Fold 3 - Understanding why coefficient 50654 was selected
Tag: SMALL GIFTS
Selected Coefficient: 50654
Taxonomy Path: 15.9.8
Taxonomy Name: Luggage & Bags > Luggage Accessories > Travel Pouches
Products with this tag: 6
Unique residual values tried: 2
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? |
|---|---|---|---|---|---|
| 50654 | 0.012658 | 15.9.8 | 8.9.15 (8*79^2 + 9*79 + 15) | Luggage & Bags > Luggage Accessories > Travel Pouches | Yes |
| 31457 | 0.063291 | 15.3.5 | 5.3.15 (5*79^2 + 3*79 + 15) | Luggage & Bags > Cosmetic & Toiletry Bags > Travel Organizer Bags | No |
These are the training products that have the "SMALL GIFTS" tag (processing sequence 1812). 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 |
|---|---|---|---|---|---|---|---|
| 10101 | Fabric Sunglasses Quilted Pouch - Silvery Whites | 50654 | Luggage & Bags > Luggage Accessories > Travel Pouches | none | 0 | none | |
| 10102 | Fabric Sunglasses Quilted Pouch - Not Just Black | 50654 | Luggage & Bags > Luggage Accessories > Travel Pouches | none | 0 | none | |
| 10103 | Fabric Sunglasses Quilted Pouch - Chevrons & WindMills | 50654 | Luggage & Bags > Luggage Accessories > Travel Pouches | none | 0 | none | |
| 10111 | Fabric Sunglasses Quilted Pouch - Midnight Copper Orbits | 50654 | Luggage & Bags > Luggage Accessories > Travel Pouches | none | 0 | none | |
| 10112 | Fabric Sunglasses Quilted Pouch - Moonlight Copper Orbits | 50654 | Luggage & Bags > Luggage Accessories > Travel Pouches | none | 0 | none | |
| 10113 | Fabric Sunglasses Quilted Pouch - Moonlight Silver Orbits | 31457 | Luggage & Bags > Cosmetic & Toiletry Bags > Travel Organizer Bags | none | -19197 | none |