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This paper investigates a non-negative matrix factorization (NMF)-based approach to the semi-supervised single-channel speech enhancement problem where only non-stationary additive noise signals are given. The proposed method relies on…

Sound · Computer Science 2013-09-25 Nikolay Lyubimov , Mikhail Kotov

Factor analysis is broadly used as a powerful unsupervised machine learning tool for reconstruction of hidden features in recorded mixtures of signals. In the case of a linear approximation, the mixtures can be decomposed by a variety of…

Machine Learning · Computer Science 2018-03-28 Filip L. Iliev , Valentin G. Stanev , Velimir V. Vesselinov , Boian S. Alexandrov

Auscultation provides a rich diversity of information to diagnose cardiovascular and respiratory diseases. However, sound auscultation is challenging due to noise. In this study, a modified version of the affine non-negative matrix…

Signal Processing · Electrical Eng. & Systems 2026-05-27 Yasaman Torabi , Shahram Shirani , James P. Reilly

Non-negative matrix factorization (NMF) is a dimensionality reduction technique that has shown promise for analyzing noisy data, especially astronomical data. For these datasets, the observed data may contain negative values due to noise…

Instrumentation and Methods for Astrophysics · Physics 2024-10-04 Dylan Green , Stephen Bailey

Time-frequency representation (TFR) is often used for non-stationary signal analysis. The most intuitive and interpretable TFR is the spectrogram. Recently, a concept of non-negative matrix factorization (NMF) has been successfully applied…

Signal Processing · Electrical Eng. & Systems 2024-03-20 Mateusz Gabor , Rafal Zdunek , Radoslaw Zimroz , Agnieszka Wylomanska

Non-negative blind source separation (non-negative BSS), which is also referred to as non-negative matrix factorization (NMF), is a very active field in domains as different as astrophysics, audio processing or biomedical signal processing.…

Machine Learning · Statistics 2014-10-27 Jérémy Rapin , Jérôme Bobin , Anthony Larue , Jean-Luc Starck

Distributed microphone arrays composed of multiple subarrays enable blind source separation over a wide spatial area. Directly applying fast multichannel nonnegative matrix factorization (FastMNMF) to all subarrays can exploit observations…

Audio and Speech Processing · Electrical Eng. & Systems 2026-05-20 Hirotaka Nishikori , Nobutaka Ito , Kouei Yamaoka , Norihiro Takamune , Hiroshi Saruwatari

In this paper, a parallel computing method is proposed to perform the background denoising and wheezing detection from a multi-channel recording captured during the auscultation process. The proposed system is based on a non-negative matrix…

Audio and Speech Processing · Electrical Eng. & Systems 2024-11-11 Antonio J. Muñoz-Montoro , Pablo Revuelta-Sanz , Damian Martínez-Muñoz , Juan Torre-Cruz , José Ranilla

Nonnegative Matrix Factorization (NMF) is a widely used technique in many applications such as face recognition, motion segmentation, etc. It approximates the nonnegative data in an original high dimensional space with a linear…

Machine Learning · Computer Science 2012-04-12 Bin Shen , Luo Si , Rongrong Ji , Baodi Liu

Non-negative matrix factorization (NMF) is a recently developed technique for finding parts-based, linear representations of non-negative data. Although it has successfully been applied in several applications, it does not always result in…

Machine Learning · Computer Science 2007-05-23 Patrik O. Hoyer

Non-negative Matrix Factorization (NMF) is a powerful technique for analyzing regularly-sampled data, i.e., data that can be stored in a matrix. For audio, this has led to numerous applications using time-frequency (TF) representations like…

Audio and Speech Processing · Electrical Eng. & Systems 2025-07-10 Krishna Subramani , Paris Smaragdis , Takuya Higuchi , Mehrez Souden

We propose a method for noise reduction, the task of producing a clean audio signal from a recording corrupted by additive noise. Many common approaches to this problem are based upon applying non-negative matrix factorization to…

Audio and Speech Processing · Electrical Eng. & Systems 2021-10-08 Andrew Sack , Wenzhao Jiang , Michael Perlmutter , Palina Salanevich , Deanna Needell

Nonnegative matrix factorization (NMF) factorizes a non-negative matrix into product of two non-negative matrices, namely a signal matrix and a mixing matrix. NMF suffers from the scale and ordering ambiguities. Often, the source signals…

Machine Learning · Computer Science 2015-05-05 Nirav Bhatt , Arun Ayyar

Nonnegative Matrix Factorization (NMF) is a versatile and powerful tool for discovering latent structures in data matrices, with many variations proposed in the literature. Recently, Leplat et al.\@ (2019) introduced a minimum-volume NMF…

Machine Learning · Statistics 2023-09-26 Duc Toan Nguyen , Eric C. Chi

We present a neural network that can act as an equivalent to a Non-Negative Matrix Factorization (NMF), and further show how it can be used to perform supervised source separation. Due to the extensibility of this approach we show how we…

Sound · Computer Science 2016-09-13 Paris Smaragdis , Shrikant Venkataramani

Nonnegative matrix factorization (NMF) is a linear dimensionality reduction technique for analyzing nonnegative data. A key aspect of NMF is the choice of the objective function that depends on the noise model (or statistics of the noise)…

Machine Learning · Computer Science 2021-02-10 Nicolas Gillis , Le Thi Khanh Hien , Valentin Leplat , Vincent Y. F. Tan

Nonnegative Matrix Factorization (NMF) is a powerful tool for decomposing mixtures of audio signals in the Time-Frequency (TF) domain. In applications such as source separation, the phase recovery for each extracted component is a major…

Sound · Computer Science 2016-11-17 Paul Magron , Roland Badeau , Bertrand David

Nonnegative Matrix Factorization (NMF) is a powerful tool for decomposing mixtures of audio signals in the Time-Frequency (TF) domain. In the source separation framework, the phase recovery for each extracted component is necessary for…

Sound · Computer Science 2016-11-17 Paul Magron , Roland Badeau , Bertrand David

Non-negative matrix factorization (NMF) is one of the most popular decomposition techniques for multivariate data. NMF is a core method for many machine-learning related computational problems, such as data compression, feature extraction,…

Numerical Analysis · Computer Science 2017-12-07 Gabriele Torre , Michael Graber

Considering a mixed signal composed of various audio sources and recorded with a single microphone, we consider on this paper the blind audio source separation problem which consists in isolating and extracting each of the sources. To…

Signal Processing · Electrical Eng. & Systems 2020-07-15 Valentin Leplat , Nicolas Gillis , Man Shun Ang
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