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Coupling frequently enhances noise-induced coherence and synchronization in interacting nonlinear systems, but it does so separately. In principle collective stochastic coherence and synchronizability are incompatible phenomena, since…

Adaptation and Self-Organizing Systems · Physics 2015-06-17 Pablo Balenzuela , Pau Rué , Stefano Boccaletti , Jordi García-Ojalvo

Neurons in the brain represent information in their collective activity. The fidelity of this neural population code depends on whether and how variability in the response of one neuron is shared with other neurons. Two decades of studies…

Neurons and Cognition · Quantitative Biology 2021-02-02 Rava Azeredo da Silveira , Fred Rieke

Stochastic Gradient Descent (SGD) has become a cornerstone of neural network optimization due to its computational efficiency and generalization capabilities. However, the gradient noise introduced by SGD is often assumed to be uncorrelated…

Machine Learning · Computer Science 2025-12-23 Marcel Kühn , Bernd Rosenow

We show that scaling arguments are very useful to analyze the dynamics of periodically modulated noisy systems. Information about the behavior of the relevant quantities, such as the signal-to-noise ratio, upon variations of the noise…

Statistical Mechanics · Physics 2016-08-15 J. M. G. Vilar , J. M. Rubí

Stochastic resonance holds much promise for the detection of weak signals in the presence of relatively loud noise. Following the discovery of nondynamical and of aperiodic stochastic resonance, it was recently shown that the phenomenon can…

Condensed Matter · Physics 2009-10-31 Redouane Fakir

The analytical expression for the signal-to-noise ratio of a slotted surface coil with an arbitrary number of slots was derived using the quasi-static approach. This surface coil based on the vane-type magnetron tube. To study the coil…

Medical Physics · Physics 2011-02-10 K. Ocegueda , S. S. Hidalgo , S. E. Solis , A. O. Rodriguez

Spatial coherence resonance in a spatially extended system that is locally modeled by Hodgkin-Huxley (HH) neurons is studied in this paper. We focus on the ability of additive temporally and spatially uncorrelated Gaussian noise to extract…

Chaotic Dynamics · Physics 2008-04-21 Xiaojuan Sun , Matjaz Perc , Qishao Lu , Jürgen Kurths

We consider reflector imaging in a weakly random waveguide. We address the situation in which the source is farther from the reflector to be imaged than the energy equipartition distance, but the receiver array is closer to the reflector to…

Analysis of PDEs · Mathematics 2013-04-17 Habib Ammari , Josselin Garnier , Wenjia Jing

We propose a mechanism of stochastic resonance induced by spatial noise (electric random fields) in ferroelectrics. The calculations demonstrate the characteristic of the stochastic resonance: certain random field can increase the…

Statistical Mechanics · Physics 2009-11-07 Zhi-Rong Liu , Wenhui Duan , Bing-Lin Gu , Xiao-Wen Zhang

Many analyses of microwave background experiments neglect the correlation of noise in different frequency or polarization channels. We show that these correlations, should they be present, can lead to severe misinterpretation of an…

Astrophysics · Physics 2009-10-22 Scott Dodelson , Arthur Kosowsky , Steven T. Myers

We address the metrological problem of estimating collective stochastic properties imprinted on a network of quantum sensors. Canonical examples include center-of-mass quadrature fluctuations in a system of bosonic modes and correlated…

Quantum Physics · Physics 2026-02-27 Anthony J. Brady , Yu-Xin Wang , Victor V. Albert , Alexey V. Gorshkov , Quntao Zhuang

Imaging is an important means by which information is gathered regarding the physical world. Spatial resolution and signal-to-noise ratio are underpinning concepts. There is a paucity of rigorous definitions for these quantities, which are…

Optics · Physics 2019-09-27 David M. Paganin , Alexander Kozlov , Timur E. Gureyev

We study the diversity of complex spatio-temporal patterns of random synchronous asymmetric neural networks (RSANNs). Specifically, we investigate the impact of noisy thresholds on network performance and find that there is a narrow and…

Disordered Systems and Neural Networks · Physics 2007-05-23 Henrik Bohr , Patrick McGuire , Chris Pershing , Johann Rafelski

Spatially correlated noise poses a significant challenge to fault-tolerant quantum computation by breaking the assumption of independent errors. Existing methods such as cycle benchmarking and quantum process tomography can characterize…

Quantum Physics · Physics 2026-02-11 Balázs Gulácsi , Joris Kattemölle , Guido Burkard

Weakly scattering random lasers exhibit lasing modes that spatially overlap and can interact strongly via gain saturation. Consequently, lasing in high-threshold modes may be suppressed by strong low-threshold lasing modes. We numerically…

Optics · Physics 2012-02-22 Jonathan Andreasen , Hui Cao

Augmented listening devices such as hearing aids often perform poorly in noisy and reverberant environments with many competing sound sources. Large distributed microphone arrays can improve performance, but data from remote microphones…

Audio and Speech Processing · Electrical Eng. & Systems 2019-12-12 Ryan M. Corey , Matthew D. Skarha , Andrew C. Singer

The robust estimation of the tiny distortions (shears) of galaxy shapes caused by weak gravitational lensing in the presence of much larger shape distortions due to the point-spread function (PSF) has been widely investigated. One major…

Instrumentation and Methods for Astrophysics · Physics 2016-03-09 Alex Gurvich , Rachel Mandelbaum

Search sensitivity to a stochastic gravitational-wave background (SGWB) is enhanced by cross-correlating detector signals. However, one of the most serious concerns is the environmental noise correlated between detectors. The global…

General Relativity and Quantum Cosmology · Physics 2023-04-05 Yoshiaki Himemoto , Atsushi Nishizawa , Atsushi Taruya

We discuss the effects of noise on the timing and strength of superradiant Raman scattering from a small dense sample of atoms. We demonstrate a genuine quantum stochastic resonance effect, where the atomic response is largest for an…

Quantum Physics · Physics 2013-01-29 D. Witthaut

A recent scheme for perfect transmission of quantum states through quasi-one dimensional chains requires application of global control at regular intervals of time. We study the effect of stochastic noise in this control and find that the…

Quantum Physics · Physics 2015-06-11 Fabio Benatti , Roberto Floreanini , Vahid Karimipour