Timeline for Modeling player interactions in multi-dimensional rating systems
Current License: CC BY-SA 4.0
9 events
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| Oct 19, 2023 at 13:26 | comment | added | Kiran Tomlinson | I think the Blade-Chest model is exactly what you're looking for: cs.cornell.edu/people/tj/publications/chen_joachims_16a.pdf. Every player is represented using two vectors (their "blade" and "chest") representing their offensive and defensive abilities. You can fit this model to data and represent intransitivity in matchups. | |
| Oct 19, 2023 at 7:08 | history | edited | mb1 | CC BY-SA 4.0 |
added 136 characters in body
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| Oct 18, 2023 at 23:40 | comment | added | mb1 | @GerryMyerson - Munshi (2014) seems to only talk about "percent of win" as a second metric. This does not necessarily generalize well to style in most games | |
| Oct 18, 2023 at 23:35 | comment | added | mb1 | @GerryMyerson - Pelanek (2016) assumes testability of each skill individually. "The multi- variate extension is used as follows. Based on available data we compute correlations $c_{ij}$ between knowledge components. For each knowledge component $i$ we have a student skill parameter $\theta_{si}$. After a student $s$ answers a question belonging to a knowledge component $i$ we update estimates of all skills $j$ ..." | |
| Oct 18, 2023 at 22:46 | comment | added | Gerry Myerson | Section 2.4 of Pelanek R., Applications of the Elo Rating System in Adaptive Educational Systems, Computers & Education (2016), doi:10.1016/j.compedu.2016.03.017. available at fi.muni.cz/~xpelanek/publications/CAE-elo.pdf is entitled, Multivariate Extensions. | |
| Oct 18, 2023 at 22:41 | comment | added | Gerry Myerson | Munshi, Jamal, The Relative Playing Strength of Chess Players: A Note (August 8, 2014). Available at SSRN: ssrn.com/abstract=2477868 or dx.doi.org/10.2139/ssrn.2477868 "The conventional method of rating chess players uses a method called "scoring" to reduce a trinomial process to a binomial making it possible to rate chess playing strength with a single scalar measure. ... Two dimensional measures of playing strength, though more cumbersome to use, may have greater validity because they contain more information." | |
| Oct 18, 2023 at 22:27 | history | edited | YCor | CC BY-SA 4.0 |
removed capitals from title
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| S Oct 18, 2023 at 21:41 | review | First questions | |||
| Oct 19, 2023 at 4:42 | |||||
| S Oct 18, 2023 at 21:41 | history | asked | mb1 | CC BY-SA 4.0 |