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Hyperspectral imagery collected from airborne or satellite sources inevitably suffers from spectral variability, making it difficult for spectral unmixing to accurately estimate abundance maps. The classical unmixing model, the linear…

Computer Vision and Pattern Recognition · Computer Science 2019-06-25 Danfeng Hong , Naoto Yokoya , Jocelyn Chanussot , Xiao Xiang Zhu

Let $\pi$ denote the intractable posterior density that results when the likelihood from a multivariate linear regression model with errors from a scale mixture of normals is combined with the standard non-informative prior. There is a…

Statistics Theory · Mathematics 2015-12-08 Qian Qin , James P. Hobert

Hyperspectral unmixing aims at estimating material signatures (known as endmembers) and the corresponding proportions (referred to abundances), which is a critical preprocessing step in various hyperspectral imagery applications. This study…

Computer Vision and Pattern Recognition · Computer Science 2025-08-06 Gang Yang

We consider the problem of fusing an arbitrary number of multiband, i.e., panchromatic, multispectral, or hyperspectral, images belonging to the same scene. We use the well-known forward observation and linear mixture models with Gaussian…

Computer Vision and Pattern Recognition · Computer Science 2018-07-19 Reza Arablouei

A simple, yet general, formalism for the optimized linear combination of astrophysical images is constructed and demonstrated. The formalism allows the user to combine multiple undersampled images to provide oversampled output at high…

Instrumentation and Methods for Astrophysics · Physics 2015-05-28 Barnaby Rowe , Christopher Hirata , Jason Rhodes

This paper introduces a graph Laplacian regularization in the hyperspectral unmixing formulation. The proposed regularization relies upon the construction of a graph representation of the hyperspectral image. Each node in the graph…

Computer Vision and Pattern Recognition · Computer Science 2014-10-15 Rita Ammanouil , André Ferrari , Cédric Richard

Linear spectral mixture models (LMM) provide a concise form to disentangle the constituent materials (endmembers) and their corresponding proportions (abundance) in a single pixel. The critical challenges are how to model the spectral prior…

Computer Vision and Pattern Recognition · Computer Science 2025-12-11 Yimin Zhu , Lincoln Linlin Xu

The recently advanced unsupervised learning approaches use the siamese-like framework to compare two "views" from the same image for learning representations. Making the two views distinctive is a core to guarantee that unsupervised methods…

Computer Vision and Pattern Recognition · Computer Science 2022-02-18 Zhiqiang Shen , Zechun Liu , Zhuang Liu , Marios Savvides , Trevor Darrell , Eric Xing

We propose a Bayesian nonparametric mixture model for prediction- and information extraction tasks with an efficient inference scheme. It models categorical-valued time series that exhibit dynamics from multiple underlying patterns (e.g.…

Machine Learning · Statistics 2017-06-21 Jan Reubold , Thorsten Strufe , Ulf Brefeld

Hyperspectral unmixing is a critical yet challenging task in hyperspectral image interpretation. Recently, great efforts have been made to solve the hyperspectral unmixing task via deep autoencoders. However, existing networks mainly focus…

Image and Video Processing · Electrical Eng. & Systems 2023-08-09 Lin Qi , Xuewen Qin , Feng Gao , Junyu Dong , Xinbo Gao

In this paper, we introduce a new algorithm based on archetypal analysis for blind hyperspectral unmixing, assuming linear mixing of endmembers. Archetypal analysis is a natural formulation for this task. This method does not require the…

Image and Video Processing · Electrical Eng. & Systems 2022-09-27 Alexandre Zouaoui , Gedeon Muhawenayo , Behnood Rasti , Jocelyn Chanussot , Julien Mairal

This paper presents a hierarchical Bayesian model to reconstruct sparse images when the observations are obtained from linear transformations and corrupted by an additive white Gaussian noise. Our hierarchical Bayes model is well suited to…

Data Analysis, Statistics and Probability · Physics 2011-01-19 Nicolas Dobigeon , Alfred O. Hero , Jean-Yves Tourneret

Raman spectroscopy is widely used across scientific domains to characterize the chemical composition of samples in a non-destructive, label-free manner. Many applications entail the unmixing of signals from mixtures of molecular species to…

In this article, we propose a novel spatial global-local spike-and-slab selection prior for image-on-scalar regression. We consider a Bayesian hierarchical Gaussian process model for image smoothing, that uses a flexible Inverse-Wishart…

Methodology · Statistics 2022-12-19 Zijian Zeng , Meng Li , Marina Vannucci

We introduce a new spectral method for image segmentation that incorporates long range relationships for global appearance modeling. The approach combines two different graphs, one is a sparse graph that captures spatial relationships…

Computer Vision and Pattern Recognition · Computer Science 2022-10-10 Jeova F. S. Rocha Neto , Pedro F. Felzenszwalb

Deep learning-based image fusion approaches have obtained wide attention in recent years, achieving promising performance in terms of visual perception. However, the fusion module in the current deep learning-based methods suffers from two…

Computer Vision and Pattern Recognition · Computer Science 2022-02-01 Dongyu Rao , Xiao-Jun Wu , Tianyang Xu , Guoyang Chen

Unsupervised image segmentation aims at clustering the set of pixels of an image into spatially homogeneous regions. We introduce here a class of Bayesian nonparametric models to address this problem. These models are based on a combination…

Machine Learning · Statistics 2016-02-10 Richard Yi Da Xu , Francois Caron , Arnaud Doucet

Inference of latent feature models in the Bayesian nonparametric setting is generally difficult, especially in high dimensional settings, because it usually requires proposing features from some prior distribution. In special cases, where…

Machine Learning · Statistics 2022-06-14 Michael Minyi Zhang , Sinead A. Williamson , Fernando Perez-Cruz

Unregistered hyperspectral image (HSI) super-resolution (SR) typically aims to enhance a low-resolution HSI using an unregistered high-resolution reference image. In this paper, we propose an unmixing-based fusion framework that decouples…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Yingkai Zhang , Tao Zhang , Jing Nie , Ying Fu

In this paper, we propose an unified hyperspectral image classification method which takes three-dimensional hyperspectral data cube as an input and produces a classification map. In the proposed method, a deep neural network which uses…

Computer Vision and Pattern Recognition · Computer Science 2019-05-23 Berkan Demirel , Omer Ozdil , Yunus Emre Esin , Safak Ozturk