Fold 0 - Understanding why coefficient -40755 was selected
Tag: DARK BLUE CRYSTAL
Selected Coefficient: -40755
Taxonomy Path: -1.6.8
Taxonomy Name:
Products with this tag: 7
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 | 5.000000 | -1.6.8 | -8.6.1 (-(8*71^2 + 6*71 + 1)) | Yes | |
| 0 | 5.000000 | 0 | 0 (0) | No | |
| -3010403 | 6.000000 | -3.13.29.8 | -8.29.13.3 (-(8*71^3 + 29*71^2 + 13*71 + 3)) | No | |
| -2938990 | 6.000000 | -16.1.15.8 | -8.15.1.16 (-(8*71^3 + 15*71^2 + 71 + 16)) | No | |
| 2928893 | 6.000000 | 1.1.13.8 | 8.13.1.1 (8*71^3 + 13*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | No |
These are the training products that have the "DARK BLUE CRYSTAL" tag (processing sequence 1021). 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 |
|---|---|---|---|---|---|---|---|
| 9455 | Sapphire Necklace - Antique Sterling Silver | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | 23RD ANNIVERSARY, CHAIN MATERIAL BLACK FLAT LEATHER | 2969648 | MENS GIFT, MENS NECKLACE | |
| 9355 | Lapis Lazuli Stud Earrings | 0 | STUD EARRINGS | 40755 | Apparel & Accessories > Jewelry > Necklaces | JAM'S EDITS | |
| 9277 | Blue Apatite Stud Earrings | 0 | STUD EARRINGS | 40755 | Apparel & Accessories > Jewelry > Necklaces | JAM'S EDITS | |
| 9458 | Raw Sapphire Sterling Silver Pendant | -40755 | PENDANT NECKLACE, 23RD ANNIVERSARY | 0 | none | ||
| 9417 | Raw Sapphire Necklace - Sterling Silver | -40755 | 23RD ANNIVERSARY, BACKING MATERIAL 0925 STERLING SILVER | 0 | none | ||
| 9416 | Raw Sapphire Necklace in White Gold Plated (Dark Silver) | -2938990 | SILVER, CRYSTAL NECKLACE, WOMEN, 23RD ANNIVERSARY | -2898235 | MENS NECKLACE | ||
| 9367 | Iolite Sapphire Stud Earrings | -3010403 | STUD EARRINGS, WOMEN, 23RD ANNIVERSARY, BACKING MATERIAL 0925 STERLING SILVER | -2969648 | JAM'S EDITS |