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Results tagged with oc.optimization-and-control
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user 106046
Operations research, linear programming, control theory, systems theory, optimal control, game theory
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Symmetry for bilinear optimization problem related to Gromov Wasserstein distance
The following question came up when trying to numerically solve some variants of the Gromov-Wasserstein distance.
Setting:
Let $(X_1, d_1), (X_2, d_2)$ be two compact, separable and complete metric s …
- 1,095
2
votes
Accepted
Optimal transport for applied mathematicians: how does $\varphi (x) = \inf_{y \in Y} [c(x, y...
I hope I did not misunderstand the question, but it seems $\varphi(x) > - \infty$ holds as follows if $(x, y) \in \Gamma$:
For any $(x_i, y_i) \in \Gamma$, $i=1, \dots, n$, we see that
\begin{align}
…
- 1,095
2
votes
Accepted
The largest Wasserstein distance to uniform distribution among all probability distributions...
I think I have an answer for the case p = 1, K = 2. I write "I think" because my computation does not coincide with the example values for $N=4$ posted earlier by OP in a comment, but I really cannot …
- 1,095