# Dilated Convolution

For a convolution

$$ f*h(x) = \sum_{s+t=x} f(s) h(t), $$

the dilated version of it is^{1}

$$ f*_l h(x) = \sum_{s+t*l=x} f(s) h(t), $$

where $l$ is the dilation factor.

Planted:
by L Ma;

References:

Dynamic Backlinks to

`cards/math/convolution-dilated`

:Lei Ma (2022). 'Dilated Convolution', Datumorphism, 08 April. Available at: https://datumorphism.leima.is/cards/math/convolution-dilated/.