Parametric estimation of spike train statistics
نویسندگان
چکیده
منابع مشابه
Entropy-based parametric estimation of spike train statistics
We propose a generalisation of the existing maximum entropy models used for spike trains statistics analysis, based on the thermodynamic formalism from ergodic theory, and allowing one to take into account memory effects in dynamics. We propose a spectral method which provides directly the “free-energy” density and the Kullback-Leibler divergence between the empirical statistics and the statist...
متن کاملSpike train statistics and Gibbs distributions.
This paper is based on a lecture given in the LACONEU summer school, Valparaiso, January 2012. We introduce Gibbs distribution in a general setting, including non stationary dynamics, and present then three examples of such Gibbs distributions, in the context of neural networks spike train statistics: (i) maximum entropy model with spatio-temporal constraints; (ii) generalized linear models; an...
متن کاملRate-adjusted spike–LFP coherence comparisons from spike-train statistics
Coherence is a fundamental tool in the analysis of neuronal data and for studying multiscale interactions of single and multiunit spikes with local field potentials. However, when the coherence is used to estimate rhythmic synchrony between spiking and any other time series, the magnitude of the coherence is dependent upon the spike rate. This property is not a statistical bias, but a feature o...
متن کاملBayesian entropy estimation for binary spike train data using parametric prior knowledge
Shannon’s entropy is a basic quantity in information theory, and a fundamental building block for the analysis of neural codes. Estimating the entropy of a discrete distribution from samples is an important and difficult problem that has received considerable attention in statistics and theoretical neuroscience. However, neural responses have characteristic statistical structure that generic en...
متن کاملThe spike train statistics for consonant and dissonant musical accords
Abstract The simple system composed of three neural-like noisy elements is considered. Two of them (sensory neurons or sensors) are stimulated by noise and periodic signals with different ratio of frequencies, and the third one (interneuron) receives the output of these two sensors and noise. We propose the analytical approach to analysis of Interspike Intervals (ISI) statistics of the spike tr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: BMC Neuroscience
سال: 2009
ISSN: 1471-2202
DOI: 10.1186/1471-2202-10-s1-p165