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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.,…

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

Non-negative matrix factorization (NMF) is a dimensionality reduction technique that has shown promise for analyzing noisy data, especially astronomical data. For these datasets, the observed data may contain negative values due to noise…

天体物理仪器与方法 · 物理学 2024-10-04 Dylan Green , Stephen Bailey

Recommending the right content in large scale multimedia streaming services is an important and challenging problem that has received much attention in the past decade. A key ingredient for successful recommendations is an effective…

信息检索 · 计算机科学 2019-11-12 Igor de Oliveira Nunes , Gabriel Matos Cardoso Leite , Daniel Ratton Figueiredo

Recently, graph neural networks (GNNs) have been successfully applied to recommender systems. In recommender systems, the user's feedback behavior on an item is usually the result of multiple factors acting at the same time. However, a…

信息检索 · 计算机科学 2020-07-14 Dongbo Xi , Fuzhen Zhuang , Yongchun Zhu , Pengpeng Zhao , Xiangliang Zhang , Qing He

Various Non-negative Matrix factorization (NMF) based methods add new terms to the cost function to adapt the model to specific tasks, such as clustering, or to preserve some structural properties in the reduced space (e.g., local…

Nonnegative matrix factorization (NMF) is a powerful tool in data exploratory analysis by discovering the hidden features and part-based patterns from high-dimensional data. NMF and its variants have been successfully applied into diverse…

计算机视觉与模式识别 · 计算机科学 2017-07-27 Lihua Zhang , Shihua Zhang

Collaborative filtering models based on matrix factorization and learned similarities using Artificial Neural Networks (ANNs) have gained significant attention in recent years. This is, in part, because ANNs have demonstrated good results…

信息检索 · 计算机科学 2021-07-29 Vito Walter Anelli , Alejandro Bellogín , Tommaso Di Noia , Claudio Pomo

Nonnegative matrix factorization (NMF) has found many applications including topic modeling and document analysis. Hierarchical NMF (HNMF) variants are able to learn topics at various levels of granularity and illustrate their hierarchical…

机器学习 · 计算机科学 2022-02-16 Joshua Vendrow , Jamie Haddock , Deanna Needell

Traditional recommendation proposals, including content-based and collaborative filtering, usually focus on similarity between items or users. Existing approaches lack ways of introducing unexpectedness into recommendations, prioritizing…

信息检索 · 计算机科学 2024-05-15 Oliver Baumann , Durgesh Nandini , Anderson Rossanez , Mirco Schoenfeld , Julio Cesar dos Reis

We introduce negative binomial matrix factorization (NBMF), a matrix factorization technique specially designed for analyzing over-dispersed count data. It can be viewed as an extension of Poisson matrix factorization (PF) perturbed by a…

机器学习 · 计算机科学 2018-01-08 Olivier Gouvert , Thomas Oberlin , Cédric Févotte

Nonnegative matrix factorization (NMF) is a popular method for audio spectral unmixing. While NMF is traditionally applied to off-the-shelf time-frequency representations based on the short-time Fourier or Cosine transforms, the ability to…

机器学习 · 统计学 2018-11-07 Pierre Ablin , Dylan Fagot , Herwig Wendt , Alexandre Gramfort , Cédric Févotte

Recommendation systems aim to provide personalized predictions by identifying items that are most appealing to individual users. Among various recommendation approaches, k-nearest-neighbor (kNN)-based collaborative filtering (CF) remains…

信息检索 · 计算机科学 2025-12-16 Yongyu Wang

Semi-supervised symmetric non-negative matrix factorization (SNMF) utilizes the available supervisory information (usually in the form of pairwise constraints) to improve the clustering ability of SNMF. The previous methods introduce the…

机器学习 · 计算机科学 2024-10-29 Yuheng Jia , Jia-Nan Li , Wenhui Wu , Ran Wang

We introduce a new method based on nonnegative matrix factorization, Neural NMF, for detecting latent hierarchical structure in data. Datasets with hierarchical structure arise in a wide variety of fields, such as document classification,…

机器学习 · 计算机科学 2023-03-02 Tyler Will , Runyu Zhang , Eli Sadovnik , Mengdi Gao , Joshua Vendrow , Jamie Haddock , Denali Molitor , Deanna Needell

Factor analysis is broadly used as a powerful unsupervised machine learning tool for reconstruction of hidden features in recorded mixtures of signals. In the case of a linear approximation, the mixtures can be decomposed by a variety of…

机器学习 · 计算机科学 2018-03-28 Filip L. Iliev , Valentin G. Stanev , Velimir V. Vesselinov , Boian S. Alexandrov

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

Factorization machine (FM) is a prevalent approach to modeling pairwise (second-order) feature interactions when dealing with high-dimensional sparse data. However, on the one hand, FM fails to capture higher-order feature interactions…

机器学习 · 计算机科学 2025-02-24 Shu Wu , Zekun Li , Yunyue Su , Zeyu Cui , Xiaoyu Zhang , Liang Wang

Non-negative matrix factorization (NMF) is an important tool in signal processing and widely used to separate mixed sources into their components. Algorithms for NMF require that the user choose the number of components in advance, and if…

机器学习 · 计算机科学 2025-01-10 Youdong Guo , Timothy E. Holy

A series of graph filtering (GF)-based collaborative filtering (CF) showcases state-of-the-art performance on the recommendation accuracy by using a low-pass filter (LPF) without a training process. However, conventional GF-based CF…

信息检索 · 计算机科学 2024-04-23 Jin-Duk Park , Yong-Min Shin , Won-Yong Shin

Recommendation systems that automatically generate personalized music playlists for users have attracted tremendous attention in recent years. Nowadays, most music recommendation systems rely on item-based or user-based collaborative…

信息检索 · 计算机科学 2020-05-06 Tao Li , Minsoo Choi , Kaiming Fu , Lei Lin