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Lossy compression algorithms aim to compactly encode images in a way which enables to restore them with minimal error. We show that a key limitation of existing algorithms is that they rely on error measures that are extremely sensitive to…

Computer Vision and Pattern Recognition · Computer Science 2018-04-13 Tamar Rott Shaham , Tomer Michaeli

Satellites mapping the spatial variations of the gravitational or magnetic fields of the Earth or other planets ideally fly on polar orbits, uniformly covering the entire globe. Thus, potential fields on the sphere are usually expressed in…

Data Analysis, Statistics and Probability · Physics 2013-06-17 Frederik J. Simons , F. A. Dahlen

Earth observation from space is an important scientific and industrial activity that has applications in many sectors. The instruments employed are often large, complex, and expensive. In addition, they generate large amounts of data, which…

Signal Processing · Electrical Eng. & Systems 2025-08-15 Clément Thomas , Laurent Jacques , Marc Georges

The fundamental principle underlying compressed sensing is that a signal, which is sparse under some basis representation, can be recovered from a small number of linear measurements. However, prior knowledge of the sparsity basis is…

Information Theory · Computer Science 2010-04-29 Sivan Gleichman , Yonina C. Eldar

Snapshot compressed sensing (CS) refers to compressive imaging systems in which multiple frames are mapped into a single measurement frame. Each pixel in the acquired frame is a noisy linear mapping of the corresponding pixels in the frames…

Information Theory · Computer Science 2019-04-30 Shirin Jalali , Xin Yuan

Signal processing has played, and continues to play, a fundamental role in the evolution of modern localization technologies. Localization using spatial variations in the Earth's magnetic field is no exception. It relies on…

Signal Processing · Electrical Eng. & Systems 2026-05-19 Isaac Skog , Manon Kok , Christophe Prieur , Gustaf Hendeby

The interplay between large antenna apertures and high carrier frequencies in future wireless systems gives rise to near-field communications, where the curvature of spherical wavefronts renders traditional far-field beamforming models…

Signal Processing · Electrical Eng. & Systems 2025-12-02 Panagiotis Gavriilidis , George C. Alexandropoulos

Estimates of the photospheric magnetic, electric and plasma velocity fields are essential for studying the dynamics of the solar atmosphere, for example through the derivative quantities of Poynting and relative helicity flux and by using…

Solar and Stellar Astrophysics · Physics 2017-12-18 E. Lumme , J. Pomoell , E. K. J. Kilpua

Compressed sensing is triggering a major evolution in signal acquisition. It consists in sampling a sparse signal at low rate and later using computational power for its exact reconstruction, so that only the necessary information is…

Statistical Mechanics · Physics 2012-06-07 Florent Krzakala , Marc Mézard , François Sausset , Yifan Sun , Lenka Zdeborová

We present a comprehensive method for visualisation and quantification of the magnetic stray field of magnetic force microscopy (MFM) probes, applied to the particular case of custom-made multi-layered probes with controllable high/low…

In real-world, many problems can be formulated as the alignment between two geometric patterns. Previously, a great amount of research focus on the alignment of 2D or 3D patterns, especially in the field of computer vision. Recently, the…

Machine Learning · Computer Science 2018-11-20 Hu Ding , Mingquan Ye

We derive a compressive sampling method for acoustic field reconstruction using field measurements on a predefined spherical grid that has theoretically guaranteed relations between signal sparsity, measurement number, and reconstruction…

Signal Processing · Electrical Eng. & Systems 2023-07-19 Marc Andrew Valdez , Alex J. Yuffa , Michael B. Wakin

Modern scientific instruments produce vast amounts of data, which can overwhelm the processing ability of computer systems. Lossy compression of data is an intriguing solution, but comes with its own drawbacks, such as potential signal…

A high-accuracy calibration of inductive coil sensors based on Printed Circuit Board (PCB), commonly used in rotating coil field measurements of particle accelerator magnets, is presented. The amplitude and phase of signals with and without…

Accelerator Physics · Physics 2019-03-04 Joseph DiMarco , Giordana Severino , Pasquale Arpaia

The paper introduces a framework for the recoverability analysis in compressive sensing for imaging applications such as CI cameras, rapid MRI and coded apertures. This is done using the fact that the Spherical Section Property (SSP) of a…

Information Theory · Computer Science 2012-12-07 Mahdi S. Hosseini , Konstantinos N. Plataniotis

Compressed sensing (CS) is a sampling paradigm that allows to simultaneously measure and compress signals that are sparse or compressible in some domain. The choice of a sensing matrix that carries out the measurement has a defining impact…

Information Theory · Computer Science 2017-08-02 Anastasia Lavrenko , Florian Roemer , Giovanni Del Galdo , Reiner Thomae

We consider the problems of compressed sensing and optimal denoising for signals $\mathbf{x_0}\in\mathbb{R}^N$ that are monotone, i.e., $\mathbf{x_0}(i+1) \geq \mathbf{x_0}(i)$, and sparsely varying, i.e., $\mathbf{x_0}(i+1) >…

Statistics Theory · Mathematics 2017-01-03 Eftychios A. Pnevmatikakis

Sound field reproduction methods based on numerical optimization, which aim to minimize the error between synthesized and desired sound fields, are useful in many practical scenarios because of their flexibility in the array geometry of…

Audio and Speech Processing · Electrical Eng. & Systems 2021-11-23 Shoichi Koyama , Keisuke Kimura , Natsuki Ueno

Squeezing currently represents the leading strategy for quantum enhanced precision measurements of a single parameter in a variety of continuous- and discrete-variable settings and technological applications. However, many important…

Quantum Physics · Physics 2020-07-31 Manuel Gessner , Augusto Smerzi , Luca Pezzè

Modern compression algorithms exploit complex structures that are present in signals to describe them very efficiently. On the other hand, the field of compressed sensing is built upon the observation that "structured" signals can be…

Information Theory · Computer Science 2016-01-08 Farideh Ebrahim Rezagah , Shirin Jalali , Elza Erkip , H. Vincent Poor
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