Fold 0 - Understanding why coefficient 1192641 was selected
Tag: BEVERAGE NAPKINS
Selected Coefficient: 1192641
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: 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? |
|---|---|---|---|---|---|
| 1192641 | 1.024096 | 14.10.7.2 | 2.7.10.14 (2*83^3 + 7*83^2 + 10*83 + 14) | Home & Garden > Household Supplies > Household Paper Products > Paper Napkins | Yes |
| 69817 | 1.048195 | 14.11.10 | 10.11.14 (10*83^2 + 11*83 + 14) | No | |
| 4644113 | 1.048195 | 14.11.10.8 | 8.10.11.14 (8*83^3 + 10*83^2 + 11*83 + 14) | No | |
| 4 | 6.000000 | 4 | 4 (4) | No |
These are the training products that have the "BEVERAGE NAPKINS" tag (processing sequence 4128). 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 | 4644113 | none | 3451472 | none | ||
| 13015 | Hot Wheels Beverage Napkins | 16 ct | 1192641 | Home & Garden > Household Supplies > Household Paper Products > Paper Napkins | none | 0 | none | |
| 12926 | Modern Birthday Beverage Napkins | 16 ct | 1192641 | Home & Garden > Household Supplies > Household Paper Products > Paper Napkins | none | 0 | none | |
| 13230 | Sparkling Celebration "30" Beverage Napkins | 16 ct | 1192641 | Home & Garden > Household Supplies > Household Paper Products > Paper Napkins | none | 0 | none | |
| 13240 | Sparkling Celebration "60" Beverage Napkins | 16 ct | 1192641 | Home & Garden > Household Supplies > Household Paper Products > Paper Napkins | none | 0 | none | |
| 13084 | Pawsome Party Shaped Beverage Napkins, Assorted | 16 ct | 69817 | none | -1122824 | none | ||
| 13412 | Little Miss One-derful First Birthday Beverage Napkins | 16 ct | 4 | none | -1192637 | LITTLE MISS ONE-DERFUL |