Certified idiot here:
Sure, an AI could do it if the “you” referred to in the prompt gave adequate restraints (though hard to define in comp. sci. terms [?]) on what they consider important. The second scenario seems like it would tag many false positives, and unless the cues could be tailored to a given subject, false negatives.
As for the philosophical filtration: importance becomes increasingly difficult to capture in precise terms as its bounds of representation (“important to whom?”) grows. And I would warrant that anything with sense data is perforce subjective. Although rules by which an object-network operates appear to be solely external and observed by a subject, I’d guess that these rules are an internal model that aims to accurately reproduce the rules themselves, vis a vis intersubjectivity (i.e., reliant on subjective experience, characterized in part by qualia-- and hence by sense data). I take “objective” in the prompt to mean non-anthropomorphic, though mechanisms by which data is revealed resemble our very own (lenses, transducers, diaphragms). This being said, I might just go ahead and say the difference between the biological meat brain and robo-brain seems illusory in many respects (on my part, a lame functionalist argument) other than shear convolution. The furiously complicated neural processes that give a span of time, an object/its function, or an idea importance enough to store it as a memory would be mad difficult to bring up into a robo-brain and still call it “objective” (meaning “non-anthropomorphic”). Undoubtedly, this paragraph contains many oversights.
what might also be interesting to see is a lecture transcribed by voice-to-text software, producing somewhat viable data which can be grouped by order of relevancy (likes, tags, link clicks, replies) to topics produced on select websites and here on the forum. Dunno how someone would go about chunking the data provided by the v2t (assuming it can faithfully reproduce the content of the lectures) other than by feedback with trending data on aforementioned websites/forums, so that words with high frequency (excluding articles, conjunctions, among other grammatical artifacts) on boards are preferred in how the AI tags the videos. From there, it should follow that the viewer is then free-ish to decide what is significant using a much more easily searched pool. This entire deal relies that v2t software is up to snuff, that the online resources generate and leave metadata open to third parties, and that a programmer could conceivably write a program which can do this stuff.