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In this study, a novel non-negative tensor factorization (NTF)-based method for vibration-based local damage detection in rolling element bearings is proposed. As the diagnostic signal registered from a faulty machine is non-stationary, the…

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

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

We propose a novel methodology for forecasting spatio-temporal data using supervised semi-nonnegative matrix factorization (SSNMF) with frequency regularization. Matrix factorization is employed to decompose spatio-temporal data into…

机器学习 · 统计学 2024-06-21 Keunsu Kim , Hanbaek Lyu , Jinsu Kim , Jae-Hun Jung

Nonnegative matrix factorization is a powerful technique to realize dimension reduction and pattern recognition through single-layer data representation learning. Deep learning, however, with its carefully designed hierarchical structure,…

计算机视觉与模式识别 · 计算机科学 2017-07-31 Zhenxing Guo , Shihua Zhang

Non-negative Matrix Factorization (NMF) is a powerful technique for analyzing regularly-sampled data, i.e., data that can be stored in a matrix. For audio, this has led to numerous applications using time-frequency (TF) representations like…

音频与语音处理 · 电气工程与系统科学 2025-07-10 Krishna Subramani , Paris Smaragdis , Takuya Higuchi , Mehrez Souden

Non-negative matrix factorization (NMF) has previously been shown to be a useful decomposition for multivariate data. We interpret the factorization in a new way and use it to generate missing attributes from test data. We provide a joint…

数值分析 · 计算机科学 2010-07-05 Mithun Das Gupta

One of the major open problems in computer vision is detection of features in visually impaired images. In this paper, we describe a potential solution using Phase Stretch Transform, a new computational approach for image analysis, edge…

计算机视觉与模式识别 · 计算机科学 2017-06-16 Madhuri Suthar , Mohammad Asghari , Bahram Jalali

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

Matrix-variate data of high dimensions are frequently observed in finance and economics, spanning extended time periods, such as the long-term data on international trade flows among numerous countries. To address potential structural…

统计方法学 · 统计学 2024-04-03 Bin Chen , Elynn Y. Chen , Stevenson Bolivar , Rong Chen

Characterizing time-evolving networks is a challenging task, but it is crucial for understanding the dynamic behavior of complex systems such as the brain. For instance, how spatial networks of functional connectivity in the brain evolve…

应用统计 · 统计学 2021-01-27 Marie Roald , Suchita Bhinge , Chunying Jia , Vince Calhoun , Tülay Adalı , Evrim Acar

Calcium imaging has revolutionized systems neuroscience, providing the ability to image large neural populations with single-cell resolution. The resulting datasets are quite large, which has presented a barrier to routine open sharing of…

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 article, we study the properties of the nonlinear Fourier spectrum in order to gain better control of the temporal support of the signals synthesized using the inverse nonlinear Fourier transform (NFT). In particular, we provide…

计算物理 · 物理学 2018-09-17 Vishal Vaibhav

In this paper we present a methodology to address the problem of brain tissue deformation referred to as 'brain-shift'. This deformation occurs throughout a neurosurgery intervention and strongly alters the accuracy of the neuronavigation…

医学物理 · 物理学 2007-09-06 Marek Bucki , Claudio Lobos , Yohan Payan

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

Non-negative matrix factorization (NMF) is an important technique for obtaining low dimensional representations of datasets. However, classical NMF does not take into account data that is collected at different times or in different…

机器学习 · 计算机科学 2023-11-21 James Chapman , Yotam Yaniv , Deanna Needell

In this paper, we propose a distributed framework for reducing the dimensionality of high-dimensional, large-scale, heterogeneous matrix-variate time series data using a factor model. The data are first partitioned column-wise (or row-wise)…

机器学习 · 统计学 2026-01-19 Hangjin Jiang , Yuzhou Li , Zhaoxing Gao

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

We propose a novel framework for analyzing multivariate time series (MTS) data by integrating non-negative matrix factorization (NMF) with vector autoregression (VAR). Termed NMF-VAR, this method models the coefficient matrix of NMF as a…

统计方法学 · 统计学 2025-09-08 Kenichi Satoh

In this work, we propose a time-varying wave-shape extraction algorithm based on a modified version of the adaptive non-harmonic model for non-stationary signals. The model codifies the time-varying wave-shape information in the relative…

信号处理 · 电气工程与系统科学 2023-09-28 Joaquin Ruiz , Gastón Schlotthauer , Leandro Vignolo , Marcelo A. Colominas