Fold 3 - Understanding why coefficient 34944 was selected
Tag: ADD A STERLING SILVER CHAIN? 16 INCH CHAIN
Selected Coefficient: 34944
Taxonomy Path: 1.6.5
Taxonomy Name: Apparel & Accessories > Jewelry > Charms & Pendants
Products with this tag: 5
Unique residual values tried: 5
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? |
|---|---|---|---|---|---|
| 34944 | 3.000145 | 1.6.5 | 5.6.1 (5*83^2 + 6*83 + 1) | Apparel & Accessories > Jewelry > Charms & Pendants | Yes |
| 55611 | 3.000145 | 1.6.8 | 8.6.1 (8*83^2 + 6*83 + 1) | No | |
| -111222 | 4.000000 | -2.12.16 | -16.12.2 (-(16*83^2 + 12*83 + 2)) | No | |
| -55611 | 4.000000 | -1.6.8 | -8.6.1 (-(8*83^2 + 6*83 + 1)) | No | |
| 0 | 4.000000 | 0 | 0 (0) | No |
These are the training products that have the "ADD A STERLING SILVER CHAIN? 16 INCH CHAIN" tag (processing sequence 2757). 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 |
|---|---|---|---|---|---|---|---|
| 9417 | Raw Sapphire Necklace - Sterling Silver | 55611 | none | 20667 | none | ||
| 9458 | Raw Sapphire Sterling Silver Pendant | 34944 | Apparel & Accessories > Jewelry > Charms & Pendants | none | 0 | none | |
| 9520 | Raw Ruby Necklace in Sterling Silver | 0 | GOLD AND SILVER | -34944 | WOMEN'S NECKLACE, 40TH ANNIVERSARY, JULY BIRTHSTONE | ||
| 9518 | Herkimer Diamond Necklace - Add a Sterling Silver Chain | -55611 | CRYSTAL NECKLACE, CHOOSE YOUR STONE | -90555 | MENS GIFT | ||
| 9132 | Rainbow Moonstone Necklace - Sterling Silver Lotus Pendant | -111222 | GOLD AND SILVER, CHOOSE YOUR STONE, CHARM NECKLACE | -146166 | WOMEN'S NECKLACE |