Fold 3 - Understanding why coefficient 69817 was selected
Tag: NAPKINS
Selected Coefficient: 69817
Taxonomy Path: 14.11.10
Taxonomy Name:
Products with this tag: 9
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? |
|---|---|---|---|---|---|
| 69817 | 3.012048 | 14.11.10 | 10.11.14 (10*83^2 + 11*83 + 14) | Yes | |
| 1192641 | 3.060241 | 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 | No |
| 48893 | 6.000000 | 6.8.7 | 7.8.6 (7*83^2 + 8*83 + 6) | Business & Industrial > Food Service > Disposable Tableware | No |
These are the training products that have the "NAPKINS" tag (processing sequence 4311). 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 |
|---|---|---|---|---|---|---|---|
| 13104 | Safari Binoculars Shaped Napkins | 24 ct | 1192641 | Home & Garden > Household Supplies > Household Paper Products > Paper Napkins | none | 1122824 | none | |
| 24576 | Michel Design Works - White Spruce Hostess Napkin | 69817 | none | 0 | none | ||
| 13114 | Spa Party Beverage Napkins | 16ct | 69817 | none | 0 | none | ||
| 13124 | Spa Party Luncheon Napkins | 16ct | 69817 | none | 0 | none | ||
| 13216 | Carnival Ticket Shaped Napkin, 7.75" x 4.25" | 24 ct | 69817 | none | 0 | none | ||
| 13088 | Pink Birthday Scalloped Beverage Napkins | 24 ct | 69817 | none | 0 | none | ||
| 3222 | NAPKIN/ Dispenser Napkin/ Reddinap/ 2 ply, 6000 per case-Food Service | 48893 | Business & Industrial > Food Service > Disposable Tableware | none | -20924 | none | |
| 3212 | NAPKIN/ Begerage, 10" x 10", Black, 1000/cs-Food Service | 48893 | Business & Industrial > Food Service > Disposable Tableware | none | -20924 | none | |
| 3220 | NAPKIN/ Beverage, 10" x 10", 4000/case-Food Service | 48893 | Business & Industrial > Food Service > Disposable Tableware | none | -20924 | none |