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The noisy leaky integrate-and-fire (NLIF) model describes the voltage configurations of neuron networks with an interacting many-particles system at a microscopic level. When simulating neuron networks of large sizes, computing a…

Numerical Analysis · Mathematics 2023-05-11 Ziyu Du , Yantong Xie , Zhennan Zhou

Spiking neural networks (SNNs) are brain-inspired machine learning algorithms with merits such as biological plausibility and unsupervised learning capability. Previous works have shown that converting Artificial Neural Networks (ANNs) into…

Neural and Evolutionary Computing · Computer Science 2022-07-12 Sijia Lu , Feng Xu

Spiking neural networks (SNNs) with leaky integrate and fire (LIF) neurons, can be operated in an event-driven manner and have internal states to retain information over time, providing opportunities for energy-efficient neuromorphic…

Neural and Evolutionary Computing · Computer Science 2021-09-07 Wachirawit Ponghiran , Kaushik Roy

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

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) 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) are largely inspired by biology and neuroscience and leverage ideas and theories to create fast and efficient learning systems. Spiking neuron models are adopted as core processing units in neuromorphic…

Neural and Evolutionary Computing · Computer Science 2023-02-16 Davide Liberato Manna , Alex Vicente Sola , Paul Kirkland , Trevor Bihl , Gaetano Di Caterina

Spintronics is an important emerging technology for data storage and computation. In this field, magnetic skyrmion-based devices are attractive due to their small size and energy consumption. However, controlling the creation, deletion and…

Materials Science · Physics 2022-05-31 Aijaz H. Lone , Selma Amara , Fernando Aguirre , Mario Lanza , H. Fariborzi

Artificial neural networks normally require precise weights to operate, despite their origins in biological systems, which can be highly variable and noisy. When implementing artificial networks which utilize analog 'synaptic' devices to…

Neural and Evolutionary Computing · Computer Science 2021-09-29 Wilkie Olin-Ammentorp , Karsten Beckmann , Catherine D. Schuman , James S. Plank , Nathaniel C. Cady

Spiking neural networks coupled with neuromorphic hardware and event-based sensors are getting increased interest for low-latency and low-power inference at the edge. However, multiple spiking neuron models have been proposed in the…

Neural and Evolutionary Computing · Computer Science 2022-11-16 Mohamed Sadek Bouanane , Dalila Cherifi , Elisabetta Chicca , Lyes Khacef

Spiking Neural Networks (SNNs) are noted for their brain-like computation and energy efficiency, but their performance lags behind Artificial Neural Networks (ANNs) in tasks like image classification and object detection due to the limited…

Neural and Evolutionary Computing · Computer Science 2025-06-09 Binghao Ye , Wenjuan Li , Dong Wang , Man Yao , Bing Li , Weiming Hu , Dong Liang , Kun Shang

Spiking neural networks (SNNs), inspired by the neural circuits of the brain, are promising in achieving high computational efficiency with biological fidelity. Nevertheless, it is quite difficult to optimize SNNs because the functional…

Neural and Evolutionary Computing · Computer Science 2025-01-28 Huifeng Yin , Hanle Zheng , Jiayi Mao , Siyuan Ding , Xing Liu , Mingkun Xu , Yifan Hu , Jing Pei , Lei Deng

There is a wide range of mathematical models that describe populations of large numbers of neurons. In this article, we focus on nonlinear noisy leaky integrate-and-fire (NNLIF) models that describe neuronal activity at the level of the…

Analysis of PDEs · Mathematics 2024-12-12 María J. Cáceres , José A. Cañizo , Alejandro Ramos-Lora

We present an array of leaky integrate-and-fire (LIF) neuron circuits designed for the second-generation BrainScaleS mixed-signal 65-nm CMOS neuromorphic hardware. The neuronal array is embedded in the analog network core of a scaled-down…

Neurons and Cognition · Quantitative Biology 2019-03-28 Syed Ahmed Aamir , Yannik Stradmann , Paul Müller , Christian Pehle , Andreas Hartel , Andreas Grübl , Johannes Schemmel , Karlheinz Meier

Probability density function of output interspike intervals is found in exact form for leaky integrate and fire neuron stimulated with Poisson stream. The diffusion approximation is not exploited.

Neurons and Cognition · Quantitative Biology 2015-12-31 A. K. Vidybida

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

We consider a single Leaky integrate-and-fire neuron stimulated with Poisson process. We develop a method, which allows one to obtain the first passage time probability density function without any additional approximations.

Neurons and Cognition · Quantitative Biology 2016-07-25 K. Kravchuk

Limitations in processing capabilities and memory of today's computers make spiking neuron-based (human) whole-brain simulations inevitably characterized by a compromise between bio-plausibility and computational cost. It translates into…

Neurons and Cognition · Quantitative Biology 2020-07-17 Gianluca Susi , Pilar Garces , Alessandro Cristini , Emanuele Paracone , Mario Salerno , Fernando Maestu , Ernesto Pereda

The computation performed by a neuron can be formulated as a combination of dimensional reduction in stimulus space and the nonlinearity inherent in a spiking output. White noise stimulus and reverse correlation (the spike-triggered average…

Biological Physics · Physics 2007-05-23 Blaise Aguera y Arcas , Adrienne Fairhall