What is Convolution

Convolution of $(a_i)$ and $(b_i)$

$$ (a * b)n=\sum{i}^{n} a_i \cdot b_{k-i}

$$

What is Convolution Nerual Network

Convolution Demo

DEEPLIZARD Interactive Demo - Convolution Operation

Cosine similarity (Cosine distance)

Convolution for Time Series and ARIMA

• An AR(p) model is a 1-D CNN model

  $$ \begin{aligned} Y_t&=\beta_0+\beta_1Y_{t-1}+\beta_2Y_{t-2}+...+\beta_pY_{t-p}+\varepsilon_t \\ &=\sum_{k=1}^{p}\beta_kY_{t-k} + \beta_0+\varepsilon_t \end{aligned} $$

Why use CNN?

CNN Architechure