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The maximum absolute correlation between regressors, which is called mutual coherence, plays an essential role in sparse estimation. A regressor matrix whose columns are highly correlated may result from optimal input design, since there is…

Systems and Control · Electrical Eng. & Systems 2024-10-11 Javad Parsa , Cristian R. Rojas , Håkan Hjalmarsson

Wave propagation in multilayered media with high material contrasts poses significant numerical challenges, as large variations in wavenumbers lead to strong reflections and complex transmission of the incoming wave field. To address these…

Numerical Analysis · Mathematics 2026-02-24 Camille Carvalho , Stéphanie Chaillat , Elsie Cortes , Chrysoula Tsogka

In this work the primary objective is to maximize the precision of the maximum likelihood estimate in a linear regression model through the efficient design of the experiment. One common measure of precision is the unconditional mean square…

Methodology · Statistics 2022-09-27 Adam Lane

Precision timing of highly stable milli-second pulsars is a promising technique for the detection of very low frequency sources of gravitational waves. In any single pulsar, a stochastic gravitational wave signal appears as an additional…

General Relativity and Quantum Cosmology · Physics 2016-06-01 Neil J. Cornish , Laura M. Sampson

Quantum systems used for metrology can offer enhanced precision over their classical counterparts. The design of quantum sensors can be optimized by maximizing the quantum Fisher information (QFI), which characterizes the precision of…

Quantum Physics · Physics 2025-08-26 George Mihailescu , Anthony Kiely , Andrew K. Mitchell

Many advances in reflective metasurfaces have been made during the last few years, implementing efficient manipulations of wavefronts, especially for plane waves. Despite numerous solutions that have been developed throughout the years, a…

Optics · Physics 2021-12-22 Hamidreza Taghvaee , Fu Liu , Ana Díaz-Rubio , Sergei Tretyakov

Sensing and manipulating targets hidden under scattering media are universal problems that take place in applications ranging from deep-tissue optical imaging to laser surgery. A major issue in these applications is the shallow light…

This paper contributes a novel learning-based method for aggressive task-driven compression of depth images and their encoding as images tailored to collision prediction for robotic systems. A novel 3D image processing methodology is…

Computer Vision and Pattern Recognition · Computer Science 2023-09-12 Mihir Kulkarni , Kostas Alexis

Physics experiments produce enormous amount of raw data, counted in petabytes per day. Hence, there is large effort to reduce this amount, mainly by using some filters. The situation can be improved by additionally applying some data…

Information Theory · Computer Science 2015-11-04 Jarek Duda , Grzegorz Korcyl

This paper explores as didactically as possible the fundamental principles of both classical and quantum metrology, focusing on the Cram\'er-Rao Bound and how it defines the maximum precision in parameter estimation, taking into account…

Quantum Physics · Physics 2024-12-13 Leonardo A. M. Souza

Resolving the separation between two incoherent optical sources with high precision is of great significance for fluorescence imaging and astronomical observations. In this paper, we focus on a more general scenario where two sources have…

Quantum Physics · Physics 2024-07-08 Jian-Dong Zhang , Yiwen Fu , Lili Hou , Shuai Wang

The performance of future observatories such as the Extremely Large Telescope is mainly limited by atmospheric turbulence and structural vibrations of the optical assembly. To further enhance the mitigation performance of adaptive optics,…

Instrumentation and Methods for Astrophysics · Physics 2025-09-17 Pascal Jaufmann , Aaron Buck , Marco Zaiser , Jörg-Uwe Pott , Oliver Sawodny

We consider the estimation and inference of graphical models that characterize the dependency structure of high-dimensional tensor-valued data. To facilitate the estimation of the precision matrix corresponding to each way of the tensor, we…

Machine Learning · Statistics 2019-02-27 Xiang Lyu , Will Wei Sun , Zhaoran Wang , Han Liu , Jian Yang , Guang Cheng

Accurate cascaded channel state information is pivotal for extremely large-scale intelligent reflecting surfaces (XL-IRS) in next-generation wireless networks. However, the large XL-IRS aperture induces spherical wavefront propagation due…

Signal Processing · Electrical Eng. & Systems 2026-02-17 Wenzhou Cao , Yashuai Cao , Tiejun Lv , Mugen Peng

Contrast maximization (CMax) techniques are widely used in event-based vision systems to estimate the motion parameters of the camera and generate high-contrast images. However, these techniques are noise-intolerance and suffer from the…

Computer Vision and Pattern Recognition · Computer Science 2023-05-04 Sami Arja , Alexandre Marcireau , Richard L. Balthazor , Matthew G. McHarg , Saeed Afshar , Gregory Cohen

Scattering has usually be considered as detrimental for optical focusing or imaging. Recently, more and more research has shown that strongly scattering materials can be utilized to focus coherent light by controlling or shaping the…

Optics · Physics 2017-05-24 Yanqi Qiao , Xianfeng Chen , Yajun Peng , Yuanlin Zheng

Rapid growth in the field of quantitative digital image analysis is paving the way for researchers to make precise measurements about objects in an image. To compute quantities from the image such as the density of compressed materials or…

Computer Vision and Pattern Recognition · Computer Science 2017-07-31 Marylesa Howard , Margaret C. Hock , B. T. Meehan , Leora Dresselhaus-Cooper

Dynamic tensor data are becoming prevalent in numerous applications. Existing tensor clustering methods either fail to account for the dynamic nature of the data, or are inapplicable to a general-order tensor. Also there is often a gap…

Machine Learning · Statistics 2018-09-17 Will Wei Sun , Lexin Li

We establish a simple method to assess the quantum Fisher information required for resolving two incoherent point sources with an imaging system. The resulting Cram\'er-Rao bound shows that the standard Rayleigh limit can be surpassed by…

Quantum Physics · Physics 2016-06-28 Martin Paur , Bohumil Stoklasa , Zdenek Hradil , Luis L. Sanchez-Soto , Jaroslav Rehacek

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…

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