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Nonnegative matrix factorization (NMF) methods have proved to be powerful across a wide range of real-world clustering applications. Integrating multiple types of measurements for the same objects/subjects allows us to gain a deeper…

机器学习 · 计算机科学 2014-09-16 Daniel Hidru , Anna Goldenberg

Hyperspectral Imaging (HSI) combines microscopy and spectroscopy to assess the spatial distribution of spectroscopically active compounds in objects, and has diverse applications in food quality control, pharmaceutical processes, and waste…

图像与视频处理 · 电气工程与系统科学 2023-08-30 Mahdiyeh Ghaffari , Mickey C. J. Lukkien , Nematollah Omidikia , Gerjen H. Tinnevelt , Marcel C. P. van Eijk , Jeroen J. Jansen

Nonnegative Matrix Factorization (NMF) is a widely applied technique in the fields of machine learning and data mining. Graph Regularized Non-negative Matrix Factorization (GNMF) is an extension of NMF that incorporates graph regularization…

机器学习 · 计算机科学 2024-03-19 Zhen Wang , Wenwen Min

Hyperspectral images (HSI) have a large amount of spectral information reflecting the characteristics of matter, while their spatial resolution is low due to the limitations of imaging technology. Complementary to this are multispectral…

图像与视频处理 · 电气工程与系统科学 2023-07-10 Shuaikai Shi , Lijun Zhang , Jie Chen

Nonnegative matrix factorization (NMF) under the separability assumption can provably be solved efficiently, even in the presence of noise, and has been shown to be a powerful technique in document classification and hyperspectral unmixing.…

机器学习 · 统计学 2015-04-02 Nicolas Gillis , Stephen A. Vavasis

Nonnegative matrix factorization (NMF) is a popular method for audio spectral unmixing. While NMF is traditionally applied to off-the-shelf time-frequency representations based on the short-time Fourier or Cosine transforms, the ability to…

机器学习 · 统计学 2018-11-07 Pierre Ablin , Dylan Fagot , Herwig Wendt , Alexandre Gramfort , Cédric Févotte

Traditional hyperspectral unmixing methods neglect the underlying variability of spectral signatures often observed in typical hyperspectral images (HI), propagating these missmodeling errors throughout the whole unmixing process. Attempts…

计算机视觉与模式识别 · 计算机科学 2019-10-25 Tales Imbiriba , Ricardo Augusto Borsoi , José Carlos Moreira Bermudez

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…

音频与语音处理 · 电气工程与系统科学 2026-05-20 Hirotaka Nishikori , Nobutaka Ito , Kouei Yamaoka , Norihiro Takamune , Hiroshi Saruwatari

A semi-supervised Partial Membership Latent Dirichlet Allocation approach is developed for hyperspectral unmixing and endmember estimation while accounting for spectral variability and spatial information. Partial Membership Latent…

计算机视觉与模式识别 · 计算机科学 2017-03-21 Sheng Zou , Hao Sun , Alina Zare

This paper presents a new Bayesian model and algorithm for nonlinear unmixing of hyperspectral images. The model proposed represents the pixel reflectances as linear combinations of the endmembers, corrupted by nonlinear (with respect to…

统计方法学 · 统计学 2015-10-06 Yoann Altmann , Marcelo Pereyra , Stephen McLaughlin

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

Neural Radiance Field (NeRF)-based segmentation methods focus on object semantics and rely solely on RGB data, lacking intrinsic material properties. This limitation restricts accurate material perception, which is crucial for robotics,…

图像与视频处理 · 电气工程与系统科学 2025-08-07 Fabian Perez , Sara Rojas , Carlos Hinojosa , Hoover Rueda-Chacón , Bernard Ghanem

In this paper, we develop structure assisted nonnegative matrix factorization (NMF) methods for blind source separation of degenerate data. The motivation originates from nuclear magnetic resonance (NMR) spectroscopy, where a multiple…

数值分析 · 数学 2021-03-10 Yuanchang Sun , Kai Huang , Jack Xin

Linear spectral mixture models (LMM) provide a concise form to disentangle the constituent materials (endmembers) and their corresponding proportions (abundance) in a single pixel. The critical challenges are how to model the spectral prior…

计算机视觉与模式识别 · 计算机科学 2025-12-11 Yimin Zhu , Lincoln Linlin Xu

Spectral unmixing (SU) expresses the mixed pixels existed in hyperspectral images as the product of endmember and abundance, which has been widely used in hyperspectral imagery analysis. However, the influence of light, acquisition…

图像与视频处理 · 电气工程与系统科学 2022-06-27 Ge Zhang , Shaohui Mei , Mingyang Ma , Yan Feng , Qian Du

Hyperspectral unmixing (HU) is crucial for analyzing hyperspectral imagery, yet achieving accurate unmixing remains challenging. While traditional methods struggle to effectively model complex spectral-spatial features, deep learning…

计算机视觉与模式识别 · 计算机科学 2026-04-14 Chentong Wang , Jincheng Gao , Fei Zhu , Jie Chen

Spectral pixels are often a mixture of the pure spectra of the materials, called endmembers, due to the low spatial resolution of hyperspectral sensors, double scattering, and intimate mixtures of materials in the scenes. Unmixing estimates…

图像与视频处理 · 电气工程与系统科学 2024-04-29 Behnood Rasti , Alexandre Zouaoui , Julien Mairal , Jocelyn Chanussot

Hyperspectral image fusion (HIF) is critical to a wide range of applications in remote sensing and many computer vision applications. Most traditional HIF methods assume that the observation model is predefined or known. However, in real…

计算机视觉与模式识别 · 计算机科学 2021-04-01 Wu Wang , Yue Huang , Xinhao Ding

High-resolution spatial transcriptomics platforms, such as Xenium, generate single-cell images that capture both molecular and spatial context, but their extremely high dimensionality poses major challenges for representation learning and…

This article introduces quaternion non-negative matrix factorization (QNMF), which generalizes the usual non-negative matrix factorization (NMF) to the case of polarized signals. Polarization information is represented by Stokes parameters,…

信号处理 · 电气工程与系统科学 2020-06-24 Julien Flamant , Sebastian Miron , David Brie