Timeline for Closed-form formula for Wasserstein distance between uniform discrete distribution and discrete distribution with same support
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Mar 3 at 18:46 | comment | added | Nawaf Bou-Rabee | @FeiCao The $1/2$ stems from the definition of the total variation (TV) metric, which in the special case of a countable state space, reduces to $1/2$ the $L^1$-norm between the two measures. The definition ensures that the TV distance takes values in $[0,1]$. | |
| Dec 22, 2023 at 19:15 | comment | added | Fei Cao | Can you provide the details as to the appearance of the constant $\frac 12$ ? | |
| May 31, 2022 at 7:18 | history | bounty ended | ViktorStein | ||
| May 30, 2022 at 11:13 | history | edited | Nawaf Bou-Rabee | CC BY-SA 4.0 |
deleted 10 characters in body
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| May 30, 2022 at 11:07 | history | edited | Nawaf Bou-Rabee | CC BY-SA 4.0 |
added 1 character in body
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| May 30, 2022 at 11:01 | history | edited | Nawaf Bou-Rabee | CC BY-SA 4.0 |
added a more refined upper bound
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| May 28, 2022 at 14:48 | history | edited | Nawaf Bou-Rabee | CC BY-SA 4.0 |
deleted comment to avoid redundancy
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| May 27, 2022 at 17:26 | history | answered | Nawaf Bou-Rabee | CC BY-SA 4.0 |