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Non-negative Matrix Factorization (NMF) is one of the most popular techniques for data representation and clustering, and has been widely used in machine learning and data analysis. NMF concentrates the features of each sample into a…

图像与视频处理 · 电气工程与系统科学 2021-03-26 Mulin Chen , Maoguo Gong , Xuelong Li

Similarity matrix serves as a fundamental tool at the core of numerous downstream machine-learning tasks. However, missing data is inevitable and often results in an inaccurate similarity matrix. To address this issue, Similarity Matrix…

机器学习 · 计算机科学 2024-10-01 Changyi Ma , Runsheng Yu , Xiao Chen , Youzhi Zhang

Non-negative Matrix Factorization (NMF) is a useful method to extract features from multivariate data, but an important and sometimes neglected concern is that NMF can result in non-unique solutions. Often, there exist a Set of Feasible…

应用统计 · 统计学 2021-01-20 Ragnhild Laursen , Asger Hobolth

Nonnegative matrix factorization (NMF) has become a widely used tool for the analysis of high-dimensional data as it automatically extracts sparse and meaningful features from a set of nonnegative data vectors. We first illustrate this…

机器学习 · 统计学 2014-12-10 Nicolas Gillis

Most existing word embedding methods can be categorized into Neural Embedding Models and Matrix Factorization (MF)-based methods. However some models are opaque to probabilistic interpretation, and MF-based methods, typically solved using…

计算与语言 · 计算机科学 2015-08-18 Shaohua Li , Jun Zhu , Chunyan Miao

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

Text categorization is the task of assigning labels to documents written in a natural language, and it has numerous real-world applications including sentiment analysis as well as traditional topic assignment tasks. In this paper, we…

计算与语言 · 计算机科学 2020-03-05 Changzeng Fu , Chaoran Liu , Carlos Toshinori Ishi , Yuichiro Yoshikawa , Hiroshi Ishiguro

Non-negative matrix factorization (NMF) is a prob- lem with many applications, ranging from facial recognition to document clustering. However, due to the variety of algorithms that solve NMF, the randomness involved in these algorithms,…

数值分析 · 数学 2018-12-17 Connor Sell , Jeremy Kepner

Nonnegative Matrix Factorization (NMF) aims to factorize a matrix into two optimized nonnegative matrices and has been widely used for unsupervised learning tasks such as product recommendation based on a rating matrix. However, although…

社会与信息网络 · 计算机科学 2015-04-03 Junyu Xuan , Jie Lu , Xiangfeng Luo , Guangquan Zhang

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

Topic models are some of the most popular ways to represent textual data in an interpret-able manner. Recently, advances in deep generative models, specifically auto-encoding variational Bayes (AEVB), have led to the introduction of…

信息检索 · 计算机科学 2022-04-08 Jeffrey Chiu , Rajat Mittal , Neehal Tumma , Abhishek Sharma , Finale Doshi-Velez

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,…

数值分析 · 计算机科学 2017-03-03 Nicolas Gillis

Emergency Department (ED) crowding is a worldwide issue that affects the efficiency of hospital management and the quality of patient care. This occurs when the request for an admit ward-bed to receive a patient is delayed until an…

统计方法学 · 统计学 2019-07-05 Jack Yutong Li , Ruoqing Zhu , Annie Qu , Han Ye , Zhankun Sun

Positive semidefinite matrix factorization (PSDMF) expresses each entry of a nonnegative matrix as the inner product of two positive semidefinite (psd) matrices. When all these psd matrices are constrained to be diagonal, this model is…

信号处理 · 电气工程与系统科学 2021-07-07 Dana Lahat , Yanbin Lang , Vincent Y. F. Tan , Cédric Févotte

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

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

Nonnegative matrix factorization (NMF) is a linear dimensionality reduction technique for nonnegative data, with applications such as hyperspectral unmixing and topic modeling. NMF is a difficult problem in general (NP-hard), and its…

数值分析 · 数学 2025-11-11 Junjun Pan , Valentin Leplat , Michael Ng , Nicolas Gillis

Automatic Music Transcription, which consists in transforming an audio recording of a musical performance into symbolic format, remains a difficult Music Information Retrieval task. In this work, which focuses on piano transcription, we…

声音 · 计算机科学 2022-04-15 Haoran Wu , Axel Marmoret , Jérémy E. Cohen

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

Traditional nonnegative matrix factorization (NMF) learns a new feature representation on the whole data space, which means treating all features equally. However, a subspace is often sufficient for accurate representation in practical…

计算机视觉与模式识别 · 计算机科学 2022-04-19 Junhang Li , Jiao Wei , Can Tong , Tingting Shen , Yuchen Liu , Chen Li , Shouliang Qi , Yudong Yao , Yueyang Teng