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Time-frequency representation (TFR) is often used for non-stationary signal analysis. The most intuitive and interpretable TFR is the spectrogram. Recently, a concept of non-negative matrix factorization (NMF) has been successfully applied…

信号处理 · 电气工程与系统科学 2024-03-20 Mateusz Gabor , Rafal Zdunek , Radoslaw Zimroz , Agnieszka Wylomanska

Non-negative matrix factorization (NMF) and its variants have been widely employed in clustering and classification tasks (Long, & Jian , 2021). However, noises can seriously affect the results of our experiments. Our research is dedicated…

机器学习 · 计算机科学 2023-12-05 Cheng Zeng , Jiaqi Tian , Yixuan Xu

Symmetric nonnegative matrix factorization (symNMF) is a variant of nonnegative matrix factorization (NMF) that allows to handle symmetric input matrices and has been shown to be particularly well suited for clustering tasks. In this paper,…

数值分析 · 数学 2020-03-11 François Moutier , Arnaud Vandaele , Nicolas Gillis

Non-negative matrix factorization (NMF) is a fundamental matrix decomposition technique that is used primarily for dimensionality reduction and is increasing in popularity in the biological domain. Although finding a unique NMF is generally…

信息论 · 计算机科学 2021-08-23 Rami Nasser , Yonina C. Eldar , Roded Sharan

In this paper we formulate the nonnegative matrix factorisation (NMF) problem as a maximum likelihood estimation problem for hidden Markov models and propose online expectation-maximisation (EM) algorithms to estimate the NMF and the other…

机器学习 · 计算机科学 2014-01-14 Sinan Yildirim , A. Taylan Cemgil , Sumeetpal S. Singh

In this paper we consider the Nonnegative Matrix Factorization (NMF) problem: given an (elementwise) nonnegative matrix $V \in \R_+^{m\times n}$ find, for assigned $k$, nonnegative matrices $W\in\R_+^{m\times k}$ and $H\in\R_+^{k\times n}$…

最优化与控制 · 数学 2014-07-08 Lorenzo Finesso , Peter Spreij

Nonnegative Matrix Factorization (NMF) is a widely used technique for data representation. Inspired by the expressive power of deep learning, several NMF variants equipped with deep architectures have been proposed. However, these methods…

机器学习 · 计算机科学 2017-11-21 Yuning Qiu , Guoxu Zhou , Kan Xie

Non-negative matrix factorization (NMF) based topic modeling is widely used in natural language processing (NLP) to uncover hidden topics of short text documents. Usually, training a high-quality topic model requires large amount of textual…

计算与语言 · 计算机科学 2022-05-27 Shijing Si , Jianzong Wang , Ruiyi Zhang , Qinliang Su , Jing Xiao

Symmetric Nonnegative Matrix Factorization (SNMF) models arise naturally as simple reformulations of many standard clustering algorithms including the popular spectral clustering method. Recent work has demonstrated that an elementary…

计算机视觉与模式识别 · 计算机科学 2016-09-20 Reza Borhani , Jeremy Watt , Aggelos Katsaggelos

As we all known, the nonnegative matrix factorization (NMF) is a dimension reduction method that has been widely used in image processing, text compressing and signal processing etc. In this paper, an algorithm for nonnegative matrix…

数值分析 · 数学 2013-05-27 Shu-Zhen Lai , Hou-Biao Li , Zu-Tao Zhang

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

We present Vibrato Nonnegative Tensor Factorization, an algorithm for single-channel unsupervised audio source separation with an application to separating instrumental or vocal sources with nonstationary pitch from music recordings. Our…

声音 · 计算机科学 2016-06-02 Elliot Creager , Noah D. Stein , Roland Badeau , Philippe Depalle

This paper describes algorithms for nonnegative matrix factorization (NMF) with the beta-divergence (beta-NMF). The beta-divergence is a family of cost functions parametrized by a single shape parameter beta that takes the Euclidean…

机器学习 · 计算机科学 2011-03-09 Cédric Févotte , Jérôme Idier

In this report we describe an ongoing line of research for solving single-channel source separation problems. Many monaural signal decomposition techniques proposed in the literature operate on a feature space consisting of a time-frequency…

声音 · 计算机科学 2015-04-29 Pablo Sprechmann , Joan Bruna , Yann LeCun

This paper describes a new approach, based on linear programming, for computing nonnegative matrix factorizations (NMFs). The key idea is a data-driven model for the factorization where the most salient features in the data are used to…

最优化与控制 · 数学 2013-02-05 Victor Bittorf , Benjamin Recht , Christopher Re , Joel A. Tropp

Nonnegative matrix factorization (NMF) is a popular dimension reduction technique that produces interpretable decomposition of the data into parts. However, this decompostion is not generally identifiable (even up to permutation and…

机器学习 · 计算机科学 2016-04-05 W. Pan , F. Doshi-Velez

Nonnegative Matrix Factorization (NMF), first proposed in 1994 for data analysis, has received successively much attention in a great variety of contexts such as data mining, text clustering, computer vision, bioinformatics, etc. In this…

数值分析 · 数学 2019-03-05 Paola Favati , Grazia Lotti , Ornella Menchi , Francesco Romani

Collaborative filtering generates recommendations by exploiting user-item similarities based on rating data, which often contains numerous unrated items. To predict scores for unrated items, matrix factorization techniques such as…

统计力学 · 物理学 2025-07-30 Yukino Terui , Yuka Inoue , Yohei Hamakawa , Kosuke Tatsumura , Kazue Kudo

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

Discriminative models for source separation have recently been shown to produce impressive results. However, when operating on sources outside of the training set, these models can not perform as well and are cumbersome to update. Classical…

声音 · 计算机科学 2019-11-04 Shrikant Venkataramani , Efthymios Tzinis , Paris Smaragdis