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Compressed sensing is a technique for recovering an unknown sparse signal from a small number of linear measurements. When the measurement matrix is random, the number of measurements required for perfect recovery exhibits a phase…

Optimization and Control · Mathematics 2016-12-30 Mateo Díaz , Mauricio Junca , Felipe Rincón , Mauricio Velasco

Several emerging microscopy imaging methods rely on complex interactions between the incident light and the sample. These include interferometry, spectroscopy, and nonlinear optics. Reconstructing a sample from the measured scattered field…

Optics · Physics 2024-04-12 Ruijiao Sun , Rohith Reddy , David Mayerich

This paper reformulates and extends some recent analytical results concerning a new optical theorem and the associated physical bounds on absorption in lossy media. The analysis is valid for any linear scatterer (such as an antenna),…

Optics · Physics 2020-03-17 Sven Nordebo , Mats Gustafsson , Yevhen Ivanenko

Synthetic aperture sonar (SAS) reconstruction requires recovering both the spatial distribution of acoustic scatterers and their direction-dependent response. Time-domain backprojection is the most common 3D SAS reconstruction algorithm,…

Graphics · Computer Science 2025-09-16 Omkar Shailendra Vengurlekar , Adithya Pediredla , Suren Jayasuriya

This paper considers the problem of recovering a one or two dimensional discrete signal which is approximately sparse in its discrete gradient from an incomplete subset of its discrete Fourier coefficients which have been corrupted with…

Numerical Analysis · Mathematics 2015-06-10 Clarice Poon

Inspired by significant real-life applications, in particular, sparse phase retrieval and sparse pulsation frequency detection in Asteroseismology, we investigate a general framework for compressed sensing, where the measurements are…

Numerical Analysis · Mathematics 2017-09-04 Martin Ehler , Massimo Fornasier , Juliane Sigl

We introduce a practical digital holographic method capable of imaging through a diffusive or scattering medium. The method relies on statistical averaging from a rotating ground glass diffuser to negate the adverse effects caused by…

We obtain explicit expressions for the correlation functions of transmission and reflection coefficients of coherent electronic waves propagating through a disordered quasi-one-dimensional medium with purely elastic diffusive scattering in…

Condensed Matter · Physics 2009-10-22 A. M. S. Macedo

We study the onset of the propagation failure of wave fronts in systems of coupled cells. We introduce a new method to analyze the scaling of the critical external field at which fronts cease to propagate, as a function of intercellular…

Soft Condensed Matter · Physics 2009-10-31 Konstantin Kladko , Igor Mitkov , A. R. Bishop

In many ultrasonic imaging systems, data acquisition and image formation are performed on separate computing devices. Data transmission is becoming a bottleneck, thus, efficient data compression is essential. Compression rates can be…

Image and Video Processing · Electrical Eng. & Systems 2021-09-02 Georgios Pilikos , Lars Horchens , Kees Joost Batenburg , Tristan van Leeuwen , Felix Lucka

In this paper an approach for decreasing the computational effort required for the spectral simulations of the water waves is introduced. Signals with majority of the components zero, are known as the sparse signals. Like majority of the…

Computational Physics · Physics 2015-12-22 Cihan Bayindir

Inverse medium scattering problems arise in many applications, but in practice, the measurement data are often restricted to a limited aperture by physical or experimental constraints. Classical sampling methods, such as MUSIC and the…

Numerical Analysis · Mathematics 2025-09-19 Fuqun Han , Kazufumi Ito

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

In this paper, we consider a second-order scalar auxiliary variable (SAV) Fourier spectral method to solve the nonlinear fractional generalized wave equation. Unconditional energy conservation or dissipation properties of the fully discrete…

Numerical Analysis · Mathematics 2021-05-06 Nan Wang , Meng Li , Chengming Huang

We present a method based on the scattering $\mathbb{T}$ operator, and conservation of net real and reactive power, to provide physical bounds on any electromagnetic design objective that can be framed as a net radiative emission,…

Optics · Physics 2020-08-12 Sean Molesky , Pengning Chao , Weiliang Jin , Alejandro W. Rodriguez

We develop a multiple scattering theory for the absorption of waves in disordered media. Based on a general expression of the average absorbed power, we discuss the possibility to maximize absorption by using structural correlations of…

Optics · Physics 2020-05-20 Alexandra Sheremet , Romain Pierrat , Rémi Carminati

Out-of-distribution (OOD) detection is a critical task for reliable machine learning. Recent advances in representation learning give rise to distance-based OOD detection, where testing samples are detected as OOD if they are relatively far…

Computer Vision and Pattern Recognition · Computer Science 2023-04-18 Yifei Ming , Yiyou Sun , Ousmane Dia , Yixuan Li

We address the problem of nonparametric estimation of characteristics for stationary and ergodic time series. We consider finite-alphabet time series and real-valued ones and the following four problems: i) estimation of the (limiting)…

Information Theory · Computer Science 2007-11-01 Boris Ryabko

Compressive sensing aims to recover a high-dimensional sparse signal from a relatively small number of measurements. In this paper, a novel design of the measurement matrix is proposed. The design is inspired by the construction of…

Information Theory · Computer Science 2016-03-22 Xu Chen , Dongning Guo

Extreme sensor sparsity makes full-field reconstruction a fundamentally ill-posed problem in scientific sensing,where the goal is to infer physical fields from sparse measurements.In this regime,the posterior is severely underconstrained…

Machine Learning · Computer Science 2026-05-27 Letian Yi , Tingpeng Zhang , Mingyuan Zhou , Guannan Wang , Quanke Su , Zhilu Lai