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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

The effects of nonlocal and reflecting connectivity are investigated in coupled Leaky Integrate-and-Fire (LIF) elements, which assimilate the exchange of electrical signals between neurons. Earlier investigations have demonstrated that…

Pattern Formation and Solitons · Physics 2017-08-02 N. D. Tsigkri-DeSmedt , J. Hizanidis , E. Schoell , P. Hoevel , A. Provata

We study the dynamics of networks with inhibitory and excitatory leaky-integrate-and-fire neurons with short-term synaptic plasticity in the presence of depressive and facilitating mechanisms. The dynamics is analyzed by a Heterogeneous…

Disordered Systems and Neural Networks · Physics 2016-01-20 M. di Volo , R. Burioni , M. Casartelli , R. Livi , A. Vezzani

Spiking Neural Networks (SNNs) have emerged as energy-efficient alternatives to traditional artificial neural networks, leveraging asynchronous and biologically inspired neuron dynamics. Among existing neuron models, the Leaky…

Machine Learning · Computer Science 2025-10-08 Eric Jahns , Davi Moreno , Milan Stojkov , Michel A. Kinsy

Deep learning has achieved impressive prediction accuracies in a variety of scientific and industrial domains. However, the nested non-linear feature of deep learning makes the learning highly non-transparent, i.e., it is still unknown how…

Machine Learning · Computer Science 2020-10-26 Chan Li , Haiping Huang

We report about the main dynamical features of a model of leaky-integrate-and fire excitatory neurons with short term plasticity defined on random massive networks. We investigate the dynamics by a Heterogeneous Mean-Field formulation of…

Disordered Systems and Neural Networks · Physics 2015-06-22 Matteo di Volo , Raffaella Burioni , Mario Casartelli , Roberto Livi , Alessandro Vezzani

Controlling the flow and routing of data is a fundamental problem in many distributed networks, including transportation systems, integrated circuits, and the Internet. In the brain, synaptic plasticity rules have been discovered that…

Neural and Evolutionary Computing · Computer Science 2017-04-18 Jonathan Y. Suen , Saket Navlakha

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

Stochasticity and limited precision of synaptic weights in neural network models are key aspects of both biological and hardware modeling of learning processes. Here we show that a neural network model with stochastic binary weights…

Disordered Systems and Neural Networks · Physics 2018-07-04 Carlo Baldassi , Federica Gerace , Hilbert J. Kappen , Carlo Lucibello , Luca Saglietti , Enzo Tartaglione , Riccardo Zecchina

Spike correlations between neurons are ubiquitous in the cortex, but their role is at present not understood. Here we describe the firing response of a leaky integrate-and-fire neuron (LIF) when it receives a temporarily correlated input…

Neurons and Cognition · Quantitative Biology 2007-10-15 Ruben Moreno-Bote , Alfonso Renart , Nestor Parga

Spiking neural networks (SNNs) are promising brain-inspired energy-efficient models. Compared to conventional deep Artificial Neural Networks (ANNs), SNNs exhibit superior efficiency and capability to process temporal information. However,…

Neural and Evolutionary Computing · Computer Science 2025-02-20 Yulong Huang , Xiaopeng Lin , Hongwei Ren , Haotian Fu , Yue Zhou , Zunchang Liu , Biao Pan , Bojun Cheng

Recent years have seen significant progress in developing spiking neural networks (SNNs) as a potential solution to the energy challenges posed by conventional artificial neural networks (ANNs). However, our theoretical understanding of…

Machine Learning · Computer Science 2025-06-16 Duc Anh Nguyen , Ernesto Araya , Adalbert Fono , Gitta Kutyniok

Learning is based on synaptic plasticity, which affects and is driven by neural activity. Because pre- and postsynaptic spiking activity is shaped by randomness, the synaptic weights follow a stochastic process, requiring a probabilistic…

Neurons and Cognition · Quantitative Biology 2026-01-14 Jakob Stubenrauch , Naomi Auer , Richard Kempter , Benjamin Lindner

Spiking Neural Networks (SNNs) are valued for their ability to process spatio-temporal information efficiently, offering biological plausibility, low energy consumption, and compatibility with neuromorphic hardware. However, the commonly…

Neural and Evolutionary Computing · Computer Science 2025-02-18 Tianqing Zhang , Kairong Yu , Jian Zhang , Hongwei Wang

The means by which cortical neural networks are able to efficiently solve inference problems remains an open question in computational neuroscience. Recently, abstract models of Bayesian computation in neural circuits have been proposed,…

Neurons and Cognition · Quantitative Biology 2015-02-24 Dimitri Probst , Mihai A. Petrovici , Ilja Bytschok , Johannes Bill , Dejan Pecevski , Johannes Schemmel , Karlheinz Meier

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

Several experimental studies show the existence of leader neurons in population bursts of 2D living neural networks. A leader neuron is, basically, a neuron which fires at the beginning of a burst (respectively network spike) more often…

Biological Physics · Physics 2010-04-19 Cyrille Zbinden

A synfire chain is a simple neural network model which can propagate stable synchronous spikes called a pulse packet and widely researched. However how synfire chains coexist in one network remains to be elucidated. We have studied the…

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

Learning, especially rapid learning, is critical for survival. However, learning is hard: a large number of synaptic weights must be set based on noisy, often ambiguous, sensory information. In such a high-noise regime, keeping track of…

Neurons and Cognition · Quantitative Biology 2021-03-22 Laurence Aitchison , Jannes Jegminat , Jorge Aurelio Menendez , Jean-Pascal Pfister , Alex Pouget , Peter E. Latham

We study the mean-field limit of a model of biological neuron networks based on the so-called stochastic integrate-and-fire (IF) dynamics. Our approach allows to derive a continuous limit for the macroscopic behavior of the system, the…

Probability · Mathematics 2023-09-11 Pierre-Emmanuel Jabin , Datong Zhou