Zobrazeno 1 - 10
of 110
pro vyhledávání: '"Petr Lansky"'
Publikováno v:
Frontiers in Computational Neuroscience, Vol 14 (2020)
The Fano factor, defined as the variance-to-mean ratio of spike counts in a time window, is often used to measure the variability of neuronal spike trains. However, despite its transparent definition, careless use of the Fano factor can easily lead t
Externí odkaz:
https://doaj.org/article/2e2ad3c55f0e49a38c0484b22ab772ff
Publikováno v:
PLoS ONE, Vol 6, Iss 7, p e21998 (2011)
During the stationary part of neuronal spiking response, the stimulus can be encoded in the firing rate, but also in the statistical structure of the interspike intervals. We propose and discuss two information-based measures of statistical dispersio
Externí odkaz:
https://doaj.org/article/7439ffd4bb524cc4a5c45b333d249dce
Publikováno v:
PLoS Computational Biology, Vol 4, Iss 4, p e1000053 (2008)
The concept of coding efficiency holds that sensory neurons are adapted, through both evolutionary and developmental processes, to the statistical characteristics of their natural stimulus. Encouraged by the successful invocation of this principle to
Externí odkaz:
https://doaj.org/article/4d8a596d5b9745d3afa7c36f3208a4fb
Interspike intervals describe the output of neurons. Signal transmission in a neuronal network implies that the output of some neurons becomes the input of others. The output should reproduce the main features of the input to avoid a distortion when
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9c38ba481f099ffa612618ff60e5ae3a
http://arxiv.org/abs/2206.12324
http://arxiv.org/abs/2206.12324
Publikováno v:
Bio Systems. 222
We present a comparison of the intrinsic saturation of firing frequency in four simple neural models: leaky integrate-and-fire model, leaky integrate-and-fire model with reversal potentials, two-point leaky integrate-and-fire model, and a two-point l
Publikováno v:
Chaos, Solitons & Fractals. 128:108-113
The output signal is examined for the Jacobi neuronal model which is characterized by input-dependent multiplicative noise. The dependence of the noise on the rate of inhibition turns out to be of primary importance to observe maxima both in the outp
Publikováno v:
Journal of Computational and Applied Mathematics. 406:113951
We provide a comparative analysis of qualitative features of different numerical methods for the inhomogeneous geometric Brownian motion (IGBM). The limit distribution of the IGBM exists, its conditional and asymptotic mean and variance are known and
Autor:
Petr Lansky, Massimiliano Tamborrino
Shot noise processes have been extensively studied due to their mathematical properties and their relevance in several applications. Here, we consider nonnegative shot noise processes and prove their weak convergence to L\'evy-driven Ornstein-Uhlenbe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b7dfe6981f68f92253199603908ef02f
Publikováno v:
Ditlevsen, S, Cencerrado Rubio, A & Lansky, P 2020, ' Transient dynamics of Pearson diffusions facilitates estimation of rate parameters ', Communications in Nonlinear Science and Numerical Simulation, vol. 82, 105034 . https://doi.org/10.1016/j.cnsns.2019.105034
Estimation of parameters in stochastic processes has been thoroughly investigated for decades and the asymptotic properties of the estimators are known. However, reaching the regime where the asymptotic properties are valid might require such a long
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c111482aef4d23a92ce9e07efc670204
https://curis.ku.dk/portal/da/publications/transient-dynamics-of-pearson-diffusions-facilitates-estimation-of-rate-parameters(c0987eb5-2e88-400d-a609-2ff5fe62f20f).html
https://curis.ku.dk/portal/da/publications/transient-dynamics-of-pearson-diffusions-facilitates-estimation-of-rate-parameters(c0987eb5-2e88-400d-a609-2ff5fe62f20f).html