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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…

Data Analysis, Statistics and Probability · Physics 2015-05-27 J. J. Torres , J. Marro , J. F. Mejias

In this paper, we examine the effects of correlated Gaussian noise on a two-dimensional neuronal network that is locally modeled by the Rulkov map. More precisely, we study the effects of the noise correlation on the variations of the mean…

Disordered Systems and Neural Networks · Physics 2010-09-23 Xiaojuan Sun , Matjaz Perc , Qishao Lu , Jürgen Kurths

We explore a few common models on how correlations affect information. The main model considered is the Shannon mutual information $I(S:R_1,\cdots, R_i)$ over distributions with marginals $P_{S,R_i}$ fixed for each $i$, with the analogy in…

Information Theory · Computer Science 2024-05-27 Ching-Peng Huang

Over the brief time intervals available for processing retinal output, roughly 50 to 300 msec, the number of extra spikes generated by individual ganglion cells can be quite variable. Here, computer-generated spike trains were used to…

Neurons and Cognition · Quantitative Biology 2007-09-14 Garrett T. Kenyon

While recent advances in next-generation neural mass models provide exact descriptions of densely coupled neural populations in the thermodynamic limit, populations in vivo remain strictly finite in size. Finite-size effects introduce…

Chaotic Dynamics · Physics 2026-05-19 S. Yu. Kirillov , O. A. Goryunov , J. Zhu , V. V. Klinshov

Neural populations encode information about their stimulus in a collective fashion, by joint activity patterns of spiking and silence. A full account of this mapping from stimulus to neural activity is given by the conditional probability…

Neurons and Cognition · Quantitative Biology 2013-06-14 Einat Granot-Atedgi , Gašper Tkačik , Ronen Segev , Elad Schneidman

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…

Neurons and Cognition · Quantitative Biology 2017-07-07 Ilja Bytschok , Dominik Dold , Johannes Schemmel , Karlheinz Meier , Mihai A. Petrovici

One of the primary goals of systems neuroscience is to relate the structure of neural circuits to their function, yet patterns of connectivity are difficult to establish when recording from large populations in behaving organisms. Many…

Machine Learning · Computer Science 2020-12-08 Anne Draelos , Eva A. Naumann , John M. Pearson

The co-occurrence of action potentials of pairs of neurons within short time intervals is known since long. Such synchronous events can appear time-locked to the behavior of an animal and also theoretical considerations argue for a…

Neurons and Cognition · Quantitative Biology 2022-05-17 Moritz Helias , Tom Tetzlaff , Markus Diesmann

Correlations in spike-train ensembles can seriously impair the encoding of information by their spatio-temporal structure. An inevitable source of correlation in finite neural networks is common presynaptic input to pairs of neurons. Recent…

Neurons and Cognition · Quantitative Biology 2015-06-04 Tom Tetzlaff , Moritz Helias , Gaute T. Einevoll , Markus Diesmann

A central question in neuroscience is to understand how noisy firing patterns are used to transmit information. Because neural spiking is noisy, spiking patterns are often quantified via pairwise correlations, or the probability that two…

Neurons and Cognition · Quantitative Biology 2017-05-29 Andrea K. Barreiro , Cheng Ly

To understand sensory coding, we must ask not only how much information neurons encode, but also what that information is about. This requires decomposing mutual information into contributions from individual stimuli and stimulus features:…

Neurons and Cognition · Quantitative Biology 2025-10-23 Steeve Laquitaine , Simone Azeglio , Carlo Paris , Ulisse Ferrari , Matthew Chalk

We describe how noise propagates through a network by calculating the variance of the outputs. Using stochastic calculus and dynamical systems theory, we study the network topologies that accentuate or alleviate the effect of random…

Molecular Networks · Quantitative Biology 2011-08-15 Dionysios Barmpoutis , Richard M. Murray

Most nervous systems encode information about stimuli in the responding activity of large neuronal networks. This activity often manifests itself as dynamically coordinated sequences of action potentials. Since multiple electrode recordings…

Neurons and Cognition · Quantitative Biology 2011-11-09 Kristina Lisa Klinkner , Cosma Rohilla Shalizi , Marcelo F. Camperi

In this paper, we investigate the impact of noise on a simplified trained convolutional network. The types of noise studied originate from a real optical implementation of a neural network, but we generalize these types to enhance the…

Adaptation and Self-Organizing Systems · Physics 2025-06-24 Ivan Kolesnikov , Nadezhda Semenova

A perturbative method is developed for calculating the effects of recurrent synaptic interactions between neurons embedded in a network. A series expansion is constructed that converges for networks with noisy membrane potential and weak…

Disordered Systems and Neural Networks · Physics 2009-11-10 Patrick D. Roberts

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

Plasticity is one of the most important properties of the nervous system, which enables animals to adjust their behavior to the ever-changing external environment. Changes in synaptic efficacy between neurons constitute one of the major…

Neurons and Cognition · Quantitative Biology 2018-01-23 Taishi Iwasaki , Hideitsu Hino , Masami Tatsuno , Shotaro Akaho , Noboru Murata

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…

Neurons and Cognition · Quantitative Biology 2009-06-04 Jorge F. Mejias , Joaquin J. Torres

Generalized linear models are one of the most efficient paradigms for predicting the correlated stochastic activity of neuronal networks in response to external stimuli, with applications in many brain areas. However, when dealing with…

Disordered Systems and Neural Networks · Physics 2020-11-17 Gabriel Mahuas , Giulio Isacchini , Olivier Marre , Ulisse Ferrari , Thierry Mora