(a) We filter out information that the brain deprioritizes without our knowing it. (b)We filter out information that the brain deprioritizes without us knowing it.
I came across the sentence (a) above, modified for clarification. I wonder it is possible to use "us," as in sentence (b), instead of "our," as in (a). If possible, is there any semantic difference between these two sentences? Could [my(her, their, etc.) + -ing form] and [me (her, them, etc.) + -ing form] in a sentence always be used interchangeably with little or no difference in meaning? Grammatically, is the phrase "our knowing it" in sentence (a) considered a present participle or gerund? I know both of the following sentences are just fine, with (c) a more formal tone. (c) Do you mind my smoking? (d) Do you mind me smoking? Generally, however, I have no idea what exactly is semantically different between "my + -ing form" and "me + -ing form," nor the underlying grammatical logic. Thanks in advance.