Timeline for Proving the inequality involving Hausdorff distance and Wasserstein infinity distance
Current License: CC BY-SA 4.0
8 events
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Mar 21 at 14:44 | history | edited | leo monsaingeon | CC BY-SA 4.0 |
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Mar 21 at 14:05 | history | edited | leo monsaingeon | CC BY-SA 4.0 |
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Mar 21 at 13:54 | history | edited | leo monsaingeon | CC BY-SA 4.0 |
added 2668 characters in body
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Mar 21 at 13:47 | comment | added | leo monsaingeon | @LunaBelle you're completely right, this is a crucial mistake (that cannot be fixed in any way) and I plead guilty on the charge of wishful thinking. I edited to provide a correct answer, totally different. I'm surprised nobody spotted it before! (including myself) | |
Mar 21 at 13:44 | history | edited | leo monsaingeon | CC BY-SA 4.0 |
added 2668 characters in body
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Mar 21 at 8:49 | comment | added | Luna Belle | Thank you. Could you please provide more detailed explanation for how the last inequality is derived? It doesn't seem obvious based on the definition of the Hausdorff distance | |
Mar 20 at 16:33 | comment | added | leo monsaingeon | as a side note: one could argue directly at the level of a minimizing plan $\pi^*$ (rather than for a minimizing sequence $\pi_n$), but I'm not sure everybody would take for granted the existence of such a plan so I thought best using the apprimation trick | |
Mar 20 at 12:06 | history | answered | leo monsaingeon | CC BY-SA 4.0 |