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This paper presents an unsupervised algorithm for nonlinear unmixing of hyperspectral images. The proposed model assumes that the pixel reflectances result from a nonlinear function of the abundance vectors associated with the pure spectral…

机器学习 · 统计学 2015-06-05 Yoann Altmann , Nicolas Dobigeon , Steve McLaughlin , Jean-Yves Tourneret

Although many spectral unmixing models have been developed to address spectral variability caused by variable incident illuminations, the mechanism of the spectral variability is still unclear. This paper proposes an unmixing model, named…

计算机视觉与模式识别 · 计算机科学 2020-07-24 Tatsumi Uezato , Naoto Yokoya , Wei He

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 this paper, we provide novel algorithms with identifiability guarantees for simplex-structured matrix factorization (SSMF), a generalization of nonnegative matrix factorization. Current state-of-the-art algorithms that provide…

机器学习 · 计算机科学 2021-05-12 Maryam Abdolali , Nicolas Gillis

This paper presents a novel approach that combines the Deep Ritz Method (DRM) with Fourier feature mapping to solve minimization problems comprised of multi-well, non-convex energy potentials. These problems present computational challenges…

机器学习 · 计算机科学 2025-02-12 Ensela Mema , Ting Wang , Jaroslaw Knap

Tensor-based methods have been widely studied to attack inverse problems in hyperspectral imaging since a hyperspectral image (HSI) cube can be naturally represented as a third-order tensor, which can perfectly retain the spatial…

计算机视觉与模式识别 · 计算机科学 2022-01-05 Lianru Gao , Zhicheng Wang , Lina Zhuang , Haoyang Yu , Bing Zhang , Jocelyn Chanussot

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 unsupervised classification, Hidden Markov Models (HMM) are used to account for a neighborhood structure between observations. The emission distributions are often supposed to belong to some parametric family. In this paper, a…

This paper presents a nonlinear mixing model for hyperspectral image unmixing. The proposed model assumes that the pixel reflectances are post-nonlinear functions of unknown pure spectral components contaminated by an additive white…

统计方法学 · 统计学 2015-06-15 Yoann Altmann , Nicolas Dobigeon , Jean-Yves Tourneret

We consider the problem of learning a low-rank matrix, constrained to lie in a linear subspace, and introduce a novel factorization for modeling such matrices. A salient feature of the proposed factorization scheme is it decouples the…

机器学习 · 统计学 2018-06-18 Pratik Jawanpuria , Bamdev Mishra

Blind source separation is a common processing tool to analyse the constitution of pixels of hyperspectral images. Such methods usually suppose that pure pixel spectra (endmembers) are the same in all the image for each class of materials.…

统计方法学 · 统计学 2022-10-03 Charlotte Revel , Yannick Deville , Véronique Achard , Xavier Briottet

Hyperspectral unmixing involves separating a pixel as a weighted combination of its constituent endmembers and corresponding fractional abundances, with the current state of the art results achieved by neural models on benchmark datasets.…

机器学习 · 计算机科学 2021-10-29 Gurpreet Singh , Soumyajit Gupta , Clint Dawson

Cancer, with its inherent heterogeneity, is commonly categorized into distinct subtypes based on unique traits, cellular origins, and molecular markers specific to each type. However, current studies primarily rely on complete multi-omics…

机器学习 · 计算机科学 2024-11-26 Yingxuan Ren , Fengtao Ren , Bo Yang

We tackle the problem disentangling the latent space of an autoencoder in order to separate labelled attribute information from other characteristic information. This then allows us to change selected attributes while preserving other…

机器学习 · 计算机科学 2020-08-18 Xiao Li , Chenghua Lin , Ruizhe Li , Chaozheng Wang , Frank Guerin

In this paper, we address the issue of hyperspectral pan-sharpening, which consists in fusing a (low spatial resolution) hyperspectral image HX and a (high spatial resolution) panchromatic image P to obtain a high spatial resolution…

计算机视觉与模式识别 · 计算机科学 2014-05-13 Alexis Huck , François de Vieilleville , Pierre Weiss , Manuel Grizonnet

Intensity inhomogeneities in images constitute a considerable challenge in image segmentation. In this paper we propose a novel biconvex variational model to tackle this task. We combine a total variation approach for multi class…

数值分析 · 数学 2017-05-09 Jan Henrik Fitschen , Katharina Losch , Gabriele Steidl

In this paper, we propose a Two-Step Linear Mixing Model (2LMM) that bridges the gap between model complexity and computational tractability. The model achieves this by introducing two distinct scaling steps: an endmember scaling step…

图像与视频处理 · 电气工程与系统科学 2025-12-04 Xander Haijen , Bikram Koirala , Xuanwen Tao , Paul Scheunders

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…

计算机视觉与模式识别 · 计算机科学 2026-03-10 Yingkai Zhang , Tao Zhang , Jing Nie , Ying Fu

By removing irrelevant and redundant features, feature selection aims to find a good representation of the original features. With the prevalence of unlabeled data, unsupervised feature selection has been proven effective in alleviating the…

机器学习 · 计算机科学 2024-03-25 Ziyuan Lin , Deanna Needell

Nonnegative Matrix Factorization (NMF) is the problem of approximating a nonnegative matrix with the product of two low-rank nonnegative matrices and has been shown to be particularly useful in many applications, e.g., in text mining, image…

最优化与控制 · 数学 2012-08-13 Nicolas Gillis , François Glineur