minimization vs diminution

minimization and diminution both are nouns.

Word	Noun	Adjective	Verb	Adverb
minimization	Yes	No	No	No
diminution	Yes	No	No	No

As nouns, diminution is a hypernym of minimization; that is, diminution is a word with a broader meaning than minimization:

minimization: the act of reducing something to the least possible amount or degree or position
diminution: the act of decreasing or reducing something

Other hypernyms of minimization include decrease, reduction, step-down.

minimization (noun)	diminution (noun)
the act of reducing something to the least possible amount or degree or position	the act of decreasing or reducing something
	the statement of a theme in notes of lesser duration (usually half the length of the original)
	change toward something smaller or lower