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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeApr 17th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexstarting something, mainly to have a place to record * [[Yunlong Jiao]], [[Jean-Philippe Vert]], *The Kendall and Mallows Kernels for Permutations*, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 40, no. 7, pp. 1755-1769, 1 July 2018 ([doi:10.1109/TPAMI.2017.2719680](https://doi.org/10.1109/TPAMI.2017.2719680), [hal:01279273](https://hal.archives-ouvertes.fr/hal-01279273/document)) <a href="https://ncatlab.org/nlab/revision/Kendall+tau+distance/1">v1</a>, <a href="https://ncatlab.org/nlab/show/Kendall+tau+distance">current</a>

   starting something, mainly to have a place to record

   • Yunlong Jiao, Jean-Philippe Vert, The Kendall and Mallows Kernels for Permutations, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 40, no. 7, pp. 1755-1769, 1 July 2018 (doi:10.1109/TPAMI.2017.2719680, hal:01279273)

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorDavid_Corfield
   • CommentTimeApr 17th 2021
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexMallows kernels came up before. Ah yes, back in this [discussion](https://nforum.ncatlab.org/discussion/10585/horizontal-chord-diagram/?Focus=82878#Comment_82878).

   Mallows kernels came up before. Ah yes, back in this discussion.

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeApr 17th 2021
   • (edited Apr 17th 2021)
   • PermaLink
   Author: Urs
   Format: MarkdownItexYes, today we finally met to come back to this. So I thought I'd bring more nLab material into place.

   Yes, today we finally met to come back to this. So I thought I’d bring more nLab material into place.

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeApr 17th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to the original: * [[M. G. Kendall]], *A new measure of rank correlation* Biometrika, Volume 30, Issue 1-2, June 1938, Pages 81–93 ([doi:10.1093/biomet/30.1-2.81](https://doi.org/10.1093/biomet/30.1-2.81)) (Now that's a different style of doing maths...) <a href="https://ncatlab.org/nlab/revision/diff/Kendall+tau+distance/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/Kendall+tau+distance/2">v2</a>, <a href="https://ncatlab.org/nlab/show/Kendall+tau+distance">current</a>

   added pointer to the original:

   • M. G. Kendall, A new measure of rank correlation Biometrika, Volume 30, Issue 1-2, June 1938, Pages 81–93 (doi:10.1093/biomet/30.1-2.81)

   (Now that’s a different style of doing maths…)

   diff, v2, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeApr 17th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded also pointer to * [[C. L. Mallows]], *Non-Null Ranking Models. I*, Biometrika Vol. 44, No. 1/2 (Jun., 1957), pp. 114-130 ([jstor:2333244](https://www.jstor.org/stable/2333244)) which allegedly defines the Mallows kernel, though I haven't actually spotted it yet... <a href="https://ncatlab.org/nlab/revision/diff/Kendall+tau+distance/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/Kendall+tau+distance/2">v2</a>, <a href="https://ncatlab.org/nlab/show/Kendall+tau+distance">current</a>

   added also pointer to

   • C. L. Mallows, Non-Null Ranking Models. I, Biometrika Vol. 44, No. 1/2 (Jun., 1957), pp. 114-130 (jstor:2333244)

   which allegedly defines the Mallows kernel, though I haven’t actually spotted it yet…

   diff, v2, current

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeApr 23rd 2021
   • (edited Apr 23rd 2021)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded the (previously omitted) parameter $\beta$ both in the definition of the Mallows kernel, and in the statement that it is positive (namely for all $\beta \geq 0$). <a href="https://ncatlab.org/nlab/revision/diff/Kendall+tau+distance/8">diff</a>, <a href="https://ncatlab.org/nlab/revision/Kendall+tau+distance/8">v8</a>, <a href="https://ncatlab.org/nlab/show/Kendall+tau+distance">current</a>

   added the (previously omitted) parameter $\beta$ both in the definition of the Mallows kernel, and in the statement that it is positive (namely for all $\beta \geq 0$).

   diff, v8, current