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Silero is a tiny, open-source model (around 2MB) that can quickly determine whether a short chunk of audio contains speech. Turn-taking is a much harder problem than speech detection, but VAD is still a useful primitive, especially for deciding whether audio should be forwarded to more expensive downstream systems.
Mathematically proving that a merge function has all these properties might sound hard. But luckily, we don’t have to do that! Instead, we can just combine CRDTs that already exist, leaning on the fact that someone has proven these things for us.