Multi-Scale Context Aggregation by Dilated Convolutions

What is the mathematical formula of a dilated convolution (klf)t\left(k \ast_{l} f\right)_t?


(klf)t=τ=kτfτlt\left(k \ast_{l} f\right)_t = \sum_{\tau=-\infty}^{\infty} k_\tau \cdot f_{\tau - lt}, where ll is the dilation factor.

l=1l = 1 equals a normal convolution

What is a different name for a dilated convolution?


Atrous convolution.

What is a different name for an **atrous **convolution?


**Dilated **convolution.

If this images demonstrates a normal convolution, visualize how a dilated convolution l=2l = 2 would look like. 0oX5IPr7TlVM2NpEU.gif


03cTXIemm0k3Sbask.gif

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