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In contrast to the traditional principle of periodic sensing neuromorphic engineering pursues a paradigm shift towards bio-inspired event-based sensing, where events are primarily triggered by a change in the perceived stimulus. We show in…

Signal Processing · Electrical Eng. & Systems 2024-10-24 Bernhard A. Moser , Michael Lunglmayr

Stochastic integrate-and-fire (IF) neuron models have found widespread applications in computational neuroscience. Here we present results on the white-noise-driven perfect, leaky, and quadratic IF models, focusing on the spectral…

Neurons and Cognition · Quantitative Biology 2015-05-14 Rafael D. Vilela , Benjamin Lindner

Integrate-and-fire is a resource efficient time-encoding mechanism that summarizes into a signed spike train those time intervals where a signal's charge exceeds a certain threshold. We analyze the IF encoder in terms of a very general…

Functional Analysis · Mathematics 2026-01-15 Diana Carbajal , José Luis Romero

This paper proposes a methodology to extract a low-dimensional integrate-and-fire model from an arbitrarily detailed single-compartment biophysical model. The method aims at relating the modulation of maximal conductance parameters in the…

Neurons and Cognition · Quantitative Biology 2020-09-29 Tomas Van Pottelbergh , Guillaume Drion , Rodolphe Sepulchre

Up to now, modern Machine Learning is mainly based on fitting high dimensional functions to enormous data sets, taking advantage of huge hardware resources. We show that biologically inspired neuron models such as the…

Neural and Evolutionary Computing · Computer Science 2022-10-03 Richard C. Gerum , Achim Schilling

Enhancing power efficiency and performance in neuromorphic computing systems is critical for next-generation artificial intelligence applications. We propose the Nanoscale Side-contacted Field Effect Diode (S-FED), a novel solution that…

Hardware Architecture · Computer Science 2024-12-18 Seyedmohamadjavad Motaman , Sarah Sharif , Yaser Banad

Embedded systems acquire information about the real world from sensors and process it to make decisions and/or for transmission. In some situations, the relationship between the data and the decision is complex and/or the amount of data to…

Machine Learning · Computer Science 2021-06-29 Florian Bacho , Dominique Chu

The efficiency of the human brain in performing classification tasks has attracted considerable research interest in brain-inspired neuromorphic computing. Hardware implementations of a neuromorphic system aims to mimic the computations in…

Neural and Evolutionary Computing · Computer Science 2017-04-26 Akhilesh Jaiswal , Sourjya Roy , Gopalakrishnan Srinivasan , Kaushik Roy

Neuromorphic computing seeks to replicate the spiking dynamics of biological neurons for brain-inspired computation. While electronic implementations of artificial spiking neurons have dominated to date, photonic approaches are attracting…

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

In order to ease the analysis of error propagation in neuromorphic computing and to get a better understanding of spiking neural networks (SNN), we address the problem of mathematical analysis of SNNs as endomorphisms that map spike trains…

Neural and Evolutionary Computing · Computer Science 2024-02-09 Bernhard A. Moser , Michael Lunglmayr

Conventional sampling focuses on encoding and decoding bandlimited signals by recording signal amplitudes at known time points. Alternately, sampling can be approached using biologically-inspired schemes. Among these are integrate-and-fire…

Signal Processing · Electrical Eng. & Systems 2020-02-17 Karen Adam , Adam Scholefield , Martin Vetterli

We present a mathematical analysis of a networks with Integrate-and-Fire neurons and adaptive conductances. Taking into account the realistic fact that the spike time is only known within some \textit{finite} precision, we propose a model…

Biological Physics · Physics 2010-11-09 B. Cessac , T. Vieville

Neuromorphic computing offers an energy-efficient alternative to conventional deep learning accelerators for real-time time-series processing. However, many edge applications, such as wireless sensing and audio recognition, generate…

Machine Learning · Computer Science 2025-06-26 Dengyu Wu , Jiechen Chen , H. Vincent Poor , Bipin Rajendran , Osvaldo Simeone

We here investigate the well-posedness of a networked integrate-and-fire model describing an infinite population of neurons which interact with one another through their common statistical distribution. The interaction is of the…

Probability · Mathematics 2016-08-14 François Delarue , James Inglis , Sylvain Rubenthaler , Etienne Tanré

The leaky integrate and fire (LIF) neuron represents standard neuronal model used for numerical simulations. The leakage is implemented in the model as exponential decay of trans-membrane voltage towards its resting value. This makes…

Neurons and Cognition · Quantitative Biology 2015-05-26 A. K. Vidybida

One of the fundamental characteristics of a nonlinear system is how it transfers correlations in its inputs to correlations in its outputs. This is particularly important in the nervous system, where correlations between spiking neurons are…

Neurons and Cognition · Quantitative Biology 2013-05-29 Eric Shea-Brown , Kresimir Josic , Jaime de la Rocha , Brent Doiron

In spiking neural networks (SNN), at each node, an incoming sequence of weighted Dirac pulses is converted into an output sequence of weighted Dirac pulses by a leaky-integrate-and-fire (LIF) neuron model based on spike aggregation and…

Neural and Evolutionary Computing · Computer Science 2024-02-09 Bernhard A. Moser , Michael Lunglmayr

We study a system of perfect integrate-and-fire inhibitory neurons. It is a system of stochastic processes which interact through receiving an instantaneous increase at the moments they reach certain thresholds. In the absence of…

Probability · Mathematics 2018-09-25 Timofei Prasolov

Processing sensor data with spiking neural networks on digital neuromorphic chips requires converting continuous analog signals into spike pulses. Two strategies are promising for achieving low energy consumption and fast processing speeds…

Emerging Technologies · Computer Science 2023-10-04 Javier Lopez-Randulfe , Nico Reeb , Alois Knoll
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