Dynamic Routing Between Capsules STAT946

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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}

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

Empirical Results

MINST

MultiMNIST