Timeline for Upper bound total variation by Wasserstein distance for continuous distance
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 10, 2018 at 1:23 | comment | added | R W | It's quite easy: the discrete counterexamples are pairs of $\delta$-measures $\delta_x$ and $\delta_y$ with close (but different) $x$ and $y$. In order to have a counterexample with equivalent measures take $\epsilon<d(x,y)/2$ and define measures $\lambda,\mu$ in such a way that $d\lambda/d\mu=C$ on the ball $B(x,\epsilon)$ and $d\lambda/d\mu=1/C$ on $B(y,\epsilon)$. | |
| Dec 10, 2018 at 0:25 | comment | added | Amir Sagiv | Is there a reference for a counter example example from the sort you mentioned? | |
| Aug 21, 2017 at 4:43 | vote | accept | Felix Y. | ||
| Aug 21, 2017 at 4:14 | history | answered | R W | CC BY-SA 3.0 |