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In the absence of synaptic coupling, two or more neural oscillators may become synchronized by virtue of the statistical correlations in their noisy input streams. Recent work has shown that the degree of correlation transfer from input…

Dynamical Systems · Mathematics 2015-03-17 Aushra Abouzeid , Bard Ermentrout

According to the theory of efficient coding, sensory systems are adapted to represent natural scenes with high fidelity and at minimal metabolic cost. Testing this hypothesis for sensory structures performing non-linear computations on high…

Neurons and Cognition · Quantitative Biology 2018-04-13 Ulisse Ferrari , Christophe Gardella , Olivier Marre , Thierry Mora

Modeling neural population dynamics underlying noisy single-trial spiking activities is essential for relating neural observation and behavior. A recent non-recurrent method - Neural Data Transformers (NDT) - has shown great success in…

Neurons and Cognition · Quantitative Biology 2022-06-13 Trung Le , Eli Shlizerman

A population protocol describes a set of state change rules for a population of $n$ indistinguishable finite-state agents (automata), undergoing random pairwise interactions. Within this very basic framework, it is possible to resolve a…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-19 Adrian Kosowski , Przemysław Uznański

We show that the unavoidable increase in neuronal response latency to ongoing stimulation serves as a nonuniform gradual stretching of neuronal circuit delay loops and emerges as an essential mechanism in the formation of various types of…

Neurons and Cognition · Quantitative Biology 2012-12-07 Roni Vardi , Reut Timor , Shimon Marom , Moshe Abeles , Ido Kanter

Parallel recordings of neural spike counts have revealed the existence of context-dependent noise correlations in neural populations. Theories of population coding have also shown that such correlations can impact the information encoded by…

Machine Learning · Computer Science 2025-07-30 Sacha Sokoloski , Ruben Coen-Cagli

Given a population of interconnected input-output agents repeatedly exposed to independent random inputs, we talk of correlated variability when agents' outputs are variable (i.e., they change randomly at each input repetition) but…

Quantitative Methods · Quantitative Biology 2021-10-15 Marcela Ordorica Arango , Alessio Franci

In a generic neuron model, we present the linear response theory for the firing rate in response to both time dependent input currents and noise amplitudes. In both cases the signal transmission is strongly attenuated for frequencies above…

Biological Physics · Physics 2007-05-23 Bjoern Naundorf , Theo Geisel , Fred Wolf

A single neuron is known to generate almost identical spike trains when the same fluctuating input is repeatedly applied. Here, we study the reliability of spike firing in a pulse-coupled network of oscillator neurons receiving fluctuating…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 Jun-nosuke Teramae , Tomoki Fukai

Humans and animals exhibit a range of interesting behaviors in dynamic environments, and it is unclear how our brains actively reformat this dense sensory information to enable these behaviors. Experimental neuroscience is undergoing a…

Neurons and Cognition · Quantitative Biology 2023-11-07 Aran Nayebi

The theory of Balanced Neural Networks is a very popular explanation for the high degree of variability and stochasticity in the brain's activity. Roughly speaking, it entails that typical neurons receive many excitatory and inhibitory…

Probability · Mathematics 2025-05-27 James MacLaurin , Pedro Vilanova

Neural activity exhibits a vast range of timescales that can be several fold larger than the membrane time constant of individual neurons. Two types of mechanisms have been proposed to explain this conundrum. One possibility is that large…

Neurons and Cognition · Quantitative Biology 2019-03-26 Manuel Beiran , Srdjan Ostojic

Cortical neurons are bistable; as a consequence their local field potentials can fluctuate between quiescent and active states, generating slow 0.5-2 Hz oscillations which are widely known as transitions between Up and Down States. Despite…

Disordered Systems and Neural Networks · Physics 2015-06-05 Jorge Hidalgo , Luis F. Seoane , Jesus M. Cortes , Miguel A. Munoz

Neurons can code for multiple variables simultaneously and neuroscientists are often interested in classifying neurons based on their receptive field properties. Statistical models provide powerful tools for determining the factors…

Neurons and Cognition · Quantitative Biology 2022-10-28 Mehrad Sarmashghi , Shantanu P. Jadhav , Uri T. Eden

Simultaneous recordings from multiple neural units allow us to investigate the activity of very large neural ensembles. To understand how large ensembles of neurons process sensory information, it is necessary to develop suitable…

Neurons and Cognition · Quantitative Biology 2013-05-30 Fernando Montani , Elena Phoka , Mariela Portesi , Simon R. Schultz

The role of synchronous firing in sensory coding and cognition remains controversial. While studies, focusing on its mechanistic consequences in attentional tasks, suggest that synchronization dynamically boosts sensory processing, others…

Neurons and Cognition · Quantitative Biology 2019-05-07 Siavash Ghavami , Vahid Rahmati , Farshad Lahouti , Lars Schwabe

Biological systems represent time from microseconds to years. An important gap in our knowledge concerns the mechanisms for encoding time intervals of hundreds of milliseconds to minutes that matter for tasks like navigation, communication,…

Neurons and Cognition · Quantitative Biology 2025-05-22 Raphaël Lafond-Mercier , Leonard Maler , Avner Wallach , André Longtin

Response variability, as measured by fluctuating responses upon repeated performance of trials, is a major component of neural responses, and its characterization is key to interpret high dimensional population recordings. Response…

Neurons and Cognition · Quantitative Biology 2016-05-31 Mihály Bányai , Zsombor Koman , Gergő Orbán

We propose a new multivariate time series model in which we assume that each component has a tendency to revert to the minimum of all components. Such a specification is useful to describe phenomena where each member in a population which…

Applications · Statistics 2018-12-06 Torsten Kleinow , Michel Vellekoop

To be effective in sequential data processing, Recurrent Neural Networks (RNNs) are required to keep track of past events by creating memories. While the relation between memories and the network's hidden state dynamics was established over…

Machine Learning · Computer Science 2019-09-17 Doron Haviv , Alexander Rivkind , Omri Barak
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