Fold 0 - Understanding why coefficient 20931 was selected
Tag: BAGS AND TOTES
Selected Coefficient: 20931
Taxonomy Path: 15.3.3
Taxonomy Name:
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| 20931 | 0.024242 | 15.3.3 | 3.3.15 (3*83^2 + 3*83 + 15) | Yes | |
| 27820 | 0.024387 | 15.3.4 | 4.3.15 (4*83^2 + 3*83 + 15) | No | |
| 762 | 0.036145 | 15.9 | 9.15 (9*83 + 15) | No |
These are the training products that have the "BAGS AND TOTES" tag (processing sequence 5578). 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 |
|---|---|---|---|---|---|---|---|
| 17880 | Gentlemen's Toiletry Bag | 27820 | none | 6889 | BOY OTHER | ||
| 17788 | Beauty Case - Flower Bloom | 20931 | none | 0 | none | ||
| 18070 | Make Up Bag - Vogue | 20931 | none | 0 | none | ||
| 17944 | Magical Unicorn Travel Cushion | 762 | none | -20169 | GENDER_UNISEX | ||
| 18124 | Card Holder Wallet | 762 | none | -20169 | none |