Dilated Convolutions

Multi-Scale Context Aggregation by Dilated Convolution

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

\(\left(k \ast_{l} f\right)_t = \sum_{\tau=-\infty}^{\infty} k_\tau \cdot f_{\tau - lt}\),
where \(l\) is the dilation factor. 
\(l = 1\) 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 \(l = 2\) would look like.

Machine Learning Research Flashcards is a collection of flashcards associated with scientific research papers in the field of machine learning. Best used with Anki. Edit MLRF on GitHub.