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Depending on the type of photography you shoot, I think the 'framework' behind your photographs can for the most part be added retroactively. If you shoot street, then a lot of your shots will be down to luck and not because you are seeking to shoot something specific.
Though if you actively set up your shots in a studio or wherever, then i guess you can't help but either imitate other artists or be influenced by ideas of academics or intellectuals you know or enjoy.
That being said, at the moment I've been reading some Barthes some Bázin, Laura Mulvey, Semiotic Theory. But I don't think they're 'influencing' me in the sense you mean. More that it helps my analysation and honestly appreciation of photography in general, and I guess helps me be more selective in the shots that I take and the ones that I discard.