Rewriting as dot products

If we now flip the filter/weight vector, with the following term as a typical example

$$y(0)=x(2)w(0)+x(1)w(1)+x(0)w(2)=x(2)\tilde{w}(2)+x(1)\tilde{w}(1)+x(0)\tilde{w}(0),$$

with $\tilde{w}(0)=w(2)$, $\tilde{w}(1)=w(1)$, and $\tilde{w}(2)=w(0)$, we can then rewrite the above sum as a dot product of $x(i:i+(m-1))\tilde{w}$ for element $y(i)$, where $x(i:i+(m-1))$ is simply a patch of $\boldsymbol{x}$ of size $m-1$.

The padding $P$ we have introduced for the convolution stage is just another hyperparameter which is introduced as part of the architecture. Similarly, below we will also introduce another hyperparameter called Stride $S$.

• «
• 1
• ...
• 24
• 25
• 26
• 27
• 28
• 29
• 30
• 31
• 32
• 33
• 34
• 35
• 36
• 37
• 38
• 39
• 40
• 41
• ...
• 61
• »