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Non-Negative Matrix Factorization (NMF) is a widely used dimension reduction method that factorizes a non-negative data matrix into two lower dimensional non-negative matrices: One is the basis or feature matrix which consists of the…

应用统计 · 统计学 2022-11-03 Yun Cai , Hong Gu , Toby Kenney

Nonnegative matrix factorization (NMF) approximates a nonnegative matrix, $X$, by the product of two nonnegative factors, $WH$, where $W$ has $r$ columns and $H$ has $r$ rows. In this paper, we consider NMF using the component-wise L1 norm…

机器学习 · 计算机科学 2026-04-01 Giovanni Seraghiti , Kévin Dubrulle , Arnaud Vandaele , Nicolas Gillis

The task of determining crime types based on criminal behavior facts has become a very important and meaningful task in social science. But the problem facing the field now is that the data samples themselves are unevenly distributed, due…

计算与语言 · 计算机科学 2023-10-24 Haoxuan Xu , Zeyu He , Mengfan Shen , Songning Lai , Ziqiang Han , Yifan Peng

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…

机器学习 · 计算机科学 2022-08-23 Jun Lu , Christine P. Chai

Semi-Nonnegative Matrix Factorization (semi-NMF) extends classical Nonnegative Matrix Factorization (NMF) by allowing the basis matrix to contain both positive and negative entries, making it suitable for decomposing data with mixed signs.…

机器学习 · 计算机科学 2025-08-12 Lu Chenggang

Nonnegative matrix factorization (NMF) is a data analysis technique used in a great variety of applications such as text mining, image processing, hyperspectral data analysis, computational biology, and clustering. In this paper, we…

最优化与控制 · 数学 2012-08-13 Nicolas Gillis , François Glineur

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

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.…

量子物理 · 物理学 2023-11-03 Hinako Asaoka , Kazue Kudo

In this paper, we propose a new Semi-Nonnegative Matrix Factorization method for 2-dimensional (2D) data, named TS-NMF. It overcomes the drawback of existing methods that seriously damage the spatial information of the data by converting 2D…

机器学习 · 计算机科学 2020-05-20 Chong Peng , Zhilu Zhang , Zhao Kang , Chenglizhao Chen , Qiang Cheng

Spectroscopic anomaly detection and isotope identification algorithms are integral components in nuclear nonproliferation applications such as search operations. The task is especially challenging in the case of mobile detector systems due…

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

In this paper, we introduce a probabilistic model 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 factors are latent…

机器学习 · 计算机科学 2022-06-22 Jun Lu , Xuanyu Ye

During the fabrication of casting parts sensor data is typically automatically recorded and accumulated for process monitoring and defect diagnosis. As casting is a thermal process with many interacting process parameters, root cause…

机器学习 · 计算机科学 2019-04-05 Peter Weiderer , Ana Maria Tomé , Elmar Wolfgang Lang

Identifying overlapping communities in networks is a challenging task. In this work we present a novel approach to community detection that utilises the Bayesian non-negative matrix factorisation (NMF) model to produce a probabilistic…

机器学习 · 统计学 2010-09-28 Ioannis Psorakis , Stephen Roberts , Ben Sheldon

Nonnegative matrix factorization (NMF) is a linear dimensionality reduction technique for analyzing nonnegative data. A key aspect of NMF is the choice of the objective function that depends on the noise model (or statistics of the noise)…

机器学习 · 计算机科学 2021-02-10 Nicolas Gillis , Le Thi Khanh Hien , Valentin Leplat , Vincent Y. F. Tan

ICU mortality risk prediction is a tough yet important task. On one hand, due to the complex temporal data collected, it is difficult to identify the effective features and interpret them easily; on the other hand, good prediction can help…

机器学习 · 计算机科学 2018-10-10 Guoqing Chao , Chengsheng Mao , Fei Wang , Yuan Zhao , Yuan Luo

Analysis and visualization of an information network can be facilitated better using an appropriate embedding of the network. Network embedding learns a compact low-dimensional vector representation for each node of the network, and uses…

社会与信息网络 · 计算机科学 2018-07-05 Sambaran Bandyopadhyay , Harsh Kara , Aswin Kannan , M N Murty

The importance of unsupervised clustering and topic modeling is well recognized with ever-increasing volumes of text data. In this paper, we propose a fast method for hierarchical clustering and topic modeling called HierNMF2. Our method is…

机器学习 · 计算机科学 2015-10-05 Da Kuang , Barry Drake , Haesun Park

Learning approaches rely on hyperparameters that impact the algorithm's performance and affect the knowledge extraction process from data. Recently, Nonnegative Matrix Factorization (NMF) has attracted a growing interest as a learning…

数值分析 · 数学 2023-06-29 Nicoletta Del Buono , Flavia Esposito , Laura Selicato , Rafal Zdunek

Dimensionality reduction and matrix factorization techniques are important and useful machine-learning techniques in many fields. Nonnegative matrix factorization (NMF) is particularly useful for spectral analysis and image processing in…

天体物理仪器与方法 · 物理学 2016-12-20 Guangtun Zhu