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The nonnegative matrix factorization (NMF) is widely used in signal and image processing, including bio-informatics, blind source separation and hyperspectral image analysis in remote sensing. A great challenge arises when dealing with a…

计算机视觉与模式识别 · 计算机科学 2016-03-29 Fei Zhu , Paul Honeine , Maya Kallas

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

In recent years, semi-supervised multi-view nonnegative matrix factorization (MVNMF) algorithms have achieved promising performances for multi-view clustering. While most of semi-supervised MVNMFs have failed to effectively consider…

机器学习 · 计算机科学 2020-10-27 Guosheng Cui , Ruxin Wang , Dan Wu , Ye Li

There has been a recent critical need to study fairness and bias in machine learning (ML) algorithms. Since there is clearly no one-size-fits-all solution to fairness, ML methods should be developed alongside bias mitigation strategies that…

机器学习 · 计算机科学 2026-03-06 Lara Kassab , Erin George , Deanna Needell , Haowen Geng , Nika Jafar Nia , Aoxi Li

Nonnegative matrix factorization (NMF) is a powerful tool in data exploratory analysis by discovering the hidden features and part-based patterns from high-dimensional data. NMF and its variants have been successfully applied into diverse…

计算机视觉与模式识别 · 计算机科学 2017-07-27 Lihua Zhang , Shihua Zhang

Nonnegative matrix factorization (NMF) has become a workhorse for signal and data analytics, triggered by its model parsimony and interpretability. Perhaps a bit surprisingly, the understanding to its model identifiability---the major…

信号处理 · 电气工程与系统科学 2019-03-27 Xiao Fu , Kejun Huang , Nicholas D. Sidiropoulos , Wing-Kin Ma

Multi-view data is ever more apparent as methods for production, collection and storage of data become more feasible both practically and fiscally. However, not all features are relevant to describe the patterns for all individuals.…

统计方法学 · 统计学 2026-03-13 Ella S. C. Orme , Theodoulos Rodosthenous , Marina Evangelou

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

Non-negative matrix factorization (NMF) is a natural model of admixture and is widely used in science and engineering. A plethora of algorithms have been developed to tackle NMF, but due to the non-convex nature of the problem, there is…

机器学习 · 计算机科学 2015-07-09 Rong Ge , James Zou

Non-negative matrix factorization (NMF) is a common method for generating topic models from text data. NMF is widely accepted for producing good results despite its relative simplicity of implementation and ease of computation. One…

机器学习 · 计算机科学 2016-08-09 Brendan Gavin , Vijay Gadepally , Jeremy Kepner

Nonnegative matrix factorization (NMF) is a relatively new unsupervised learning algorithm that decomposes a nonnegative data matrix into a parts-based, lower dimensional, linear representation of the data. NMF has applications in image…

机器学习 · 统计学 2020-12-08 Matthew Corsetti , Ernest Fokoué

Tensor decomposition is an effective tool for learning multi-way structures and heterogeneous features from high-dimensional data, such as the multi-view images and multichannel electroencephalography (EEG) signals, are often represented by…

机器学习 · 计算机科学 2022-06-29 Wanguang Yin , Youzhi Qu , Zhengming Ma , Quanying Liu

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…

Matrix factorization techniques, especially Nonnegative Matrix Factorization (NMF), have been widely used for dimensionality reduction and interpretable data representation. However, existing NMF-based methods are inherently single-scale…

机器学习 · 计算机科学 2026-02-27 Jichao Zhang , Ran Miao , Limin Li

Growing waste streams and the transition to a circular economy require efficient automated waste sorting. In industrial settings, materials move on fast conveyor belts, where reliable identification and ejection demand pixel-accurate…

计算机视觉与模式识别 · 计算机科学 2026-04-14 Jonas V. Funk , Lukas Roming , Andreas Michel , Paul Bäcker , Georg Maier , Thomas Längle , Markus Klute

Solid-state NMR spectroscopy is a powerful technique for the characterization of the atomic-level structure and dynamics of materials. Nevertheless, the use of this technique is often limited by its lack of sensitivity, which can prevent…

Non-negative matrix factorization (NMF) has previously been shown to be a useful decomposition for multivariate data. We interpret the factorization in a new way and use it to generate missing attributes from test data. We provide a joint…

数值分析 · 计算机科学 2010-07-05 Mithun Das Gupta

Spectroscopic techniques are essential tools for determining the structure of molecules. Different spectroscopic techniques, such as Nuclear magnetic resonance (NMR), Infrared spectroscopy, and Mass Spectrometry, provide insight into the…

化学物理 · 物理学 2024-10-30 Marvin Alberts , Oliver Schilter , Federico Zipoli , Nina Hartrampf , Teodoro Laino

Plastic pollution has become a critical global challenge, with microplastics pervading ecosystems and entering human food chains. Effectively monitoring this widespread contamination demands rapid, reliable, and portable material…

Mutational signatures are patterns of somatic mutations in tumor genomes that provide insights into underlying mutagenic processes and cancer origin. Developing reliable methods for their estimation is of growing importance in cancer…

应用统计 · 统计学 2025-02-04 Blake Hansen , Isabella N. Grabski , Giovanni Parmigiani , Roberta De Vito