Fold 0 - Understanding why coefficient -49928 was selected
Tag: HATS
Selected Coefficient: -49928
Taxonomy Path: -0.0.8
Taxonomy Name:
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? |
|---|---|---|---|---|---|
| -49928 | 2.000000 | -0.0.8 | -8.0.0 (-(8*79^2)) | Yes | |
| 6479 | 2.000000 | 1.3.1 | 1.3.1 (6241 + 3*79 + 1) | Apparel & Accessories > Costumes & Accessories > Costume Accessories | No |
| 3488879 | 2.000000 | 2.2.6.7 | 7.6.2.2 (7*79^3 + 6*79^2 + 2*79 + 2) | Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Hats | No |
These are the training products that have the "HATS" tag (processing sequence 3705). 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 |
|---|---|---|---|---|---|---|---|
| 10601 | Happy Birthday Cake Dog Hat | 3488879 | Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Hats | none | 3538807 | none | |
| 13012 | Horse Head Hat | 1 ct | 6479 | Apparel & Accessories > Costumes & Accessories > Costume Accessories | none | 56407 | none | |
| 12892 | Adventure Birthday Bear Hats 6.5" | 8 ct | -49928 | WEARABLES | 0 | none |