Fold 0 - Understanding why coefficient 40755 was selected
Tag: 23RD ANNIVERSARY
Selected Coefficient: 40755
Taxonomy Path: 1.6.8
Taxonomy Name: Apparel & Accessories > Jewelry > Necklaces
Products with this tag: 6
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? |
|---|---|---|---|---|---|
| 40755 | 4.000000 | 1.6.8 | 8.6.1 (8*71^2 + 6*71 + 1) | Apparel & Accessories > Jewelry > Necklaces | Yes |
| -2928893 | 4.000198 | -1.1.13.8 | -8.13.1.1 (-(8*71^3 + 13*71^2 + 71 + 1)) | No | |
| -2197948 | 4.000198 | -1.1.10.6 | -6.10.1.1 (-(6*71^3 + 10*71^2 + 71 + 1)) | No | |
| -2898235 | 5.000000 | -15.66.6.8 | -8.6.66.15 (-(8*71^3 + 6*71^2 + 66*71 + 15)) | No | |
| 0 | 5.000000 | 0 | 0 (0) | No |
These are the training products that have the "23RD ANNIVERSARY" tag (processing sequence 284). 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 | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | BACKING MATERIAL 0925 STERLING SILVER, DARK BLUE CRYSTAL | |
| 9455 | Sapphire Necklace - Antique Sterling Silver | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | CHAIN MATERIAL BLACK FLAT LEATHER, DARK BLUE CRYSTAL, MENS GIFT, MENS NECKLACE | |
| 9458 | Raw Sapphire Sterling Silver Pendant | 0 | PENDANT NECKLACE | -40755 | DARK BLUE CRYSTAL | ||
| 9454 | Sapphire and Pearl - Sterling Silver Necklace | -2197948 | PEARL, 12TH ANNIVERSARY | -2238703 | SAPPHIRE | ||
| 9416 | Raw Sapphire Necklace in White Gold Plated (Dark Silver) | -2898235 | SILVER, CRYSTAL NECKLACE, WOMEN | -2938990 | DARK BLUE CRYSTAL, MENS NECKLACE | ||
| 9367 | Iolite Sapphire Stud Earrings | -2928893 | STUD EARRINGS, WOMEN | -2969648 | BACKING MATERIAL 0925 STERLING SILVER, DARK BLUE CRYSTAL, JAM'S EDITS |