Timeline for Is the Jaccard distance between probability vectors a metric?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| May 12, 2021 at 18:59 | comment | added | Jukka Kohonen | If you want a concrete example, take $Y=(0.5,0.5)$, $Z=(0.1,-0.1)$ and $t=1$ in Fedor's answer. You obtain $(0.5,0.5)$, $(0.4,0.6)$ and $(0.6,0.4)$ that indeed violate the triangle inequality. | |
| May 12, 2021 at 15:47 | comment | added | Fedor Petrov | If all coordinates of $Y$ are positive and $\sum z_i=0$, it remains for small values if $t$. | |
| May 12, 2021 at 15:18 | comment | added | Yaz | I believe the vector Z should be constrained such that Y + t Z remains in the space of probability distribution vectors. If this constraint is applied to Z, does this triangular inequality remain violated? | |
| May 12, 2021 at 9:52 | vote | accept | Yaz | ||
| May 12, 2021 at 9:52 | |||||
| May 12, 2021 at 9:12 | history | edited | Fedor Petrov | CC BY-SA 4.0 |
added 73 characters in body
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| May 12, 2021 at 8:51 | history | answered | Fedor Petrov | CC BY-SA 4.0 |