Fold 0 - Understanding why coefficient 76278 was selected
Tag: MATTE BLACK
Selected Coefficient: 76278
Taxonomy Path: 1.6.11
Taxonomy Name:
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? |
|---|---|---|---|---|---|
| 76278 | 2.000000 | 1.6.11 | 11.6.1 (11*83^2 + 6*83 + 1) | Yes | |
| 0 | 3.000000 | 0 | 0 (0) | No | |
| 3997962369 | 3.000000 | 26.1.4.20.1.1 | 1.1.20.4.1.26 (3939040643 + 47458321 + 20*83^3 + 4*83^2 + 83 + 26) | No |
These are the training products that have the "MATTE BLACK" tag (processing sequence 4794). 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 |
|---|---|---|---|---|---|---|---|
| 10564 | RF1 Matte Black | 3997962369 | none | 3997886091 | none | ||
| 11911 | Matte Black / White | 76278 | none | 0 | none | ||
| 11912 | Matte Black / Black Silicone | 76278 | none | 0 | none | ||
| 7000 | CS12 Black Two Tone | 0 | CS SERIES | -76278 | none |