Fold 3 - 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: 5
Unique residual values tried: 5
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 | 2.012660 | 14.11.8 | 8.11.14 (8*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Kitchen Tools & Utensils | Yes |
| 83867441 | 2.012660 | 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 |
| 7926874 | 2.025316 | 14.10.6.16 | 16.6.10.14 (16*79^3 + 6*79^2 + 10*79 + 14) | Home & Garden > Household Supplies > Household Cleaning Supplies > Shop Towels & General-Purpose Cleaning Cloths | No |
| 0 | 3.012658 | 0 | 0 (0) | No | |
| 121337443 | 3.012658 | 0.78.7.9.3 | 3.9.7.78.0 (3*79^4 + 9*79^3 + 7*79^2 + 78*79) | No |
These are the training products that have the "CLEANING ESSENTIALS" tag (processing sequence 3686). 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 | 121337443 | KITCHEN MAINTENANCE & ORGANIZATION | 121286632 | 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 | |
| 15121 | Microfiber Cleaning Cloths - 12 Pack of Highly Absorbent, Soft Microfiber Cloths | 7926874 | Home & Garden > Household Supplies > Household Cleaning Supplies > Shop Towels & General-Purpose Cleaning Cloths | none | 7876063 | none | |
| 14926 | Waffle Weave Kitchen Towels | 50811 | Home & Garden > Kitchen & Dining > Kitchen Tools & Utensils | none | 0 | none | |
| 15022 | Kitchen Towels | 0 | KITCHEN MAINTENANCE & ORGANIZATION | -50811 | none |