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Variability in neural responses is an ubiquitous phenomenon in neurons, usually modeled with stochastic differential equations. In particular, stochastic integrate-and-fire models are widely used to simplify theoretical studies. The…

Neurons and Cognition · Quantitative Biology 2009-06-12 Eugenio Urdapilleta , Ines Samengo

In this paper, the hardware implementation of a neuromorphic system is presented. This system is composed of a Leaky Integrate-and-Fire with Latency (LIFL) neuron and a Spike-Timing Dependent Plasticity (STDP) synapse. LIFL neuron model…

In the rapidly advancing field of neuromorphic computing, integrating biologically-inspired models like the Leaky Integrate-and-Fire Astrocyte (LIFA) into spiking neural networks (SNNs) enhances system robustness and performance. This paper…

Neural and Evolutionary Computing · Computer Science 2025-03-03 Aybars Yunusoglu , Dexter Le , Murat Isik , I. Can Dikmen , Teoman Karadag

We have investigated the weak antilocalization (WAL) in the pressurized Dirac semimetal $\alpha$-(BEDT-TTF)$_2$I$_3$ across a correlation-driven quantum phase transition to a charge-ordered insulating state and evaluated the phase coherence…

Spiking neural network (SNN) is interesting due to its strong bio-plausibility and high energy efficiency. However, its performance is falling far behind conventional deep neural networks (DNNs). In this paper, considering a general class…

Machine Learning · Computer Science 2020-10-16 Shibo Zhou , Xiaohua Li

We put forward a model of action-based randomization mechanisms to analyse quantitative information flow (QIF) under generic leakage functions, and under possibly adaptive adversaries. This model subsumes many of the QIF models proposed so…

Logic in Computer Science · Computer Science 2019-03-14 M. Boreale , Francesca Pampaloni

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

In mathematical biology and the theory of electric networks the firing map of an integrate-and-fire system is a notion of importance. In order to prove useful properties of this map authors of previous papers assumed that the stimulus…

Dynamical Systems · Mathematics 2011-06-17 W. Marzantowicz , J. Signerska

Integrate-and-fire (IF) neurons have found widespread applications in computational neuroscience. Particularly important are stochastic versions of these models where the driving consists of a synaptic input modeled as white Gaussian noise…

Neurons and Cognition · Quantitative Biology 2009-12-15 Rafael D. Vilela , Benjamin Lindner

Spiking neural networks (SNNs) promise low-power event-driven computation for temporally rich tasks, but commonly used neuron models often trade off gradient-based trainability, dynamical richness, and high activity sparsity. These…

Neural and Evolutionary Computing · Computer Science 2026-05-13 Alex Fulleda-Garcia , Saray Soldado-Magraner , Josep Maria Margarit-Taulé

In this work, we are concerned with a Fokker-Planck equation related to the nonlinear noisy leaky integrate-and-fire model for biological neural networks which are structured by the synaptic weights and equipped with the Hebbian learning…

Numerical Analysis · Mathematics 2022-06-28 Qing He , Jingwei Hu , Zhennan Zhou

We consider the problem of recovering a linear combination of Dirac delta functions and derivatives from a finite number of Fourier samples corrupted by noise. This is a generalized version of the well-known spike recovery problem, which is…

Numerical Analysis · Mathematics 2016-10-13 Dmitry Batenkov

Compared with rate-based artificial neural networks, Spiking Neural Networks (SNN) provide a more biological plausible model for the brain. But how they perform supervised learning remains elusive. Inspired by recent works of Bengio et al.,…

Neural and Evolutionary Computing · Computer Science 2022-03-08 Zhanhao Hu , Tao Wang , Xiaolin Hu

Recently, Multilayer Perceptron (MLP) becomes the hotspot in the field of computer vision tasks. Without inductive bias, MLPs perform well on feature extraction and achieve amazing results. However, due to the simplicity of their…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Wenshuo Li , Hanting Chen , Jianyuan Guo , Ziyang Zhang , Yunhe Wang

The Self-Excited Loop (SEL) architecture, used in some continuous-wave (CW) superconducting linacs, relies on a positive feedback mechanism that requires carefully defined operating limits to ensure stable operation. These limits are…

Accelerator Physics · Physics 2025-10-22 S. Raman , P. Varghese , L. Reyes , M. Guran , L. Doolittle , S. Murthy , Q. Du

In the mean field integrate-and-fire model, the dynamics of a typical neuron within a large network is modeled as a diffusion-jump stochastic process whose jump takes place once the voltage reaches a threshold. In this work, the main goal…

Probability · Mathematics 2021-02-19 Jian-Guo Liu , Ziheng Wang , Yantong Xie , Yuan Zhang , Zhennan Zhou

In the mean field integrate-and-fire model, the dynamics of a typical neuron within a large network is modeled as a diffusion-jump stochastic process whose jump takes place once the voltage reaches a threshold. In this work, the main goal…

Probability · Mathematics 2023-06-22 Jian-Guo Liu , Ziheng Wang , Yantong Xie , Yuan Zhang , Zhennan Zhou

In recent years, Deep Convolutional Neural Networks (DCNNs) have outreached the performance of classical algorithms for image restoration tasks. However most of these methods are not suited for computational efficiency and are therefore too…

Computer Vision and Pattern Recognition · Computer Science 2023-05-23 Andrea Castagnetti , Alain Pegatoquet , Benoît Miramond

We study in this paper the effect of an unique initial stimulation on random recurrent networks of leaky integrate and fire neurons. Indeed given a stochastic connectivity this so-called spontaneous mode exhibits various non trivial…

Neural and Evolutionary Computing · Computer Science 2007-05-23 H. Soula , G. Beslon , O. Mazet

Dirac's ket-bra formalism is the "language" of quantum mechanics and quantum field theory. In Refs.(Fan et al, Ann. Phys. 321 (2006) 480; 323 (2008) 500) we have reviewed how to apply Newton-Leibniz integration rules to Dirac's ket-bra…

Quantum Physics · Physics 2009-10-16 Hong-yi Fan , Hong-chun Yuan
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