polymath vs initiate

polymath and initiate both are nouns.

Word	Noun	Adjective	Verb	Adverb
polymath	Yes	No	No	No
initiate	Yes	No	Yes	No

As nouns, initiate is a hypernym of polymath; that is, initiate is a word with a broader meaning than polymath:

Other hypernyms of polymath include learned person, pundit, savant.

polymath (noun)	initiate (noun)
a person of great and varied learning	people who have been introduced to the mysteries of some field or activity
	someone who has been admitted to membership in a scholarly field
	someone new to a field or activity

polymath (verb)	initiate (verb)
	set in motion, start an event or prepare the way for
	bring up a topic for discussion
	take the lead or initiative in; participate in the development of
	bring into being
	accept people into an exclusive society or group, usually with some rite