Fold 0 - Understanding why coefficient -8721711 was selected
Tag: LAUNDRY
Selected Coefficient: -8721711
Taxonomy Path: -71.2.21.15
Taxonomy Name:
Products with this tag: 3
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? |
|---|---|---|---|---|---|
| -8721711 | 2.000000 | -71.2.21.15 | -15.21.2.71 (-(15*83^3 + 21*83^2 + 2*83 + 71)) | Yes | |
| 69817 | 2.000000 | 14.11.10 | 10.11.14 (10*83^2 + 11*83 + 14) | No | |
| 4403973553 | 2.000000 | 27.14.10.66.9.1 | 1.9.66.10.14.27 (3939040643 + 9*83^4 + 66*83^3 + 10*83^2 + 14*83 + 27) | No |
These are the training products that have the "LAUNDRY" tag (processing sequence 6220). 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 |
|---|---|---|---|---|---|---|---|
| 3173 | Tea Towel & SPRUCE Cloth Gorgeous Gift Sets by The Green Collective | 4403973553 | COMPOSTABLE | 4412695264 | REUSABLE, CLEANING | ||
| 3174 | The Green Collective XOXO Tea Towel | 69817 | none | 8791528 | REUSABLE, CLEANING | ||
| 27080 | Produce Bags / Toy Organic Cotton Mesh Bags Zero Waste | -8721711 | SOCKS, TOYS | 0 | none |