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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

Non-negative matrix factorization (NMF) is a natural model of admixture and is widely used in science and engineering. A plethora of algorithms have been developed to tackle NMF, but due to the non-convex nature of the problem, there is…

机器学习 · 计算机科学 2015-07-09 Rong Ge , James Zou

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…

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

Nonnegative matrix factorization (NMF) has become a workhorse for signal and data analytics, triggered by its model parsimony and interpretability. Perhaps a bit surprisingly, the understanding to its model identifiability---the major…

信号处理 · 电气工程与系统科学 2019-03-27 Xiao Fu , Kejun Huang , Nicholas D. Sidiropoulos , Wing-Kin Ma

Nonnegative Matrix Factorization (NMF) is an unsupervised learning algorithm that produces a linear, parts-based approximation of a data matrix. NMF constructs a nonnegative low rank basis matrix and a nonnegative low rank matrix of weights…

机器学习 · 统计学 2020-12-08 Matthew Corsetti , Ernest Fokoué

One of the challenges in hyperspectral data analysis is the presence of mixed pixels. Mixed pixels are the result of low spatial resolution of hyperspectral sensors. Spectral unmixing methods decompose a mixed pixel into a set of endmembers…

计算机视觉与模式识别 · 计算机科学 2015-06-05 Roozbeh Rajabi , Hassan Ghassemian

Nonnegative Matrix Factorization (NMF) aims to factorize a matrix into two optimized nonnegative matrices and has been widely used for unsupervised learning tasks such as product recommendation based on a rating matrix. However, although…

社会与信息网络 · 计算机科学 2015-04-03 Junyu Xuan , Jie Lu , Xiangfeng Luo , Guangquan Zhang

Image matching is a fundamental and critical task of multisource remote sensing image applications. However, remote sensing images are susceptible to various noises. Accordingly, how to effectively achieve accurate matching in noise images…

计算机视觉与模式识别 · 计算机科学 2024-10-17 Yuan Li , Dapeng Wu , Yaping Cui , Peng He , Yuan Zhang , Ruyan Wang

Nonnegative matrix factorization (NMF) is a powerful tool in data exploratory analysis by discovering the hidden features and part-based patterns from high-dimensional data. NMF and its variants have been successfully applied into diverse…

计算机视觉与模式识别 · 计算机科学 2017-07-27 Lihua Zhang , Shihua Zhang

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…

The Retinex model is one of the most representative and effective methods for low-light image enhancement. However, the Retinex model does not explicitly tackle the noise problem, and shows unsatisfactory enhancing results. In recent years,…

图像与视频处理 · 电气工程与系统科学 2023-02-20 Tingting Wu , Wenna Wu , Ying Yang , Feng-Lei Fan , Tieyong Zeng

Matrix factorization techniques have been widely used as a method for collaborative filtering for recommender systems. In recent times, different variants of deep learning algorithms have been explored in this setting to improve the task of…

机器学习 · 计算机科学 2019-03-26 Vaibhav Krishna , Tian Guo , Nino Antulov-Fantulin

We introduce a new method based on nonnegative matrix factorization, Neural NMF, for detecting latent hierarchical structure in data. Datasets with hierarchical structure arise in a wide variety of fields, such as document classification,…

机器学习 · 计算机科学 2023-03-02 Tyler Will , Runyu Zhang , Eli Sadovnik , Mengdi Gao , Joshua Vendrow , Jamie Haddock , Denali Molitor , Deanna Needell

The core challenge of hyperspectral image denoising is striking the right balance between data fidelity and noise prior modeling. Most existing methods place too much emphasis on the intrinsic priors of the image while overlooking diverse…

计算机视觉与模式识别 · 计算机科学 2026-04-22 Xuelin Xie , Xiliang Lu , Zhengshan Wang , Yang Zhang , Long Chen

Nonnegative matrix factorization (NMF) has become a prominent technique for the analysis of image databases, text databases and other information retrieval and clustering applications. In this report, we define an exact version of NMF. Then…

数值分析 · 计算机科学 2007-09-27 Stephen A. Vavasis

Contrast enhancement and noise removal are coupled problems for low-light image enhancement. The existing Retinex based methods do not take the coupling relation into consideration, resulting in under or over-smoothing of the enhanced…

图像与视频处理 · 电气工程与系统科学 2019-11-27 Yang Wang , Yang Cao , Zheng-Jun Zha , Jing Zhang , Zhiwei Xiong , Wei Zhang , Feng Wu

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

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

This paper proposes a novel image contrast enhancement method based on both a noise aware shadow-up function and Retinex (retina and cortex) decomposition. Under low light conditions, images taken by digital cameras have low contrast in…

计算机视觉与模式识别 · 计算机科学 2018-11-09 Chien Cheng Chien , Yuma Kinoshita , Sayaka Shiota , Hitoshi Kiya