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The advent of large aperture arrays, such as the ones currently under construction for the SKA project, allows for observing the Universe in the radio-spectrum at unprecedented resolution and sensitivity. To process the enormous amounts of…

Instrumentation and Methods for Astrophysics · Physics 2025-07-31 S. Wang , S. Mignot , S. Prunet , L. Di Mascolo , M. Spinelli , A. Ferrari

Many imaging technologies rely on tomographic reconstruction, which requires solving a multidimensional inverse problem given a finite number of projections. Backprojection is a popular class of algorithm for tomographic reconstruction,…

Image and Video Processing · Electrical Eng. & Systems 2020-06-03 Xueqing Liu , Paul Sajda

We analyzed the performance of a biologically inspired algorithm called the Corrected Projections Algorithm (CPA) when a sparseness constraint is required to unambiguously reconstruct an observed signal using atoms from an overcomplete…

Numerical Analysis · Computer Science 2017-03-24 Gonzalo H Otazu

Four Stokes parameters (1852) define the polarisation state of light. Measured changes of the Stokes vector of light traversing an inhomogeneous sample are linked to the local anisotropies of absorption and refraction and are harnessed over…

Conventional spectrometer and polarimeter systems rely on bulky optics, fundamentally limiting compact integration and hindering multi-dimensional optical sensing capabilities. Here, we propose a spectropolarimeter enabled by…

Optics · Physics 2026-04-13 Jumin Qiu , Tingting Liu , Chenxuan Xiang , Tianbao Yu , Qiegen Liu , Shuyuan Xiao

In this paper, we present a practical algorithm based on sparsity regularization to effectively solve nonlinear dynamic inverse problems that are encountered in subsurface model calibration. We use an iteratively reweighted algorithm that…

Numerical Analysis · Computer Science 2009-11-13 Lianlin Li , B. Jafarpour

Thermal infrared (TIR) target tracking methods often adopt the correlation filter (CF) framework due to its computational efficiency. However, the low resolution of TIR images, along with tracking interference, significantly limits the…

Computer Vision and Pattern Recognition · Computer Science 2025-04-22 Shang Zhang , Xiaobo Ding , Huanbin Zhang , Ruoyan Xiong , Yue Zhang

In this paper we present a differential approach to photo-polarimetric shape estimation. We propose several alternative differential constraints based on polarisation and photometric shading information and show how to express them in a…

Computer Vision and Pattern Recognition · Computer Science 2017-08-28 Silvia Tozza , William A. P. Smith , Dizhong Zhu , Ravi Ramamoorthi , Edwin R. Hancock

One of the difficulties with performing polarization analysis is that the mean polarization fraction of sub-divided data sets is larger than the polarization fraction for the integrated measurement. The resulting bias is one of the…

Instrumentation and Methods for Astrophysics · Physics 2018-07-18 Victor Mikhalev

Regularized variants of Principal Components Analysis, especially Sparse PCA and Functional PCA, are among the most useful tools for the analysis of complex high-dimensional data. Many examples of massive data, have both sparse and…

Machine Learning · Statistics 2019-08-21 Genevera I. Allen , Michael Weylandt

Deep neural networks often suffer from poor generalization due to complex and non-convex loss landscapes. Sharpness-Aware Minimization (SAM) is a popular solution that smooths the loss landscape by minimizing the maximized change of…

Artificial Intelligence · Computer Science 2023-07-03 Peng Mi , Li Shen , Tianhe Ren , Yiyi Zhou , Tianshuo Xu , Xiaoshuai Sun , Tongliang Liu , Rongrong Ji , Dacheng Tao

In this paper, we introduce an iterative speckle filtering method for polarimetric SAR (PolSAR) images based on the bilateral filter. To locally adapt to the spatial structure of images, this filter relies on pixel similarities in both…

Computer Vision and Pattern Recognition · Computer Science 2013-11-04 Olivier D'Hondt , Stéphane Guillaso , Olaf Hellwich

Optical imaging of the intensity, phase and polarization distributions of optical field is fundamental to numerous applications. Traditional methods rely on bulky optical components and require multiple measurements. Recently,…

Optics · Physics 2024-08-19 Yanjun Bao , Baojun Li

Demixing problems in many areas such as hyperspectral imaging and differential optical absorption spectroscopy (DOAS) often require finding sparse nonnegative linear combinations of dictionary elements that match observed data. We show how…

Machine Learning · Statistics 2013-01-04 Ernie Esser , Yifei Lou , Jack Xin

Scanning electron microscopy with polarization analysis is a powerful lab-based magnetic imaging technique offering parallel imaging of multiple magnetization components and a very high spatial resolution. However, one drawback of the…

Instrumentation and Detectors · Physics 2018-08-22 Daniel Schönke , Andreas Oelsner , Pascal Krautscheid , Robert M. Reeve , Mathias Kläui

$L_1$ regularization is used for finding sparse solutions to an underdetermined linear system. As sparse signals are widely expected in remote sensing, this type of regularization scheme and its extensions have been widely employed in many…

Image and Video Processing · Electrical Eng. & Systems 2018-05-07 Yilei Shi , Xiao Xiang Zhu , Wotao Yin , Richard Bamler

A four-dimensional statistical description of electromagnetic radiation is developed and applied to the analysis of radio pulsar polarization. The new formalism provides an elementary statistical explanation of the modal broadening…

Astrophysics · Physics 2017-08-03 W. van Straten

Recovering jointly sparse signals in the multiple measurement vectors (MMV) setting is a fundamental problem in machine learning, but traditional methods often require careful parameter tuning or prior knowledge of the sparsity of the…

Machine Learning · Computer Science 2026-02-02 Lakshmi Jayalal , Sheetal Kalyani

For the linear inverse problem with sparsity constraints, the $l_0$ regularized problem is NP-hard, and existing approaches either utilize greedy algorithms to find almost-optimal solutions or to approximate the $l_0$ regularization with…

Machine Learning · Computer Science 2024-02-14 Qinghua Tao , Xiangming Xi , Jun Xu , Johan A. K. Suykens