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Non-negative matrix factorization (NMF) has become a popular method for representing meaningful data by extracting a non-negative basis feature from an observed non-negative data matrix. Some of the unique features of this method in…

最优化与控制 · 数学 2022-11-15 Sajad Fathi Hafshejani , Zahra Moaberfard

Nonnegative matrix factorization (NMF) is a powerful technique for dimension reduction, extracting latent factors and learning part-based representation. For large datasets, NMF performance depends on some major issues: fast algorithms,…

最优化与控制 · 数学 2015-07-01 Duy-Khuong Nguyen , Tu-Bao Ho

Nonnegative matrix factorization (NMF) is a powerful tool for data mining. However, the emergence of `big data' has severely challenged our ability to compute this fundamental decomposition using deterministic algorithms. This paper…

机器学习 · 统计学 2018-05-02 N. Benjamin Erichson , Ariana Mendible , Sophie Wihlborn , J. Nathan Kutz

Nonnegative matrix factorization (NMF) is one of the most frequently-used matrix factorization models in data analysis. A significant reason to the popularity of NMF is its interpretability and the `parts of whole' interpretation of its…

机器学习 · 计算机科学 2018-01-19 Sanjar Karaev , James Hook , Pauli Miettinen

Under challenging light conditions, captured images often suffer from various degradations, leading to a decline in the performance of vision-based applications. Although numerous methods have been proposed to enhance image quality, they…

计算机视觉与模式识别 · 计算机科学 2025-12-10 Jing Tao , You Li , Banglei Guan , Yang Shang , Qifeng Yu

Nonnegative matrix factorization (NMF) is a popular method used to reduce dimensionality in data sets whose elements are nonnegative. It does so by decomposing the data set of interest, $\mathbf{X}$, into two lower rank nonnegative matrices…

统计方法学 · 统计学 2021-07-05 Phillip Shreeves , Jeffrey L. Andrews , Xinchen Deng , Ramie Ali-Adeeb , Andrew Jirasek

Feature selection has remained a daunting challenge in machine learning and artificial intelligence, where increasingly complex, high-dimensional datasets demand principled strategies for isolating the most informative predictors. Despite…

机器学习 · 统计学 2025-12-02 Mousam Sinha , Tirtha Sarathi Ghosh , Ridam Pal

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…

声音 · 计算机科学 2016-11-17 Paul Magron , Roland Badeau , Bertrand David

Nonnegative matrix factorization (NMF), which is the approximation of a data matrix as the product of two nonnegative matrices, is a key issue in machine learning and data analysis. One approach to NMF is to formulate the problem as a…

最优化与控制 · 数学 2016-11-02 Hideaki Iiduka , Shizuka Nishino

Matrix decomposition is ubiquitous and has applications in various fields like speech processing, data mining and image processing to name a few. Under matrix decomposition, nonnegative matrix factorization is used to decompose a…

最优化与控制 · 数学 2019-05-14 R. Jyothi , P. Babu , R. Bahl

We introduce negative binomial matrix factorization (NBMF), a matrix factorization technique specially designed for analyzing over-dispersed count data. It can be viewed as an extension of Poisson matrix factorization (PF) perturbed by a…

机器学习 · 计算机科学 2018-01-08 Olivier Gouvert , Thomas Oberlin , Cédric Févotte

Matrix factorization has now become a dominant solution for personalized recommendation on the Social Web. To alleviate the cold start problem, previous approaches have incorporated various additional sources of information into traditional…

信息检索 · 计算机科学 2017-08-15 Zhenghua Xu , Cheng Chen , Thomas Lukasiewicz , Yishu Miao

Non-negative Matrix Factorization (NMF) is one of the most popular techniques for data representation and clustering, and has been widely used in machine learning and data analysis. NMF concentrates the features of each sample into a…

图像与视频处理 · 电气工程与系统科学 2021-03-26 Mulin Chen , Maoguo Gong , Xuelong Li

We apply the vectorized Non-negative Matrix Factorization (NMF) method to post-processing of direct imaging data for exoplanetary systems such as circumstellar disks. NMF is an iterative approach, which first creates a non-orthogonal and…

天体物理仪器与方法 · 物理学 2018-03-20 Bīn Rén , Laurent Pueyo , Guangtun Ben Zhu , John Debes , Gaspard Duchêne

Nonnegative matrix factorization (NMF) is now a common tool for audio source separation. When learning NMF on large audio databases, one major drawback is that the complexity in time is O(FKN) when updating the dictionary (where (F;N) is…

机器学习 · 统计学 2011-06-22 Augustin Lefèvre , Francis Bach , Cédric Févotte

Semi-Nonnegative Matrix Factorization (semi-NMF) extends classical Nonnegative Matrix Factorization (NMF) by allowing the basis matrix to contain both positive and negative entries, making it suitable for decomposing data with mixed signs.…

机器学习 · 计算机科学 2025-08-12 Lu Chenggang

Spectral unmixing is an important tool in hyperspectral data analysis for estimating endmembers and abundance fractions in a mixed pixel. This paper examines the applicability of a recently developed algorithm called graph regularized…

计算机视觉与模式识别 · 计算机科学 2011-11-04 Roozbeh Rajabi , Mahdi Khodadadzadeh , Hassan Ghassemian

Nonnegative matrix factorization (NMF) approximates a nonnegative matrix, $X$, by the product of two nonnegative factors, $WH$, where $W$ has $r$ columns and $H$ has $r$ rows. In this paper, we consider NMF using the component-wise L1 norm…

机器学习 · 计算机科学 2026-04-01 Giovanni Seraghiti , Kévin Dubrulle , Arnaud Vandaele , Nicolas Gillis

Fourier ptychography is a new computational microscopy technique that provides gigapixel-scale intensity and phase images with both wide field-of-view and high resolution. By capturing a stack of low-resolution images under different…

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…

信号处理 · 电气工程与系统科学 2026-05-27 Yasaman Torabi , Shahram Shirani , James P. Reilly