In convex optimization, how can we impose a constraint that a variable has certain distribution? e.g. elements of vector $v$ have power law distribution?
2026-04-28 16:27:45.1777393665
Coding Distributions as a Convex Constraint
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It is easy to see that in general such a constraint cannot be guaranteed to preserve convexity. For example, any non-continuous distribution or any continuous distribution which has a probability zero mid-region will very likely break convexity.