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Taut string algorithm and TV-minimization equivalence

Sorry for digging this up after 3 years, I just stumbled upon the exact same problem. This is by no means a complete answer, just a current state of my own work. I'm sure you saw that Condat poses the ...
lphil's user avatar
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1 vote

Optimal transport: the existence of an optimal pair of $c$-conjugate functions

I was also struggling with Exercise 2.36... I think that I am now able to solve it, although it seems that it is more difficult than it appears... The key seems to be the following theorem. Theorem: ...
gerw's user avatar
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Relative interior of a normal cone at a face of a convex polytope?

Yes, this is true, a direct proof can be found in Lemma 1 part (ii) of Piermont 2022.
201p's user avatar
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