Fold 1 - Understanding why coefficient 1030569 was selected
Tag: BEVERAGE NAPKINS
Selected Coefficient: 1030569
Taxonomy Path: 14.10.7.2
Taxonomy Name: Home & Garden > Household Supplies > Household Paper Products > Paper Napkins
Products with this tag: 7
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? |
|---|---|---|---|---|---|
| 1030569 | 0.025316 | 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 | Yes |
| 63293 | 0.063293 | 14.11.10 | 10.11.14 (10*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Tableware | No |
| 4007605 | 0.063293 | 14.11.10.8 | 8.10.11.14 (8*79^3 + 10*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Tableware > Serveware Accessories | No |
These are the training products that have the "BEVERAGE NAPKINS" tag (processing sequence 22). 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 |
|---|---|---|---|---|---|---|---|
| 13232 | Sparkling Celebration "40" Beverage Napkins | 16 ct | 4007605 | Home & Garden > Kitchen & Dining > Tableware > Serveware Accessories | none | 2977036 | none | |
| 13015 | Hot Wheels Beverage Napkins | 16 ct | 1030569 | Home & Garden > Household Supplies > Household Paper Products > Paper Napkins | none | 0 | none | |
| 12926 | Modern Birthday Beverage Napkins | 16 ct | 1030569 | Home & Garden > Household Supplies > Household Paper Products > Paper Napkins | none | 0 | MODERN PARTY, MODERN BIRTHDAY | |
| 13230 | Sparkling Celebration "30" Beverage Napkins | 16 ct | 1030569 | Home & Garden > Household Supplies > Household Paper Products > Paper Napkins | none | 0 | none | |
| 13424 | Little Mister One-derful First Birthday Beverage Napkins | 16 ct | 1030569 | Home & Garden > Household Supplies > Household Paper Products > Paper Napkins | none | 0 | none | |
| 13235 | Sparkling Celebration "50" Beverage Napkins | 16 ct | 1030569 | Home & Garden > Household Supplies > Household Paper Products > Paper Napkins | none | 0 | none | |
| 13084 | Pawsome Party Shaped Beverage Napkins, Assorted | 16 ct | 63293 | Home & Garden > Kitchen & Dining > Tableware | none | -967276 | PAWSOME |