English
Related papers

Related papers: On Leaky-Integrate-and Fire as Spike-Train-Quantiz…

200 papers

Spiking neural networks (SNNs) are a promising paradigm for energy-efficient computation, yet their theoretical foundations-especially regarding stability and robustness-remain limited compared to artificial neural networks. In this work,…

Machine Learning · Computer Science 2025-11-25 Ernesto Araya , Massimiliano Datres , Gitta Kutyniok

Artificial neural networks (ANNs) have been extensively used for the description of problems arising from biological systems and for constructing neuromorphic computing models. The third generation of ANNs, namely, spiking neural networks…

Neurons and Cognition · Quantitative Biology 2022-06-18 Thi Kim Thoa Thieu , Roderick Melnik

Working memory (WM) has been intensively used to enable the temporary storing of information for processing purposes, playing an important role in the execution of various cognitive tasks. Recent studies have shown that information in WM is…

Neurons and Cognition · Quantitative Biology 2022-05-19 Thi Kim Thoa Thieu , Roderick Melnik

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

Brain-inspired neuromorphic computing is a promising path towards next generation analogue computers that are fundamentally different compared to the conventional von Neumann architecture. One model for neuromorphic computing that can mimic…

Disordered Systems and Neural Networks · Physics 2023-08-22 Verena Brehm , Johannes W. Austefjord , Serban Lepadatu , Alireza Qaiumzadeh

This work reports a transfer function-based approach to characterizing the operation of single neuronal cells in terms of the instantaneous frequency of the input and output signals. We adopt the leaky integrate-and-fire model. The transfer…

Neurons and Cognition · Quantitative Biology 2019-10-23 Felipe L. Gewers , Luciano da F. Costa

Implementations of spiking neural networks on neuromorphic hardware promise orders of magnitude less power consumption than their non-spiking counterparts. The standard neuron model for spike-based computation on such systems has long been…

Neural and Evolutionary Computing · Computer Science 2025-07-11 Maximilian Baronig , Romain Ferrand , Silvester Sabathiel , Robert Legenstein

Adaptive Local Iterative Filtering (ALIF) is a currently proposed novel time-frequency analysis tool. It has been empirically shown that ALIF is able to separate components and overcome the mode-mixing problem. However, so far its…

Numerical Analysis · Mathematics 2020-05-12 Antonio Cicone , Hau-Tieng Wu

Spintronic devices, such as the domain walls and skyrmions, have shown significant potential for applications in energy-efficient data storage and beyond CMOS computing architectures. In recent years, spiking neural networks have shown more…

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

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

Spiking Neural Networks (SNN) exhibit higher energy efficiency compared to Artificial Neural Networks (ANN) due to their unique spike-driven mechanism. Additionally, SNN possess a crucial characteristic, namely the ability to process…

Neural and Evolutionary Computing · Computer Science 2025-04-02 Huaxu He

In this work, we examine fundamental elements of spiking neural networks (SNNs) as well as how to tune them. Concretely, we focus on two different foundational neuronal units utilized in SNNs -- the leaky integrate-and-fire (LIF) and the…

Neural and Evolutionary Computing · Computer Science 2025-06-11 William Gebhardt , Alexander G. Ororbia , Nathan McDonald , Clare Thiem , Jack Lombardi

Nonlinear Noisy Leaky Integrate and Fire (NNLIF) models for neurons networks can be written as Fokker-Planck-Kolmogorov equations on the probability density of neurons, the main parameters in the model being the connectivity of the network…

Neurons and Cognition · Quantitative Biology 2010-10-25 María J. Cáceres , José A. Carrillo , Benoît Perthame

The effect of a temporally correlated afferent current on the firing rate of a leaky integrate-and-fire (LIF) neuron is studied. This current is characterized in terms of rates, auto and cross-correlations, and correlation time scale…

Disordered Systems and Neural Networks · Physics 2009-11-07 R. Moreno , J. de la Rocha , A. Renart , N. Parga

In this paper we characterize the distribution of the first exit time from an arbitrary open set for a class of semi-Markov processes obtained as time-changed Markov processes. We estimate the asymptotic behaviour of the survival function…

Probability · Mathematics 2019-03-05 Giacomo Ascione , Enrica Pirozzi , Bruno Toaldo

As the third generation of neural networks, spiking neural networks (SNNs) have recently gained widespread attention for their biological plausibility, energy efficiency, and effectiveness in processing neuromorphic datasets. To better…

Computer Vision and Pattern Recognition · Computer Science 2025-09-23 Yang Li , Xinyi Zeng , Zhe Xue , Pinxian Zeng , Zikai Zhang , Yan Wang

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) are promising candidates for low-power edge computing in domains such as wearable sensing and time-series analysis. A key neuronal parameter, the leaky time constant (LTC), governs temporal integration of…

Neural and Evolutionary Computing · Computer Science 2025-08-29 Chiu-Chang Cheng , Kapil Bhardwaj , Ya-Ning Chang , Sayani Majumdar , Chao-Hung Wang