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In compressed sensing, it is often desirable to consider signals possessing additional structure beyond sparsity. One such structured signal model - which forms the focus of this paper - is the local sparsity in levels class. This class has…

Information Theory · Computer Science 2017-06-05 Chen Li , Ben Adcock

Smart Grids measure energy usage in real-time and tailor supply and delivery accordingly, in order to improve power transmission and distribution. For the grids to operate effectively, it is critical to collect readings from…

Information Theory · Computer Science 2012-02-24 Sheng Cai , Jihang Ye , Minghua Chen , Jianxin Yan , Sidharth Jaggi

Data encryption is the primary method of protecting the privacy of consumer device Internet communications from network observers. The ability to automatically detect unencrypted data in network traffic is therefore an essential tool for…

Cryptography and Security · Computer Science 2018-05-09 Daniel Hahn , Noah Apthorpe , Nick Feamster

This article extends the concept of compressed sensing to signals that are not sparse in an orthonormal basis but rather in a redundant dictionary. It is shown that a matrix, which is a composition of a random matrix of certain type and a…

Probability · Mathematics 2010-11-10 Holger Rauhut , Karin Schnass , Pierre Vandergheynst

Compressed sensing is a technique for finding sparse solutions to underdetermined linear systems. This technique relies on properties of the sensing matrix such as the restricted isometry property. Sensing matrices that satisfy the…

Computational Complexity · Computer Science 2011-10-18 Pascal Koiran , Anastasios Zouzias

In passive monitoring using sensor networks, low energy supplies drastically constrain sensors in terms of calculation and communication abilities. Designing processing algorithms at the sensor level that take into account these constraints…

Applications · Statistics 2015-11-23 Augusto Zebadua , Pierre-Olivier Amblard , Eric Moisan , Olivier . J. J. Michel

Encrypted control has been extensively studied to ensure the confidentiality of system states and control inputs for networked control systems. This paper presents a computationally efficient encrypted control framework for networked…

Quantum Physics · Physics 2025-12-16 Zihao Ren , Daniel Quevedo , Salah Sukkarieh , Guodong Shi

Compressed sensing deals with efficient recovery of analog signals from linear encodings. This paper presents a statistical study of compressed sensing by modeling the input signal as an i.i.d. process with known distribution. Three classes…

Information Theory · Computer Science 2012-07-12 Yihong Wu , Sergio Verdú

A private compression design problem is studied, where an encoder observes useful data $Y$, wishes to compress it using variable length code and communicates it through an unsecured channel. Since $Y$ is correlated with private attribute…

Information Theory · Computer Science 2024-03-27 Amirreza Zamani , Tobias J. Oechtering , Deniz Gündüz , Mikael Skoglund

In this paper the authors describe the problem of acquisition of interfered signals and formulate a filtering problem. A frequency-selective compressed sensing technique is proposed as a solution to this problem. Signal acquisition is…

Information Theory · Computer Science 2015-01-19 Jacek Pierzchlewski , Thomas Arildsen

This paper proposes a generic approach for providing enhanced security to communication systems which encode their data for reliability before encrypting it through a stream cipher for security. We call this counter-intuitive technique the…

Cryptography and Security · Computer Science 2010-08-06 Frederique Oggier , Miodrag J. Mihaljevic

With the advent of ubiquitous computing there are two design parameters of wireless communication devices that become very important power: efficiency and production cost. Compressive sensing enables the receiver in such devices to sample…

Information Theory · Computer Science 2016-11-15 Karsten Fyhn , Tobias Lindstrøm Jensen , Torben Larsen , Søren Holdt Jensen

Recent results in compressed sensing showed that the optimal subsampling strategy should take into account the sparsity pattern of the signal at hand. This oracle-like knowledge, even though desirable, nevertheless remains elusive in most…

Information Theory · Computer Science 2023-06-28 Simon Ruetz

Semiconstrained systems were recently suggested as a generalization of constrained systems, commonly used in communication and data-storage applications that require certain offending subsequences be avoided. In an attempt to apply…

Information Theory · Computer Science 2016-10-25 Ohad Elishco , Tom Meyerovitch , Moshe Schwartz

This work considers the problem of mitigating information leakage between communication and sensing in systems jointly performing both operations. Specifically, a discrete memoryless state-dependent broadcast channel model is studied in…

Information Theory · Computer Science 2022-08-16 Onur Günlü , Matthieu Bloch , Rafael F. Schaefer , Aylin Yener

Auto-Encoders are unsupervised models that aim to learn patterns from observed data by minimizing a reconstruction cost. The useful representations learned are often found to be sparse and distributed. On the other hand, compressed sensing…

Machine Learning · Statistics 2017-07-14 Devansh Arpit , Yingbo Zhou , Hung Q. Ngo , Nils Napp , Venu Govindaraju

Compressed sensing is a theory which guarantees the exact recovery of sparse signals from a small number of linear projections. The sampling schemes suggested by current compressed sensing theories are often of little practical relevance…

Information Theory · Computer Science 2014-07-22 Jérémie Bigot , Claire Boyer , Pierre Weiss

We present an end-to-end image compression system based on compressive sensing. The presented system integrates the conventional scheme of compressive sampling and reconstruction with quantization and entropy coding. The compression…

Computer Vision and Pattern Recognition · Computer Science 2020-01-22 Xin Yuan , Raziel Haimi-Cohen

We study the security of communication between a single transmitter and multiple receivers in a broadcast channel in the presence of an eavesdropper. We consider several special classes of channels. As the first model, we consider the…

Information Theory · Computer Science 2008-12-02 Ersen Ekrem , Sennur Ulukus

Secure data compression in the presence of side information at both a legitimate receiver and an eavesdropper is explored. A noise-free, limited rate link between the source and the receiver, whose output can be perfectly observed by the…

Information Theory · Computer Science 2016-11-17 Deniz Gunduz , Elza Erkip , H. Vincent Poor