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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

We extend frequency-domain blind source separation based on independent vector analysis to the case where there are more microphones than sources. The signal is modelled as non-Gaussian sources in a Gaussian background. The proposed…

Sound · Computer Science 2019-08-08 Robin Scheibler , Nobutaka Ono

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

We consider the problem of recovering a signal consisting of a superposition of point sources from low-resolution data with a cut-off frequency f. If the distance between the sources is under 1/f, this problem is not well posed in the sense…

Optimization and Control · Mathematics 2016-09-09 Carlos Fernandez-Granda

Music source separation is focused on extracting distinct sonic elements from composite tracks. Historically, many methods have been grounded in supervised learning, necessitating labeled data, which is occasionally constrained in its…

Sound · Computer Science 2023-11-23 Marco Pasini , Stefan Lattner , George Fazekas

This paper considers the problem of finding a low rank matrix from observations of linear combinations of its elements. It is well known that if the problem fulfills a restricted isometry property (RIP), convex relaxations using the nuclear…

Optimization and Control · Mathematics 2017-11-13 Carl Olsson , Marcus Carlsson , Erik Bylow

The integration of additional side information to improve music source separation has been investigated numerous times, e.g., by adding features to the input or by adding learning targets in a multi-task learning scenario. These approaches,…

Audio and Speech Processing · Electrical Eng. & Systems 2022-06-28 Yun-Ning Hung , Alexander Lerch

Given recent advances in deep music source separation, we propose a feature representation method that combines source separation with a state-of-the-art representation learning technique that is suitably repurposed for computer audition…

Sound · Computer Science 2020-12-08 Gabriel Mersy , Jin Hong Kuan

Tensor completion is a technique of filling missing elements of the incomplete data tensors. It being actively studied based on the convex optimization scheme such as nuclear-norm minimization. When given data tensors include some noises,…

Computer Vision and Pattern Recognition · Computer Science 2018-01-11 Tatsuya Yokota , Hidekata Hontani

Deep learning-based approaches to musical source separation are often limited to the instrument classes that the models are trained on and do not generalize to separate unseen instruments. To address this, we propose a few-shot musical…

Sound · Computer Science 2022-05-04 Yu Wang , Daniel Stoller , Rachel M. Bittner , Juan Pablo Bello

Significant challenges exist in efficient data analysis of most advanced experimental and observational techniques because the collected signals often include unwanted contributions--such as background and signal distortions--that can…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Yuan Ni , Zhantao Chen , Alexander N. Petsch , Edmund Xu , Cheng Peng , Alexander I. Kolesnikov , Sugata Chowdhury , Arun Bansil , Jana B. Thayer , Joshua J. Turner

The performance of audio source separation from underdetermined convolutive mixture assuming known mixing filters can be significantly improved by using an analysis sparse prior optimized by a reweighting l1 scheme and a wideband…

Sound · Computer Science 2015-06-18 Simon Arberet , Pierre Vandergheynst

Rank minimization is of interest in machine learning applications such as recommender systems and robust principal component analysis. Minimizing the convex relaxation to the rank minimization problem, the nuclear norm, is an effective…

Optimization and Control · Mathematics 2021-03-30 April Sagan , John E. Mitchell

Sound source separation has attracted attention from Music Information Retrieval(MIR) researchers, since it is related to many MIR tasks such as automatic lyric transcription, singer identification, and voice conversion. In this paper, we…

Sound · Computer Science 2018-10-31 Jaehoon Oh , Duyeon Kim , Se-Young Yun

The independent low-rank matrix analysis (ILRMA) method stands out as a prominent technique for multichannel blind audio source separation. It leverages nonnegative matrix factorization (NMF) and nonnegative canonical polyadic decomposition…

Sound · Computer Science 2024-05-07 Jianyu Wang , Shanzheng Guan

On the heels of compressed sensing, a remarkable new field has very recently emerged. This field addresses a broad range of problems of significant practical interest, namely, the recovery of a data matrix from what appears to be…

Information Theory · Computer Science 2009-03-19 Emmanuel J. Candes , Yaniv Plan

Nonnegative matrix factorization (NMF) is a linear dimensionality reduction technique for nonnegative data, with applications such as hyperspectral unmixing and topic modeling. NMF is a difficult problem in general (NP-hard), and its…

Numerical Analysis · Mathematics 2025-11-11 Junjun Pan , Valentin Leplat , Michael Ng , Nicolas Gillis

Multichannel blind audio source separation aims to recover the latent sources from their multichannel mixtures without supervised information. One state-of-the-art blind audio source separation method, named independent low-rank matrix…

Sound · Computer Science 2021-03-31 Jianyu Wang , Shanzheng Guan , Shupei Liu , Xiao-Lei Zhang

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

This paper deals with the problem of informed source separation (ISS), where the sources are accessible during the so-called \textit{encoding} stage. Previous works computed side-information during the encoding stage and source separation…

Sound · Computer Science 2022-02-21 Naoya Takahashi , Yuki Mitsufuji