infer vs surmise

infer is not a noun while surmise is a noun.

Word	Noun	Adjective	Verb	Adverb
infer	No	No	Yes	No
surmise	Yes	No	Yes	No

As verbs, surmise is a hyponym of infer; that is, surmise is a word with a more specific, narrower meaning than infer:

Other hyponyms of infer include extrapolate, elicit.

infer (noun)	surmise (noun)
	a message expressing an opinion based on incomplete evidence

infer (verb)	surmise (verb)
reason by deduction; establish by deduction	infer from incomplete evidence
believe to be the case	imagine to be the case or true or probable
guess correctly; solve by guessing
conclude by reasoning; in logic
draw from specific cases for more general cases