-11 E. D. L. Wickham , A. Stroeer , A. Vecchio

Multivariate measurements taken at different spatial locations occur frequently in practice. Proper analysis of such data needs to consider not only dependencies on-sight but also dependencies in and in-between variables as a function of…

Methodology · Statistics 2024-04-12 Christoph Muehlmann , Peter Filzmoser , Klaus Nordhausen

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

Independent component analysis (ICA) is a blind source separation method to recover source signals of interest from their mixtures. Most existing ICA procedures assume independent sampling. Second-order-statistics-based source separation…

Machine Learning · Statistics 2022-12-14 Seonjoo Lee , Haipeng Shen , Young K. Truong

We study the classical problem of recovering a multidimensional source signal from observations of nonlinear mixtures of this signal. We show that this recovery is possible (up to a permutation and monotone scaling of the source's original…

Machine Learning · Statistics 2023-01-18 Alexander Schell , Harald Oberhauser

Blind methods often separate or identify signals or signal subspaces up to an unknown scaling factor. Sometimes it is necessary to cope with the scaling ambiguity, which can be done through reconstructing signals as they are received by…

Sound · Computer Science 2017-08-02 Zbyněk Koldovský , Francesco Nesta

Independent component analysis (ICA) is a blind source separation method for linear disentanglement of independent latent sources from observed data. We investigate the special setting of noisy linear ICA where the observations are split…

Machine Learning · Computer Science 2023-03-06 Teodora Pandeva , Patrick Forré

A major goal in blind source separation to identify and separate sources is to model their inherent characteristics. While most state-of-the-art approaches are supervised methods trained on large datasets, interest in non-data-driven…

Sound · Computer Science 2018-02-19 Delia Fano Yela , Sebastian Ewert , Ken O'Hanlon , Mark B. Sandler

Deep learning-based motion deblurring techniques have advanced significantly in recent years. This class of techniques, however, does not carefully examine the inherent flaws in blurry images. For instance, low edge and structural…

Computer Vision and Pattern Recognition · Computer Science 2024-05-03 Nianzu Qiao , Lamei Di , Changyin Sun

The expansion of telecommunications incurs increasingly severe crosstalk and interference, and a physical layer cognitive method, called blind source separation (BSS), can effectively address these issues. BSS requires minimal prior…

Signal Processing · Electrical Eng. & Systems 2023-03-22 Weipeng Zhang , Alexander Tait , Chaoran Huang , Thomas Ferreira de Lima , Simon Bilodeau , Eric Blow , Aashu Jha , Bhavin J. Shastri , Paul Prucnal

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

This paper describes an efficient unsupervised learning method for a neural source separation model that utilizes a probabilistic generative model of observed multichannel mixtures proposed for blind source separation (BSS). For this…

Sound · Computer Science 2023-06-21 Yoshiaki Bando , Yoshiki Masuyama , Aditya Arie Nugraha , Kazuyoshi Yoshii

In Gaussian model-based multichannel audio source separation, the likelihood of observed mixtures of source signals is parametrized by source spectral variances and by associated spatial covariance matrices. These parameters are estimated…

Sound · Computer Science 2026-04-15 Mahmoud Fakhry , Piergiorgio Svaizer , Maurizio Omologo

We investigate the information processing of a linear mixture of independent sources of different magnitudes. In particular we consider the case where a number $m$ of the sources can be considered as ``strong'' as compared to the other…

Statistical Mechanics · Physics 2007-05-23 J. -P. Nadal , E. Korutcheva , F. Aires
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