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The goal of hyperspectral unmixing is to decompose an electromagnetic spectral dataset measured over M spectral bands and T pixels into N constituent material spectra (or "end-members") with corresponding spatial abundances. In this paper,…

Information Theory · Computer Science 2015-08-05 Jeremy Vila , Philip Schniter , Joseph Meola

This paper presents an algorithm for the unsupervised learning of latent variable models from unlabeled sets of data. We base our technique on spectral decomposition, providing a technique that proves to be robust both in theory and in…

Machine Learning · Statistics 2017-04-05 Matteo Ruffini , Marta Casanellas , Ricard Gavaldà

Hyperspectral image (HSI) unmixing is a challenging research problem that tries to identify the constituent components, known as endmembers, and their corresponding proportions, known as abundances, in the scene by analysing images captured…

Image and Video Processing · Electrical Eng. & Systems 2025-03-13 Chao Zhou , Wei Pu , Miguel Rodrigues

Mixed pixels are presented in hyperspectral images due to low spatial resolution of hyperspectral sensors. Spectral unmixing decomposes mixed pixels spectra into endmembers spectra and abundance fractions. In this paper using of robust…

Computer Vision and Pattern Recognition · Computer Science 2012-12-06 Roozbeh Rajabi , Hassan Ghassemian

Hyperspectral unmixing (HU) plays a fundamental role in a wide range of hyperspectral applications. It is still challenging due to the common presence of outlier channels and the large solution space. To address the above two issues, we…

Computer Vision and Pattern Recognition · Computer Science 2017-08-29 Feiyun Zhu , Ying Wang , Bin Fan , Gaofeng Meng , Chunhong Pan

The contribution of this paper is two-fold. First, we present Indexing by Latent Dirichlet Allocation (LDI), an automatic document indexing method. The probability distributions in LDI utilize those in Latent Dirichlet Allocation (LDA), a…

Information Retrieval · Computer Science 2014-12-12 Yanshan Wang , Jae-Sung Lee , In-Chan Choi

Hyperspectral imaging (HSI) holds great potential for healthcare due to its rich spectral information. However, acquiring HSI data remains costly and technically demanding. Hyperspectral image reconstruction offers a practical solution by…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Yufei Wen , Yuting Zhang , Jingdan Kang , Hao Ren , Weibin Cheng , Jintai Chen , Kaishun Wu

Spectral unmixing (SU) expresses the mixed pixels existed in hyperspectral images as the product of endmember and abundance, which has been widely used in hyperspectral imagery analysis. However, the influence of light, acquisition…

Image and Video Processing · Electrical Eng. & Systems 2022-06-27 Ge Zhang , Shaohui Mei , Mingyang Ma , Yan Feng , Qian Du

Imaging spectrometers measure electromagnetic energy scattered in their instantaneous field view in hundreds or thousands of spectral channels with higher spectral resolution than multispectral cameras. Imaging spectrometers are therefore…

Data Analysis, Statistics and Probability · Physics 2012-04-25 José M. Bioucas-Dias , Antonio Plaza , Nicolas Dobigeon , Mario Parente , Qian Du , Paul Gader , Jocelyn Chanussot

Unmixing is a fundamental process in hyperspectral image processing in which the materials present in a mixed pixel are determined based on the spectra of candidate materials and the pixel spectrum. Practical and general utility requires a…

Image and Video Processing · Electrical Eng. & Systems 2025-03-24 Jade Preston , William Basener

We introduce incremental variational inference and apply it to latent Dirichlet allocation (LDA). Incremental variational inference is inspired by incremental EM and provides an alternative to stochastic variational inference. Incremental…

Machine Learning · Statistics 2015-07-23 Cedric Archambeau , Beyza Ermis

In this study, we propose a novel framework for hyperspectral unmixing by using an improved deep spectral convolution network (DSCN++) combined with endmember uncertainty. DSCN++ is used to compute high-level representations which are…

Computer Vision and Pattern Recognition · Computer Science 2019-10-22 Savas Ozkan , Gozde Bozdagi Akar

Hyperspectral unmixing is an important remote sensing task with applications including material identification and analysis. Characteristic spectral features make many pure materials identifiable from their visible-to-infrared spectra, but…

Computer Vision and Pattern Recognition · Computer Science 2020-07-14 John Janiczek , Parth Thaker , Gautam Dasarathy , Christopher S. Edwards , Philip Christensen , Suren Jayasuriya

Extracting reference spectra, or endmembers (EMs) from a given multi- or hyperspectral image, as well as estimating the size of the EM set, plays an important role in multispectral image processing. In this paper, we present…

Computer Vision and Pattern Recognition · Computer Science 2018-09-27 Christoph Schikora , Markus Plack , Andreas Kolb

This paper introduces a robust mixing model to describe hyperspectral data resulting from the mixture of several pure spectral signatures. This new model not only generalizes the commonly used linear mixing model, but also allows for…

Methodology · Statistics 2015-10-28 Cédric Févotte , Nicolas Dobigeon

We introduce Latent Space Distribution Matching (LSDM), a novel framework for semi-supervised generative modeling of conditional distributions. LSDM operates in two stages: (i) learning a low-dimensional latent space from both paired and…

Machine Learning · Statistics 2026-03-05 Kwong Yu Chong , Long Feng

Labeled Latent Dirichlet Allocation (LLDA) is an extension of the standard unsupervised Latent Dirichlet Allocation (LDA) algorithm, to address multi-label learning tasks. Previous work has shown it to perform in par with other…

Machine Learning · Statistics 2017-09-19 Yannis Papanikolaou , Grigorios Tsoumakas

We provide an end-to-end differentially private spectral algorithm for learning LDA, based on matrix/tensor decompositions, and establish theoretical guarantees on utility/consistency of the estimated model parameters. The spectral…

Machine Learning · Statistics 2020-01-20 Christopher DeCarolis , Mukul Ram , Seyed A. Esmaeili , Yu-Xiang Wang , Furong Huang

In this paper, we develop a finite mixture of convolutional distributions, a statistical model to analyze continuous data distributed approximately on a mixture of low-dimensional affine subspaces. The observations are assumed independent…

Statistics Theory · Mathematics 2026-04-21 Sunrit Chakraborty , XuanLong Nguyen

In regression tasks, aleatoric uncertainty is commonly addressed by considering a parametric distribution of the output variable, which is based on strong assumptions such as symmetry, unimodality or by supposing a restricted shape. These…

Machine Learning · Computer Science 2019-10-30 Axel Brando , Jose A. Rodríguez-Serrano , Jordi Vitrià , Alberto Rubio
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