Dynamic Routing Between Capsules STAT946: Difference between revisions
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\begin{align} | \begin{align} | ||
c_{ij} = \frac{exp(b_ij)}{\sum_{k}exp(b_ik)} | |||
\end{align} | \end{align} | ||
Revision as of 21:00, 1 April 2018
Presented by
Yang, Tong(Richard)
Introduction
Hinton's Critiques on CNN
Mathematical Representations
Capsule
\begin{align} s_j = \sum_{i}c_{ij}\hat{u}_{j|i} \end{align}
where
\begin{align} \hat{u}_{j|i} = W_{ij}u_i \end{align}
Two Key Features of Capsule Network
Squashing
\begin{align} v_j = \frac{||s_j||^2}{1+||s_j||^2}\frac{s_j}{||s_j||} \end{align}
Routing By Agreement
\begin{align} c_{ij} = \frac{exp(b_ij)}{\sum_{k}exp(b_ik)} \end{align}