Fold 0 - Understanding why coefficient 967606 was selected
Tag: MODERN BIRTHDAY
Selected Coefficient: 967606
Taxonomy Path: 14.3.76.1
Taxonomy Name: Home & Garden > Decor > Wreaths & Garlands > Garlands
Products with this tag: 4
Unique residual values tried: 4
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? |
|---|---|---|---|---|---|
| 967606 | 2.012658 | 14.3.76.1 | 1.76.3.14 (493039 + 76*79^2 + 3*79 + 14) | Home & Garden > Decor > Wreaths & Garlands > Garlands | Yes |
| 1030569 | 2.012658 | 14.10.7.2 | 2.7.10.14 (2*79^3 + 7*79^2 + 10*79 + 14) | Home & Garden > Household Supplies > Household Paper Products > Paper Napkins | No |
| 0 | 3.000000 | 0 | 0 (0) | No | |
| 6479 | 3.000000 | 1.3.1 | 1.3.1 (6241 + 3*79 + 1) | Apparel & Accessories > Costumes & Accessories > Costume Accessories | No |
These are the training products that have the "MODERN BIRTHDAY" tag (processing sequence 2668). 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 |
|---|---|---|---|---|---|---|---|
| 13041 | Modern Birthday Luncheon Napkins | 16ct | 1030569 | Home & Garden > Household Supplies > Household Paper Products > Paper Napkins | none | 62963 | none | |
| 13040 | Modern Birthday Letter Banner, 12' | 1 ct | 967606 | Home & Garden > Decor > Wreaths & Garlands > Garlands | none | 0 | none | |
| 13042 | Modern Birthday Mini Foil Cone Hats, Assortment 4" | 12 ct | 6479 | Apparel & Accessories > Costumes & Accessories > Costume Accessories | none | -961127 | none | |
| 12926 | Modern Birthday Beverage Napkins | 16 ct | 0 | BEVERAGE NAPKINS | -967606 | none |