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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

There is growing interest in a phenomenon called the ``synfire chain'', in which firings of neurons propagate from pool to pool in the chain. The mechanism of the synfire chain has been analyzed by many resarchers. Keeping the synfire chain…

Other Condensed Matter · Physics 2009-11-11 Michiko Yamana , Masato Okada

We study the collective dynamics of a Leaky Integrate and Fire network in which precise relative phase relationship of spikes among neurons are stored, as attractors of the dynamics, and selectively replayed at differentctime scales. Using…

Neurons and Cognition · Quantitative Biology 2012-10-26 Silvia Scarpetta , Ferdinando Giacco

Neuron is a noisy information processing unit and conventional view is that information in the cortex is carried on the rate of neurons spike emission. More recent studies on the activity propagation through the homogeneous network have…

Neurons and Cognition · Quantitative Biology 2007-05-23 Kosuke Hamaguchi , Masato Okada , Kazuyuki Aihara

Spiking Neural Networks (SNNs) have gained increasing attention as energy-efficient neural networks owing to their binary and asynchronous computation. However, their non-linear activation, that is Leaky-Integrate-and-Fire (LIF) neuron,…

Neural and Evolutionary Computing · Computer Science 2023-05-31 Youngeun Kim , Yuhang Li , Abhishek Moitra , Ruokai Yin , Priyadarshini Panda

We study the storage and retrieval of phase-coded patterns as stable dynamical attractors in recurrent neural networks, for both an analog and a integrate-and-fire spiking model. The synaptic strength is determined by a learning rule based…

Neurons and Cognition · Quantitative Biology 2010-09-08 S. Scarpetta , A. de Candia , F. Giacco

We study a simple extended model of oscillator neural networks capable of storing sparsely coded phase patterns, in which information is encoded both in the mean firing rate and in the timing of spikes. Applying the methods of statistical…

Disordered Systems and Neural Networks · Physics 2009-10-31 Masaki Nomura , Toshio Aoyagi

The speed of firing pattern propagation in a synfire chain, composed of non-leaky integrate-and-fire neurons, and assuming homogenous connection delays, is studied. An explicit relation, relating the propagation speed to the connecting…

Biological Physics · Physics 2007-05-23 Baktash Babadi

We investigate a recently proposed model for cortical computation which performs relational inference. It consists of several interconnected, structurally equivalent populations of leaky integrate-and-fire (LIF) neurons, which are trained…

Neural and Evolutionary Computing · Computer Science 2017-03-21 Johannes Thiele , Peter Diehl , Matthew Cook

Spiking Neural Networks (SNNs) use discrete spike sequences to transmit information, which significantly mimics the information transmission of the brain. Although this binarized form of representation dramatically enhances the energy…

Neural and Evolutionary Computing · Computer Science 2023-01-31 Guobin Shen , Dongcheng Zhao , Yi Zeng

Spiking Neural Networks (SNNs) capture the information processing mechanism of the brain by taking advantage of spiking neurons, such as the Leaky Integrate-and-Fire (LIF) model neuron, which incorporates temporal dynamics and transmits…

Neural and Evolutionary Computing · Computer Science 2024-01-18 Zexiang Yi , Jing Lian , Yunliang Qi , Zhaofei Yu , Huajin Tang , Yide Ma , Jizhao Liu

The activity of a sparse network of leaky integrate-and-fire neurons is carefully revisited with reference to a regime of a bona-fide asynchronous dynamics. The study is preceded by a finite-size scaling analysis, carried out to identify a…

Neurons and Cognition · Quantitative Biology 2020-05-06 Ekkehard Ullner , Antonio Politi , Alessandro Torcini

Dynamics and function of neuronal networks are determined by their synaptic connectivity. Current experimental methods to analyze synaptic network structure on the cellular level, however, cover only small fractions of functional neuronal…

Neurons and Cognition · Quantitative Biology 2015-07-28 Yury V. Zaytsev , Abigail Morrison , Moritz Deger

Dense Associative Memories or Modern Hopfield Networks have many appealing properties of associative memory. They can do pattern completion, store a large number of memories, and can be described using a recurrent neural network with a…

Neural and Evolutionary Computing · Computer Science 2021-07-29 Dmitry Krotov

We analyse the storage and retrieval capacity in a recurrent neural network of spiking integrate and fire neurons. In the model we distinguish between a learning mode, during which the synaptic connections change according to a Spike-Timing…

Neurons and Cognition · Quantitative Biology 2012-10-29 Ferdinando Giacco , Silvia Scarpetta

Attractor neural networks (ANNs) are one of the leading theoretical frameworks for the formation and retrieval of memories in networks of biological neurons. In this framework, a pattern imposed by external inputs to the network is said to…

Biological Physics · Physics 2022-05-25 Yu Feng , Nicolas Brunel

The spiking activity of single neurons can be well described by a nonlinear integrate-and-fire model that includes somatic adaptation. When exposed to fluctuating inputs sparsely coupled populations of these model neurons exhibit stochastic…

Neurons and Cognition · Quantitative Biology 2017-07-20 Moritz Augustin , Josef Ladenbauer , Fabian Baumann , Klaus Obermayer

Based upon the moment closure approach, a Gaussian random field is constructed to quantitatively and analytically characterize the dynamics of a random point field. The approach provides us with a theoretical tool to investigate…

Dynamical Systems · Mathematics 2022-04-08 Ning Hua , Xiangnan He , Wenlian Lu , Jianfeng Feng

Although recent neurophysiological experiments suggest that synchronous neural activity is involved in some perceptual and cognitive processes, the functional role of such coherent neuronal behavior is not well understood. As a first step…

Neurons and Cognition · Quantitative Biology 2007-05-23 Takaaki Aoki , Toshio Aoyagi

Striatal projection neurons form a sparsely-connected inhibitory network, and this arrangement may be essential for the appropriate temporal organization of behavior. Here we show that a simplified, sparse inhibitory network of…

Neurons and Cognition · Quantitative Biology 2016-06-29 David Angulo-Garcia , Joshua D. Berke , Alessandro Torcini
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