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Mid-infrared astronomy (operating at wavelengths ranging from 2 to 25 $\mu$m) has progressed significantly in the last decades, thanks to the improvement of detector techniques and the growing diameter of telescopes. Space observatories…

天体物理仪器与方法 · 物理学 2011-06-16 O. Berne , A. G. G. M. Tielens , P. Pilleri , C. Joblin

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

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

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

Accurate and automated galaxy redshift determination is essential for maximizing the scientific return of spectroscopic surveys. In this paper, we propose a data-driven method to address this challenge. The method first learns a rest-frame…

天体物理仪器与方法 · 物理学 2026-05-13 Masten Bourahma , Nicolas F. Bouché , Roland Bacon , Johan Richard , Tanya Urrutia , Afonso Vale , Martin Wendt , T. T. Thai

In the non-negative matrix factorization (NMF) problem, the input is an $m\times n$ matrix $M$ with non-negative entries and the goal is to factorize it as $M\approx AW$. The $m\times k$ matrix $A$ and the $k\times n$ matrix $W$ are both…

数据结构与算法 · 计算机科学 2021-03-09 Moses Charikar , Lunjia Hu

Intelligent reflecting surface (IRS) has the potential to enhance sensing performance, due to its capability of reshaping the echo signals. Different from the existing literature, which has commonly focused on IRS beamforming optimization,…

信号处理 · 电气工程与系统科学 2024-07-08 Zhouyuan Yu , Xiaoling Hu , Chenxi Liu , Qin Tao , Mugen Peng

Nonnegative Matrix Factorization (NMF) is a data analysis technique which allows compression and interpretation of nonnegative data. NMF became widely studied after the publication of the seminal paper by Lee and Seung (Learning the Parts…

数值分析 · 数学 2008-10-24 Nicolas Gillis , François Glineur

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

We present improvements to the wavelength calibration for the lenslet-based Integral Field Spectrograph (IFS), that serves as the science instrument for the Gemini Planet Imager (GPI). The GPI IFS features a 2.7" $\times$ 2.7" field of view…

天体物理仪器与方法 · 物理学 2016-12-14 Schuyler G. Wolff , Kimberly Ward-Duong , Joe Zalesky , Alex Z. Greenbaum , Marshall D. Perrin , James Graham

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

Symmetric nonnegative matrix factorization (SymNMF) has important applications in data analytics problems such as document clustering, community detection and image segmentation. In this paper, we propose a novel nonconvex variable…

最优化与控制 · 数学 2017-03-27 Songtao Lu , Mingyi Hong , Zhengdao Wang

This article presents a novel approach to solving the sparsity-constrained Orthogonal Nonnegative Matrix Factorization (SCONMF) problem, which requires decomposing a non-negative data matrix into the product of two lower-rank non-negative…

数据结构与算法 · 计算机科学 2025-04-07 Salar Basiri , Alisina Bayati , Srinivasa Salapaka

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 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

Lensless illumination single-pixel imaging with a multicore fiber (MCF) is a computational imaging technique that enables potential endoscopic observations of biological samples at cellular scale. In this work, we show that this technique…

图像与视频处理 · 电气工程与系统科学 2024-03-07 Olivier Leblanc , Mathias Hofer , Siddharth Sivankutty , Hervé Rigneault , Laurent Jacques

Vortex fiber nulling (VFN) is a new interferometric technique with the potential to unlock the ability to detect and spectroscopically characterize exoplanets at angular separations smaller than the conventional diffraction limit of…

天体物理仪器与方法 · 物理学 2023-09-29 Sofia Hillman , Daniel Echeverri , Maxwell A. Millar-Blanchaer , Jerry Xuan , Garreth Ruane , Dimitri Mawet

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 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

Nonnegative matrix factorization (NMF) is a prominent technique for data dimensionality reduction that has been widely used for text mining, computer vision, pattern discovery, and bioinformatics. In this paper, a framework called ARkNLS…

数值分析 · 数学 2020-07-14 Delin Chu , Wenya Shi , Srinivas Eswar , Haesun Park