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Dimensionality Reduction plays a pivotal role in improving feature learning accuracy and reducing training time by eliminating redundant features, noise, and irrelevant data. Nonnegative Matrix Factorization (NMF) has emerged as a popular…

机器学习 · 计算机科学 2024-05-07 Farid Saberi-Movahed , Kamal Berahman , Razieh Sheikhpour , Yuefeng Li , Shirui Pan

In this paper we formulate the nonnegative matrix factorisation (NMF) problem as a maximum likelihood estimation problem for hidden Markov models and propose online expectation-maximisation (EM) algorithms to estimate the NMF and the other…

机器学习 · 计算机科学 2014-01-14 Sinan Yildirim , A. Taylan Cemgil , Sumeetpal S. Singh

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

In this paper we explore avenues for improving the reliability of dimensionality reduction methods such as Non-Negative Matrix Factorization (NMF) as interpretive exploratory data analysis tools. We first explore the difficulties of the…

人工智能 · 计算机科学 2009-04-22 Nikolaos Vasiloglou , Alexander G. Gray , David V. Anderson

Probabilistic approach to Boolean matrix factorization can provide solutions robustagainst noise and missing values with linear computational complexity. However,the assumption about latent factors can be problematic in real world…

机器学习 · 统计学 2019-05-31 Lifan Liang , Songjian Lu

Matrix factorization (MF) is a widely used collaborative filtering (CF) algorithm for recommendation systems (RSs), due to its high prediction accuracy, great flexibility and high efficiency in big data processing. However, with the…

信息检索 · 计算机科学 2026-03-26 Yining Wu , Shengyu Duan , Gaole Sai , Chenhong Cao , Guobing Zou

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

Non-negative matrix factorization (NMF) is a popular unsupervised learning approach widely used in image clustering. However, in real-world clustering scenarios, most existing NMF methods are highly sensitive to noise corruption and are…

计算机视觉与模式识别 · 计算机科学 2025-05-01 Jingjing Liu , Nian Wu , Xianchao Xiu , Jianhua Zhang

This paper addresses the estimation of the latent dimensionality in nonnegative matrix factorization (NMF) with the \beta-divergence. The \beta-divergence is a family of cost functions that includes the squared Euclidean distance,…

机器学习 · 统计学 2012-10-08 Vincent Y. F. Tan , Cédric Févotte

Analysis of reactive-diffusion simulations requires a large number of independent model runs. For each high-fidelity simulation, inputs are varied and the predicted mixing behavior is represented by changes in species concentration. It is…

计算工程、金融与科学 · 计算机科学 2019-07-24 V. V. Vesselinov , M. K. Mudunuru , S. Karra , D. O. Malley , B. S. Alexandrov

Unsupervised integrative analysis of multiple data sources has become common place and scalable algorithms are necessary to accommodate ever increasing availability of data. Only few currently methods have estimation speed as their focus,…

统计方法学 · 统计学 2024-05-17 Felix Held

Coupled Matrix Tensor Factorization (CMTF) facilitates the integration and analysis of multiple data sources and helps discover meaningful information. Nonnegative CMTF (N-CMTF) has been employed in many applications for identifying latent…

机器学习 · 计算机科学 2020-03-10 Thirunavukarasu Balasubramaniam , Richi Nayak , Chau Yuen

Nonnegative matrix factorization (NMF) has been actively investigated and used in a wide range of problems in the past decade. A significant amount of attention has been given to develop NMF algorithms that are suitable to model time series…

机器学习 · 计算机科学 2017-09-04 Nasser Mohammadiha , Paris Smaragdis , Ghazaleh Panahandeh , Simon Doclo

For most problems in science and engineering we can obtain data sets that describe the observed system from various perspectives and record the behavior of its individual components. Heterogeneous data sets can be collectively mined by data…

机器学习 · 计算机科学 2015-02-09 Marinka Žitnik , Blaž Zupan

Nonnegative Matrix Factorization (NMF) has been continuously evolving in several areas like pattern recognition and information retrieval methods. It factorizes a matrix into a product of 2 low-rank non-negative matrices that will define…

机器学习 · 计算机科学 2013-04-04 Jing-Yan Wang , Mustafa AbdulJabbar

Nonnegative matrix factorization (NMF) has been widely used in machine learning and signal processing because of its non-subtractive, part-based property which enhances interpretability. It is often assumed that the latent dimensionality…

机器学习 · 统计学 2018-10-25 Zhaoqiang Liu

Non-negative Matrix Factorization (NMF) is a popular tool for data exploration. Bayesian NMF promises to also characterize uncertainty in the factorization. Unfortunately, current inference approaches such as MCMC mix slowly and tend to get…

机器学习 · 统计学 2016-10-28 M. Arjumand Masood , Finale Doshi-Velez

To extract the relevant features in a given dataset is a difficult task, recently resolved in the non-negative data case with the Non-negative Matrix factorization (NMF) method. The objective of this research work is to extend this method…

Non-negative Matrix Factorization (NMF) is an intensively used technique for obtaining parts-based, lower dimensional and non-negative representation. Researchers in biology, medicine, pharmacy and other fields often prefer NMF over other…

机器学习 · 计算机科学 2025-02-04 Matej Mihelčić , Pauli Miettinen

Nonnegative Matrix Factorization (NMF) is a versatile and powerful tool for discovering latent structures in data matrices, with many variations proposed in the literature. Recently, Leplat et al.\@ (2019) introduced a minimum-volume NMF…

机器学习 · 统计学 2023-09-26 Duc Toan Nguyen , Eric C. Chi