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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…

Machine Learning · Computer Science 2018-01-08 Olivier Gouvert , Thomas Oberlin , Cédric Févotte

Semi-Non-negative Matrix Factorization is a technique that learns a low-dimensional representation of a dataset that lends itself to a clustering interpretation. It is possible that the mapping between this new representation and our…

Computer Vision and Pattern Recognition · Computer Science 2015-09-11 George Trigeorgis , Konstantinos Bousmalis , Stefanos Zafeiriou , Bjoern W. Schuller

Missing link prediction is a method for network analysis, with applications in recommender systems, biology, social sciences, cybersecurity, information retrieval, and Artificial Intelligence (AI) reasoning in Knowledge Graphs. Missing link…

Machine Learning · Computer Science 2025-03-07 Ryan Barron , Maksim E. Eren , Duc P. Truong , Cynthia Matuszek , James Wendelberger , Mary F. Dorn , Boian Alexandrov

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…

Numerical Analysis · Mathematics 2008-10-24 Nicolas Gillis , François Glineur

Nonnegative matrix factorization (NMF) is a powerful class of feature extraction techniques that has been successfully applied in many fields, namely in signal and image processing. Current NMF techniques have been limited to a…

Machine Learning · Statistics 2015-01-26 Paul Honeine , Fei Zhu

The intensive care unit (ICU) manages critically ill patients, many of whom face a high risk of mortality. Early and accurate prediction of in-hospital mortality within the first 24 hours of ICU admission is crucial for timely clinical…

Given a matrix $M$ (not necessarily nonnegative) and a factorization rank $r$, semi-nonnegative matrix factorization (semi-NMF) looks for a matrix $U$ with $r$ columns and a nonnegative matrix $V$ with $r$ rows such that $UV$ is the best…

Numerical Analysis · Mathematics 2015-10-28 Nicolas Gillis , Abhishek Kumar

Hyperspectral unmixing has been an important technique that estimates a set of endmembers and their corresponding abundances from a hyperspectral image (HSI). Nonnegative matrix factorization (NMF) plays an increasingly significant role in…

Computer Vision and Pattern Recognition · Computer Science 2022-05-23 Xin-Ru Feng , Heng-Chao Li , Rui Wang , Qian Du , Xiuping Jia , Antonio Plaza

Background: Patients with both diabetes mellitus (DM) and atrial fibrillation (AF) face elevated mortality in intensive care units (ICUs), yet models targeting this high-risk group remain limited. Objective: To develop an interpretable…

Machine Learning · Computer Science 2025-06-23 Li Sun , Shuheng Chen , Yong Si , Junyi Fan , Maryam Pishgar , Elham Pishgar , Kamiar Alaei , Greg Placencia

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…

Machine Learning · Computer Science 2012-04-12 Bin Shen , Luo Si , Rongrong Ji , Baodi Liu

Intensive Care Units usually carry patients with a serious risk of mortality. Recent research has shown the ability of Machine Learning to indicate the patients' mortality risk and point physicians toward individuals with a heightened need…

Machine Learning · Computer Science 2025-02-03 Korbinian Randl , Núria Lladós Armengol , Lena Mondrejevski , Ioanna Miliou

Recommendation from implicit feedback is a highly challenging task due to the lack of the reliable observed negative data. A popular and effective approach for implicit recommendation is to treat unobserved data as negative but downweight…

Information Retrieval · Computer Science 2020-03-05 Jiawei Chen , Can Wang , Sheng Zhou , Qihao Shi , Jingbang Chen , Yan Feng , Chun Chen

We present a novel game-theoretic formulation of Non-Negative Matrix Factorization (NNMF), a popular data-analysis method with many scientific and engineering applications. The game-theoretic formulation is shown to have favorable scaling…

Computer Science and Game Theory · Computer Science 2021-04-13 Satpreet H. Singh

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…

Computer Vision and Pattern Recognition · Computer Science 2017-07-27 Lihua Zhang , Shihua Zhang

Matrix factorization methods are linear models, with limited capability to model complex relations. In our work, we use tropical semiring to introduce non-linearity into matrix factorization models. We propose a method called Sparse…

Machine Learning · Computer Science 2021-04-20 Amra Omanović , Hilal Kazan , Polona Oblak , Tomaž Curk

We propose a novel methodology for forecasting spatio-temporal data using supervised semi-nonnegative matrix factorization (SSNMF) with frequency regularization. Matrix factorization is employed to decompose spatio-temporal data into…

Machine Learning · Statistics 2024-06-21 Keunsu Kim , Hanbaek Lyu , Jinsu Kim , Jae-Hun Jung

This work developed novel complex matrix factorization methods for face recognition; the methods were complex matrix factorization (CMF), sparse complex matrix factorization (SpaCMF), and graph complex matrix factorization (GraCMF). After…

Computer Vision and Pattern Recognition · Computer Science 2016-12-09 Viet-Hang Duong , Yuan-Shan Lee , Bach-Tung Pham , Seksan Mathulaprangsan , Pham The Bao , Jia-Ching Wang

Clinical machine learning faces a critical dilemma in high-stakes medical applications: algorithms achieving optimal diagnostic performance typically sacrifice the interpretability essential for physician decision-making, while…

Machine Learning · Computer Science 2025-09-23 Xiuqi Ge , Zhibo Yao , Yaosong Du

Recently, many works have demonstrated that Symmetric Non-negative Matrix Factorization~(SymNMF) enjoys a great superiority for various clustering tasks. Although the state-of-the-art algorithms for SymNMF perform well on synthetic data,…

Machine Learning · Computer Science 2022-05-27 Mingjie Li , Hao Kong , Zhouchen Lin

Non-negative matrix factorization (NMF) has become a popular machine learning approach to many problems in text mining, speech and image processing, bio-informatics and seismic data analysis to name a few. In NMF, a matrix of non-negative…

Numerical Analysis · Computer Science 2013-03-19 Hugo Van hamme
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