I totally agree with epigene san.
Just a small thing -
In case of 冷たく感じる which you mentioned as an example,
「冷たく」 here is not 副詞 adverb but still is 形容詞 adjective.
i.e.
冷たく感じる means "feel/find (something) cold", not "feel something coldly".
(In case of the former "cold" modifies "something" while in the latter "coldly" modifies "to feel")