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Some systems cannot be predicted by classical theories and it is required the development of combined deterministic and stochastic theories that make used of noise for dynamical prediction. Noise is not always an interfering signal which…

Adaptation and Self-Organizing Systems · Physics 2019-05-14 Alexandra Pinto Castellanos

Noise is an inherent part of neuronal dynamics, and thus of the brain. It can be observed in neuronal activity at different spatiotemporal scales, including in neuronal membrane potentials, local field potentials, electroencephalography,…

Neurons and Cognition · Quantitative Biology 2019-01-03 Daqing Guo , Matjaz Perc , Tiejun Liu , Dezhong Yao

Stochastic resonance is a non-linear phenomenon, in which the sensitivity of signal detectors can be enhanced by adding random noise to the detector input. Here, we demonstrate that noise can also improve the information flux in recurrent…

Neurons and Cognition · Quantitative Biology 2018-11-30 Patrick Krauss , Karin Prebeck , Achim Schilling , Claus Metzner

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…

Neural and Evolutionary Computing · Computer Science 2022-08-24 Egor Manuylovich , Diego Argüello Ron , Morteza Kamalian-Kopae , Sergei Turitsyn

Noise, traditionally considered a nuisance in computational systems, is reconsidered for its unexpected and counter-intuitive benefits across a wide spectrum of domains, including nonlinear information processing, signal processing, image…

Machine Learning · Computer Science 2024-10-10 Reyhaneh Abdolazimi , Shengmin Jin , Pramod K. Varshney , Reza Zafarani

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…

Biological Physics · Physics 2015-03-17 Michael J. Barber , Manfred L. Ristig

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…

Neurons and Cognition · Quantitative Biology 2007-05-23 Julien Mayor , Wulfram Gerstner

Stochastic resonance is a phenomenon in which noise enhances the response of a system to an input signal. The brain is an example of a system that has to detect and transmit signals in a noisy environment, suggesting that it is a good…

Neurons and Cognition · Quantitative Biology 2017-10-16 Bertha Vázquez-Rodríguez , Andrea Avena-Koenigsberger , Olaf Sporns , Alessandra Griffa , Patric Hagmann , Hernán Larralde

Stochasticity (or noise) at cellular and molecular levels has been observed extensively as a universal feature for living systems. However, how living systems deal with noise while performing desirable biological functions remains a major…

Molecular Networks · Quantitative Biology 2020-01-22 Qing Nie , Lingxia Qiao , Yuchi Qiu , Lei Zhang , Wei Zhao

Neural spikes in the brain form stochastic sequences, i.e., belong to the class of pulse noises. This stochasticity is a counterintuitive feature because extracting information - such as the commonly supposed neural information of mean…

Neural and Evolutionary Computing · Computer Science 2015-03-31 Laszlo B. Kish , Claes-Goran Granqvist , Sergey M. Bezrukov , Tamas Horvath

Cortical sensory neurons are known to be highly variable, in the sense that responses evoked by identical stimuli often change dramatically from trial to trial. The origin of this variability is uncertain, but it is usually interpreted as…

Neurons and Cognition · Quantitative Biology 2007-05-23 Gleb Basalyga , Emilio Salinas

Ecological, environmental and geophysical time series consistently exhibit the characteristics of coloured (1/f^\b{eta}) noise. Here we briefly survey the literature on coloured noise, population persistence and related evolutionary…

Populations and Evolution · Quantitative Biology 2022-04-07 Matt Grove , James M. Borg , Fiona Polack

To learn and reason in the presence of uncertainty, the brain must be capable of imposing some form of regularization. Here we suggest, through theoretical and computational arguments, that the combination of noise with synchronization…

Neurons and Cognition · Quantitative Biology 2013-12-06 Jake Bouvrie , Jean-Jacques Slotine

This paper has two messages. First, we demonstrate that neural networks that process noisy data can learn to exploit, when available, access to auxiliary noise that is correlated with the noise on the data. In effect, the network learns to…

Quantum Physics · Physics 2020-09-17 Aida Ahmadzadegan , Petar Simidzija , Ming Li , Achim Kempf

Chaos and Noise are ubiquitous in the Brain. Inspired by the chaotic firing of neurons and the constructive role of noise in neuronal models, we for the first time connect chaos, noise and learning. In this paper, we demonstrate Stochastic…

Neurons and Cognition · Quantitative Biology 2021-03-10 Harikrishnan NB , Nithin Nagaraj

In recent years, the hardware implementation of neural networks, leveraging physical coupling and analog neurons has substantially increased in relevance. Such nonlinear and complex physical networks provide significant advantages in speed…

Machine Learning · Computer Science 2024-12-05 Nadezhda Semenova , Daniel Brunner

In this paper we present a framework for investigating coloured noise in reaction-diffusion systems. We start by considering a deterministic reaction-diffusion equation and show how external forcing can cause temporally correlated or…

Quantitative Methods · Quantitative Biology 2018-12-03 Michael F Adamer , Heather A Harrington , Eamonn A Gaffney , Thomas E Woolley

Stochastic resonance describes the utility of noise in improving the detectability of weak signals in certain types of systems. It has been observed widely in natural and engineered settings, but its utility in image classification with…

Computer Vision and Pattern Recognition · Computer Science 2025-02-21 Siegfried Ludwig

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

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
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