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Instead of treating the noise as a detrimental effect, can we use it as an information carrier? In this letter, we provide the conceptual and mathematical foundations of wireless communication utilizing noise and random signals in general.…

Information Theory · Computer Science 2023-12-22 Ertugrul Basar

Deep neural networks unlocked a vast range of new applications by solving tasks of which many were previously deemed as reserved to higher human intelligence. One of the developments enabling this success was a boost in computing power…

Neural and Evolutionary Computing · Computer Science 2021-12-17 Nadezhda Semenova , Laurent Larger , Daniel Brunner

An important characteristic of flocks of birds, school of fish, and many similar assemblies of self-propelled particles is the emergence of states of collective order in which the particles move in the same direction. When noise is added…

Statistical Mechanics · Physics 2015-01-19 M. Aldana , V. Dossetti , C. Huepe , V. M. Kenkre , H. Larralde

Recently, a new signal analysis method based on a semi-classical approach has been proposed [1]. The main idea in this method is to interpret a signal as a potential of a Schrodinger operator and then to use the discrete spectrum of this…

Numerical Analysis · Mathematics 2012-09-03 Da-Yan Liu , Taous-Meriem Laleg-Kirati

We analyze order-disorder phase transitions driven by noise that occur in two kinds of network models closely related to the self-propelled model proposed by Vicsek et. al. to describe the collective motion of groups of organisms…

Disordered Systems and Neural Networks · Physics 2008-02-27 Jaime A. Pimentel , Maximino Aldana , Cristián Huepe , Hernán Larralde

The issue of white-noise-aided control is considered and its availability is proved. And a noise-aiding way is developed to stabilize perturbed systems to be input-to-state stable (ISS) with respect to (w.r.t.) perturbations. To illustrate…

Optimization and Control · Mathematics 2008-06-24 Wuhua Hu

The usual interpretation of noise is represented by a sum of many independent two-level elementary random signals with a distribution of relaxation times. In this paper it is demonstrated that also the superposition of many similar…

Data Analysis, Statistics and Probability · Physics 2007-08-24 Giovanni Zanella

The literature on compressed sensing has focused almost entirely on settings where the signal is noiseless and the measurements are contaminated by noise. In practice, however, the signal itself is often subject to random noise prior to…

Information Theory · Computer Science 2015-10-28 Ery Arias-Castro , Yonina C. Eldar

We present exact analytical results for the statistics of nonlinear coupled oscillators under the influence of additive white noise. We suggest a perturbative approach for analysing the statistics of such systems under the action of a…

Chaotic Dynamics · Physics 2007-05-23 J. E. Prilepsky , S. A. Derevyanko

An important step of seismic data processing is removing noise, including interference due to simultaneous and blended sources, from the recorded data. Traditional methods are time-consuming to apply as they often require manual choosing of…

Image and Video Processing · Electrical Eng. & Systems 2019-07-03 Alan Richardson , Caelen Feller

Recurrence networks are powerful tools used effectively in the nonlinear analysis of time series data. The analysis in this context is done mostly with unweighted and undirected complex networks constructed with specific criteria from the…

Chaotic Dynamics · Physics 2017-09-18 Rinku Jacob , K. P. Harikrishnan , R. Misra , G. Ambika

Seismic data processing algorithms greatly benefit from regularly sampled and reliable data. Therefore, interpolation and denoising play a fundamental role as one of the starting steps of most seismic processing workflows. We exploit…

Neural and Evolutionary Computing · Computer Science 2019-10-22 Sara Mandelli , Vincenzo Lipari , Paolo Bestagini , Stefano Tubaro

Stochastic resonance is a non-linear phenomenon, in which the sensitivity of signal detectors can be enhanced by adding random noise to the detector input. Here, we demonstrate that noise can also improve the information flux in recurrent…

Neurons and Cognition · Quantitative Biology 2018-11-30 Patrick Krauss , Karin Prebeck , Achim Schilling , Claus Metzner

With advancements in microelectromechanical systems, low-power integrated circuits, and wireless communications, wireless sensor networks (WSNs) have become increasingly significant [1][2]. These distributed networks enable efficient…

Networking and Internet Architecture · Computer Science 2025-01-07 Michael Simon , Salwa M. Din , Raja Jamal Chib

In this work, we apply Convolutional Neural Networks (CNNs) to detect gravitational wave (GW) signals of compact binary coalescences, using single-interferometer data from LIGO detectors. As novel contribution, we adopted a resampling…

Instrumentation and Methods for Astrophysics · Physics 2020-09-10 Manuel D. Morales , Javier M. Antelis , Claudia Moreno , Alexander I. Nesterov

Noise of non-astrophysical origin will contaminate science data taken by the Advanced Laser Interferometer Gravitational-wave Observatory (aLIGO) and Advanced Virgo gravitational-wave detectors. Prompt characterization of instrumental and…

Instrumentation and Methods for Astrophysics · Physics 2015-10-21 Jade Powell , Daniele Trifiro , Elena Cuoco , Ik Siong Heng , Marco Cavaglia

We consider the multitasking associative network in the low-storage limit and we study its phase diagram with respect to the noise level $T$ and the degree $d$ of dilution in pattern entries. We find that the system is characterized by a…

Disordered Systems and Neural Networks · Physics 2013-04-17 Elena Agliari , Adriano Barra , Andrea Galluzzi , Marco Isopi

Sensor pattern noise has been found to be a reliable tool for providing information relating to the provenance of an image. Conventionally sensor pattern noise is modelled as a mutual interaction of pixel non-uniformity noise and dark…

Image and Video Processing · Electrical Eng. & Systems 2019-01-09 Richard Matthews , Matthew Sorell , Nickolas Falkner

Spin noise spectroscopy is emerging as a powerful technique for studying the dynamics of various spin systems also beyond their thermal equilibrium and linear response. Here, we study spin fluctuations of room-temperature neutral atoms in a…

Atomic Physics · Physics 2021-07-21 V. Guarrera , R. Gartman , G. Bevilacqua , W. Chalupczak

Neural networks are known to develop latent representations that are $aligned$, namely structurally similar across networks trained with different architectures, training protocols, or training datasets. We study this phenomenon in a…

Machine Learning · Statistics 2026-05-27 Ali Hussaini Umar , Alessandro Laio