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Results tagged with optimal-transportation
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user 51695
2
votes
Existence of first variation
In general, a first variation is just the collection of all directional derivatives
$\frac{d}{d\epsilon} \mathcal{F}(\rho+\epsilon\chi)|_{\epsilon = 0}$. For fixed $\rho$ one can treat them as a funct …
- 2,504
0
votes
Derivative of Wasserstein distance $W^p_p$ along solutions of the continuity equation (contr...
Without having read the sources in detail, I would notice the following:
In (4) the second measure is time independent. To satisfy (1) this then corresponds to $(\rho^{(2)}_t,v_t^{(2)}) = (\nu,0)$. Bu …
- 2,504