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In the snippet below, the highlighted part is the average norm, but since $1/|p_i|$ is outside the summation, it is very confusing to understand.

is $|p_i|$ l2-norm(as per wolfram) or l1-norm or absolute value as per wiki.

Should the $i$ inside summation be considered for $1/|p_i|$, which is outside the summation?

Much obliged for the response, I'm confused with the usage of mod('|x|') notation, since cardinality will either take zero or a positive number. – Stephen Philip – 2020-01-28T04:56:17.683