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Proving equivalence of two definitions of a convex-type Hamming distance

Update: If somebody can answer my question there, then I will be able to fully answer my question here. Consider $n\in\mathbb N$ and a non-empty set $M\subset\{0,1\}^n$. I have the following conjectur …
Maximilian Janisch's user avatar
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Proving equivalence of two definitions of a convex-type Hamming distance

Answer inspired by this great answer to a very related question by Paata Ivanishvili. The right-hand side is equal to $\min_{m\in\operatorname{conv}(M)} \lVert m\rVert_2$, where $\operatorname{conv}(M …
Maximilian Janisch's user avatar