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Dazheng
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Check if a point is in the interior of the convex hull of some other points in high dimensions, and lower-bounding the largest enclosed ball
Thank you very much for your answer, @Yoav! I'm digesting this. In the meantime, I've edited the question a bit to clarify my additional question -- if we don't know whether the conv(P) has "volume" (non-empty interior, not the relative interior) or not, do we have some way to check it? Thank you for your time!
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Check if a point is in the interior of the convex hull of some other points in high dimensions, and lower-bounding the largest enclosed ball
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Check if a point is in the interior of the convex hull of some other points in high dimensions, and lower-bounding the largest enclosed ball
@RavenclawPrefect Thanks for adding the link!
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Check if a point is in the interior of the convex hull of some other points in high dimensions, and lower-bounding the largest enclosed ball