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Results tagged with optimal-transportation
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user 20516
2
votes
Is there an elementary proof of the polar factorization theorem for vector-valued function?
Here's an elementary type argument I learned, based on unique splitting $T=S+A$ of linear operators $T: \mathbb{R}^n \to \mathbb{R}^n$.
(i) every linear operator $T$ can be uniquely decomposed $T=S+A$ …
- 2,274
1
vote
On semi-discrete Wasserstein distance
You ask "given the $p_i>0$ and $\rho$ (which can be assumed to be as good as possible), under which condition on $x_1,\ldots, x_n$ each $x_i$ is the barycentre of $V_i$??"
In one sense the question an …
- 2,274
2
votes
Relation between optimal transport cost and difference between topological invariants?
Applications of OT to Algebraic Topology was the subject of my thesis available here https://github.com/jhmartel/Thesis2019
There remains many interesting questions to solve!
I found the topology of e …
- 2,274