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We assume a spatial blind source separation model in which the observed multivariate spatial data is a linear mixture of latent spatially uncorrelated Gaussian random fields containing a number of pure white noise components. We propose a…

Statistics Theory · Mathematics 2024-04-12 Christoph Muehlmann , François Bachoc , Klaus Nordhausen , Mengxi Yi

The increasing adoption of measurement units in electrical power distribution grids has enabled the deployment of data-driven and measurement-based control schemes. Such schemes rely on measurement-based estimated models, where the models…

Systems and Control · Electrical Eng. & Systems 2023-12-18 Robin Henry , Rahul Gupta

This paper considers the problem of lossy compression for the computation of a function of two correlated sources, both of which are observed at the encoder. Due to presence of observation costs, the encoder is allowed to observe only…

Information Theory · Computer Science 2013-07-22 Xi Liu , Osvaldo Simeone , Elza Erkip

Remote sensing of soil moisture and vegetation water content from space often requires underdetermined inversion of a zeroth-order approximation of the forward radiative transfer equation in L-band---known as the $\tau$-$\omega$ model. This…

Atmospheric and Oceanic Physics · Physics 2018-08-29 Ardeshir Ebtehaj

Measurement-rich power distribution networks may enable distribution system operators (DSOs) to adopt model-less and measurement-based monitoring and control of distributed energy resources (DERs) for mitigating grid issues such as…

Systems and Control · Electrical Eng. & Systems 2022-08-03 Rahul Gupta , Fabrizio Sossan , Mario Paolone

We describe the method used to detect sources for the Herschel-ATLAS survey. The method is to filter the individual bands using a matched filter, based on the point-spread function (PSF) and confusion noise, and then form the inverse…

Instrumentation and Methods for Astrophysics · Physics 2020-02-26 S. J. Maddox , L. Dunne

Digital correlated double sampling (DCDS), a readout technique for charge-coupled devices (CCD), is gaining popularity in astronomical applications. By using an oversampling ADC and a digital filter, a DCDS system can achieve a better…

Instrumentation and Methods for Astrophysics · Physics 2015-11-23 Cristobal Alessandri , Angel Abusleme , Dani Guzman , Ignacio Passalacqua , Enrique Alvarez-Fontecilla , Marcelo Guarini

Lossy transmission over a relay channel in which the relay has access to correlated side information is considered. First, a joint source-channel decode-and-forward scheme is proposed for general discrete memoryless sources and channels.…

Information Theory · Computer Science 2016-11-17 Deniz Gunduz , Elza Erkip , Andrea J. Goldsmith , H. Vincent Poor

Limited-Angle Computed Tomography (LACT) is a challenging inverse problem where missing angular projections lead to incomplete sinograms and severe artifacts in the reconstructed images. While recent learning-based methods have demonstrated…

Image and Video Processing · Electrical Eng. & Systems 2025-07-09 Jiaqi Guo , Santiago López-Tapia

The use of simultaneous sources in geophysical inverse problems has revolutionized the ability to deal with large scale data sets that are obtained from multiple source experiments. However, the technique breaks when the data has…

Computational Engineering, Finance, and Science · Computer Science 2014-04-22 Eldad Haber , Mathias Chung

We consider the problem of direction of arrival (DOA) estimation using a newly proposed structure of non-uniform linear arrays, referred to as co-prime arrays, in this paper. By exploiting the second order statistical information of the…

Information Theory · Computer Science 2015-06-18 Zhao Tan , Yonina C. Eldar , Arye Nehorai

We propose a method to reconstruct the electrical current density inside a conducting medium from acoustically-modulated boundary measurements of the electric potential. We show that the current can be uniquely reconstructed with Lipschitz…

Analysis of PDEs · Mathematics 2021-03-23 Wei Li , John C. Schotland , Yang Yang , Yimin Zhong

This paper investigates the inverse random source problem for elastic waves in three dimensions, where the source is assumed to be driven by an additive white noise. A novel computational method is proposed for reconstructing the variance…

Numerical Analysis · Mathematics 2025-11-04 Hao Gu , Tianjiao Wang , Xiang Xu , Yue Zhao

The composite current source (CCS) model has been adopted as an advanced timing model that represents the current behavior of cells for improved accuracy and better capability than traditional non-linear delay models (NLDM) to model complex…

Machine Learning · Computer Science 2025-05-26 Tao Bai , Junzhuo Zhou , Zeyuan Deng , Ting-Jung Lin , Wei Xing , Peng Cao , Lei He

Reconstructing the unknown spectrum of a given X-ray source is a common problem in a wide range of X-ray imaging tasks. For high-energy sources, transmission measurements are mostly used to recover the X-ray spectrum, as a solution to an…

Applied Physics · Physics 2023-07-13 Arthur Walker , Alexandre Friou , Kevin Ginsburger

Density level sets can be estimated using plug-in methods, excess mass algorithms or a hybrid of the two previous methodologies. The plug-in algorithms are based on replacing the unknown density by some nonparametric estimator, usually the…

Statistics Theory · Mathematics 2016-11-26 A. Rodríguez-Casal , P. Saavedra-Nieves

Similar to the obstacle or medium scattering problems, an important property of the phaseless far field patterns for source scattering problems is the translation invariance. Thus it is impossible to reconstruct the location of the…

Analysis of PDEs · Mathematics 2018-08-08 Xia Ji , Xiaodong Liu , Bo Zhang

Sparse-view computed tomography (CT) is known as a widely used approach to reduce radiation dose while accelerating imaging through lowered projection views and correlated calculations. However, its severe imaging noise and streaking…

Image and Video Processing · Electrical Eng. & Systems 2021-01-20 Yitong Liu , Ken Deng , Chang Sun , Hongwen Yang

Due to the density inconsistency and distribution difference between cross-source point clouds, previous methods fail in cross-source point cloud registration. We propose a density-robust feature extraction and matching scheme to achieve…

Computer Vision and Pattern Recognition · Computer Science 2024-12-30 Guiyu Zhao , Zhentao Guo , Zewen Du , Hongbin Ma

Blind source separation (BSS) is a very popular technique to analyze multichannel data. In this context, the data are modeled as the linear combination of sources to be retrieved. For that purpose, standard BSS methods all rely on some…

Applications · Statistics 2015-06-23 Jerome Bobin , Jeremy Rapin , Anthony Larue , Jean-Luc Starck
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