Search Results - "Tamborrino, Massimiliano"
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Approximation of the first passage time density of a Wiener process to an exponentially decaying boundary by two-piecewise linear threshold. Application to neuronal spiking activity
Published in Mathematical biosciences and engineering : MBE (01-06-2016)“…The first passage time density of a diffusion process to a time varying threshold is of primary interest in different fields. Here, we consider a Brownian…”
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Spectral density-based and measure-preserving ABC for partially observed diffusion processes. An illustration on Hamiltonian SDEs
Published in Statistics and computing (2020)“…Approximate Bayesian computation (ABC) has become one of the major tools of likelihood-free statistical inference in complex mathematical models…”
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Predictions of COVID-19 dynamics in the UK: Short-term forecasting and analysis of potential exit strategies
Published in PLoS computational biology (22-01-2021)“…Efforts to suppress transmission of SARS-CoV-2 in the UK have seen non-pharmaceutical interventions being invoked. The most severe measures to date include all…”
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GParareal: a time-parallel ODE solver using Gaussian process emulation
Published in Statistics and computing (01-02-2023)“…Sequential numerical methods for integrating initial value problems (IVPs) can be prohibitively expensive when high numerical accuracy is required over the…”
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Special Issue: Neural Coding 2018
Published in Mathematical biosciences and engineering : MBE (12-09-2019)“…The special issue is available from: https://www.aimspress.com/newsinfo/1269.html…”
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Shot noise, weak convergence and diffusion approximations
Published in Physica. D (01-04-2021)“…Shot noise processes have been extensively studied due to their mathematical properties and their relevance in several applications. Here, we consider…”
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Guided Sequential ABC Schemes for Intractable Bayesian Models
Published in Bayesian analysis (01-01-2024)“…Sequential algorithms such as sequential importance sampling (SIS) and sequential Monte Carlo (SMC) have proven fundamental in Bayesian inference for models…”
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Inference for the stochastic FitzHugh-Nagumo model from real action potential data via approximate Bayesian computation
Published in Computational statistics & data analysis (01-04-2025)Get full text
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Inference for the stochastic FitzHugh-Nagumo model from real action potential data via approximate Bayesian computation
Published in Computational statistics & data analysis (28-05-2024)“…The stochastic FitzHugh-Nagumo (FHN) model considered here is a two-dimensional nonlinear stochastic differential equation with additive degenerate noise,…”
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A splitting method for SDEs with locally Lipschitz drift: Illustration on the FitzHugh-Nagumo model
Published in Applied numerical mathematics (01-09-2022)“…In this article, we construct and analyse an explicit numerical splitting method for a class of semi-linear stochastic differential equations (SDEs) with…”
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Qualitative properties of different numerical methods for the inhomogeneous geometric Brownian motion
Published in Journal of computational and applied mathematics (01-05-2022)“…We provide a comparative analysis of qualitative features of different numerical methods for the inhomogeneous geometric Brownian motion (IGBM). The limit…”
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First passage times of two-dimensional correlated processes: Analytical results for the Wiener process and a numerical method for diffusion processes
Published in Journal of computational and applied mathematics (01-04-2016)“…Given a two-dimensional correlated diffusion process, we determine the joint density of the first passage times of the process to some constant boundaries…”
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Inhibition enhances the coherence in the Jacobi neuronal model
Published in Chaos, solitons and fractals (01-11-2019)“…•The dependence of the noise in the Jacobi neuronal model on the rate of inhibition generates non trivial behavior of some measures of spike variability.•The…”
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Weak convergence of marked point processes generated by crossings of multivariate jump processes. Applications to neural network modeling
Published in Physica. D (15-11-2014)“…We consider the multivariate point process determined by the crossing times of the components of a multivariate jump process through a multivariate boundary,…”
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15
Detecting dependencies between spike trains of pairs of neurons through copulas
Published in Brain research (24-01-2012)“…Abstract The dynamics of a neuron are influenced by the connections with the network where it lies. Recorded spike trains exhibit patterns due to the…”
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A review of the methods for neuronal response latency estimation
Published in BioSystems (01-10-2015)“…Neuronal response latency is usually vaguely defined as the delay between the stimulus onset and the beginning of the response. It contains important…”
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Gaussian counter models for visual identification of briefly presented, mutually confusable single stimuli in pure accuracy tasks
Published in Journal of mathematical psychology (01-08-2017)“…When identifying confusable visual stimuli, accumulation of information over time is an obvious strategy of the observer. However, the nature of the…”
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Parameter inference from hitting times for perturbed Brownian motion
Published in Lifetime data analysis (01-07-2015)“…A latent internal process describes the state of some system, e.g. the social tension in a political conflict, the strength of an industrial component or the…”
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Leaky integrate and fire models coupled through copulas: association properties of the interspike intervals
Published in Chinese journal of physiology (31-12-2010)“…We propose a model able to describe the Interspike Intervals of two or more neurons subject to common inputs from the network. The single neuron dynamic is…”
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Guided sequential ABC schemes for intractable Bayesian models
Published 29-05-2024“…Bayesian Analysis 2024 Sequential algorithms such as sequential importance sampling (SIS) and sequential Monte Carlo (SMC) have proven fundamental in Bayesian…”
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