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Given a set of images, whose pixel values can be considered as the components of a vector, it is interesting to estimate the modulus of such a vector in some localised areas corresponding to a compact signal. For instance, the…

宇宙学与河外天体物理 · 物理学 2010-11-02 F. Argueso , J. L. Sanz , D. Herranz , M. Lopez-Caniego , J. Gonzalez-Nuevo

Multiresolution Matrix Factorization (MMF) is unusual amongst fast matrix factorization algorithms in that it does not make a low rank assumption. This makes MMF especially well suited to modeling certain types of graphs with complex…

机器学习 · 计算机科学 2021-11-04 Truong Son Hy , Risi Kondor

Non-negative matrix factorization (NMF) is one of the most popular decomposition techniques for multivariate data. NMF is a core method for many machine-learning related computational problems, such as data compression, feature extraction,…

数值分析 · 计算机科学 2017-12-07 Gabriele Torre , Michael Graber

We present a neural network that can act as an equivalent to a Non-Negative Matrix Factorization (NMF), and further show how it can be used to perform supervised source separation. Due to the extensibility of this approach we show how we…

声音 · 计算机科学 2016-09-13 Paris Smaragdis , Shrikant Venkataramani

Coupled matrix and tensor factorizations (CMTF) are frequently used to jointly analyze data from multiple sources, also called data fusion. However, different characteristics of datasets stemming from multiple sources pose many challenges…

机器学习 · 计算机科学 2021-04-21 Carla Schenker , Jeremy E. Cohen , Evrim Acar

In this paper we explore avenues for improving the reliability of dimensionality reduction methods such as Non-Negative Matrix Factorization (NMF) as interpretive exploratory data analysis tools. We first explore the difficulties of the…

人工智能 · 计算机科学 2009-04-22 Nikolaos Vasiloglou , Alexander G. Gray , David V. Anderson

Many datasets are obtained as a resolution trade-off between two adversarial dimensions; for example between the frequency and the temporal resolutions for the spectrogram of an audio signal, and between the number of wavelengths and the…

信号处理 · 电气工程与系统科学 2021-12-20 Valentin Leplat , Nicolas Gillis , Cédric Févotte

In "Unlabeled Sensing", one observes a set of linear measurements of an underlying signal with incomplete or missing information about their ordering, which can be modeled in terms of an unknown permutation. Previous work on the case of a…

信息论 · 计算机科学 2020-07-14 Hang Zhang , Martin Slawski , Ping Li

Nonnegative Matrix Factorization (NMF) is a data analysis technique which allows compression and interpretation of nonnegative data. NMF became widely studied after the publication of the seminal paper by Lee and Seung (Learning the Parts…

数值分析 · 数学 2008-10-24 Nicolas Gillis , François Glineur

Considering a mixed signal composed of various audio sources and recorded with a single microphone, we consider on this paper the blind audio source separation problem which consists in isolating and extracting each of the sources. To…

信号处理 · 电气工程与系统科学 2020-07-15 Valentin Leplat , Nicolas Gillis , Man Shun Ang

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…

This paper introduces a multi-frequency factorization method for imaging a time-dependent source, specifically to recover its spatial support and the associated excitation instants. Using far-field data from two opposite directions, we…

数值分析 · 数学 2026-04-28 Guanqiu Ma , Hongxia Guo , Guanghui Hu

Traditional nonnegative matrix factorization (NMF) learns a new feature representation on the whole data space, which means treating all features equally. However, a subspace is often sufficient for accurate representation in practical…

计算机视觉与模式识别 · 计算机科学 2022-04-19 Junhang Li , Jiao Wei , Can Tong , Tingting Shen , Yuchen Liu , Chen Li , Shouliang Qi , Yudong Yao , Yueyang Teng

We consider the inverse source problems with multi-frequency sparse near field measurements. In contrast to the existing near field operator based on the integral over the space variable, a multi-frequency near field operator is introduced…

数值分析 · 数学 2021-09-06 Xiaodong Liu , Shixu Meng

We consider matrix factorization (MF) with certain constraints, which finds wide applications in various areas. Leveraging variational inference (VI) and unitary approximate message passing (UAMP), we develop a Bayesian approach to MF with…

信号处理 · 电气工程与系统科学 2022-08-02 Zhengdao Yuan , Qinghua Guo , Yonina C. Eldar , Yonghui Li

In this paper we propose a method for separation of moving sound sources. The method is based on first tracking the sources and then estimation of source spectrograms using multichannel non-negative matrix factorization (NMF) and extracting…

声音 · 计算机科学 2017-10-30 Joonas Nikunen , Aleksandr Diment , Tuomas Virtanen

This letter proposes a new approach to improve the accuracy of the Energy-based source localization methods in urban acoustic scenes. The proposed acoustic energy sensing flow estimation (ESFE) uses the sensors signal nonstationarity degree…

音频与语音处理 · 电气工程与系统科学 2019-10-08 M. Alves , R. Coelho , E. Dranka

This paper studies the source (event) localization problem in decentralized wireless sensor networks (WSNs) under the fault model without knowing the sensor parameters. Event localizations have many applications such as localizing…

机器学习 · 计算机科学 2020-11-03 Akram Hussain , Yuan Luo

The nonnegative matrix factorization (NMF) is widely used in signal and image processing, including bio-informatics, blind source separation and hyperspectral image analysis in remote sensing. A great challenge arises when dealing with a…

计算机视觉与模式识别 · 计算机科学 2016-03-29 Fei Zhu , Paul Honeine , Maya Kallas

The reconstruction of the unknown acoustic source is studied using the noisy multiple frequency data on a remote closed surface. Assume that the unknown source is coded in a spatial dependent piecewise constant function, whose support set…

数值分析 · 数学 2019-07-23 Zhiliang Deng , Xiaomei Yang , Jiangfeng Huang