Fold 0 - Understanding why coefficient -40755 was selected
Tag: 19TH ANNIVERSARY
Selected Coefficient: -40755
Taxonomy Path: -1.6.8
Taxonomy Name:
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? |
|---|---|---|---|---|---|
| -40755 | 2.000397 | -1.6.8 | -8.6.1 (-(8*71^2 + 6*71 + 1)) | Yes | |
| -35714 | 2.000397 | -1.6.7 | -7.6.1 (-(7*71^2 + 6*71 + 1)) | No | |
| -25632 | 2.000397 | -1.6.5 | -5.6.1 (-(5*71^2 + 6*71 + 1)) | No | |
| 0 | 4.000000 | 0 | 0 (0) | No | |
| 40755 | 4.000000 | 1.6.8 | 8.6.1 (8*71^2 + 6*71 + 1) | Apparel & Accessories > Jewelry > Necklaces | No |
These are the training products that have the "19TH ANNIVERSARY" tag (processing sequence 268). 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 |
|---|---|---|---|---|---|---|---|
| 9012 | Blue Topaz - Rose Gold | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 81510 | CHAIN LENGTH 18", LIGHT BLUE | |
| 9011 | Blue Topaz Pendant - Sterling Silver | 0 | PENDANT NECKLACE | 40755 | Apparel & Accessories > Jewelry > Necklaces | BACKING MATERIAL 0925 STERLING SILVER, LIGHT BLUE | |
| 9013 | Raw Topaz - Sterling Silver Plated | -25632 | CHARM NECKLACE, PENDANT NECKLACE | 15123 | none | ||
| 9120 | Men's Raw Aquamarine Antique Bronze Necklace | -35714 | ANTIQUE BRONZE, PENDANT NECKLACE, 16TH ANNIVERSARY | 5041 | none | ||
| 9243 | Raw Aquamarine Earrings - Sterling Silver Wire Wrapped Earrings | -40755 | STUD EARRINGS, 16TH ANNIVERSARY | 0 | none |