Fold 4 - Understanding why coefficient 15351 was selected
Tag: BAG
Selected Coefficient: 15351
Taxonomy Path: 15.3.3
Taxonomy Name: Luggage & Bags > Cosmetic & Toiletry Bags > Makeup Bags
Products with this tag: 3
Unique residual values tried: 3
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? |
|---|---|---|---|---|---|
| 15351 | 1.014085 | 15.3.3 | 3.3.15 (3*71^2 + 3*71 + 15) | Luggage & Bags > Cosmetic & Toiletry Bags > Makeup Bags | Yes |
| 3270985 | 1.014085 | 15.62.9.9 | 9.9.62.15 (9*71^3 + 9*71^2 + 62*71 + 15) | No | |
| -2927955 | 2.000000 | -57.58.12.8 | -8.12.58.57 (-(8*71^3 + 12*71^2 + 58*71 + 57)) | No |
These are the training products that have the "BAG" tag (processing sequence 123). 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 |
|---|---|---|---|---|---|---|---|
| 10255 | MICHAEL KORS Wallet on chain crossbody bag | 3270985 | SILVER, WALLET | 3255634 | none | ||
| 7939 | Luxe Lash Pouch | 15351 | Luggage & Bags > Cosmetic & Toiletry Bags > Makeup Bags | none | 0 | none | |
| 10256 | HOBO International Explorer Bag | -2927955 | BLACK | -2943306 | none |