More accurate softlif in tensorflow #45
Merged
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This is a change that I also made in
nengo_extras
(see here).Basically, for small
j
,z = log(1 + exp(j/sigma))*sigma = sigma*exp(j/sigma)
sincelog(1 + x) = x
for smallx
. Then,log(1 + 1/z) = log((z + 1) / z) = log(1 / z)
sincez
is also small andz + 1 = 1
. Finally,log(1/z) = -log(z) = -log(sigma*exp(j/sigma)) = -j/sigma - log(sigma)
.