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We present a class of systems for which the signal-to-noise ratio as a function of the noise level may display a multiplicity of maxima. This phenomenon, referred to as stochastic multiresonance, indicates the possibility that periodic…

Condensed Matter · Physics 2016-08-15 J. M. G. Vilar , J. M. Rubí

Quantum noise is conventionally viewed as a fundamental obstacle in near-term quantum computing, motivating extensive error correction and mitigation strategies. We present numerical evidence that challenges this consensus. Through…

Quantum Physics · Physics 2026-01-21 Linghua Zhu , Yulong Dong , Ziyu Zhang , Xiaosong Li

Noise is conventionally viewed as a severe problem in diverse fields, e.g., engineering, learning systems. However, this paper aims to investigate whether the conventional proposition always holds. It begins with the definition of task…

Machine Learning · Computer Science 2022-12-20 Xuelong Li

The continuous interaction between brain regions "at rest" defines the so-called resting state networks (RSN) which can be reconstructed from the analysis of functional magnetic resonance imaging (fMRI) data. What dynamical mechanism allows…

Neurons and Cognition · Quantitative Biology 2012-08-10 Dante R. Chialvo , Daniel Fraiman

Following Fisher, it is widely believed that randomization "relieves the experimenter from the anxiety of considering innumerable causes by which the data may be disturbed." In particular, it is said to control for known and unknown…

Methodology · Statistics 2017-10-02 Uwe Saint-Mont

$\textbf{Formal version available at}$ https://cell.com/patterns/fulltext/S2666-3899(23)00200-3 Networks of spiking neurons underpin the extraordinary information-processing capabilities of the brain and have become pillar models in…

Neural and Evolutionary Computing · Computer Science 2023-09-18 Gehua Ma , Rui Yan , Huajin Tang

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 phase response curve (PRC) is an important measure representing the interaction between oscillatory elements. To understand synchrony in biological systems, many research groups have sought to measure PRCs directly from biological cells…

Quantitative Methods · Quantitative Biology 2015-08-03 Kazuhiko Morinaga , Ryota Miyata , Toru Aonishi

White noise is a fundamental and fairly well understood stochastic process that conforms the conceptual basis for many other processes, as well as for the modeling of time series. Here we push a fresh perspective toward white noise that,…

Statistical Mechanics · Physics 2023-01-04 Alvaro Diaz-Ruelas

Recent research has provided a wealth of evidence highlighting the pivotal role of high-order interdependencies in supporting the information-processing capabilities of distributed complex systems. These findings may suggest that high-order…

Adaptation and Self-Organizing Systems · Physics 2023-05-24 Patricio Orio , Pedro A. M. Mediano , Fernando E. Rosas

We introduce a signal processing model for signals in non-white noise, where the exact noise spectrum is a priori unknown. The model is based on a Student's t distribution and constitutes a natural generalization of the widely used normal…

Methodology · Statistics 2015-03-13 Christian Röver , Renate Meyer , Nelson Christensen

The phenomenon of Stochastic Resonance (SR) is reported in a completely noise-free situation, with the role of thermal noise being taken by low-dimensional chaos. A one-dimensional, piecewise linear map and a pair of coupled…

chao-dyn · Physics 2009-10-31 Sitabhra Sinha

Brain rhythms contribute to every aspect of brain function. Here, we study critical and resonance phenomena that precede the emergence of brain rhythms. Using an analytical approach and simulations of a cortical circuit model of neural…

Disordered Systems and Neural Networks · Physics 2015-06-12 A. V. Goltsev , M. A. Lopes , K. -E. Lee , J. F. F. Mendes

Stochasticity is both exploited and controlled by cells. Although the intrinsic stochasticity inherent in biochemistry is relatively well understood, cellular variation, or 'noise', is predominantly generated by interactions of the system…

Molecular Networks · Quantitative Biology 2008-09-18 Vahid Shahrezaei , Julien F Ollivier , Peter S Swain

The response of neurons is highly sensitive to the stimulus. The stimulus can be associated with a direct injection in vitro experimentation (e.g., time dependent and independent inputs); or post-synaptic potentials resulting from the…

Neurons and Cognition · Quantitative Biology 2024-01-09 Afifurrahman , Mohd Hafiz Mohd , Farah Aini Abdullah

Noise-based logic is a practically deterministic logic scheme inspired by the randomness of neural spikes and uses a system of uncorrelated stochastic processes and their superposition to represent the logic state. We briefly discuss…

Emerging Technologies · Computer Science 2015-03-30 Laszlo B. Kish , Claes-Goran Granqvist , Tamas Horvath , Andreas Klappenecker , He Wen , Sergey M. Bezrukov

Many networks in the brain are sparsely connected, and the brain eliminates synapses during development and learning. How could the brain decide which synapses to prune? In a recurrent network, determining the importance of a synapse…

Neurons and Cognition · Quantitative Biology 2021-07-20 Eli Moore , Rishidev Chaudhuri

The goal of this paper is to assess the impact of noise in 3D camera-captured data by modeling the noise of the imaging process and applying it on synthetic training data. We compiled a dataset of specifically constructed scenes to obtain a…

Computer Vision and Pattern Recognition · Computer Science 2024-02-27 Katarína Osvaldová , Lukáš Gajdošech , Viktor Kocur , Martin Madaras

We study the effect of memory on synchronization of identical chaotic systems driven by common external noises. Our examples show that while in general synchronization transition becomes more difficult to meet when memory range increases,…

Chaotic Dynamics · Physics 2009-11-11 Rafael Morgado , Michal Ciesla , Lech Longa , Fernando A. Oliveira

The noise can stabilize a fluctuating or a periodically driven metastable state in such a way that the system remains in this state for a longer time than in the absence of white noise. This is the noise enhanced stability phenomenon,…

Statistical Mechanics · Physics 2007-05-23 Bernardo Spagnolo , Nikolay V. Agudov , Alexander A. Dubkov
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