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Nonnegative matrix factorization (NMF) has become a very popular technique in machine learning because it automatically extracts meaningful features through a sparse and part-based representation. However, NMF has the drawback of being…

机器学习 · 统计学 2012-12-07 Nicolas Gillis

This paper tackles two major problem settings for interpretability of audio processing networks, post-hoc and by-design interpretation. For post-hoc interpretation, we aim to interpret decisions of a network in terms of high-level audio…

In this paper, we introduce and provide a short overview of nonnegative matrix factorization (NMF). Several aspects of NMF are discussed, namely, the application in hyperspectral imaging, geometry and uniqueness of NMF solutions,…

数值分析 · 计算机科学 2017-03-03 Nicolas Gillis

In this paper, the problem of Magnetic Resonance (MR) image reconstruction from partial Fourier samples has been considered. To this aim, we leverage the evidence that MR images are sparser than their zero-filled reconstructed ones from…

信息论 · 计算机科学 2015-08-19 Fateme Ghayem , Farokh Marvasti

Here, we propose a new reconstruction method of smooth time-series signals. A key concept of this study is not considering the model in signal space, but in delay-embedded space. In other words, we indirectly represent a time-series signal…

音频与语音处理 · 电气工程与系统科学 2022-03-21 Tatsuya Yokota

Nowadays, nonnegative matrix factorization (NMF) based methods have been widely applied to blind spectral unmixing. Introducing proper regularizers to NMF is crucial for mathematically constraining the solutions and physically exploiting…

计算机视觉与模式识别 · 计算机科学 2020-10-12 Min Zhao , Tiande Gao , Jie Chen , Wei Chen

Non-negative Matrix Factorization (NMF) is one of the most popular techniques for data representation and clustering, and has been widely used in machine learning and data analysis. NMF concentrates the features of each sample into a…

图像与视频处理 · 电气工程与系统科学 2021-03-26 Mulin Chen , Maoguo Gong , Xuelong Li

Sparse signals can be recovered from a reduced set of samples by using compressive sensing algorithms. In common methods the signal is recovered in the sparse domain. A method for the reconstruction of sparse signal which reconstructs the…

信息论 · 计算机科学 2015-04-28 Ljubisa Stankovic , Milos Dakovic

Non-negative matrix factorization is a problem of dimensionality reduction and source separation of data that has been widely used in many fields since it was studied in depth in 1999 by Lee and Seung, including in compression of data,…

机器学习 · 计算机科学 2021-03-19 Raimon Fabregat , Nelly Pustelnik , Paulo Gonçalves , Pierre Borgnat

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

The reconstruction of dynamic positron emission tomography (PET) images from noisy projection data is a significant but challenging problem. In this paper, we introduce an unsupervised learning approach, Non-negative Implicit Neural…

计算机视觉与模式识别 · 计算机科学 2025-06-25 Chaozhi Zhang , Wenxiang Ding , Roy Y. He , Xiaoqun Zhang , Qiaoqiao Ding

Non-negative matrix factorization (NMF) is a common method for generating topic models from text data. NMF is widely accepted for producing good results despite its relative simplicity of implementation and ease of computation. One…

机器学习 · 计算机科学 2016-08-09 Brendan Gavin , Vijay Gadepally , Jeremy Kepner

Magnetic Resonance Fingerprinting (MRF) is a time-efficient approach to quantitative MRI, enabling the mapping of multiple tissue properties from a single, accelerated scan. However, achieving accurate reconstructions remains challenging,…

图像与视频处理 · 电气工程与系统科学 2024-12-19 Perla Mayo , Carolin M. Pirkl , Alin Achim , Bjoern H. Menze , Mohammad Golbabaee

Sparse modeling is one of the efficient techniques for imaging that allows recovering lost information. In this paper, we present a novel iterative phase-retrieval algorithm using a sparse representation of the object amplitude and phase.…

计算机视觉与模式识别 · 计算机科学 2011-08-17 Artem Migukin , Vladimir Katkovnik , Jaakko Astola

Non-negative Matrix Factorization (NMF) is a useful method to extract features from multivariate data, but an important and sometimes neglected concern is that NMF can result in non-unique solutions. Often, there exist a Set of Feasible…

应用统计 · 统计学 2021-01-20 Ragnhild Laursen , Asger Hobolth

The reconstruction task in photoacoustic tomography can vary a lot depending on measured targets, geometry, and especially the quantity we want to recover. Specifically, as the signal is generated due to the coupling of light and sound by…

医学物理 · 物理学 2023-11-28 Andreas Hauptmann , Tanja Tarvainen

Non-negative matrix factorization (NMF) has become a popular method for representing meaningful data by extracting a non-negative basis feature from an observed non-negative data matrix. Some of the unique features of this method in…

最优化与控制 · 数学 2022-11-15 Sajad Fathi Hafshejani , Zahra Moaberfard

Data often comes in the form of an array or matrix. Matrix factorization techniques attempt to recover missing or corrupted entries by assuming that the matrix can be written as the product of two low-rank matrices. In other words, matrix…

机器学习 · 计算机科学 2015-12-16 Gintare Karolina Dziugaite , Daniel M. Roy

Many computer vision problems can be posed as learning a low-dimensional subspace from high dimensional data. The low rank matrix factorization (LRMF) represents a commonly utilized subspace learning strategy. Most of the current LRMF…

计算机视觉与模式识别 · 计算机科学 2016-09-21 Xiangyong Cao , Qian Zhao , Deyu Meng , Yang Chen , Zongben Xu

Approximate message passing (AMP) algorithms have shown great promise in sparse signal reconstruction due to their low computational requirements and fast convergence to an exact solution. Moreover, they provide a probabilistic framework…

声音 · 计算机科学 2018-02-02 Turab Iqbal , Wenwu Wang