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Energy dispersive X-ray (EDX) spectroscopy in the transmission electron microscope is a key tool for nanomaterials analysis, providing a direct link between spatial and chemical information. However, using it for precisely determining…

材料科学 · 物理学 2024-05-24 Hui Chen , Duncan T. L. Alexander , Cécile Hébert

All materials are made from atoms arranged either in repeating (crystalline) or in random (amorphous) structures. Diffraction measurements probe average distances between atoms and/or planes of atoms. A transmission electron microscope in…

材料科学 · 物理学 2025-07-24 Andreas Werbrouck , Nikhila C. Paranamana , Xiaoqing He , Matthias J. Young

Non-Negative Matrix Factorization (NMF) is an unsupervised learning method offering low-rank representations across various domains such as audio processing, biomedical signal analysis, and image recognition. The incorporation of…

机器学习 · 计算机科学 2025-10-09 Yasaman Torabi , Shahram Shirani , James P. Reilly

An algorithm is described and tested that carries out a non negative matrix factorization (NMF) ignoring any stretching of the signal along the axis of the independent variable. This extended NMF model is called StretchedNMF. Variability in…

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

Non-negative Matrix Factorization (NMF) methods offer an appealing unsupervised learning method for real-time analysis of streaming spectral data in time-sensitive data collection, such as $\textit{in situ}$ characterization of materials.…

应用物理 · 物理学 2024-06-12 Phillip M. Maffettone , Aidan C. Daly , Daniel Olds

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

Nonnegative Matrix Factorization (NMF) is a widely-used data analysis technique, and has yielded impressive results in many real-world tasks. Generally, existing NMF methods represent each sample with several centroids, and find the optimal…

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

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

Modern spectroscopic databases provide a wealth of information about the physical processes and environments associated with astrophysical populations. Techniques such as blind source separation (BSS), in which sets of spectra are…

天体物理学 · 物理学 2009-11-13 James T. Allen , Paul C. Hewett , Vasily Belokurov , Vivienne Wild

Energy dispersive X-ray (EDX) spectrum imaging yields compositional information with a spatial resolution down to the atomic level. However, experimental limitations often produce extremely sparse and noisy EDX spectra. Under such…

Recently, the problem of blind image separation has been widely investigated, especially the medical image denoise which is the main step in medical diag-nosis. Removing the noise without affecting relevant features of the image is the main…

计算机视觉与模式识别 · 计算机科学 2018-07-11 R. M. Farouk , M. E. Abd El-aziz , A. M. Adam

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-negative matrix factorization (NMF) is widely used as a feature extraction technique for matrices with non-negative entries, such as image data, purchase histories, and other types of count data. In NMF, a non-negative matrix is…

统计计算 · 统计学 2026-01-01 Ryo Ohashi , Hiroyasu Abe , Fumitake Sakaori

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

Mixed pixels are presented in hyperspectral images due to low spatial resolution of hyperspectral sensors. Spectral unmixing decomposes mixed pixels spectra into endmembers spectra and abundance fractions. In this paper using of robust…

计算机视觉与模式识别 · 计算机科学 2012-12-06 Roozbeh Rajabi , Hassan Ghassemian

This study presents a novel integration of unsupervised learning and decision-making strategies for the advanced analysis of 4D-STEM datasets, with a focus on non-negative matrix factorization (NMF) as the primary clustering method. Our…

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

We propose a new variant of nonnegative matrix factorization (NMF), combining separability and sparsity assumptions. Separability requires that the columns of the first NMF factor are equal to columns of the input matrix, while sparsity…

机器学习 · 计算机科学 2020-06-16 Nicolas Nadisic , Arnaud Vandaele , Jeremy E. Cohen , Nicolas Gillis

Non-negative matrix factorization (NMF) is one of the most popular decomposition techniques for multivariate data. NMF is a core method for many machine-learning related computational problems, such as data compression, feature extraction,…

数值分析 · 计算机科学 2017-12-07 Gabriele Torre , Michael Graber
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