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Compressed sensing allows perfect recovery of sparse signals (or signals sparse in some basis) using only a small number of random measurements. Existing results in compressed sensing literature have focused on characterizing the achievable…

Information Theory · Computer Science 2015-05-18 Dmitry Malioutov , Sujay Sanghavi , Alan Willsky

This paper studies the sparse identification problem of unknown sparse parameter vectors in stochastic dynamic systems. Firstly, a novel sparse identification algorithm is proposed, which can generate sparse estimates based on least squares…

Optimization and Control · Mathematics 2024-04-02 Ziming Wang , Xinghua Zhu

Adaptive algorithms belong to an important class of algorithms used in radar target detection to overcome prior uncertainty of interference covariance. The contamination of the empirical covariance matrix by the useful signal leads to…

Signal Processing · Electrical Eng. & Systems 2021-01-01 Boris N. Oreshkin

We consider the problem of detecting change-points in univariate time series by fitting a continuous piecewise linear signal using the residual sum of squares. Values of the inferred signal at slope breaks are restricted to a finite set of…

Computation · Statistics 2022-04-08 Vincent Runge , Marco Pascucci , Nicolas Deschamps de Boishebert

In this work we introduce a novel stochastic algorithm dubbed SNIPS, which draws samples from the posterior distribution of any linear inverse problem, where the observation is assumed to be contaminated by additive white Gaussian noise.…

Image and Video Processing · Electrical Eng. & Systems 2021-11-11 Bahjat Kawar , Gregory Vaksman , Michael Elad

The problem of estimating parameters of switched affine systems with noisy input-output observations is considered. The switched affine models is transformed into a switched linear one by removing its intersection subspace, which is…

Methodology · Statistics 2013-09-16 Liang Li , Wei Dong , Yindong Ji , Lang Tong

We address the problem of robust state estimation of a class of discrete-time nonlinear systems with positive-slope nonlinearities when the sensors are corrupted by (potentially unbounded) attack signals and bounded measurement noise. We…

Signal Processing · Electrical Eng. & Systems 2018-09-21 Tianci Yang , Carlos Murguia , Margreta Kuijper , Dragan Nešić

This paper proposes a U-Net-based autoencoder framework for mitigating interference in communication signals corrupted by noise and diverse interference sources. The approach targets scenarios involving both signal-plus-noise and…

Signal Processing · Electrical Eng. & Systems 2025-12-17 Hiten Prakash Kothari , R. Michael Buehrer

Spectral estimation (SE) aims to identify how the energy of a signal (e.g., a time series) is distributed across different frequencies. This can become particularly challenging when only partial and noisy observations of the signal are…

Machine Learning · Statistics 2019-01-15 Felipe Tobar

This paper addresses the problem of channel estimation in multi-cell interference-limited cellular networks. We consider systems employing multiple antennas and are interested in both the finite and large-scale antenna number regimes…

Information Theory · Computer Science 2016-11-15 Haifan Yin , David Gesbert , Miltiades Filippou , Yingzhuang Liu

We consider the problems of estimation and selection of parameters endowed with a known group structure, when the groups are assumed to be sign-coherent, that is, gathering either nonnegative, nonpositive or null parameters. To tackle this…

Methodology · Statistics 2015-03-19 Julien Chiquet , Yves Grandvalet , Camille Charbonnier

Event cameras capture sparse, asynchronous brightness changes which offer high temporal resolution, high dynamic range, low power consumption, and sparse data output. These advantages make them ideal for Space Situational Awareness,…

Computer Vision and Pattern Recognition · Computer Science 2024-11-19 Sami Arja , Alexandre Marcireau , Nicholas Owen Ralph , Saeed Afshar , Gregory Cohen

Due to the massive number of devices in the M2M communication era, new challenges have been brought to the existing random-access (RA) mechanism, such as severe preamble collisions and resource block (RB) wastes. To address these problems,…

Information Theory · Computer Science 2019-10-09 Zhaoji Zhang , Ying Li , Lei Liu , Huimei Han

In this letter, we propose a sparsity promoting feedback acquisition and reconstruction scheme for sensing, encoding and subsequent reconstruction of spectrally sparse signals. In the proposed scheme, the spectral components are estimated…

Information Theory · Computer Science 2017-11-28 Mahdi Boloursaz Mashhadi , Saeed Gazor , Nazanin Rahnavard , Farokh Marvasti

We report an application of a simultaneous perturbation stochastic approximation (SPSA) algorithm to filtering systematic noise (SN) with non-zero mean value in photoemission data. In our analysis we have used a series of 50 single-scan…

Mathematical Physics · Physics 2009-11-13 D. S. Fedin , O. N. Granichin , Yu. S. Dedkov , S. L. Molodtsov

For identifying the non-Gaussian impulsive noise systems, normalized LMP (NLMP) has been proposed to combat impulsive-inducing instability. However, the standard algorithm is without considering the inherent sparse structure distribution of…

Information Theory · Computer Science 2015-03-04 Wentao Ma , Hua Qu , Jihong Zhao , Badong Chen , Guan Gui

The `Signal plus Noise' model for nonparametric regression can be extended to the case of observations taken at the vertices of a graph. This model includes many familiar regression problems. This article discusses the use of the edges of a…

Methodology · Statistics 2009-11-11 Arne Kovac , Andrew D. A. C. Smith

This paper considers the problem of estimating linear dynamic system models when the observations are corrupted by random disturbances with nonstandard distributions. The paper is particularly motivated by applications where sensor…

Methodology · Statistics 2018-07-09 Johan Dahlin , Adrian Wills , Brett Ninness

In data analysis, contamination caused by outliers is inevitable, and robust statistical methods are strongly demanded. In this paper, our concern is to develop a new approach for robust data analysis based on scoring rules. The scoring…

Statistics Theory · Mathematics 2013-11-22 Takafumi Kanamori , Hironori Fujisawa

Motivated by the structure reconstruction problem in single-particle cryo-electron microscopy, we consider the multi-target detection model, where multiple copies of a target signal occur at unknown locations in a long measurement, further…

Information Theory · Computer Science 2020-04-22 Ti-Yen Lan , Tamir Bendory , Nicolas Boumal , Amit Singer