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The shape of the relation coincides across dependent variables, and the function simply consists of an upward level effect.
To benefit from joint Gaussianity and be able to infer true statistical independence from vanishing correlations, we prove here the joint Gaussianity of upward level crossings/spike counts for large T. In the following we derive the Central Limit Theorem for the spike counts of two neurons, using two steps.
In the absence of missing data, the smaller of the levels determines the output quantile in case of an upward level shift, until a sufficiently large majority of observations come from the same level as the center of the window.
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The spikes of two neurons are then modeled as upward level-crossing times of two cross-correlated fluctuating Gaussian potentials.
For two correlated upward level-crossing processes previous studies have addressed the limiting cases of weak ( r ≈ 0 ) or strong ( r ≈ 1, r < 1 ) cross-correlations [3, 10].
This makes it possible to predict the influence of a specific parameter, such as time scale τ s, firing rate ν i or correlation strength r on the upward level-cross correlations.
A recent article by Laurent Badel systematically compared the validity of upward level-crossing approximation for the firing rate, spike correlations and frequency response of a leaky integrate-and-fire neuron [16].
This study reached the conclusion that the upward level-crossing approach accurately represents the leaky integrate-and-fire model if two conditions are fulfilled: (1) the firing rate is much lower than the typical relaxation time of the voltage, (2) the synaptic filtering time constants remain of the same order of magnitude as the membrane time constant ( τ I / τ M ≈ 1 ).
The total number of job vacancies jumped 172,000 from an upward-revised level in February.
Interestingly, the band structure calculations illustrate that the substitution of B atoms in graphene monolayers shifts the Dirac point upward to the Femi level; the substitution of N atoms has an opposite effect.
It slopes upward from street level to a height of 25 feet.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com