Fold 1 - Understanding why coefficient 44325 was selected
Tag: NAPKINS
Selected Coefficient: 44325
Taxonomy Path: 6.8.7
Taxonomy Name: Business & Industrial > Food Service > Disposable Tableware
Products with this tag: 8
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? |
|---|---|---|---|---|---|
| 44325 | 4.000000 | 6.8.7 | 7.8.6 (7*79^2 + 8*79 + 6) | Business & Industrial > Food Service > Disposable Tableware | Yes |
| 63293 | 4.012658 | 14.11.10 | 10.11.14 (10*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Tableware | No |
| 1030569 | 4.037975 | 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 |
These are the training products that have the "NAPKINS" tag (processing sequence 53). 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 | 1030569 | Home & Garden > Household Supplies > Household Paper Products > Paper Napkins | none | 986244 | none | |
| 13216 | Carnival Ticket Shaped Napkin, 7.75" x 4.25" | 24 ct | 63293 | Home & Garden > Kitchen & Dining > Tableware | none | 18968 | Electronics > Circuit Boards & Components > Circuit Prototyping | none |
| 13096 | Princess Scalloped Beverage Napkins | 18 ct | 63293 | Home & Garden > Kitchen & Dining > Tableware | none | 18968 | Electronics > Circuit Boards & Components > Circuit Prototyping | none |
| 13101 | Safari Beverage Napkins | 18 ct | 63293 | Home & Garden > Kitchen & Dining > Tableware | none | 18968 | Electronics > Circuit Boards & Components > Circuit Prototyping | none |
| 3212 | NAPKIN/ Begerage, 10" x 10", Black, 1000/cs-Food Service | 44325 | Business & Industrial > Food Service > Disposable Tableware | none | 0 | none | |
| 3207 | NAPKIN/ Airlaid, 14" x 14", 1000/cs-Food Service | 44325 | Business & Industrial > Food Service > Disposable Tableware | none | 0 | none | |
| 3220 | NAPKIN/ Beverage, 10" x 10", 4000/case-Food Service | 44325 | Business & Industrial > Food Service > Disposable Tableware | none | 0 | none | |
| 3222 | NAPKIN/ Dispenser Napkin/ Reddinap/ 2 ply, 6000 per case-Food Service | 44325 | Business & Industrial > Food Service > Disposable Tableware | none | 0 | none |