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Related papers: Robust modulation of integrate-and-fire models

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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

Because neuronal networks are intricate systems composed of interconnected neurons, their control poses challenges owing to their nonlinearity and complexity. In this paper, we propose a method to design control input to a neuronal network…

Systems and Control · Electrical Eng. & Systems 2023-09-08 Jumpei Aizawa , Masaki Ogura , Masanori Shimono , Naoki Wakamiya

This study concerns with the dynamics of a quantum neural network unit in order to examine the suitability of simple neural computing tasks. More specifically, we examine the dynamics of an interacting spin model chosen as a candidate of a…

Quantum Physics · Physics 2017-11-23 Deniz Türkpençe , Tahir Çetin Akıncı , Serhat Şeker

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

Mathematical models are an important tool for neuroscientists. During the last thirty years many papers have appeared on single neuron description and specifically on stochastic Integrate and Fire models. Analytical results have been proved…

Probability · Mathematics 2011-01-31 Laura Sacerdote , Maria Teresa Giraudo

Integrate-and-Fire (IF) is an idealized model of the spike-triggering mechanism of a biological neuron. It is used to realize the bio-inspired event-based principle of information processing in neuromorphic computing. We show that IF is…

Signal Processing · Electrical Eng. & Systems 2025-01-22 Bernhard A. Moser , Anna Werzi , Michael Lunglmayr

Collective oscillations and their suppression by external stimulation are analyzed in a large-scale neural network consisting of two interacting populations of excitatory and inhibitory quadratic integrate-and-fire neurons. In the limit of…

Neurons and Cognition · Quantitative Biology 2021-07-14 Kestutis Pyragas , Augustinas P. Fedaravičius , Tatjana Pyragienė

Collective dynamics of spiking networks of neurons has been of central interest to both computation neuroscience and network science. Over the past years a new generation of neural population models based on exact reductions (ER) of spiking…

Neurons and Cognition · Quantitative Biology 2023-10-24 Inês C. Guerreiro , Matteo di Volo , Boris Gutkin

We propose another integrate-and-fire model as a single neuron model. We study a globally coupled noisy integrate-and-fire model with inhibitory interaction using the Fokker-Planck equation and the Langevin equation, and find a reentrant…

Neurons and Cognition · Quantitative Biology 2009-11-11 H. Sakaguchi , S. Tobiishi

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

Efficient complex systems have a modular structure, but modularity does not guarantee robustness, because efficiency also requires an ingenious interplay of the interacting modular components. The human brain is the elemental paradigm of an…

Neurons and Cognition · Quantitative Biology 2022-06-08 Flaviano Morone , Kevin Roth , Byungjoon Min , H. Eugene Stanley , Hernán A. Makse

The Fitzhugh-Nagumo neuronal model is used to explore the influence of the electric field on thermosensitive neurons' dynamics. This study investigates how the electric field affects polarization modulation in cell media induced by changes…

Chaotic Dynamics · Physics 2025-02-13 Ediline L. F. Nguessap , Fernando F. Ferreira , Antonio C. Roque

The Network of Noisy Leaky Integrate and Fire (NNLIF) model describes the behavior of a neural network at mesoscopic level. It is one of the simplest self-contained mean-field models considered for that purpose. Even so, to study the…

Analysis of PDEs · Mathematics 2017-06-15 María J. Cáceres , Ricarda Schneider

Multimode fiber (MMF) imaging aided by machine learning holds promise for numerous applications, including medical endoscopy. A key challenge for this technology is the sensitivity of modal transmission characteristics to environmental…

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

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

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

Basic problems of the semiclassical microscopic modelling of strongly interactingsystems are discussed within the framework of Quantum Molecular Dynamics (QMD). This model allows to study the influence of several types of nucleonic…

Nuclear Theory · Physics 2014-11-18 C. Hartnack , Rajeev K. Puri , J. Aichelin , J. Konopka , S. A. Bass , H. Stoecker , W. Greiner

Concurrent estimation and control of robotic systems remains an ongoing challenge, where controllers rely on data extracted from states/parameters riddled with uncertainties and noises. Framework suitability hinges on task complexity and…

Robotics · Computer Science 2023-10-09 Reza Ahmadvand , Sarah Safura Sharif , Yaser Mike Banad

We present a detailed analysis of the dynamical regimes observed in a balanced network of identical Quadratic Integrate-and-Fire (QIF) neurons with a sparse connectivity for homogeneous and heterogeneous in-degree distribution. Depending on…

Neurons and Cognition · Quantitative Biology 2025-05-29 Matteo Di Volo , Marco Segneri , Denis Goldobin , Antonio Politi , Alessandro Torcini