Fold 3 - Understanding why coefficient -25632 was selected
Tag: WOMENS NECKLACE
Selected Coefficient: -25632
Taxonomy Path: -1.6.5
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? |
|---|---|---|---|---|---|
| -25632 | 5.000000 | -1.6.5 | -5.6.1 (-(5*71^2 + 6*71 + 1)) | Yes | |
| 0 | 5.000000 | 0 | 0 (0) | No | |
| -2984771 | 6.000000 | -2.7.24.8 | -8.24.7.2 (-(8*71^3 + 24*71^2 + 7*71 + 2)) | No | |
| 61714 | 6.000000 | 15.17.12 | 12.17.15 (12*71^2 + 17*71 + 15) | No | |
| 3046117 | 6.000000 | 4.19.36.8 | 8.36.19.4 (8*71^3 + 36*71^2 + 19*71 + 4) | No |
These are the training products that have the "WOMENS NECKLACE" tag (processing sequence 2421). 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 |
|---|---|---|---|---|---|---|---|
| 9040 | Citrine Jewelry Gift Set - Sterling Silver Plated Pendant and Raw Stud Earrings | 3046117 | STUD EARRINGS, GIFT FOR HER | 3071749 | none | ||
| 9012 | Blue Topaz - Rose Gold | 61714 | CHAIN LENGTH 18", LIGHT BLUE | 87346 | none | ||
| 9417 | Raw Sapphire Necklace - Sterling Silver | 0 | 2021 JEWELRY SET, DARK BLUE CRYSTAL, RAW CRYSTAL | 25632 | Apparel & Accessories > Jewelry > Charms & Pendants | none | |
| 9441 | Rose Gold Rainbow Moonstone Necklace | 0 | 2021 JEWELRY SET | 25632 | Apparel & Accessories > Jewelry > Charms & Pendants | none | |
| 9014 | Blue Boulder Opal Pendant Necklace - Antique Brass | -25632 | BLUE, CHAIN MATERIAL ANTIQUE BRONZE, PENDANTS | 0 | none | ||
| 8894 | Blue Apatite Necklace - Sterling Silver Plated | -25632 | PENDANT NECKLACE, PENDANTS | 0 | none | ||
| 9458 | Raw Sapphire Sterling Silver Pendant | -2984771 | PENDANT NECKLACE, 2021 JEWELRY SET, DARK BLUE CRYSTAL | -2959139 | none |