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Nonnegative matrix factorization (NMF) seeks a low-rank approximation $X \approx UV^T$ with nonnegative factors and is commonly solved using interior methods that enforce feasibility throughout optimization. We show that such…

机器学习 · 计算机科学 2026-05-20 Qiujing Lu , Tonmoy Monsoor , Ehsan Ebrahimzadeh , Kartik Sharma , Vwani Roychowdhury

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

Nonnegative matrix factorization (NMF) is a powerful technique for dimension reduction, extracting latent factors and learning part-based representation. For large datasets, NMF performance depends on some major issues: fast algorithms,…

最优化与控制 · 数学 2015-07-01 Duy-Khuong Nguyen , Tu-Bao Ho

Noise reduction constitutes a crucial operation within Digital Signal Processing. Regrettably, it frequently remains neglected when dealing with the processing of convolutional features in segmentation networks. This oversight could trigger…

计算机视觉与模式识别 · 计算机科学 2025-12-01 Hong Zheng , Nan Mu , Han Su , Lin Feng , Xiaoning Li

Tensors naturally model many real world processes which generate multi-aspect data. Such processes appear in many different research disciplines, e.g, chemometrics, computer vision, psychometrics and neuroimaging analysis. Tensor…

数据结构与算法 · 计算机科学 2009-09-29 Charalampos E. Tsourakakis

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

This paper examines fundamental error characteristics for a general class of matrix completion problems, where the matrix of interest is a product of two a priori unknown matrices, one of which is sparse, and the observations are noisy. Our…

信息论 · 计算机科学 2017-10-27 Abhinav V. Sambasivan , Jarvis D. Haupt

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

Traditional NMF-based signal decomposition relies on the factorization of spectral data, which is typically computed by means of short-time frequency transform. In this paper we propose to relax the choice of a pre-fixed transform and learn…

机器学习 · 计算机科学 2017-12-18 Dylan Fagot , Cédric Févotte , Herwig Wendt

Nonnegative Matrix Factorization(NMF) is a common used technique in machine learning to extract features out of data such as text documents and images thanks to its natural clustering properties. In particular, it is popular in image…

计算机视觉与模式识别 · 计算机科学 2016-08-05 Giovanni Barbarino

We consider the problem of accurately and efficiently querying a remote server to retrieve information about images captured by a mobile device. In addition to reduced transmission overhead and computational complexity, the retrieval…

计算机视觉与模式识别 · 计算机科学 2016-05-10 Jacob Chakareski , Immanuel Manohar , Shantanu Rane

Unseen noise signal which is not considered in a model training process is difficult to anticipate and would lead to performance degradation. Various methods have been investigated to mitigate unseen noise. In our previous work, an…

音频与语音处理 · 电气工程与系统科学 2022-10-24 Donghyeon Kim , Gwantae Kim , Bokyeung Lee , Jeong-gi Kwak , David K. Han , Hanseok Ko

A robust algorithm for non-negative matrix factorization (NMF) is presented in this paper with the purpose of dealing with large-scale data, where the separability assumption is satisfied. In particular, we modify the Linear Programming…

机器学习 · 统计学 2014-01-10 Jason Gejie Liu , Shuchin Aeron

Nonnegative matrix factorization (NMF) is widely used for clustering with strong interpretability. Among general NMF problems, symmetric NMF is a special one that plays an important role in graph clustering where each element measures the…

机器学习 · 计算机科学 2023-11-07 Mengyuan Zhang , Kai Liu

Although many techniques have been applied to matrix factorization (MF), they may not fully exploit the feature structure. In this paper, we incorporate the grouping effect into MF and propose a novel method called Robust Matrix…

机器学习 · 计算机科学 2021-07-09 Haiyan Jiang , Shuyu Li , Luwei Zhang , Haoyi Xiong , Dejing Dou

High performance computing (HPC) facilities consist of a large number of interconnected computing units (or nodes) that execute highly complex scientific simulations to support scientific research. Monitoring such facilities, in real-time,…

分布式、并行与集群计算 · 计算机科学 2018-09-28 Niyazi Sorkunlu , Duc Thanh Anh Luong , Varun Chandola

Copy-move forgery on speech (CMF), coupled with post-processing techniques, presents a great challenge to the forensic detection and localization of tampered areas. Most of the existing CMF detection approaches necessitate pre-segmentation…

音频与语音处理 · 电气工程与系统科学 2023-09-11 Dong Yang , Mingle Liu , Muyong Cao

Nonnegative matrix factorization (NMF) has been widely used in machine learning and signal processing because of its non-subtractive, part-based property which enhances interpretability. It is often assumed that the latent dimensionality…

机器学习 · 统计学 2018-10-25 Zhaoqiang Liu

The recently proposed tensor robust principal component analysis (TRPCA) methods based on tensor singular value decomposition (t-SVD) have achieved numerous successes in many fields. However, most of these methods are only applicable to…

机器学习 · 计算机科学 2023-11-13 Jianan Liu , Chunguang Li

Non-negative Matrix Factorization (NMF) has proven to be a powerful unsupervised learning method for uncovering hidden features in complex and noisy data sets with applications in data mining, text recognition, dimension reduction, face…