Fold 0 - Understanding why coefficient 18 was selected
Tag: SPOD
Selected Coefficient: 18
Taxonomy Path: 18
Taxonomy Name: Office Supplies
Products with this tag: 4
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? |
|---|---|---|---|---|---|
| 18 | 1.012658 | 18 | 18 (18) | Office Supplies | Yes |
| 25298 | 1.025316 | 18.4.4 | 4.4.18 (4*79^2 + 4*79 + 18) | Office Supplies > General Office Supplies > Labels & Tags | No |
| 4025525 | 3.000000 | 1.1.13.8 | 8.13.1.1 (8*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | No |
These are the training products that have the "SPOD" tag (processing sequence 3243). 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 |
|---|---|---|---|---|---|---|---|
| 10940 | Come And Take It Womens T-Shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 4025507 | none | |
| 5348 | West Vigo HS Vikings Surf Shop - Sticker (Indoor/Outdoor) | 25298 | Office Supplies > General Office Supplies > Labels & Tags | none | 25280 | none | |
| 5392 | Wiley HS Red Streaks - center court design - Sticker (Indoor/Outdoor) | 18 | Office Supplies | none | 0 | none | |
| 5411 | Wiley HS Red Streaks - Wiley W - Sticker (Indoor/Outdoor) | 18 | Office Supplies | none | 0 | none |