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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…

Computation · Statistics 2026-01-01 Ryo Ohashi , Hiroyasu Abe , Fumitake Sakaori

Non-negative Matrix Factorization (NMF) is an effective algorithm for multivariate data analysis, including applications to feature selection, pattern recognition, and computer vision. Its variant, Semi-Nonnegative Matrix Factorization…

Numerical Analysis · Mathematics 2024-10-23 Anthony Rhodes , Bin Jiang , Jenny Jiang

We introduce a probabilistic model with implicit norm regularization for learning nonnegative matrix factorization (NMF) that is commonly used for predicting missing values and finding hidden patterns in the data, in which the matrix…

Machine Learning · Computer Science 2022-08-23 Jun Lu , Christine P. Chai

Nonnegative matrix factorization (NMF) has been successfully applied to many areas for classification and clustering. Commonly-used NMF algorithms mainly target on minimizing the $l_2$ distance or Kullback-Leibler (KL) divergence, which may…

Information Retrieval · Computer Science 2014-10-07 Le Li , Jianjun Yang , Yang Xu , Zhen Qin , Honggang Zhang

Non-negative matrix factorization (NMF) is a fundamental matrix decomposition technique that is used primarily for dimensionality reduction and is increasing in popularity in the biological domain. Although finding a unique NMF is generally…

Information Theory · Computer Science 2021-08-23 Rami Nasser , Yonina C. Eldar , Roded Sharan

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,…

Numerical Analysis · Computer Science 2017-03-03 Nicolas Gillis

The text-critical practice of grouping witnesses into families or texttypes often faces two obstacles: Contamination in the manuscript tradition, and co-dependence in identifying characteristic readings and manuscripts. We introduce…

Machine Learning · Computer Science 2016-02-04 Joey McCollum , Stephen Brown

Classical computing has borne witness to the development of machine learning. The integration of quantum technology into this mix will lead to unimaginable benefits and be regarded as a giant leap forward in mankind's ability to compute.…

Quantum Physics · Physics 2023-11-03 Hinako Asaoka , Kazue Kudo

Though quite challenging, leveraging large-scale unlabeled or partially labeled images in a cost-effective way has increasingly attracted interests for its great importance to computer vision. To tackle this problem, many Active Learning…

Computer Vision and Pattern Recognition · Computer Science 2018-05-25 Keze Wang , Xiaopeng Yan , Dongyu Zhang , Lei Zhang , Liang Lin

Graph-based Semi-Supervised Learning (GSSL) is a practical solution to learn from a limited amount of labelled data together with a vast amount of unlabelled data. However, due to their reliance on the known labels to infer the unknown…

Machine Learning · Computer Science 2022-05-12 Adriano Franci , Maxime Cordy , Martin Gubri , Mike Papadakis , Yves Le Traon

We describe the use of Non-Negative Matrix Factorization (NMF) and Latent Dirichlet Allocation (LDA) algorithms to perform topic mining and labelling applied to retail customer communications in attempt to characterize the subject of…

Machine Learning · Computer Science 2019-12-20 Rashid Mehdiyev , Jean Nava , Karan Sodhi , Saurav Acharya , Annie Ibrahim Rana

Semi-supervised learning (SSL) aims to train a machine learning model using both labelled and unlabelled data. While the unlabelled data have been used in various ways to improve the prediction accuracy, the reason why unlabelled data could…

Machine Learning · Statistics 2025-10-28 Archer Moore , Heejung Shim , Jingge Zhu , Mingming Gong

Semi-supervised learning frameworks usually adopt mutual learning approaches with multiple submodels to learn from different perspectives. To avoid transferring erroneous pseudo labels between these submodels, a high threshold is usually…

Computer Vision and Pattern Recognition · Computer Science 2023-01-11 Hao Xu , Hui Xiao , Huazheng Hao , Li Dong , Xiaojie Qiu , Chengbin Peng

Supervised learning algorithms based on Convolutional Neural Networks have become the benchmark for medical image segmentation tasks, but their effectiveness heavily relies on a large amount of labeled data. However, annotating medical…

Image and Video Processing · Electrical Eng. & Systems 2023-11-20 Tao Wang , Yuanbin Chen , Xinlin Zhang , Yuanbo Zhou , Junlin Lan , Bizhe Bai , Tao Tan , Min Du , Qinquan Gao , Tong Tong

Nonnegative Matrix Factorization consists in (approximately) factorizing a nonnegative data matrix by the product of two low-rank nonnegative matrices. It has been successfully applied as a data analysis technique in numerous domains, e.g.,…

Optimization and Control · Mathematics 2012-08-13 Nicolas Gillis , François Glineur

Dimensionality reduction is considered as an important step for ensuring competitive performance in unsupervised learning such as anomaly detection. Non-negative matrix factorization (NMF) is a popular and widely used method to accomplish…

Machine Learning · Computer Science 2021-02-08 Imtiaz Ahmed , Xia Ben Hu , Mithun P. Acharya , Yu Ding

Concept Factorization (CF), as a novel paradigm of representation learning, has demonstrated superior performance in multi-view clustering tasks. It overcomes limitations such as the non-negativity constraint imposed by traditional matrix…

Machine Learning · Computer Science 2023-07-04 Qi Jiang , Guoxu Zhou , Qibin Zhao

Legal documents pose unique challenges for text classification due to their domain-specific language and often limited labeled data. This paper proposes a hybrid approach for classifying legal texts by combining unsupervised topic and graph…

Machine Learning · Statistics 2025-09-03 Deepak Bastola , Woohyeok Choi

In semi-supervised learning (SSL) for enhancing the performance of graph neural networks (GNNs) with unlabeled data, introducing mutually independent decision factors for cross-validation is regarded as an effective strategy to alleviate…

Machine Learning · Computer Science 2025-08-13 Long Wang , Kai Liu

Table detection, a pivotal task in document analysis, aims to precisely recognize and locate tables within document images. Although deep learning has shown remarkable progress in this realm, it typically requires an extensive dataset of…

Computer Vision and Pattern Recognition · Computer Science 2024-05-14 Iqraa Ehsan , Tahira Shehzadi , Didier Stricker , Muhammad Zeshan Afzal