perfect vs improve

perfect is a noun but improve is not a noun.

Word	Noun	Adjective	Verb	Adverb
perfect	Yes	Yes	Yes	No
improve	No	No	Yes	No

As verbs, improve is a hypernym of perfect; that is, improve is a word with a broader meaning than perfect:

Other hypernyms of perfect include ameliorate, amend, better, meliorate.

perfect (noun)	improve (noun)
a tense of verbs used in describing action that has been completed (sometimes regarded as perfective aspect)

perfect (adjective)	improve (adjective)
being complete of its kind and without defect or blemish
precisely accurate or exact
without qualification; used informally as (often pejorative) intensifiers

perfect (verb)	improve (verb)
make perfect or complete	get better
	to make better