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Non-negative matrix factorization (NMF) and non-negative tensor factorization (NTF) decompose non-negative high-dimensional data into non-negative low-rank components. NMF and NTF methods are popular for their intrinsic interpretability and…

机器学习 · 计算机科学 2024-12-02 Alexander Sietsema , Zerrin Vural , James Chapman , Yotam Yaniv , Deanna Needell

Nonnegative matrix factorization (NMF) has an established reputation as a useful data analysis technique in numerous applications. However, its usage in practical situations is undergoing challenges in recent years. The fundamental factor…

机器学习 · 计算机科学 2016-05-04 Mariano Tepper , Guillermo Sapiro

A Semi-supervised Segmentation Fusion algorithm is proposed using consensus and distributed learning. The aim of Unsupervised Segmentation Fusion (USF) is to achieve a consensus among different segmentation outputs obtained from different…

计算机视觉与模式识别 · 计算机科学 2015-02-27 Mete Ozay

Several approaches have been proposed to solve the spectral unmixing problem in hyperspectral image analysis. Among them the use of sparse regression techniques aims to characterize the abundances in pixels based on a large library of…

图像与视频处理 · 电气工程与系统科学 2021-02-12 L. C. Ayres , S. J. M. de Almeida , J. C. M. Bermudez , R. A. Borsoi

Non-negative matrix factorization (NMF) is a recently developed technique for finding parts-based, linear representations of non-negative data. Although it has successfully been applied in several applications, it does not always result in…

机器学习 · 计算机科学 2007-05-23 Patrik O. Hoyer

Dimensionality reduction is considered as an important step for ensuring competitive performance in unsupervised learning such as anomaly detection. Non-negative matrix factorization (NMF) is a popular and widely used method to accomplish…

机器学习 · 计算机科学 2021-02-08 Imtiaz Ahmed , Xia Ben Hu , Mithun P. Acharya , Yu Ding

Non-negative matrix factorization (NMF) is a popular unsupervised learning approach widely used in image clustering. However, in real-world clustering scenarios, most existing NMF methods are highly sensitive to noise corruption and are…

计算机视觉与模式识别 · 计算机科学 2025-05-01 Jingjing Liu , Nian Wu , Xianchao Xiu , Jianhua Zhang

In recent years, hyperspectral imaging, also known as imaging spectroscopy, has been paid an increasing interest in geoscience and remote sensing community. Hyperspectral imagery is characterized by very rich spectral information, which…

计算机视觉与模式识别 · 计算机科学 2020-07-20 Danfeng Hong , Jing Yao , Xin Wu , Jocelyn Chanussot , Xiao Xiang Zhu

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

Hyperspectral images provide a rich representation of the underlying spectrum for each pixel, allowing for a pixel-wise classification/segmentation into different classes. As the acquisition of labeled training data is very time-consuming,…

计算机视觉与模式识别 · 计算机科学 2023-01-25 Jan-Christopher Cohrs , Chandrajit Bajaj , Benjamin Berkels

Matrix factorization (MF) can extract the low-rank features and integrate the information of the data manifold distribution from high-dimensional data, which can consider the nonlinear neighbourhood information. Thus, MF has drawn wide…

分布式、并行与集群计算 · 计算机科学 2021-11-24 Zixuan Li , Hao Li , Kenli Li , Fan Wu , Lydia Chen , Keqin Li

Spectral unmixing methods incorporating spatial regularizations have demonstrated increasing interest. Although spatial regularizers which promote smoothness of the abundance maps have been widely used, they may overly smooth these maps…

图像与视频处理 · 电气工程与系统科学 2018-08-01 Tatsumi Uezato , Mathieu Fauvel , Nicolas Dobigeon

Tensor decomposition is an effective tool for learning multi-way structures and heterogeneous features from high-dimensional data, such as the multi-view images and multichannel electroencephalography (EEG) signals, are often represented by…

机器学习 · 计算机科学 2022-06-29 Wanguang Yin , Youzhi Qu , Zhengming Ma , Quanying Liu

In hyperspectral sparse unmixing, a successful approach employs spectral bundles to address the variability of the endmembers in the spatial domain. However, the regularization penalties usually employed aggregate substantial computational…

计算机视觉与模式识别 · 计算机科学 2024-01-25 Luciano Carvalho Ayres , Ricardo Augusto Borsoi , José Carlos Moreira Bermudez , Sérgio José Melo de Almeida

In this paper, we design a hierarchical clustering algorithm for high-resolution hyperspectral images. At the core of the algorithm, a new rank-two nonnegative matrix factorizations (NMF) algorithm is used to split the clusters, which is…

计算机视觉与模式识别 · 计算机科学 2015-02-18 Nicolas Gillis , Da Kuang , Haesun Park

This paper presents a novel Bayesian approach for hyperspectral image unmixing. The observed pixels are modeled by a linear combination of material signatures weighted by their corresponding abundances. A spike-and-slab abundance prior is…

应用统计 · 统计学 2022-05-04 Zeng Li , Yoann Altmann , Jie Chen , Stephen Mclaughlin , Susanto Rahardja

The blind fusion of unregistered hyperspectral images (HSIs) and multispectral images (MSIs) has attracted growing attention recently. To address the registration challenge, most existing methods employ spatial transformations on the HSI to…

计算机视觉与模式识别 · 计算机科学 2025-06-26 Kunjing Yang , Libin Zheng , Minru Bai , Ting Lu , Leyuan Fang

Nonnegative matrix factorization (NMF) under the separability assumption can provably be solved efficiently, even in the presence of noise, and has been shown to be a powerful technique in document classification and hyperspectral unmixing.…

机器学习 · 统计学 2015-04-02 Nicolas Gillis , Stephen A. Vavasis

Nonnegative matrix factorization (NMF) is a linear dimensionality technique for nonnegative data with applications such as image analysis, text mining, audio source separation and hyperspectral unmixing. Given a data matrix $M$ and a…

机器学习 · 计算机科学 2021-04-14 Junjun Pan , Nicolas Gillis

Hyperspectral images (HSI) contain a wealth of information over hundreds of contiguous spectral bands, making it possible to classify materials through subtle spectral discrepancies. However, the classification of this rich spectral…

机器学习 · 计算机科学 2018-12-07 Ramanarayan Mohanty , SL Happy , Aurobinda Routray