Fold 3 - Understanding why coefficient 18975 was selected
Tag: MERCH
Selected Coefficient: 18975
Taxonomy Path: 15.3.3
Taxonomy Name: Luggage & Bags > Cosmetic & Toiletry Bags > Makeup Bags
Products with this tag: 2
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? |
|---|---|---|---|---|---|
| 18975 | 1.000000 | 15.3.3 | 3.3.15 (3*79^2 + 3*79 + 15) | Luggage & Bags > Cosmetic & Toiletry Bags > Makeup Bags | Yes |
| 149943 | 1.000000 | 1.2.24 | 24.2.1 (24*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Pinback Buttons | No |
These are the training products that have the "MERCH" tag (processing sequence 3361). 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 |
|---|---|---|---|---|---|---|---|
| 10050 | Alchimie Forever Lab Coat Pin (Wholesale) | 149943 | Apparel & Accessories > Clothing Accessories > Pinback Buttons | none | 130968 | none | |
| 10056 | Cosmetics Case (Wholesale) | 18975 | Luggage & Bags > Cosmetic & Toiletry Bags > Makeup Bags | none | 0 | none |