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相关论文: Applying Non-negative Matrix Factorization with Co…

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Nonnegative matrix factorization can be used to automatically detect topics within a corpus in an unsupervised fashion. The technique amounts to an approximation of a nonnegative matrix as the product of two nonnegative matrices of lower…

计算与语言 · 计算机科学 2022-12-21 Michael R. Lindstrom , Xiaofu Ding , Feng Liu , Anand Somayajula , Deanna Needell

Non-negative matrix factorization (NMF) has proved effective in many clustering and classification tasks. The classic ways to measure the errors between the original and the reconstructed matrix are $l_2$ distance or Kullback-Leibler (KL)…

计算机视觉与模式识别 · 计算机科学 2014-05-12 Le Li , Jianjun Yang , Kaili Zhao , Yang Xu , Honggang Zhang , Zhuoyi Fan

Non-negative matrix factorization (NMF) is an important technique for obtaining low dimensional representations of datasets. However, classical NMF does not take into account data that is collected at different times or in different…

机器学习 · 计算机科学 2023-11-21 James Chapman , Yotam Yaniv , Deanna Needell

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…

机器学习 · 计算机科学 2021-02-08 Imtiaz Ahmed , Xia Ben Hu , Mithun P. Acharya , Yu Ding

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

Non-negative Matrix Factorization (NMF) is a key kernel for unsupervised dimension reduction used in a wide range of applications, including topic modeling, recommender systems and bioinformatics. Due to the compute-intensive nature of…

机器学习 · 计算机科学 2019-04-18 Gordon E. Moon , Aravind Sukumaran-Rajam , Srinivasan Parthasarathy , P. Sadayappan

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

Gaussian processes are widely used for the analysis of spatial data due to their nonparametric flexibility and ability to quantify uncertainty, and recently developed scalable approximations have facilitated application to massive datasets.…

统计方法学 · 统计学 2021-10-13 F. William Townes , Barbara E. Engelhardt

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

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 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

Non-negative matrix factorization (NMF) has become a well-established class of methods for the analysis of non-negative data. In particular, a lot of effort has been devoted to probabilistic NMF, namely estimation or inference tasks in…

机器学习 · 统计学 2021-02-26 Louis Filstroff , Olivier Gouvert , Cédric Févotte , Olivier Cappé

Nonnegative matrix factorization (NMF) methods have proved to be powerful across a wide range of real-world clustering applications. Integrating multiple types of measurements for the same objects/subjects allows us to gain a deeper…

机器学习 · 计算机科学 2014-09-16 Daniel Hidru , Anna Goldenberg

Nonnegative Matrix Factorization (NMF) is an unsupervised learning algorithm that produces a linear, parts-based approximation of a data matrix. NMF constructs a nonnegative low rank basis matrix and a nonnegative low rank matrix of weights…

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

Non-negative Matrix Factorisation (NMF) has been extensively used in machine learning and data analytics applications. Most existing variations of NMF only consider how each row/column vector of factorised matrices should be shaped, and…

机器学习 · 计算机科学 2019-07-09 Shuai Jiang , Kan Li , Richard Yida Xu

Nonnegative matrix factorization (NMF) has been widely used to dimensionality reduction in machine learning. However, the traditional NMF does not properly handle outliers, so that it is sensitive to noise. In order to improve the…

机器学习 · 计算机科学 2022-06-08 Tingting Shen , Junhang Li , Can Tong , Qiang He , Chen Li , Yudong Yao , Yueyang Teng

Non-negative matrix factorization (NMF) has become a popular method for representing meaningful data by extracting a non-negative basis feature from an observed non-negative data matrix. Some of the unique features of this method in…

最优化与控制 · 数学 2022-11-15 Sajad Fathi Hafshejani , Zahra Moaberfard

Nonnegative matrix factorization (NMF) is a standard linear dimensionality reduction technique for nonnegative data sets. In order to measure the discrepancy between the input data and the low-rank approximation, the Kullback-Leibler (KL)…

最优化与控制 · 数学 2021-05-12 Le Thi Khanh Hien , Nicolas Gillis

Identifying recurring patterns in high-dimensional time series data is an important problem in many scientific domains. A popular model to achieve this is convolutive nonnegative matrix factorization (CNMF), which extends classic…

机器学习 · 计算机科学 2019-07-02 Anthony Degleris , Ben Antin , Surya Ganguli , Alex H Williams

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