N2D3P9: Difference between revisions
Dave Keenan (talk | contribs) m →Justification: Changed two occurrences of "ratios" to "ratio classes". |
alphabetic numbering is done like this, but maybe it's better to get back to the wiki way i.e. numerical numbering of ordered lists (via #) |
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Blumeyer and Keenan found that <math>\text{N2D3P9}</math> is a psychoacoustically plausible function of a ratio's prime factorization that: | Blumeyer and Keenan found that <math>\text{N2D3P9}</math> is a psychoacoustically plausible function of a ratio's prime factorization that: | ||
<ol> | <ol style="list-style-type: lower-alpha"> | ||
<li | <li>ranks 10 of the 11 most popular ratio classes in exactly the same way as the archive data, and</li> | ||
<li | <li>ranks all 820 ratio classes in a way that has a low sum of squared errors in their ranks, relative to the archive data, and</li> | ||
<li | <li>is sufficiently simple, having only two parameters, that it cannot be [https://en.wikipedia.org/wiki/Overfitting overfitting] the data, and should therefore serve to average out the historical noise in the ranking of the less popular ratios, including ratios that do not occur in the archive at all.</li> | ||
</ol> | </ol> | ||