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In neuromorphic computing, artificial synapses provide a multi-weight conductance state that is set based on inputs from neurons, analogous to the brain. Additional properties of the synapse beyond multiple weights can be needed, and can…

In awake animals, the activity of the cerebral cortex is highly complex, with neurons firing irregularly with apparent Poisson statistics. One way to characterize this complexity is to take advantage of the high interconnectivity of…

Neurons and Cognition · Quantitative Biology 2009-04-29 Martin Pospischil , Zuzanna Piwkowska , Thierry Bal , Alain Destexhe

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

In this paper we address the question of statistical model selection for a class of stochastic models of biological neural nets. Models in this class are systems of interacting chains with memory of variable length. Each chain describes the…

Statistics Theory · Mathematics 2018-12-19 A. Duarte , A. Galves , E. Löcherbach , G. Ost

Synapse plays an important role of learning in a neural network; the learning rules which modify the synaptic strength based on the timing difference between the pre- and post-synaptic spike occurrence is termed as Spike Time Dependent…

Neural and Evolutionary Computing · Computer Science 2015-12-31 Roshan Gopalakrishnan , Arindam Basu

The basic units in our brain are neurons and each neuron has more than 1000 synapse connections. Synapse is the basic structure for information transfer in an ever-changing manner, and short-term plasticity allows synapses to perform…

Materials Science · Physics 2014-03-05 Li Qiang Zhu , Chang Jin Wan , Li Qiang Guo , Yi Shi , Qing Wan

Spiking neural networks (SNNs) have garnered interest due to their energy efficiency and superior effectiveness on neuromorphic chips compared with traditional artificial neural networks (ANNs). One of the mainstream approaches to…

Neural and Evolutionary Computing · Computer Science 2024-04-29 Zhipeng Huang , Jianhao Ding , Zhiyu Pan , Haoran Li , Ying Fang , Zhaofei Yu , Jian K. Liu

The task of learning a diffusion-based neural sampler for drawing samples from an unnormalized target distribution can be viewed as a stochastic optimal control problem on path measures. However, the training of neural samplers can be…

Machine Learning · Computer Science 2026-05-20 Wei Guo , Jaemoo Choi , Yuchen Zhu , Molei Tao , Yongxin Chen

The spectacular successes of recurrent neural network models where key parameters are adjusted via backpropagation-based gradient descent have inspired much thought as to how biological neuronal networks might solve the corresponding…

Neurons and Cognition · Quantitative Biology 2023-01-18 Yuhan Helena Liu , Stephen Smith , Stefan Mihalas , Eric Shea-Brown , Uygar Sümbül

Generic simulation code for spiking neuronal networks spends the major part of time in the phase where spikes have arrived at a compute node and need to be delivered to their target neurons. These spikes were emitted over the last interval…

Neurons and Cognition · Quantitative Biology 2022-03-14 Jari Pronold , Jakob Jordan , Brian J. N. Wylie , Itaru Kitayama , Markus Diesmann , Susanne Kunkel

Neuronal circuits internally regulate electrical signaling via a host of homeostatic mechanisms. Two prominent mechanisms, synaptic scaling and structural plasticity, are believed to maintain average activity within an operating range by…

Neurons and Cognition · Quantitative Biology 2021-04-07 Saeed Aljaberi , Timothy O'Leary , Fulvio Forni

We study a stochastic system of interacting neurons and its metastable properties. The system consists of $N$ neurons, each spiking randomly with rate depending on its membrane potential. At its spiking time, the neuron potential is reset…

Probability · Mathematics 2020-12-09 Eva Löcherbach , Pierre Monmarché

Characterizing the relation between weight structure and input/output statistics is fundamental for understanding the computational capabilities of neural circuits. In this work, I study the problem of storing associations between analog…

Neurons and Cognition · Quantitative Biology 2021-01-27 Alessandro Ingrosso

Intracellular recordings of cortical neurons in vivo display intense subthreshold membrane potential (Vm) activity. The power spectral density (PSD) of the Vm displays a power-law structure at high frequencies (>50 Hz) with a slope of about…

Neurons and Cognition · Quantitative Biology 2009-11-13 Claude Bedard , Alain Destexhe

Recent studies have proposed that the diffusion of messenger molecules, such as monoamines, can mediate the plastic adaptation of synapses in supervised learning of neural networks. Based on these findings we developed a model for neural…

Neurons and Cognition · Quantitative Biology 2017-09-21 Damian L. Berger , Lucilla de Arcangelis , Hans J. Herrmann

The steady-state firing rate and firing-rate response of the leaky and exponential integrate-and-fire models receiving synaptic shot noise with excitatory and inhibitory reversal potentials is examined. For the particular case where the…

Neurons and Cognition · Quantitative Biology 2024-03-13 Magnus J E Richardson

Message passing between components of a distributed physical system is non-instantaneous and contributes to determine the time scales of the emerging collective dynamics like an effective inertia. In biological neuron networks this inertia…

Neurons and Cognition · Quantitative Biology 2019-10-15 Matteo Biggio , Marco Storace , Maurizio Mattia

To learn useful dynamics on long time scales, neurons must use plasticity rules that account for long-term, circuit-wide effects of synaptic changes. In other words, neural circuits must solve a credit assignment problem to appropriately…

Neurons and Cognition · Quantitative Biology 2019-05-30 Owen Marschall , Kyunghyun Cho , Cristina Savin

Spike-Timing Dependent Plasticity (STDP) is believed to play an important role in learning and the formation of computational function in the brain. The classical model of STDP which considers the timing between pairs of pre-synaptic and…

Neural and Evolutionary Computing · Computer Science 2013-03-21 Mostafa Rahimi Azghadi , Said Al-Sarawi , Nicolangelo Iannella , Derek Abbott

Astrocytes affect neural transmission by a tight control via glutamate transporters on glutamate concentrations in direct vicinity to the synaptic cleft and by extracellular glutamate. Their relevance for information representation has been…

Neurons and Cognition · Quantitative Biology 2017-01-31 Konstantin Mergenthaler , Franziska Oschmann , Jeremy Petravicz , Dipanjan Roy , Mriganka Sur , Klaus Obermayer
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