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Spam detectors are pretty opaque by their nature. In contrast, karma is pretty easy to understand: "x number of people upvoted comments or posts from this user". This lets people understand a score even if they don't agree. If a karma replacement behaved like a spam detector, it would probably just annoy people.
Sporting brackets may be a better analogy. They are developed with statistics in mind but are understandable to the average sports fan. I think a karma replacement should have similar properties.
That sounds awesome! You seem to be quite knowledgeable about mathematics. May I ask what is your background?
Computer science. However, statistics is more of a hobby than anything. I am just intrigued by the idea of federated social media in general so I have thought a bit on how I would personally make it work. Perhaps I will make some more in depth blog posts about my ideas at some point.