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This paper addresses the problem of identifying sparse linear time-invariant (LTI) systems from a single sample trajectory generated by the system dynamics. We introduce a Lasso-like estimator for the parameters of the system, taking into…

Systems and Control · Computer Science 2019-04-23 Salar Fattahi , Nikolai Matni , Somayeh Sojoudi

Sparse modeling is a powerful framework for data analysis and processing. Traditionally, encoding in this framework is done by solving an l_1-regularized linear regression problem, usually called Lasso. In this work we first combine the…

Information Theory · Computer Science 2010-03-02 Pablo Sprechmann , Ignacio Ramirez , Guillermo Sapiro , Yonina C. Eldar

The problem of super-resolution compressive sensing (SR-CS) is crucial for various wireless sensing and communication applications. Existing methods often suffer from limited resolution capabilities and sensitivity to hyper-parameters,…

Signal Processing · Electrical Eng. & Systems 2025-08-12 Yufan Zhou , Jingyi Li , Wenkang Xu , An Liu

Extremely large antenna arrays envisioned for 6G incurs near-field effect, where steering vector depends on angles and range simultaneously. Polar-domain near-field codebooks can focus energy accurately but incur extra two-dimensional…

Signal Processing · Electrical Eng. & Systems 2026-02-02 Zijun Wang , Maria Nivetha A , Ye Hu , Rui Zhang

Automatic speaker verification is susceptible to various manipulations and spoofing, such as text-to-speech synthesis, voice conversion, replay, tampering, adversarial attacks, and so on. We consider a new spoofing scenario called "Partial…

Audio and Speech Processing · Electrical Eng. & Systems 2023-02-07 Lin Zhang , Xin Wang , Erica Cooper , Nicholas Evans , Junichi Yamagishi

This paper studies the problem of Simultaneous Sparse Approximation (SSA). This problem arises in many applications which work with multiple signals maintaining some degree of dependency such as radar and sensor networks. In this paper, we…

Information Theory · Computer Science 2023-04-04 Sahar Sadrizadeh , Shahrzad Kiani , Mahdi Boloursaz , Farokh Marvasti

This article investigates the support detection problem using the LASSO estimator in the space of measures. More precisely, we study the recovery of a discrete measure (spike train) from few noisy observations (Fourier samples, moments...)…

Statistics Theory · Mathematics 2014-02-27 Jean-Marc Azais , Yohann De Castro , Fabrice Gamboa

We consider the problem of recovering a vector $\beta_o \in \mathbb{R}^p$ from $n$ random and noisy linear observations $y= X\beta_o + w$, where $X$ is the measurement matrix and $w$ is noise. The LASSO estimate is given by the solution to…

Statistics Theory · Mathematics 2015-11-05 Ali Mousavi , Arian Maleki , Richard G. Baraniuk

Lasso regression is a widely employed approach within the $\ell_1$ regularization framework used to promote sparsity and recover piecewise smooth signals $f:[a,b) \rightarrow \mathbb{R}$ when the given observations are obtained from noisy,…

Numerical Analysis · Mathematics 2025-07-01 Yao Xiao , Anne Gelb , Aditya Viswanathan

Consider the problem of mitigating the impact on data integrity of phasor measurement units (PMUs) given a GPS spoofing attack. We present a sparse error correction framework to treat PMU measurements that are potentially corrupted due to a…

Signal Processing · Electrical Eng. & Systems 2021-01-19 Shashini De Silva , Jinsub Kim , Eduardo Cotilla-Sanchez , Travis Hagan

We consider the high-dimensional sparse linear regression problem of accurately estimating a sparse vector using a small number of linear measurements that are contaminated by noise. It is well known that the standard cadre of…

Statistics Theory · Mathematics 2014-02-25 Divyanshu Vats , Richard G. Baraniuk

We consider the problem of learning a coefficient vector x_0\in R^N from noisy linear observation y=Ax_0+w \in R^n. In many contexts (ranging from model selection to image processing) it is desirable to construct a sparse estimator x'. In…

Statistics Theory · Mathematics 2015-12-16 Mohsen Bayati , Andrea Montanari

Least Absolute Shrinkage and Selection Operator or the Lasso, introduced by Tibshirani (1996), is a popular estimation procedure in multiple linear regression when underlying design has a sparse structure, because of its property that it…

Methodology · Statistics 2017-10-31 Debraj Das , S. N. Lahiri

Despite the advancements in quality and efficiency achieved by 3D Gaussian Splatting (3DGS) in 3D scene rendering, aliasing artifacts remain a persistent challenge. Existing approaches primarily rely on low-pass filtering to mitigate…

Computer Vision and Pattern Recognition · Computer Science 2025-09-03 Zhenya Yang , Bingchen Gong , Kai Chen

Voice anti-spoofing systems are crucial auxiliaries for automatic speaker verification (ASV) systems. A major challenge is caused by unseen attacks empowered by advanced speech synthesis technologies. Our previous research on one-class…

Audio and Speech Processing · Electrical Eng. & Systems 2022-11-08 Siwen Ding , You Zhang , Zhiyao Duan

In this paper, we consider downlink low Earth orbit (LEO) satellite communication systems where multiple LEO satellites are uniformly distributed over a sphere at a certain altitude according to a homogeneous binomial point process (BPP).…

Information Theory · Computer Science 2022-06-24 Dong-Hyun Jung , Joon-Gyu Ryu , Woo-Jin Byun , Junil Choi

The application of the lasso is espoused in high-dimensional settings where only a small number of the regression coefficients are believed to be nonzero. Moreover, statistical properties of high-dimensional lasso estimators are often…

Methodology · Statistics 2015-01-07 Bala Rajaratnam , Steven Roberts , Doug Sparks , Onkar Dalal

We study the problem of variable selection in convex nonparametric least squares (CNLS). Whereas the least absolute shrinkage and selection operator (Lasso) is a popular technique for least squares, its variable selection performance is…

Methodology · Statistics 2025-10-31 Zhiqiang Liao , Zhaonan Qu

LoRaWAN is nowadays one of the most popular protocols for low-power Internet-of-Things communications. Although its physical layer, namely LoRa, has been thoroughly studied in the literature, aspects related to the synchronization of LoRa…

Signal Processing · Electrical Eng. & Systems 2021-08-03 Mathieu Xhonneux , Orion Afisiadis , David Bol , Jérôme Louveaux

We study a seemingly unexpected and relatively less understood overfitting aspect of a fundamental tool in sparse linear modeling - best subset selection, which minimizes the residual sum of squares subject to a constraint on the number of…

Methodology · Statistics 2022-01-11 Rahul Mazumder , Peter Radchenko , Antoine Dedieu
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