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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…

信号处理 · 电气工程与系统科学 2020-07-15 Valentin Leplat , Nicolas Gillis , Man Shun Ang

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…

机器学习 · 计算机科学 2012-04-12 Bin Shen , Luo Si , Rongrong Ji , Baodi Liu

Nonnegative matrix factorization (NMF) is a powerful class of feature extraction techniques that has been successfully applied in many fields, namely in signal and image processing. Current NMF techniques have been limited to a…

机器学习 · 统计学 2015-01-26 Paul Honeine , Fei Zhu

Non-negative matrix factorization (NMF) is a prob- lem with many applications, ranging from facial recognition to document clustering. However, due to the variety of algorithms that solve NMF, the randomness involved in these algorithms,…

数值分析 · 数学 2018-12-17 Connor Sell , Jeremy Kepner

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…

机器学习 · 计算机科学 2007-05-23 Patrik O. Hoyer

Audio segmentation is a key task for many speech technologies, most of which are based on neural networks, usually considered as black boxes, with high-level performances. However, in many domains, among which health or forensics, there is…

音频与语音处理 · 电气工程与系统科学 2024-06-21 Martin Lebourdais , Théo Mariotte , Antonio Almudévar , Marie Tahon , Alfonso Ortega

Nonnegative matrix factorization (NMF) has become a widely used tool for the analysis of high-dimensional data as it automatically extracts sparse and meaningful features from a set of nonnegative data vectors. We first illustrate this…

机器学习 · 统计学 2014-12-10 Nicolas Gillis

In this paper, we introduce and provide a short overview of nonnegative matrix factorization (NMF). Several aspects of NMF are discussed, namely, the application in hyperspectral imaging, geometry and uniqueness of NMF solutions,…

数值分析 · 计算机科学 2017-03-03 Nicolas Gillis

We introduce a new method based on nonnegative matrix factorization, Neural NMF, for detecting latent hierarchical structure in data. Datasets with hierarchical structure arise in a wide variety of fields, such as document classification,…

机器学习 · 计算机科学 2023-03-02 Tyler Will , Runyu Zhang , Eli Sadovnik , Mengdi Gao , Joshua Vendrow , Jamie Haddock , Denali Molitor , Deanna Needell

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.…

机器学习 · 统计学 2014-10-27 Jérémy Rapin , Jérôme Bobin , Anthony Larue , Jean-Luc Starck

The Nonnegative Matrix Factorization (NMF) of the rating matrix has shown to be an effective method to tackle the recommendation problem. In this paper we propose new methods based on the NMF of the rating matrix and we compare them with…

机器学习 · 计算机科学 2019-08-30 Gianna M. Del Corso , Francesco Romani

In this paper we address the problem of enhancing speech signals in noisy mixtures using a source separation approach. We explore the use of neural networks as an alternative to a popular speech variance model based on supervised…

声音 · 计算机科学 2019-02-06 Simon Leglaive , Laurent Girin , Radu Horaud

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…

数值分析 · 数学 2025-11-11 Junjun Pan , Valentin Leplat , Michael Ng , Nicolas Gillis

We present a novel game-theoretic formulation of Non-Negative Matrix Factorization (NNMF), a popular data-analysis method with many scientific and engineering applications. The game-theoretic formulation is shown to have favorable scaling…

计算机科学与博弈论 · 计算机科学 2021-04-13 Satpreet H. Singh

Non-negative matrix factorization (NMF) is a key technique for feature extraction and widely used in source separation. However, existing algorithms may converge to poor local minima, or to one of several minima with similar objective value…

机器学习 · 计算机科学 2024-10-30 Youdong Guo , Timothy E. Holy

Nonnegative Matrix Factorization (NMF) is the problem of approximating a nonnegative matrix with the product of two low-rank nonnegative matrices and has been shown to be particularly useful in many applications, e.g., in text mining, image…

最优化与控制 · 数学 2012-08-13 Nicolas Gillis , François Glineur

Nonnegative Matrix Factorization (NMF) aims to factorize a matrix into two optimized nonnegative matrices and has been widely used for unsupervised learning tasks such as product recommendation based on a rating matrix. However, although…

社会与信息网络 · 计算机科学 2015-04-03 Junyu Xuan , Jie Lu , Xiangfeng Luo , Guangquan Zhang

Nonnegative Matrix Factorization (NMF) has been a popular representation method for pattern classification problem. It tries to decompose a nonnegative matrix of data samples as the product of a nonnegative basic matrix and a nonnegative…

机器学习 · 统计学 2013-12-06 Jim Jing-Yan Wang

Symmetric Nonnegative Matrix Factorization (SNMF) models arise naturally as simple reformulations of many standard clustering algorithms including the popular spectral clustering method. Recent work has demonstrated that an elementary…

计算机视觉与模式识别 · 计算机科学 2016-09-20 Reza Borhani , Jeremy Watt , Aggelos Katsaggelos

In this work we perform some mathematical analysis on non-negative matrix factorizations (NMF) and apply NMF to some imaging and inverse problems. We will propose a sparse low-rank approximation of big positive data and images in terms of…

最优化与控制 · 数学 2015-04-24 Yat Tin Chow , Kazufumi Ito , Jun Zou