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We study a reinforcement learning for temporal coding with neural network consisting of stochastic spiking neurons. In neural networks, information can be coded by characteristics of the timing of each neuronal firing, including the order…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Daichi Kimura , Yoshinori Hayakawa

We study the dynamics of the structure of a formal neural network wherein the strengths of the synapses are governed by spike-timing-dependent plasticity (STDP). For properly chosen input signals, there exists a steady state with a residual…

Neurons and Cognition · Quantitative Biology 2015-05-18 Quansheng Ren , Kiran M. Kolwankar , Areejit Samal , Jürgen Jost

In this work, we propose time-integrated spike-timing-dependent plasticity (TI-STDP), a mathematical model of synaptic plasticity that allows spiking neural networks to continuously adapt to sensory input streams in an unsupervised fashion.…

Neurons and Cognition · Quantitative Biology 2024-07-16 William Gebhardt , Alexander G. Ororbia

The comprehension of the mechanisms at the basis of the functioning of complexly interconnected networks represents one of the main goals of neuroscience. In this work, we investigate how the structure of recurrent connectivity influences…

Disordered Systems and Neural Networks · Physics 2019-05-14 Sungmin Hwang , Viola Folli , Enrico Lanza , Giorgio Parisi , Giancarlo Ruocco , Francesco Zamponi

Spiking neural networks (SNNs) possess energy-efficient potential due to event-based computation. However, supervised training of SNNs remains a challenge as spike activities are non-differentiable. Previous SNNs training methods can be…

Neural and Evolutionary Computing · Computer Science 2019-10-08 Yunzhe Hao , Xuhui Huang , Meng Dong , Bo Xu

A synfire chain is a network that can generate repeated spike patterns with millisecond precision. Although synfire chains with only one activity propagation mode have been intensively analyzed with several neuron models, those with several…

Neurons and Cognition · Quantitative Biology 2009-11-13 Kazuya Ishibashi , Kosuke Hamaguchi , Masato Okada

This paper suggests a learning-theoretic perspective on how synaptic plasticity benefits global brain functioning. We introduce a model, the selectron, that (i) arises as the fast time constant limit of leaky integrate-and-fire neurons…

Neurons and Cognition · Quantitative Biology 2012-09-26 David Balduzzi , Michel Besserve

We present a mathematical analysis of a networks with Integrate-and-Fire neurons and adaptive conductances. Taking into account the realistic fact that the spike time is only known within some \textit{finite} precision, we propose a model…

Biological Physics · Physics 2010-11-09 B. Cessac , T. Vieville

Thought to be responsible for memory, synaptic plasticity has been widely studied in the past few decades. One example of plasticity models is the popular Spike Timing Dependent Plasticity (STDP). The huge litterature of STDP models are…

Probability · Mathematics 2018-03-02 Pascal Helson

Rhythmic activity has been associated with a wide range of cognitive processes. Previous studies have shown that spike-timing-dependent plasticity can facilitate the transfer of rhythmic activity downstream the information processing…

Neurons and Cognition · Quantitative Biology 2020-09-09 Nimrod Sherf , Maoz Shamir

Short-term plasticity (STP) is a mechanism that stores decaying memories in synapses of the cerebral cortex. In computing practice, STP has been used, but mostly in the niche of spiking neurons, even though theory predicts that it is the…

Neural and Evolutionary Computing · Computer Science 2023-08-03 Hector Garcia Rodriguez , Qinghai Guo , Timoleon Moraitis

Spike-timing-dependent-plasticity (STDP) is an unsupervised learning algorithm for spiking neural network (SNN), which promises to achieve deeper understanding of human brain and more powerful artificial intelligence. While conventional…

Neural and Evolutionary Computing · Computer Science 2019-09-13 Xueyuan She , Yun Long , Saibal Mukhopadhyay

Networks of model neurons with balanced recurrent excitation and inhibition produce irregular and asynchronous spiking activity. We extend the analysis of balanced networks to include the known dependence of connection probability on the…

Neurons and Cognition · Quantitative Biology 2014-06-02 Robert Rosenbaum , Brent Doiron

We address the problem of identifying functional interactions among stochastic neurons with variable-length memory from their spiking activity. The neuronal network is modeled by a stochastic system of interacting point processes with…

Applications · Statistics 2025-07-01 Ricardo F. Ferreira , Matheus E. Pacola , Vitor G. Schiavone , Rodrigo F. O. Pena

Artificial Neural Networks (ANN) have gained significant popularity thanks to their ability to learn using the well-known backpropagation algorithm. Conversely, Spiking Neural Networks (SNNs), despite having broader capabilities than ANNs,…

Neural and Evolutionary Computing · Computer Science 2024-06-26 Sergio Davies , Andrew Gait , Andrew Rowley , Alessandro Di Nuovo

Understanding how recurrent neural circuits can learn to implement dynamical systems is a fundamental challenge in neuroscience. The credit assignment problem, i.e. determining the local contribution of each synapse to the network's global…

Neurons and Cognition · Quantitative Biology 2017-08-08 Alireza Alemi , Christian Machens , Sophie Denève , Jean-Jacques Slotine

The organization of neurons into functionally related assemblies is a fundamental feature of cortical networks, yet our understanding of how these assemblies maintain distinct identities while sharing members remains limited. Here we…

Neurons and Cognition · Quantitative Biology 2025-01-17 Xinruo Yang , Brent Doiron

We investigate spike-timing dependent plasticity (STPD) in the case of a synapse connecting two neural cells. We develop a theoretical analysis of several STDP rules using Markovian theory. In this context there are two different…

Neurons and Cognition · Quantitative Biology 2021-11-16 Philippe Robert , Gaëtan Vignoud

The brain has the phenomenal ability to reorganize itself by forming new connections among neurons and by pruning others. The so-called neural or brain plasticity facilitates the modification of brain structure and function over different…

Understanding of short-term synaptic depression (STSD) and other forms of synaptic plasticity is a topical problem in neuroscience. Here we study the role of STSD in the formation of complex patterns of brain rhythms. We use a cortical…

Disordered Systems and Neural Networks · Physics 2015-06-12 K. -E. Lee , A. V. Goltsev , M. A. Lopes , J. F. F. Mendes