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In tracking of time-varying low-rank models of time-varying matrices, we present a method robust to both uniformly-distributed measurement noise and arbitrarily-distributed ``sparse'' noise. In theory, we bound the tracking error. In…

最优化与控制 · 数学 2020-02-05 Albert Akhriev , Jakub Marecek , Andrea Simonetto

Spiking Neural Networks (SNNs) promise efficient and dynamic spatio-temporal data processing. This paper reformulates a significant challenge in radio astronomy, Radio Frequency Interference (RFI) detection, as a time-series segmentation…

神经与进化计算 · 计算机科学 2026-01-23 Nicholas J. Pritchard , Andreas Wicenec , Mohammed Bennamoun , Richard Dodson

We demonstrate experimentally and theoretically a controllable way of shifting the frequency of an optical pulse by using a combination of spectral hole burning, slow light effect, and linear Stark effect in a rare-earth-ion doped crystal.…

量子物理 · 物理学 2016-04-27 Qian Li , Yupan Bao , Axel Thuresson , Adam N. Nilsson , Lars Rippe , Stefan Kröll

Material segmentation is a complex task, particularly when dealing with aerial data in poor lighting and atmospheric conditions. To address this, hyperspectral data from specialized cameras can be very useful in addition to RGB images.…

计算机视觉与模式识别 · 计算机科学 2024-10-22 Chandrajit Bajaj , Minh Nguyen , Shubham Bhardwaj

Non-convex constraints have recently proven a valuable tool in many optimisation problems. In particular sparsity constraints have had a significant impact on sampling theory, where they are used in Compressed Sensing and allow structured…

信息论 · 计算机科学 2012-05-09 Thomas Blumensath

The success of non-linear optics relies largely on pulse-to-pulse consistency. In contrast, covariance based techniques used in photoionization electron spectroscopy and mass spectrometry have shown that wealth of information can be…

When a signal is emitted from a source, recorded by an array of transducers, time reversed and re-emitted into the medium, it will refocus approximately on the source location. We analyze the refocusing resolution in a high frequency,…

无序系统与神经网络 · 物理学 2007-05-23 George Papanicolaou , Leonid Ryzhik , Knut Solna

We extend the recent sparse Fourier transform algorithm of (Lawlor, Christlieb, and Wang, 2013) to the noisy setting, in which a signal of bandwidth N is given as a superposition of k << N frequencies and additive noise. We present two such…

数值分析 · 数学 2013-09-03 Andrew Christlieb , David Lawlor , Yang Wang

The paper observes the Hermite and the Fourier Transform domains in terms of Frequency Hopping Spread Spectrum signals sparsification. Sparse signals can be recovered from a reduced set of samples by using the Compressive Sensing approach.…

信号处理 · 电气工程与系统科学 2018-02-15 Valentina Konatar , Maja Vesovic

We consider an inverse scattering problem for time-harmonic acoustic or electromagnetic waves. The goal is to localize several small penetrable objects embedded inside an otherwise homogeneous background medium from observations of far…

数值分析 · 数学 2017-04-05 Roland Griesmaier , Christian Schmiedecke

We present a time-domain method to detect and correct spectral alterations of signals by employing statistical characterization of waveforms and a pattern-recognition procedure using simple Artificial Neural Networks. The proposed strategy…

信号处理 · 电气工程与系统科学 2022-12-29 Guillermo H. Bustos , Héctor H. Segnorile

Optical systems which measure independent random projections of a scene according to compressed sensing (CS) theory face a myriad of practical challenges related to the size of the physical platform, photon efficiency, the need for high…

应用统计 · 统计学 2015-03-19 Zachary T. Harmany , Roummel F. Marcia , Rebecca M. Willett

This paper proposes a compressed sensing (CS) framework for the acquisition and reconstruction of frequency-sparse signals with chaotic dynamical systems. The sparse signal is acting as an excitation term of a discrete-time chaotic system…

信息论 · 计算机科学 2016-12-21 Zhong Liu , Shengyao Chen , Feng Xi

Spiking neural networks (SNNs), as one of the brain-inspired models, has spatio-temporal information processing capability, low power feature, and high biological plausibility. The effective spatio-temporal feature makes it suitable for…

神经与进化计算 · 计算机科学 2022-03-21 Changqing Xu , Yi Liu , Yintang Yang

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…

信息论 · 计算机科学 2017-08-02 Anastasia Lavrenko , Florian Roemer , Giovanni Del Galdo , Reiner Thomae

Sparse sensor placement is a central challenge in the efficient characterization of complex systems when the cost of acquiring and processing data is high. Leading sparse sensing methods typically exploit either spatial or temporal…

最优化与控制 · 数学 2022-06-08 Thomas L. Mohren , Thomas L. Daniel , Steven L. Brunton , Bingni W. Brunton

We describe a proof-of-principal experiment demonstrating the use of spread spectrum technology at the single photon level. We show how single photons with a prescribed temporal shape, in the presence of interfering noise, may be hidden and…

原子物理 · 物理学 2015-05-18 Chinmay Belthangady , Chih-Sung Chuu , Ite A. Yu , G. Y. Yin , J. M. Kahn , S. E. Harris

Radio interferometry probes astrophysical signals through incomplete and noisy Fourier measurements. The theory of compressed sensing demonstrates that such measurements may actually suffice for accurate reconstruction of sparse or…

天体物理学 · 物理学 2009-07-09 Y. Wiaux , L. Jacques , G. Puy , A. M. M. Scaife , P. Vandergheynst

Over the past decade, optical orbital angular momentum (OAM) modes were shown to offer advantages in optical information acquisition. Here, we introduce a new scheme for optical ranging in which depth is estimated through the angular…

Spectra of ordered eigenvalues of finite Random Matrices are interpreted as a time series. Dataadaptive techniques from signal analysis are applied to decompose the spectrum in clearly differentiated trend and fluctuation modes, avoiding…

混沌动力学 · 物理学 2013-12-12 Ruben Fossion , Gamaliel Torres Vargas , Juan Carlos López Vieyra