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A generalised concept of the signal-to-noise ratio (or equivalently the ratio of predictable components, or RPC) is provided, based on proper scoring rules. This definition is the natural generalisation of the classical RPC, yet it allows…

Applications · Statistics 2026-03-31 Jochen Bröcker , Eviatar Bach

Residual variance and the signal-to-noise ratio are important quantities in many statistical models and model fitting procedures. They play an important role in regression diagnostics, in determining the performance limits in estimation and…

Methodology · Statistics 2012-09-04 Lee H. Dicker

The development of electron spin resonance (ESR) combined with scanning tunneling spectroscopy (STM) is undoubtedly one of the main experimental breakthroughs in surface science of the last decade thanks to joining the extraordinarily high…

Strongly Correlated Electrons · Physics 2022-08-31 Fernando Delgado , Nicolás Lorente

Over the past two decades, vibrational resonance has garnered significant interest and evolved into a prominent research field. Classical vibrational resonance examines the response of a nonlinear system excited by two signals: a weak,…

Adaptation and Self-Organizing Systems · Physics 2024-03-19 Jianhua Yang , S. Rajasekar , Miguel A. F. Sanjuan

We propose a novel mechanism to test time variation of the propagation speed of gravitational waves (GWs) in light of GWs astronomy. As the stochastic GWs experience the whole history of cosmic expansion, they encode potential observational…

General Relativity and Quantum Cosmology · Physics 2021-02-23 Yi-Fu Cai , Chunshan Lin , Bo Wang , Sheng-Feng Yan

We investigate the potential for controlling the effect of nonlinear Stochastic Resonance (SR) by use of harmonic mixing signals for an overdamped Brownian dynamics in a symmetric double well potential. The periodic forcing for harmonic…

Statistical Mechanics · Physics 2007-05-23 Gerhard Schmid , Peter Hanggi

The effects of perturbation of a weak periodic signal (WPS) assisted by noise or a high frequency signal (HFS) respectively on an excitable uni-junction transistor relaxation oscillator (UJT-RO) is presented here. When the perturbation by a…

Adaptation and Self-Organizing Systems · Physics 2017-04-05 Ajit Mahata , Md Nurujjaman , Utpal Deka

We study resonance behavior of a two-dimensional fully frustrated Josephson-junction array driven by high alternating currents. The signal-to-noise ratio (SNR) is examined as the frequency of the driving current is varied; revealed is a…

Statistical Mechanics · Physics 2007-05-23 Jong Soo Lim , M. Y. Choi , Beom Jun Kim

In spectroscopic analysis, the peak-based signal-to-noise ratio (pSNR) is commonly used but suffers from limitations such as sensitivity to noise spikes and reduced effectiveness for broader peaks. We introduce the area-based…

Signal Processing · Electrical Eng. & Systems 2025-12-25 Alex Yu , Huaqing Zhao , Lin Z. Li

Stochastic resetting, a diffusive process whose amplitude is "reset" to the origin at random times, is a vividly studied strategy to optimize encounter dynamics, e.g., in chemical reactions. We here generalize the resetting step by…

Statistical Mechanics · Physics 2021-05-26 M. Dahlenburg , A. V. Chechkin , R. Schumer , R. Metzler

Resonance based numerical schemes are those in which cancellations in the oscillatory components of the equation are taken advantage of in order to reduce the regularity required of the initial data to achieve a particular order of error…

Numerical Analysis · Mathematics 2024-02-14 Jacob Armstrong-Goodall , Yvain Bruned

In specific motifs of three recurrently connected neurons with probabilistic response, the spontaneous information flux, defined as the mutual information between subsequent states, has been shown to increase by adding ongoing white noise…

Neurons and Cognition · Quantitative Biology 2024-08-13 Claus Metzner , Achim Schilling , Andreas Maier , Patrick Krauss

We have analyzed the interplay between noise and periodic spatial modulations in bistable systems outside equilibrium and found that noise is able to increase the spatial order of the system, giving rise to periodic patterns which otherwise…

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

For earthquake-resistant design, engineering seismologists employ time-history analysis for nonlinear simulations. The nonstationary stochastic method previously developed by Pousse et al. (2006) has been updated. This method has the…

Applications · Statistics 2012-12-18 Aurore Laurendeau , Fabrice Cotton , Luis Fabian Bonilla

A gravitational wave stochastic background of astrophysical origin may have resulted from the superposition of a large number of unresolved sources since the beginning of stellar activity. Its detection would put very strong constrains on…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Tania Regimbau

Super-Resolution (SR) is the problem that consists in reconstructing images that have been degraded by a zoom-out operator. This is an ill-posed problem that does not have a unique solution, and numerical approaches rely on a prior on…

Image and Video Processing · Electrical Eng. & Systems 2024-05-30 Emile Pierret , Bruno Galerne

Sparse signal recovery is one of the most fundamental problems in various applications, including medical imaging and remote sensing. Many greedy algorithms based on the family of hard thresholding operators have been developed to solve the…

Signal Processing · Electrical Eng. & Systems 2023-06-09 Rachel Grotheer , Shuang Li , Anna Ma , Deanna Needell , Jing Qin

Inverse stochastic resonance (ISR) is a phenomenon where noise reduces rather than increases the firing rate of a neuron, sometimes leading to complete quiescence. ISR was first experimentally verified with cerebellar Purkinje neurons.…

Adaptation and Self-Organizing Systems · Physics 2024-10-18 Marius E. Yamakou , Jinjie Zhu , Erik A. Martens

Removing noise from a signal without knowing the characteristics of the noise is a challenging task. This paper introduces a signal-noise separation method based on time series prediction. We use Reservoir Computing (RC) to extract the…

Machine Learning · Computer Science 2024-05-31 Jaesung Choi , Pilwon Kim

We investigate the role of noise in the phenomenon of stochastic synchronization of switching events in a rocked, overdamped bistable potential driven by white Gaussian noise, the archetype description of Stochastic Resonance. We present a…