Fold 3 - Understanding why coefficient 2928893 was selected
Tag: DARK BLUE CRYSTAL
Selected Coefficient: 2928893
Taxonomy Path: 1.1.13.8
Taxonomy Name: Apparel & Accessories > Clothing > Clothing Tops > T-Shirts
Products with this tag: 9
Unique residual values tried: 7
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? |
|---|---|---|---|---|---|
| 2928893 | 6.014085 | 1.1.13.8 | 8.13.1.1 (8*71^3 + 13*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | Yes |
| 40755 | 6.028169 | 1.6.8 | 8.6.1 (8*71^2 + 6*71 + 1) | Apparel & Accessories > Jewelry > Necklaces | No |
| 0 | 7.000000 | 0 | 0 (0) | No | |
| -2928908 | 8.000000 | -16.1.13.8 | -8.13.1.16 (-(8*71^3 + 13*71^2 + 71 + 16)) | No | |
| -55878 | 8.000000 | -1.6.11 | -11.6.1 (-(11*71^2 + 6*71 + 1)) | No | |
| 2969648 | 8.000000 | 2.7.21.8 | 8.21.7.2 (8*71^3 + 21*71^2 + 7*71 + 2) | No | |
| 3010403 | 8.000000 | 3.13.29.8 | 8.29.13.3 (8*71^3 + 29*71^2 + 13*71 + 3) | No |
These are the training products that have the "DARK BLUE CRYSTAL" tag (processing sequence 1023). 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 |
|---|---|---|---|---|---|---|---|
| 9087 | Men's Lapis Lazuli Point in Antique Bronze - With Black Leather Cord | 3010403 | 7TH ANNIVERSARY | 81510 | none | ||
| 9355 | Lapis Lazuli Stud Earrings | 2969648 | STUD EARRINGS, 7TH ANNIVERSARY | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | |
| 9464 | Sapphire Stud Earrings: 14k Gold Filled | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | STUD EARRINGS, 2021 JEWELRY SET, BACKING MATERIAL 14K GOLD | 0 | none | |
| 9455 | Sapphire Necklace - Antique Sterling Silver | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | 2021 JEWELRY SET, CHAIN MATERIAL BLACK FLAT LEATHER | 0 | none | |
| 9277 | Blue Apatite Stud Earrings | 40755 | Apparel & Accessories > Jewelry > Necklaces | STUD EARRINGS, 2ND ANNIVERSARY | -2888138 | none | |
| 9417 | Raw Sapphire Necklace - Sterling Silver | 0 | 2021 JEWELRY SET | -2928893 | RAW CRYSTAL, WOMENS NECKLACE | ||
| 9367 | Iolite Sapphire Stud Earrings | 0 | STUD EARRINGS, WOMEN, 2021 JEWELRY SET, BACKING MATERIAL 14K GOLD | -2928893 | RAW CRYSTAL | ||
| 9458 | Raw Sapphire Sterling Silver Pendant | -55878 | PENDANT NECKLACE, 2021 JEWELRY SET | -2984771 | WOMENS NECKLACE | ||
| 9416 | Raw Sapphire Necklace in White Gold Plated (Dark Silver) | -2928908 | SILVER, CRYSTAL NECKLACE, WOMEN, 2021 JEWELRY SET | -5857801 | RAW CRYSTAL |