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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

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

The combination of new recording techniques in neuroscience and powerful inference methods recently held the promise to recover useful effective models, at the single neuron or network level, directly from observed data. The value of a…

Neurons and Cognition · Quantitative Biology 2018-04-09 Cristiano Capone , Guido Gigante , Paolo Del Giudice

Various classes of neurons alternate between high-frequency discharges and silent intervals. This phenomenon is called burst firing. To analyze burst activity in an insect system, grasshopper auditory receptor neurons were recorded in vivo…

Neurons and Cognition · Quantitative Biology 2008-07-17 Hugo G. Eyherabide , Ariel Rokem , Andreas V. M. Herz , Ines Samengo

The Nonlinear Noisy Leaky Integrate and Fire (NNLIF) model is widely used to describe the dynamics of neural networks after a diffusive approximation of the mean-field limit of a stochastic differential equation system. When the total…

Analysis of PDEs · Mathematics 2018-06-07 María J. Cáceres , Pierre Roux , Delphine Salort , Ricarda Schneider

As a popular machine learning method, neural networks can be used to solve many complex tasks. Their strong generalization ability comes from the representation ability of the basic neuron model. The most popular neuron is the MP neuron,…

Machine Learning · Computer Science 2020-11-24 Junyi An , Fengshan Liu , Jian Zhao , Furao Shen

How spiking networks are able to perform probabilistic inference is an intriguing question, not only for understanding information processing in the brain, but also for transferring these computational principles to neuromorphic silicon…

Neurons and Cognition · Quantitative Biology 2017-07-12 Mihai A. Petrovici , Anna Schroeder , Oliver Breitwieser , Andreas Grübl , Johannes Schemmel , Karlheinz Meier

Spiking neural networks (SNNs) are posited as a computationally efficient and biologically plausible alternative to conventional neural architectures, with their core computational framework primarily using the leaky integrate-and-fire…

Neural and Evolutionary Computing · Computer Science 2025-03-18 Malyaban Bal , Abhronil Sengupta

It is commonly observed that deep networks trained for classification exhibit class-selective neurons in their early and intermediate layers. Intriguingly, recent studies have shown that these class-selective neurons can be ablated without…

Machine Learning · Computer Science 2023-05-30 Omkar Ranadive , Nikhil Thakurdesai , Ari S Morcos , Matthew Leavitt , Stéphane Deny

Several studies have shown that bursting neurons can encode information in the number of spikes per burst: As the stimulus varies, so does the length of individual bursts. The represented stimuli, however, vary substantially among different…

Neurons and Cognition · Quantitative Biology 2013-03-22 Inés Samengo , Germán Mato , Daniel H. Elijah , Susanne Schreiber , Marcelo A. Montemurro

Analytical expressions are put forward to investigate the forced spiking activity of abstract neuron models such as the driven leaky integrate-and-fire (LIF) model. The method is valid in a wide parameter regime beyond the restraining…

Neurons and Cognition · Quantitative Biology 2007-05-23 Michael Schindler , Peter Talkner , Peter Hänggi

$\textbf{Formal version available at}$ https://cell.com/patterns/fulltext/S2666-3899(23)00200-3 Networks of spiking neurons underpin the extraordinary information-processing capabilities of the brain and have become pillar models in…

Neural and Evolutionary Computing · Computer Science 2023-09-18 Gehua Ma , Rui Yan , Huajin Tang

Spiking neural networks offer low energy consumption due to their event-driven nature. Beyond binary spike outputs, their intrinsic floating-point dynamics merit greater attention. Neuronal threshold levels and reset modes critically…

Neural and Evolutionary Computing · Computer Science 2026-01-26 Zeyu Huang , Wei Meng , Quan Liu , Kun Chen , Li Ma

Long short-term memory (LSTM) has emerged as a definitive network for analyzing and inferring time series data. LSTM has the capability to extract spectral features and a mixture of temporal features. Due to this benefit, a similar feature…

Neural and Evolutionary Computing · Computer Science 2024-10-28 Ajay B S , Phani Pavan K , Madhav Rao

Various deep neural network (DNN) coverage criteria have been proposed to assess DNN test inputs and steer input mutations. The coverage is characterized via neurons having certain outputs, or the discrepancy between neuron outputs.…

Machine Learning · Computer Science 2022-12-19 Yuanyuan Yuan , Qi Pang , Shuai Wang

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

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

The adaptive leaky integrate-and-fire (ALIF) model is fundamental within computational neuroscience and has been instrumental in studying our brains $\textit{in silico}$. Due to the sequential nature of simulating these neural models, a…

Neural and Evolutionary Computing · Computer Science 2023-11-21 Luke Taylor , Andrew J King , Nicol S Harper

Neuronal network synchronization has received wide interests. Network connection structure is known to play a key role in its synchronization. In the present manuscript, we study the influence of initial membrane potentials together with…

Dynamical Systems · Mathematics 2021-12-14 Xiaoyue Wu , Congping lin , Yiwei Zhang

Generalized linear models are one of the most efficient paradigms for predicting the correlated stochastic activity of neuronal networks in response to external stimuli, with applications in many brain areas. However, when dealing with…

Disordered Systems and Neural Networks · Physics 2020-11-17 Gabriel Mahuas , Giulio Isacchini , Olivier Marre , Ulisse Ferrari , Thierry Mora