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Related papers: Stochastic resonance in three-neuron motifs

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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…

Statistics Theory · Mathematics 2007-06-13 Stefano M. Iacus

We propose a stochastic dynamical model of noisy neural networks with complex architectures and discuss activation of neural networks by a stimulus, pacemakers and spontaneous activity. This model has a complex phase diagram with…

Disordered Systems and Neural Networks · Physics 2015-05-13 A. V. Goltsev , F. V. de Abreu , S. N. Dorogovtsev , J. F. F. Mendes

We present a simple dynamical model to address the question of introducing a stochastic nature in a time variable. This model includes noise in the time variable but not in the "space" variable, which is opposite to the normal description…

Computational Physics · Physics 2008-11-26 Toru Ohira

A stochastic model of excitatory and inhibitory interactions which bears universality traits is introduced and studied. The endogenous component of noise, stemming from finite size corrections, drives robust inter-nodes correlations, that…

Disordered Systems and Neural Networks · Physics 2017-08-16 Clement Zankoc , Duccio Fanelli , Francesco Ginelli , Roberto Livi

Effective stochastic resonance (SR) is numerically and analytically studied using a model with coupled two particles exposed to heterogeneous, i.e., particles dependent, amplitude of noise. Compared to previous SR models of single particle…

Statistical Mechanics · Physics 2010-04-28 Shogo Torigoe , Ryosuke Kawai , Kazuhiro Yoshida , Akinori Awazu , Hiraku Nishimori

Biological neural systems encode and transmit information as patterns of activity tracing complex trajectories in high-dimensional state-spaces, inspiring alternative paradigms of information processing. Heteroclinic networks, naturally…

Neurons and Cognition · Quantitative Biology 2021-10-26 Giovanni Sirio Carmantini , Fabio Schittler Neves , Marc Timme , Serafim Rodrigues

Noise is widely understood to be something that interferes with a signal or process. Thus, it is generally thought to be destructive, obscuring signals and interfering with function. However, early in the 20th century, mechanical engineers…

Biological Physics · Physics 2019-06-10 Steven Weinstein , Theodore P. Pavlic

Neurons and networks in the cerebral cortex must operate reliably despite multiple sources of noise. To evaluate the impact of both input and output noise, we determine the robustness of single-neuron stimulus selective responses, as well…

Neurons and Cognition · Quantitative Biology 2018-01-24 Ran Rubin , L. F. Abbott , Haim Sompolinsky

Recent advances in associative memory design through structured pattern sets and graph-based inference algorithms have allowed reliable learning and recall of an exponential number of patterns. Although these designs correct external errors…

Neural and Evolutionary Computing · Computer Science 2014-03-14 Amin Karbasi , Amir Hesam Salavati , Amin Shokrollahi , Lav R. Varshney

It is well known that the kinetics of an intracellular biochemical network is stochastic. This is due to intrinsic noise arising from the random timing of biochemical reactions in the network as well as due to extrinsic noise stemming from…

Subcellular Processes · Quantitative Biology 2019-06-05 Emma M. Keizer , Bjorn Bastian , Robert W. Smith , Ramon Grima , Christian Fleck

We analyze the phenomenon of stochastic resonance in an Ising-like system on a small-world network. The system, which is subject to the combined action of noise and an external modulation, can be interpreted as a stylized model of opinion…

Disordered Systems and Neural Networks · Physics 2009-11-07 Marcelo Kuperman , Damian Zanette

We determine conditions for the presence of stochastic resonance in a lossy bosonic channel with a nonlinear, threshold decoding. The stochastic resonance effect occurs if and only if the detection threshold is outside of a "forbidden…

Quantum Physics · Physics 2013-01-14 Cosmo Lupo , Stefano Mancini , Mark M. Wilde

Spectrum sensing is essential in cognitive radio to enable dynamic spectrum access. In many scenarios, primary user signal must be detected reliably in low signal-to-noise ratio (SNR) regime under required sensing time. We propose to use…

Information Theory · Computer Science 2009-06-04 Kun Zheng , Husheng Li , Seddik M. Djouadi , Jun Wang

There are certain classes of resistors, capacitors and inductors that, when subject to a periodic input of appropriate frequency, develop hysteresis loops in their characteristic response. Here, we show that the hysteresis of such memory…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Alexander Stotland , Massimiliano Di Ventra

We demonstrate the phenomenon of stochastic resonance (SR) for discrete-time dynamical systems. We investigate various systems that are not necessarily bistable, but do have two well defined states, switching between which is aided by…

chao-dyn · Physics 2009-10-30 Prashant M. Gade , Renuka Rai , Harjinder Singh

We analyze transport on a graph with multiple constraints and where the weight of the edges connecting the nodes is a dynamical variable. The network dynamics results from the interplay between a nonlinear function of the flow, dissipation,…

Statistical Mechanics · Physics 2023-11-28 Frederic Folz , Kurt Mehlhorn , Giovanna Morigi

Noise appears in the brain due to various sources, such as ionic channel fluctuations and synaptic events. They affect the activities of the brain and influence neuron action potentials. Stochastic differential equations have been used to…

Neurons and Cognition · Quantitative Biology 2020-06-01 P R Protachevicz , M S Santos , E G Seifert , E C Gabrick , F S Borges , R R Borges , J Trobia , J D Szezech , K C Iarosz , I L Caldas , C G Antonopoulos , Y Xu , R L Viana , A M Batista

In this paper I will review some basic aspects of the mechanism of stochastic resonance. Stochastic resonance was first introduced as a possible mechanism to explain long term climatic variation. Since then, there have been many…

Chaotic Dynamics · Physics 2017-08-23 Roberto Benzi

Motivated by recent studies of population coding in theoretical neuroscience, we examine the optimality of a recently described form of stochastic resonance known as suprathreshold stochastic resonance, which occurs in populations of noisy…

Statistical Mechanics · Physics 2007-07-02 Mark D. McDonnell , Nigel G. Stocks , Charles E. M. Pearce , Derek Abbott

Stabilization of non-stationary linear systems over noisy communication channels is considered. Stochastically stable sources, and unstable but noise-free or bounded-noise systems have been extensively studied in information theory and…

Information Theory · Computer Science 2012-05-07 Serdar Yüksel
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