keep out vs remain

keep out and remain both are verbs.

Word	Noun	Adjective	Verb	Adverb
keep out	No	No	Yes	No
remain	No	No	Yes	No

As verbs, remain is a hypernym of keep out; that is, remain is a word with a broader meaning than keep out:

Other hypernyms of keep out include rest, stay.

keep out (verb)	remain (verb)
remain outside	stay the same; remain in a certain state
prevent from entering; shut out	be in a certain place and not leave
	continue in a place, position, or situation
	be left; of persons, questions, problems, results, evidence, etc.