Talk:Tenney–Euclidean tuning: Difference between revisions

Cmloegcmluin (talk | contribs)
Cmloegcmluin (talk | contribs)
Add links to D&D's guide: thanks for adding the links! (removing this section which existed only to request that)
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::::::: Also, per Sintel's original comment, I have by now realized that the Frobenius tuning is the one which minimizes the Frobenius norm of ''the projection matrix'' (''not'' the mapping matrix), by defining the projection matrix as the mapping matrix left-multiplied by (a generator embedding matrix equal to) its own pseudoinverse. So the name does make sense, but I think it should be clarified where it is mentioned. --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 19:38, 11 December 2022 (UTC)
::::::: Also, per Sintel's original comment, I have by now realized that the Frobenius tuning is the one which minimizes the Frobenius norm of ''the projection matrix'' (''not'' the mapping matrix), by defining the projection matrix as the mapping matrix left-multiplied by (a generator embedding matrix equal to) its own pseudoinverse. So the name does make sense, but I think it should be clarified where it is mentioned. --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 19:38, 11 December 2022 (UTC)
== Add links to D&D's guide ==
Several of the tunings on this page are discussed in a more in-depth textbook tutorial style in D&D's guide. I'd like to add links out to this related information, and at least include their systematic names here. Perhaps this could all be done in one section at the end.
{| class="wikitable"
|+
!historical name
!systematic name
|-
|Tenney-Euclidean
|minimax-E(-lp-)S
|-
|Frobenius
|minimax-E-copfr-S
|-
|Benedetti-Euclidean
|minimax-E-sopfr-S
|}
However, I can't make this edit myself, since the page has been locked to non-admins. --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 20:01, 6 February 2023 (UTC)
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