Fold 0 - Understanding why coefficient 4663937 was selected
Tag: SPECIAL
Selected Coefficient: 4663937
Taxonomy Path: 1.1.13.8
Taxonomy Name:
Products with this tag: 17
Unique residual values tried: 14
The algorithm tries each unique residual value as a candidate coefficient and selects the one with the lowest total p-adic loss. The selected row is highlighted.
| Candidate Value | Total P-adic Loss | Taxonomy Path | P-adic Expansion | Taxonomy Name | Selected? |
|---|---|---|---|---|---|
| 4663937 | 11.024100 | 1.1.13.8 | 8.13.1.1 (8*83^3 + 13*83^2 + 83 + 1) | Yes | |
| 4092150 | 11.024102 | 1.1.13.7 | 7.13.1.1 (7*83^3 + 13*83^2 + 83 + 1) | No | |
| 7522872 | 11.024102 | 1.1.13.13 | 13.13.1.1 (13*83^3 + 13*83^2 + 83 + 1) | No | |
| 165503 | 11.060241 | 1.2.24 | 24.2.1 (24*83^2 + 2*83 + 1) | No | |
| 582 | 11.060241 | 1.7 | 7.1 (7*83 + 1) | No | |
| 0 | 15.000000 | 0 | 0 (0) | No | |
| -7474733 | 15.000000 | -2.2.6.13 | -13.6.2.2 (-(13*83^3 + 6*83^2 + 2*83 + 2)) | No | |
| 13947 | 15.012048 | 3.2.2 | 2.2.3 (2*83^2 + 2*83 + 3) | No | |
| 10306196 | 15.012048 | 3.3.2.18 | 18.2.3.3 (18*83^3 + 2*83^2 + 3*83 + 3) | No | |
| 240220357 | 16.000000 | 14.11.10.5.5 | 5.5.10.11.14 (5*83^4 + 5*83^3 + 10*83^2 + 11*83 + 14) | No | |
| -1419397 | 16.000000 | -14.3.40.2 | -2.40.3.14 (-(2*83^3 + 40*83^2 + 3*83 + 14)) | No | |
| 186 | 16.000000 | 20.2 | 2.20 (2*83 + 20) | No | |
| 768 | 16.000000 | 21.9 | 9.21 (9*83 + 21) | No | |
| 110734 | 16.000000 | 12.6.16 | 16.6.12 (16*83^2 + 6*83 + 12) | No |
These are the training products that have the "SPECIAL" tag (processing sequence 7013). The residual is the encoded taxonomy value minus all coefficients from previously processed tags.
| Product ID | Title | Residual Before | Taxonomy Before | Tags Already Processed | Residual After | Taxonomy After | Tags Not Yet Processed |
|---|---|---|---|---|---|---|---|
| 27690 | I Just Freaking Love Birds OK? Souvenir by ASJ graphic 11oz Mug | 240220357 | FRIENDS, GATHERING | 235556420 | none | ||
| 28887 | GD Stealie Ornament Christmas (Vintage) | 10306196 | none | 5642259 | none | ||
| 10575 | Grateful Totem Hoodie (Large, Vintage) | 7522872 | none | 2858935 | none | ||
| 14363 | Grateful Totem Shirt (Small, Tie Dye Vintage 2015) | 4663937 | none | 0 | none | ||
| 30363 | Get Rich or Dab Tryin’ (Vintage 2012) | 4663937 | none | 0 | none | ||
| 18750 | L25 Shirt (Teal, Women’s Medium, Vintage 2012) | 4092150 | none | -571787 | none | ||
| 25187 | Rose Stealie Pin (Vintage 2013) | 165503 | none | -4498434 | none | ||
| 28902 | GD Trolley Pin (Vintage) | 110734 | none | -4553203 | none | ||
| 29638 | GD Wild Things pin | 13947 | none | -4649990 | none | ||
| 23625 | Vineyard Membership - six of our best bottles every six months + extra benefits! | 768 | none | -4663169 | none | ||
| 32293 | Royal Dead Shoe Buckles (Pair) (Silver, Vintage 2012) | 582 | none | -4663355 | none | ||
| 19076 | Lotus Buddha Pin (Vintage 2014) | 186 | none | -4663751 | none | ||
| 27716 | Funny Gone Hunting Be Back Soon To Go Fishing Humor product 11oz Mug | 0 | JMI | -4663937 | none | ||
| 23609 | 6 x 2023 Sauvignon Blanc | 0 | COOL CLIMATE WINE | -4663937 | none | ||
| 27621 | Armadillo Otaku Anime Vintage by DOTC 11oz Mug | -1419397 | WEARING, FRIENDS, GATHERING, HOME | -6083334 | none | ||
| 30412 | 14K White Gold, Blue Diamond Halo Ring | -7474733 | BRIDESMAID, FORMAL WEAR | -12138670 | none | ||
| 30413 | 14K Yellow Gold 0.04ctw Diamond Crown Women's Ring | -7474733 | BRIDESMAID, FORMAL WEAR | -12138670 | none |