Timeline for Does a 1-Lipschitz function preserve mutual information between two random variables?
Current License: CC BY-SA 4.0
4 events
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Oct 31, 2019 at 11:08 | comment | added | minimore99 | Sorry I should have made it clearer: I don't know if $f$ is injective or not, but from @e.lipnowski comments it seems that $f$ isn't injective even if it's 1-Lipschitz, in which case I should suppose the MI is not preserved? | |
Oct 31, 2019 at 10:39 | comment | added | e.lipnowski | Whoops! Thank you and sorry. | |
Oct 31, 2019 at 3:17 | comment | added | Yuval Peres | Note the OP assumed $f$ is injective | |
Oct 31, 2019 at 0:41 | history | answered | e.lipnowski | CC BY-SA 4.0 |