Fold 1 - Understanding why coefficient 50811 was selected
Tag: CLEANING ESSENTIALS
Selected Coefficient: 50811
Taxonomy Path: 14.11.8
Taxonomy Name: Home & Garden > Kitchen & Dining > Kitchen Tools & Utensils
Products with this tag: 4
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? |
|---|---|---|---|---|---|
| 50811 | 0.012660 | 14.11.8 | 8.11.14 (8*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Kitchen Tools & Utensils | Yes |
| 83867441 | 0.012662 | 14.11.8.12.2 | 2.12.8.11.14 (2*79^4 + 12*79^3 + 8*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Kitchen Tools & Utensils > Colanders & Strainers > Strainers | No |
| 121388254 | 0.037975 | 14.10.16.9.3 | 3.9.16.10.14 (3*79^4 + 9*79^3 + 16*79^2 + 10*79 + 14) | Home & Garden > Household Supplies > Storage & Organization > Storage Hooks & Racks > Utility Hooks | No |
These are the training products that have the "CLEANING ESSENTIALS" tag (processing sequence 3098). 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 |
|---|---|---|---|---|---|---|---|
| 14973 | Mop and Broom Organizer Wall Mount | 121388254 | Home & Garden > Household Supplies > Storage & Organization > Storage Hooks & Racks > Utility Hooks | none | 121337443 | none | |
| 14899 | Sink Drain Strainer (2 Pack) - Wide Rim 4.5” Diameter | 83867441 | Home & Garden > Kitchen & Dining > Kitchen Tools & Utensils > Colanders & Strainers > Strainers | none | 83816630 | none | |
| 14926 | Waffle Weave Kitchen Towels | 50811 | Home & Garden > Kitchen & Dining > Kitchen Tools & Utensils | none | 0 | none | |
| 15022 | Kitchen Towels | 50811 | Home & Garden > Kitchen & Dining > Kitchen Tools & Utensils | none | 0 | none |