Notation unclear - Radial Basis Funtion

Question

Notation unclear - Radial Basis Funtion

Linsane

2019年5月6日 15:06

In Chapter 6 (Deep Forward Networks) on Page 193 of Deep Learning they talk about the design of Hidden Units. The Radial Basis Function is introduced as follows: $$ h_i = exp\big{(}-\frac{1}{\sigma_i^2}||W_{:,i} − x||^2\big{)} $$

What does the colon as Index for $W$ mean?

Topic rbf machine-learning

Category Data Science

Siong Thye Goh · Accepted Answer · 2019年5月6日 15:05

1

Siong Thye Goh answered at 2019年5月6日 15:05

According to the notation page, it means the $i$-th column.

$W$ is a template matrix, where the closer $x$ is to $i$-column of $W$, the bigger the value of $h_i$.

Notation unclear - Radial Basis Funtion

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