Fold 3 - Understanding why coefficient -2797600 was selected
Tag: HAMPTON
Selected Coefficient: -2797600
Taxonomy Path: -58.68.57.7
Taxonomy Name:
Products with this tag: 2
Unique residual values tried: 2
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? |
|---|---|---|---|---|---|
| -2797600 | 1.000000 | -58.68.57.7 | -7.57.68.58 (-(7*71^3 + 57*71^2 + 68*71 + 58)) | Yes | |
| 131293 | 1.000000 | 14.3.26 | 26.3.14 (26*71^2 + 3*71 + 14) | Home & Garden > Decor > Door Mats | No |
These are the training products that have the "HAMPTON" tag (processing sequence 1371). 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 |
|---|---|---|---|---|---|---|---|
| 8335 | Customised Wreath Doormat | 131293 | Home & Garden > Decor > Door Mats | none | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none |
| 8352 | Stripe Doormat with Heart | -2797600 | NAVY | 0 | none |