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In this paper, we propose a new fast and robust recursive algorithm for near-separable nonnegative matrix factorization, a particular nonnegative blind source separation problem. This algorithm, which we refer to as the successive…

机器学习 · 统计学 2014-07-01 Nicolas Gillis

In this work, we consider the problem of blind source separation (BSS) by departing from the usual linear model and focusing on the linear-quadratic (LQ) model. We propose two provably robust and computationally tractable algorithms to…

信号处理 · 电气工程与系统科学 2021-12-20 Christophe Kervazo , Nicolas Gillis , Nicolas Dobigeon

In this paper, we propose a parallel shooting algorithm for solving nonlinear model predictive control problems using sequential quadratic programming. This algorithm is built on a two-phase approach where we first test and assess…

系统与控制 · 电气工程与系统科学 2023-07-21 P. C. N. Verheijen , M. Haghi , M. Lazar , D. Goswami

In this paper, we present efficient solutions for the nonlinear program (NLP) associated with nonlinear model predictive control (NMPC) by leveraging the linear parameter-varying (LPV) embedding of nonlinear models and sequential quadratic…

最优化与控制 · 数学 2025-02-19 Dimitrios S. Karachalios , Hossam S. Abbas

Spectral variability in hyperspectral images can result from factors including environmental, illumination, atmospheric and temporal changes. Its occurrence may lead to the propagation of significant estimation errors in the unmixing…

计算机视觉与模式识别 · 计算机科学 2020-01-23 Ricardo Augusto Borsoi , Tales Imbiriba , José Carlos Moreira Bermudez

The Sequential Linear Quadratic (SLQ) algorithm is a continuous-time variant of the well-known Differential Dynamic Programming (DDP) technique with a Gauss-Newton Hessian approximation. This family of methods has gained popularity in the…

机器人学 · 计算机科学 2021-03-29 Jean-Pierre Sleiman , Farbod Farshidian , Marco Hutter

Spectral unmixing (SU) is a technique to characterize mixed pixels in hyperspectral images measured by remote sensors. Most of the spectral unmixing algorithms are developed using the linear mixing models. To estimate endmembers and…

计算机视觉与模式识别 · 计算机科学 2019-02-21 Sara Khoshsokhan , Roozbeh Rajabi , Hadi Zayyani

Incorporating spatial information into hyperspectral unmixing procedures has been shown to have positive effects, due to the inherent spatial-spectral duality in hyperspectral scenes. Current research works that consider spatial information…

机器学习 · 统计学 2013-11-01 Jie Chen , Cédric Richard , Alfred O. Hero

This paper presents a fast spectral unmixing algorithm based on Dykstra's alternating projection. The proposed algorithm formulates the fully constrained least squares optimization problem associated with the spectral unmixing task as an…

计算机视觉与模式识别 · 计算机科学 2015-05-08 Qi Wei , Jose Bioucas-Dias , Nicolas Dobigeon , Jean-Yves Tourneret

This paper describes a new algorithm for hyperspectral image unmixing. Most of the unmixing algorithms proposed in the literature do not take into account the possible spatial correlations between the pixels. In this work, a Bayesian model…

统计方法学 · 统计学 2012-09-05 Olivier Eches , Nicolas Dobigeon , Jean-Yves Tourneret

When considering the problem of unmixing hyperspectral images, most of the literature in the geoscience and image processing areas relies on the widely used linear mixing model (LMM). However, the LMM may be not valid and other nonlinear…

数据分析、统计与概率 · 物理学 2015-06-15 Nicolas Dobigeon , Jean-Yves Tourneret , Cédric Richard , José C. M. Bermudez , Stephen McLaughlin , Alfred O. Hero

In the community of remote sensing, nonlinear mixing models have recently received particular attention in hyperspectral image processing. In this paper, we present a novel nonlinear spectral unmixing method following the recent multilinear…

计算机视觉与模式识别 · 计算机科学 2017-10-11 Qi Wei , Marcus Chen , Jean-Yves Tourneret , Simon Godsill

In this paper, a class of general nonlinear programming problems with inequality and equality constraints is discussed. Firstly, the original problem is transformed into an associated simpler equivalent problem with only inequality…

最优化与控制 · 数学 2013-07-24 Chuan-Hao Guo , Yan-Qin Bai , Jin-Bao Jian

Linear spectral unmixing under nonnegativity and sum-to-one constraints is a convex optimization problem for which many algorithms were proposed. In practice, especially for supervised unmixing (i.e., with a large dictionary), solutions…

信号处理 · 电气工程与系统科学 2025-12-19 Nils Foix-Colonier , Sébastien Bourguignon

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

Nonlinear hyperspectral unmixing has recently received considerable attention, as linear mixture models do not lead to an acceptable resolution in some problems. In fact, most nonlinear unmixing methods are designed by assuming specific…

图像与视频处理 · 电气工程与系统科学 2024-02-07 Saeid Mehrdad , Seyed AmirHossein Janani

This paper presents two novel hyperspectral mixture models and associated unmixing algorithms. The two models assume a linear mixing model corrupted by an additive term whose expression can be adapted to account for multiple scattering…

Due to the large footprint of pixels in remote sensing imagery, hyperspectral unmixing (HU) has become an important and necessary procedure in hyperspectral image analysis. Traditional HU methods rely on a prior spectral mixing model,…

计算机视觉与模式识别 · 计算机科学 2026-04-02 Maofeng Tang , Hairong Qi

In many applications, it makes sense to solve the least square problems with nonnegative constraints. In this article, we present a new multiplicative iteration that monotonically decreases the value of the nonnegative quadratic programming…

数值分析 · 数学 2014-06-05 Xiao Xiao , Donghui Chen

This paper presents a multi-band image fusion algorithm based on unsupervised spectral unmixing for combining a high-spatial low-spectral resolution image and a low-spatial high-spectral resolution image. The widely used linear observation…

计算机视觉与模式识别 · 计算机科学 2016-11-03 Qi Wei , Jose Bioucas-Dias , Nicolas Dobigeon , Jean-Yves Tourneret , Marcus Chen , Simon Godsill
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