The response variability of striate cortical neurons in the behaving monkey. Vogels, R., Spileers, W., & Orban, G. Exp. Brain Res., 77:432-436, 1989. bibtex @article{ Vogels_etal89,
author = {Vogels, R. and Spileers, W. and Orban, G.A.},
title = {The response variability of striate cortical neurons in the behaving
monkey},
journal = {Exp. Brain Res.},
year = {1989},
volume = {77},
pages = {432-436},
en_number = {1.16:35},
keywords = {Visual cortex, single cell, response variability, behaving monkey},
summary = {They record in V1 of awake behaving monkey doing an orientation discrimination
task (183 cells). Again, they find power laws in the variance vs.
mean plots for about 2 decades (1 to 100 Hz). The variance is between
recordings between different cells. The exponents are reasonably
close to one, being 1.03 in one monkey and 1.20 in the other one
(average of all 183 cells: 1.11).
They also computed the variance for the same cell but between different
orientations and found that the slope varies quite a bit (since they
have only few data points for each cell) but it varies around 1.1.
They say that the mean slope (for all cells) is nearly the same as
before (1.10).
In fact, I wonder if that is not somewhat tautological: OF course,
the mean will be the same as before, since they average over the
same set of data; they only sum them up in a different order. In
fact, in the limit of large datasets they should obtain the IDENTICAL
result (i.e. 1.11 not 1.10), and the difference can only be due to
the fact that they first determine the slopes, each time for a few
points only, and then take the average of all slopes, rather than
computing one slope for ALL points.
But this is probably not important, the relevant thing is that (a)
they find power laws over about 2 decades and (b) the power is pretty
close to unity. One more thing: Vogels et al argue that the power
is close to one, but that the proportionality factor between mean
and variance is not one, as one would expect for a Poisson process,
but closer to two (they find 1.9, Dean found 1.54 and Tolhust et
al 1983 found 2.8). So, therefore, it cannot be a Poisson process.
}
}
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Brain Res.},\n year = {1989},\n volume = {77},\n pages = {432-436},\n en_number = {1.16:35},\n keywords = {Visual cortex, single cell, response variability, behaving monkey},\n summary = {They record in V1 of awake behaving monkey doing an orientation discrimination\n\ttask (183 cells). Again, they find power laws in the variance vs.\n\tmean plots for about 2 decades (1 to 100 Hz). The variance is between\n\trecordings between different cells. The exponents are reasonably\n\tclose to one, being 1.03 in one monkey and 1.20 in the other one\n\t(average of all 183 cells: 1.11). \n\t\n\tThey also computed the variance for the same cell but between different\n\torientations and found that the slope varies quite a bit (since they\n\thave only few data points for each cell) but it varies around 1.1.\n\tThey say that the mean slope (for all cells) is nearly the same as\n\tbefore (1.10). \n\t\n\tIn fact, I wonder if that is not somewhat tautological: OF course,\n\tthe mean will be the same as before, since they average over the\n\tsame set of data; they only sum them up in a different order. In\n\tfact, in the limit of large datasets they should obtain the IDENTICAL\n\tresult (i.e. 1.11 not 1.10), and the difference can only be due to\n\tthe fact that they first determine the slopes, each time for a few\n\tpoints only, and then take the average of all slopes, rather than\n\tcomputing one slope for ALL points. \n\t\n\tBut this is probably not important, the relevant thing is that (a)\n\tthey find power laws over about 2 decades and (b) the power is pretty\n\tclose to unity. One more thing: Vogels et al argue that the power\n\tis close to one, but that the proportionality factor between mean\n\tand variance is not one, as one would expect for a Poisson process,\n\tbut closer to two (they find 1.9, Dean found 1.54 and Tolhust et\n\tal 1983 found 2.8). So, therefore, it cannot be a Poisson process.\n\t}\n}","bibtype":"article","en_number":"1.16:35","id":"Vogels_etal89","journal":"Exp. 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In fact, I wonder if that is not somewhat tautological: OF course, the mean will be the same as before, since they average over the same set of data; they only sum them up in a different order. In fact, in the limit of large datasets they should obtain the IDENTICAL result (i.e. 1.11 not 1.10), and the difference can only be due to the fact that they first determine the slopes, each time for a few points only, and then take the average of all slopes, rather than computing one slope for ALL points. But this is probably not important, the relevant thing is that (a) they find power laws over about 2 decades and (b) the power is pretty close to unity. One more thing: Vogels et al argue that the power is close to one, but that the proportionality factor between mean and variance is not one, as one would expect for a Poisson process, but closer to two (they find 1.9, Dean found 1.54 and Tolhust et al 1983 found 2.8). 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