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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

Drug repositioning is designed to discover new uses of known drugs, which is an important and efficient method of drug discovery. Researchers only use one certain type of Collaborative Filtering (CF) models for drug repositioning currently,…

机器学习 · 计算机科学 2020-11-17 Jieyue He , Xinxing Yang , Zhuo Gong , lbrahim Zamit

Embedding based models have been the state of the art in collaborative filtering for over a decade. Traditionally, the dot product or higher order equivalents have been used to combine two or more embeddings, e.g., most notably in matrix…

信息检索 · 计算机科学 2020-06-03 Steffen Rendle , Walid Krichene , Li Zhang , John Anderson

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

Symmetric nonnegative matrix factorization (SymNMF) is a powerful tool for clustering, which typically uses the $k$-nearest neighbor ($k$-NN) method to construct similarity matrix. However, $k$-NN may mislead clustering since the neighbors…

机器学习 · 计算机科学 2024-12-06 Wenlong Lyu , Yuheng Jia

Symmetric nonnegative matrix factorization (NMF), a special but important class of the general NMF, is demonstrated to be useful for data analysis and in particular for various clustering tasks. Unfortunately, designing fast algorithms for…

机器学习 · 计算机科学 2018-11-15 Zhihui Zhu , Xiao Li , Kai Liu , Qiuwei Li

Nonnegative Matrix Factorization (NMF) has been continuously evolving in several areas like pattern recognition and information retrieval methods. It factorizes a matrix into a product of 2 low-rank non-negative matrices that will define…

机器学习 · 计算机科学 2013-04-04 Jing-Yan Wang , Mustafa AbdulJabbar

Nonnegative matrix factorization (NMF) has been widely used to learn low-dimensional representations of data. However, NMF pays the same attention to all attributes of a data point, which inevitably leads to inaccurate representation. For…

机器学习 · 计算机科学 2021-11-30 Jiao Wei , Can Tong , Bingxue Wu , Qiang He , Shouliang Qi , Yudong Yao , Yueyang Teng

Development of new medications is a very lengthy and costly process. Finding novel indications for existing drugs, or drug repositioning, can serve as a useful strategy to shorten the development cycle. In this study, we present an approach…

基因组学 · 定量生物学 2017-12-13 Kai Zhao , Hon-Cheong So

Nonnegative matrix factorization (NMF) is a known unsupervised data-reduction method. The principle of the common cause (PCC) is a basic methodological approach in probabilistic causality, which seeks an independent mixture model for the…

机器学习 · 计算机科学 2025-09-09 E. Khalafyan , A. E. Allahverdyan , A. Hovhannisyan

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 used tool for learning parts-based, low-dimensional representations of nonnegative data, with applications in vision, text, and bioinformatics. In clustering applications, orthogonal NMF…

机器学习 · 计算机科学 2025-12-10 Manh Nguyen , Daniel Pimentel-Alarcón

Matrix factorization (MF) is a classical collaborative filtering algorithm for recommender systems. It decomposes the user-item interaction matrix into a product of low-dimensional user representation matrix and item representation matrix.…

信息检索 · 计算机科学 2023-08-15 Shangde Gao , Ke Liu , Yichao Fu

Sequence model based NLP applications can be large. Yet, many applications that benefit from them run on small devices with very limited compute and storage capabilities, while still having run-time constraints. As a result, there is a need…

计算与语言 · 计算机科学 2020-10-08 Urmish Thakker , Jesse Beu , Dibakar Gope , Ganesh Dasika , Matthew Mattina

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

Matrix factorization (MF) is a simple collaborative filtering technique that achieves superior recommendation accuracy by decomposing the user-item interaction matrix into user and item latent matrices. Because the model typically learns…

信息检索 · 计算机科学 2024-03-11 Kai Sugahara , Kazushi Okamoto

We present a novel game-theoretic formulation of Non-Negative Matrix Factorization (NNMF), a popular data-analysis method with many scientific and engineering applications. The game-theoretic formulation is shown to have favorable scaling…

计算机科学与博弈论 · 计算机科学 2021-04-13 Satpreet H. Singh

Coupled decompositions are a widely used tool for data fusion. As the volume of data increases, so does the dimensionality of matrices and tensors, highlighting the need for more efficient coupled decomposition algorithms. This paper…

数值分析 · 数学 2026-04-22 Erna Begovic , Anita Carevic , Ivana Sain Glibic

Given a collection of data points, non-negative matrix factorization (NMF) suggests to express them as convex combinations of a small set of `archetypes' with non-negative entries. This decomposition is unique only if the true archetypes…

机器学习 · 统计学 2017-05-09 Hamid Javadi , Andrea Montanari

Matrix factorization (MF), a cornerstone of recommender systems, decomposes user-item interaction matrices into latent representations. Traditional MF approaches, however, employ a two-stage, non-end-to-end paradigm, sequentially performing…

信息检索 · 计算机科学 2025-04-22 Shangde Gao , Ke Liu , Yichao Fu , Hongxia Xu , Jian Wu