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相关论文: Signal Selection Based on Stochastic Resonance

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We analyze the effects of noise on the traveling wave dynamics in neural fields. The noise influences the dynamics on two scales: first, it causes fluctuations in the wave profile, and second, it causes a random shift in the phase of the…

概率论 · 数学 2015-08-06 Eva Lang

We analyze the consequences that the choice of the output of the system has in the efficiency of signal detection. It is shown that the signal and the signal-to-noise ratio (SNR), used to characterize the phenomenon of stochastic resonance,…

凝聚态物理 · 物理学 2016-08-15 J. M. G. Vilar , J. M. Rubí

Many modern applications of the artificial neural networks ensue large number of layers making traditional digital implementations increasingly complex. Optical neural networks offer parallel processing at high bandwidth, but have the…

神经与进化计算 · 计算机科学 2022-08-24 Egor Manuylovich , Diego Argüello Ron , Morteza Kamalian-Kopae , Sergei Turitsyn

In this work we study the detection of weak stimuli by spiking neurons in the presence of certain level of noisy background neural activity. Our study has focused in the realistic assumption that the synapses in the network present…

神经元与认知 · 定量生物学 2009-06-04 Jorge F. Mejias , Joaquin J. Torres

We consider signal transaction in a simple neuronal model featuring intrinsic noise. The presence of noise limits the precision of neural responses and impacts the quality of neural signal transduction. We assess the signal transduction…

生物物理 · 物理学 2015-03-17 Michael J. Barber , Manfred L. Ristig

In this article, we study the problem of parameter estimation for a discrete Ornstein - Uhlenbeck model driven by Poisson fractional noise. Based on random walk approximation for the noise, we study least squares and maximum likelihood…

统计理论 · 数学 2017-12-15 Héctor Araya , Natalia Bahamonde , Tania Roa , Soledad Torres

When stock prices are observed at high frequencies, more information can be utilized in estimation of parameters of the price process. However, high-frequency data are contaminated by the market microstructure noise which causes significant…

统计金融 · 定量金融 2025-10-21 Vladimír Holý , Petra Tomanová

The concept of time-correlated noise is important to applied stochastic modelling. Nevertheless, there is no generally agreed-upon definition of the term red noise in continuous-time stochastic modelling settings. We present here a rigorous…

概率论 · 数学 2025-08-14 Andreas Morr , Dörte Kreher , Niklas Boers

In this work, we study the class of stochastic process that generalizes the Ornstein-Uhlenbeck processes, hereafter called by \emph{Generalized Ornstein-Uhlenbeck Type Process} and denoted by GOU type process. We consider them driven by the…

统计理论 · 数学 2021-08-17 J. Stein , S. R. C. Lopes , A. V. Medino

In a system of non-linear chemical reactions called the Brusselator, we show that {\it intrinsic noise} can be regulated to drive it to exhibit resonance in the presence of a sub-threshold signal. The phenomena of periodic stochastic…

化学物理 · 物理学 2012-08-06 Supravat Dey , Dibyendu Das , P. Parmananda

Varied sensory systems use noise in order to enhance detection of weak signals. It has been conjectured in the literature that this effect, known as stochastic resonance, may take place in central cognitive processes such as the memory…

神经元与认知 · 定量生物学 2007-05-23 Julien Mayor , Wulfram Gerstner

In this study, we generalize a problem of sampling a scalar Gauss Markov Process, namely, the Ornstein-Uhlenbeck (OU) process, where the samples are sent to a remote estimator and the estimator makes a causal estimate of the observed…

信息论 · 计算机科学 2022-02-14 Tasmeen Zaman Ornee , Yin Sun

The problem of analyzing the Ito stochastic differential system and its filtering has received attention. The classical approach to accomplish filtering for the Ito SDE is the Kushner equation. In contrast to the classical filtering…

最优化与控制 · 数学 2019-10-15 Shaival H. Nagarsheth , Dhruvi S. Bhatt , Shambhu N. Sharma

A steadily increasing body of evidence suggests that the brain performs probabilistic inference to interpret and respond to sensory input and that trial-to-trial variability in neural activity plays an important role. The neural sampling…

神经元与认知 · 定量生物学 2017-07-07 Ilja Bytschok , Dominik Dold , Johannes Schemmel , Karlheinz Meier , Mihai A. Petrovici

Inferring dynamical models from data continues to be a significant challenge in computational biology, especially given the stochastic nature of many biological processes. We explore a common scenario in omics, where statistically…

机器学习 · 计算机科学 2025-07-31 Suryanarayana Maddu , Victor Chardès , Michael. J. Shelley

We theoretically describe how weak signals may be efficiently transmitted throughout more than one frequency range in noisy excitable media by kind of stochastic multiresonance. This serves us here to reinterpret recent experiments in…

数据分析、统计与概率 · 物理学 2015-05-27 J. J. Torres , J. Marro , J. F. Mejias

A subthreshold signal is transmitted through a channel and may be detected when some noise -- with known structure and proportional to some level -- is added to the data. There is an optimal noise level, called stochastic resonance, that…

统计理论 · 数学 2007-06-13 Stefano M. Iacus

The paradigm of stochastic resonance (SR)---the idea that signal detection and transmission may benefit from noise---has met with great interest in both physics and the neurosciences. We investigate here the consequences of reducing the…

生物物理 · 物理学 2009-11-06 Hans E. Plesser , Theo Geisel

We investigate the stochastic resonance phenomenon in a physical system based on a tunnel diode. The experimental control parameters are set to allow the control of the frequency and amplitude of the deterministic modulating signal over an…

统计力学 · 物理学 2009-10-31 Rosario N. Mantegna , Bernardo Spagnolo , Marco Trapanese

Neuronal membrane potentials fluctuate stochastically due to conductance changes caused by random transitions between the open and close states of ion channels. Although it has previously been shown that channel noise can nontrivially…

神经元与认知 · 定量生物学 2013-12-06 Brett A. Schmerl , Mark D. McDonnell