Dynamic Routing Between Capsules STAT946: Difference between revisions

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\end{align}
\end{align}


== Routing By Agreement ==  
== Routing By Agreement ==
 
\begin{align}
c_ij = \frac{exp(b_ij)}{\sum_{k}exp(b_ik)}
\end{align}


= Empirical Results =
= Empirical Results =

Revision as of 20:59, 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}

Empirical Results

MINST

MultiMNIST