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Sparse Blind Source Separation (sparse BSS) is a key method to analyze multichannel data in fields ranging from medical imaging to astrophysics. However, since it relies on seeking the solution of a non-convex penalized matrix factorization…

Machine Learning · Computer Science 2018-12-18 Christophe Kervazo , Jerome Bobin , Cecile Chenot

In this paper, we present a Bayesian approach for spectral unmixing of multispectral Lidar (MSL) data associated with surface reflection from targeted surfaces composed of several known materials. The problem addressed is the estimation of…

Methodology · Statistics 2015-10-28 Yoann Altmann , Andrew Wallace , Steve McLaughlin

Unsupervised estimation of the dimensionality of hyperspectral microspectroscopy datasets containing pure and mixed spectral features, and extraction of their representative endmember spectra, remains a challenge in biochemical data mining.…

Signal separation and extraction are important tasks for devices recording audio signals in real environments which, aside from the desired sources, often contain several interfering sources such as background noise or concurrent speakers.…

Signal Processing · Electrical Eng. & Systems 2020-07-15 Andreas Brendel , Thomas Haubner , Walter Kellermann

Blind single-channel source separation is a long standing signal processing challenge. Many methods were proposed to solve this task utilizing multiple signal priors such as low rank, sparsity, temporal continuity etc. The recent advance of…

Signal Processing · Electrical Eng. & Systems 2019-05-17 Yedid Hoshen

The development of signal unmixing algorithms is essential for leveraging multimodal datasets acquired through a wide array of scientific imaging technologies, including hyperspectral or time-resolved acquisitions. In experimental physics,…

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…

Computer Vision and Pattern Recognition · Computer Science 2016-11-03 Qi Wei , Jose Bioucas-Dias , Nicolas Dobigeon , Jean-Yves Tourneret , Marcus Chen , Simon Godsill

Hyperspectral (HS) unmixing is the process of decomposing an HS image into material-specific spectra (endmembers) and their spatial distributions (abundance maps). Existing unmixing methods have two limitations with respect to noise…

Image and Video Processing · Electrical Eng. & Systems 2024-03-20 Kazuki Naganuma , Shunsuke Ono

Regional data analysis is concerned with the analysis and modeling of measurements that are spatially separated by specifically accounting for typical features of such data. Namely, measurements in close proximity tend to be more similar…

Methodology · Statistics 2023-08-15 Christoph Muehlmann , François Bachoc , Klaus Nordhausen

Blind source separation (BSS) aims at recovering signals from mixtures. This problem has been extensively studied in cases where the mixtures are contaminated with additive Gaussian noise. However, it is not well suited to describe data…

Machine Learning · Statistics 2018-12-12 I. El Hamzaoui , J. Bobin

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…

Image and Video Processing · Electrical Eng. & Systems 2021-02-12 L. C. Ayres , S. J. M. de Almeida , J. C. M. Bermudez , R. A. Borsoi

Partitioning an image into superpixels based on the similarity of pixels with respect to features such as colour or spatial location can significantly reduce data complexity and improve subsequent image processing tasks. Initial algorithms…

Computer Vision and Pattern Recognition · Computer Science 2022-11-30 Jakob Geusen , Gustav Bredell , Tianfei Zhou , Ender Konukoglu

This work concerns a detailed review of data analysis methods used for remotely sensed images of large areas of the Earth and of other solid astronomical objects. In detail, it focuses on the problem of inferring the materials that cover…

Instrumentation and Methods for Astrophysics · Physics 2025-07-22 Alfredo Gimenez Zapiola , Andrea Boselli , Alessandra Menafoglio , Simone Vantini

The direct detection of exoplanets with high-contrast instruments can be boosted with high spectral resolution. For integral field spectrographs yielding hyperspectral data, this means that the field of view consists of diffracted starlight…

Instrumentation and Methods for Astrophysics · Physics 2021-06-09 Julien Rameau , Jocelyn Chanussot , Alexis Carlotti , Mickael Bonnefoy , Philippe Delorme

Pansharpening aims at fusing a panchromatic image with a multispectral one, to generate an image with the high spatial resolution of the former and the high spectral resolution of the latter. In the last decade, many algorithms have been…

With the development of numbers of high resolution data acquisition systems and the global requirement to lower the energy consumption, the development of efficient sensing techniques becomes critical. Recently, Compressed Sampling (CS)…

Information Theory · Computer Science 2015-06-11 Mohammad Golbabaee , Simon Arberet , Pierre Vandergheynst

Bayesian predictive synthesis (BPS) provides a method for combining multiple predictive distributions based on agent/expert opinion analysis theory and encompasses a range of existing density forecast pooling methods. The key ingredient in…

Econometrics · Economics 2023-11-22 Tony Chernis , Niko Hauzenberger , Florian Huber , Gary Koop , James Mitchell

Hyperspectral images are data cubes with two spatial dimensions and a third spectral dimension, providing a spectrum for each pixel, and thus allow the mapping of extended sources' physical properties. In this article, we present the…

Instrumentation and Methods for Astrophysics · Physics 2024-06-19 Julia Lascar , Jérôme Bobin , Fabio Acero

Hyperspectral images contain mixed pixels due to low spatial resolution of hyperspectral sensors. Mixed pixels are pixels containing more than one distinct material called endmembers. The presence percentages of endmembers in mixed pixels…

Computer Vision and Pattern Recognition · Computer Science 2014-11-04 Roozbeh Rajabi , Hassan Ghassemian

A probabilistic technique for the joint estimation of background and sources with the aim of detecting faint and extended celestial objects is described. Bayesian probability theory is applied to gain insight into the coexistence of…

Instrumentation and Methods for Astrophysics · Physics 2015-05-13 F. Guglielmetti , R. Fischer , V. Dose