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相关论文: Using Non-Negative Matrix Factorization to Improve…

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By combining related objects, unsupervised machine learning techniques aim to reveal the underlying patterns in a data set. Non-negative Matrix Factorization (NMF) is a data mining technique that splits data matrices by imposing…

人工智能 · 计算机科学 2023-08-10 Yasser Khalafaoui , Nistor Grozavu , Basarab Matei , Laurent-Walter Goix

As we all known, the nonnegative matrix factorization (NMF) is a dimension reduction method that has been widely used in image processing, text compressing and signal processing etc. In this paper, an algorithm for nonnegative matrix…

数值分析 · 数学 2013-05-27 Shu-Zhen Lai , Hou-Biao Li , Zu-Tao Zhang

Nonnegative matrix factorization (NMF) is a linear dimensionality technique for nonnegative data with applications such as image analysis, text mining, audio source separation and hyperspectral unmixing. Given a data matrix $M$ and a…

机器学习 · 计算机科学 2021-04-14 Junjun Pan , Nicolas Gillis

Non-negative Matrix Factorization (NMF) has proven to be a powerful unsupervised learning method for uncovering hidden features in complex and noisy data sets with applications in data mining, text recognition, dimension reduction, face…

Non-negative matrix factorization (NMF) has proved effective in many clustering and classification tasks. The classic ways to measure the errors between the original and the reconstructed matrix are $l_2$ distance or Kullback-Leibler (KL)…

计算机视觉与模式识别 · 计算机科学 2014-05-12 Le Li , Jianjun Yang , Kaili Zhao , Yang Xu , Honggang Zhang , Zhuoyi Fan

Nonnegative matrix factorization (NMF) is a popular model in the field of pattern recognition. It aims to find a low rank approximation for nonnegative data M by a product of two nonnegative matrices W and H. In general, NMF is NP-hard to…

机器学习 · 计算机科学 2021-09-07 Junjun Pan , Michael K. Ng

Hyperspectral images contain mixed pixels due to low spatial resolution of hyperspectral sensors. Spectral unmixing problem refers to decomposing mixed pixels into a set of endmembers and abundance fractions. Due to nonnegativity constraint…

计算机视觉与模式识别 · 计算机科学 2014-08-13 Roozbeh Rajabi , Hassan Ghassemian

We describe techniques concerning wavelength calibration and sky subtraction to maximise the scientific utility of data from tunable filter instruments. While we specifically address data from the Optical System for Imaging and low…

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

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

Molecular emission from the galactic and extragalactic interstellar medium (ISM) is often used to determine the physical conditions of the dense gas. However, even from spatially resolved regions, the observed molecules are not necessarily…

星系天体物理 · 物理学 2023-12-21 Damien de Mijolla , Jonathan Holdship , Serena Viti , Johannes Heyl

Collaborative filtering generates recommendations by exploiting user-item similarities based on rating data, which often contains numerous unrated items. To predict scores for unrated items, matrix factorization techniques such as…

统计力学 · 物理学 2025-07-30 Yukino Terui , Yuka Inoue , Yohei Hamakawa , Kosuke Tatsumura , Kazue Kudo

Dimensionality reduction and matrix factorization techniques are important and useful machine-learning techniques in many fields. Nonnegative matrix factorization (NMF) is particularly useful for spectral analysis and image processing in…

天体物理仪器与方法 · 物理学 2016-12-20 Guangtun Zhu

Non-line-of-Sight (NLOS) imaging systems collect light at a diffuse relay surface and input this measurement into computational algorithms that output a 3D volumetric reconstruction. These algorithms utilize the Fast Fourier Transform (FFT)…

图像与视频处理 · 电气工程与系统科学 2025-01-14 Talha Sultan , Alex Bocchieri , Chaoying Gu , Xiaochun Liu , Pavel Polynkin , Andreas Velten

Nonnegative matrix factorization (NMF) is a widely used tool for learning parts-based, low-dimensional representations of nonnegative data, with applications in vision, text, and bioinformatics. In clustering applications, orthogonal NMF…

机器学习 · 计算机科学 2025-12-10 Manh Nguyen , Daniel Pimentel-Alarcón

Non-negative matrix factorization (NMF) is a matrix decomposition problem with applications in unsupervised learning. The general form of this problem (along with many of its variants) is NP-hard in nature. In our work, we explore how this…

SCALES is a high-contrast, infrared coronagraphic imager and integral field spectrograph (IFS) to be deployed behind the W.M. Keck Observatory adaptive optics system. A reflective optical design allows diffraction-limited imaging over a…

Laser guide stars (LGSs) have been deployed for the last 20-30 years in ground-based astronomical telescopes to overcome the limited sky coverage of classical adaptive optics (AO) systems. Unfortunately, slow altitude drifts of the sodium…

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

Non-negative matrix factorization (NMF) is widely used for dimensionality reduction and interpretable analysis, but standard formulations are unsupervised and cannot directly exploit class labels. Existing supervised or semi-supervised…

机器学习 · 计算机科学 2025-10-14 Kenichi Satoh