Generalized leaky integrate-and-fire models classify multiple neuron types

C Teeter, R Iyer, V Menon, N Gouwens, D Feng… - Nature …, 2018 - nature.com
… Here we report on the point neuron modeling portion of the Allen Cell Types Database 1 .
In … random seed. We used noise 1 data to fit the model and noise 2 as “hold out” test data to …

Noisy threshold in neuronal models: connections with the noisy leaky integrate-and-fire model

G Dumont, J Henry, CO Tarniceriu - Journal of mathematical biology, 2016 - Springer
… in expressing the variability of firings that is modeled in the form of a hazard function… stochastic
threshold model and the corresponding AS system. We prove our main theoretical results

Statistics of a leaky integrate-and-fire model of neurons driven by dichotomous noise

R Mankin, N Lumi - Physical Review E, 2016 - APS
… a stochastic leaky integrate-and-fire model of neurons is considered. The effect of temporally
correlated random neuronal input is modeled … be useful for interpreting experimental data in …

Directed information between connected leaky integrate-and-fire neurons

N Soltani, AJ Goldsmith - IEEE Transactions on Information …, 2017 - ieeexplore.ieee.org
… and identically distributed random spike train inputs, which … It is well known that there are
many different types of neurons, … Our results give experimental neuroscientists who estimate …

A theoretical connection between the noisy leaky integrate-and-fire and the escape rate models: the non-autonomous case

G Dumont, J Henry, CO Tarniceriu - Mathematical Modelling of …, 2020 - mmnp-journal.org
… view upon the two stochastic processes mostly used in … in models in order to reproduce
the experimentally observed … In this classification, external noise stands for the sources of …

The stochastic Fitzhugh–Nagumo neuron model in the excitable regime embeds a leaky integrate-and-fire model

ME Yamakou, TD Tran, LH Duc, J Jost - Journal of mathematical biology, 2019 - Springer
types of noises, we prove that there exists a global random … biological neuron models and
also in experimental preparations. … This behavior is modeled by a simple 1D equation together …

Linear leaky-integrate-and-fire neuron model based spiking neural networks and its mapping relationship to deep neural networks

S Lu, F Xu - Frontiers in neuroscience, 2022 - frontiersin.org
… output, the classification accuracy of the test dataset, and the … to the classification layer (of
2 neurons) through the ReLU … Take the output of ANN as the label of test data, classification

A leaky integrate and fire model for spike generation in a neuron with variable threshold and multiple‐input–single‐output configuration

C Ganguly, S Chakrabarti - Transactions on Emerging …, 2019 - Wiley Online Library
Random amplitudes and delays of excitatory PSPs have … An experiment have also been
performed in vivo in pyramidal … based on the types of neurotransmitters, types of receptors at …

Integration of leaky-integrate-and-fire neurons in standard machine learning architectures to generate hybrid networks: A surrogate gradient approach

RC Gerum, A Schilling - Neural Computation, 2021 - direct.mit.edu
… to classify standard image data sets. We provide a KERAS package (https://github.com/rgerum/tf_spiking)
that can be used to integrate LIF unit … of the test accuracy (early stopping). The …

Investigating the integrate and fire model as the limit of a random discharge model: a stochastic analysis perspective

JG Liu, Z Wang, Y Xie, Y Zhang… - Mathematical …, 2021 - mna.episciences.org
… network is modeled as a diffusion-jump stochastic process … models is the noisy leaky
integrate and fire (LIF) model [35], … In Section 4, we investigate using numerical experiments the …