die down vs shrink

die down is not a noun while shrink is a noun.

Word	Noun	Adjective	Verb	Adverb
die down	No	No	Yes	No
shrink	Yes	No	Yes	No

As verbs, shrink is a hypernym of die down; that is, shrink is a word with a broader meaning than die down:

Other hypernyms of die down include shrivel, shrivel up, wither.

die down (noun)	shrink (noun)
	a physician who specializes in psychiatry

die down (verb)	shrink (verb)
suffer from a disease that kills shoots	become smaller or draw together
become progressively weaker	reduce in size; reduce physically
	wither, as with a loss of moisture
	decrease in size, range, or extent
	draw back, as with fear or pain