English
Related papers

Related papers: Integrate-and-Fire from a Mathematical and Signal …

200 papers

We study a class of planar integrate and fire (IF) models called adaptive integrate and fire (AIF) models, which possesses an adaptation variable on top of membrane potential, and whose subthreshold dynamics is piecewise linear (PWL). These…

Dynamical Systems · Mathematics 2021-02-01 Mathieu Desroches , Piotr Kowalczyk , Serafim Rodrigues

The effectiveness of data-driven techniques significantly relies on the input signal used to generate the training data. Nevertheless, there is a notable gap in research when it comes to designing excitation signals for identifying…

Systems and Control · Electrical Eng. & Systems 2024-10-02 Max Heinz Herkersdorf , Tarek Koesters , Oliver Nelles

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

We investigate how the activation function can be used to describe neural firing in an abstract way, and in turn, why it works well in artificial neural networks. We discuss how a spike in a biological neurone belongs to a particular…

Neurons and Cognition · Quantitative Biology 2022-12-27 Dalton A R Sakthivadivel

Neuromorphic computing offers a pathway toward energy-efficient processing of data, yet hardware platforms combining nanoscale integration and multimodal functionality remain scarce. Here we demonstrate a gallium-phosphide…

Neuromorphic computing is an emerging technology that support event-driven data processing for applications requiring efficient online inference and/or control. Recent work has introduced the concept of neuromorphic communications, whereby…

Signal Processing · Electrical Eng. & Systems 2022-12-21 Jiechen Chen , Nicolas Skatchkovsky , Osvaldo Simeone

We train spiking deep networks using leaky integrate-and-fire (LIF) neurons, and achieve state-of-the-art results for spiking networks on the CIFAR-10 and MNIST datasets. This demonstrates that biologically-plausible spiking LIF neurons can…

Machine Learning · Computer Science 2015-10-30 Eric Hunsberger , Chris Eliasmith

Spiking neural networks (SNNs) offer biologically inspired computation but remain underexplored for continuous regression tasks in scientific machine learning. In this work, we introduce and systematically evaluate Quadratic…

Neural and Evolutionary Computing · Computer Science 2025-11-11 Ruyin Wan , George Em Karniadakis , Panos Stinis

We explore the dynamics of an integrate-and-fire neuron with an oscillatory stimulus. The frustration due to the competition between the neuron's natural firing period and that of the oscillatory rhythm, leads to a rich structure of…

Statistical Mechanics · Physics 2013-05-29 Jan R. Engelbrecht , Renato Mirollo

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

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

Leaky integrate-and-fire (LIF) networks are standard reduced models for spike-based neural dynamics and a natural substrate for neuromorphic computation. We study time-driven Euler--Maruyama simulation of current-based LIF networks with…

Numerical Analysis · Mathematics 2026-04-02 Xu'an Dou , Frank Chen , Kevin K Lin , Zhuo-Cheng Xiao

Inference in both brains and machines can be formalized by optimizing a shared objective: maximizing the evidence lower bound (ELBO) in machine learning, or minimizing variational free energy (F) in neuroscience (ELBO = -F). While this…

Artificial Intelligence · Computer Science 2025-10-27 Hadi Vafaii , Dekel Galor , Jacob L. Yates

Spiking Neural Networks (SNNs), inspired by the brain, are characterized by minimal power consumption and swift inference capabilities on neuromorphic hardware, and have been widely applied to various visual perception tasks. Current…

Computer Vision and Pattern Recognition · Computer Science 2025-09-10 Chengjun Zhang , Yuhao Zhang , Jie Yang , Mohamad Sawan

We describe a method to train spiking deep networks that can be run using leaky integrate-and-fire (LIF) neurons, achieving state-of-the-art results for spiking LIF networks on five datasets, including the large ImageNet ILSVRC-2012…

Neural and Evolutionary Computing · Computer Science 2016-11-17 Eric Hunsberger , Chris Eliasmith

Integrated sensing and communication (ISAC) is a promising solution to accelerate edge inference via the dual use of wireless signals. However, this paradigm needs to minimize the inference error and latency under ISAC co-functionality…

Signal Processing · Electrical Eng. & Systems 2024-04-17 Xibin Jin , Guoliang Li , Shuai Wang , Miaowen Wen , Chengzhong Xu , H. Vincent Poor

The quadratic adaptive integrate-and-fire model (Izhikecih 2003, 2007) is recognized as very interesting for its computational efficiency and its ability to reproduce many behaviors observed in cortical neurons. For this reason it is…

Dynamical Systems · Mathematics 2012-11-07 Jonathan Touboul

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

In this paper, we introduce a novel self-calibrating integrate-and-fire time encoding machine (S-IF-TEM) that enables simultaneous parameter estimation and signal reconstruction during sampling, thereby effectively mitigating mismatch…

Signal Processing · Electrical Eng. & Systems 2025-09-16 Maya Mekel , Vered Karp , Satish Mulleti , Alejandro Cohen

While spike timing has been shown to carry detailed stimulus information at the sensory periphery, its possible role in network computation is less clear. Most models of computation by neural networks are based on population firing rates.…

Neurons and Cognition · Quantitative Biology 2015-07-17 Michael A. Schwemmer , Adrienne L. Fairhall , Sophie Denéve , Eric T. Shea-Brown