Fold 1 - Understanding why coefficient -4360537 was selected
Tag: CAT
Selected Coefficient: -4360537
Taxonomy Path: -1.1.13.12
Taxonomy Name:
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| -4360537 | 2.000000 | -1.1.13.12 | -12.13.1.1 (-(12*71^3 + 13*71^2 + 71 + 1)) | Yes | |
| -6926478 | 4.000000 | -2.2.25.19 | -19.25.2.2 (-(19*71^3 + 25*71^2 + 2*71 + 2)) | No | |
| 0 | 4.000000 | 0 | 0 (0) | No |
These are the training products that have the "CAT" tag (processing sequence 548). 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 |
|---|---|---|---|---|---|---|---|
| 5521 | Airbrush Pet Portrait With Purple Design | 0 | DESIGN | 4360537 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | none | |
| 5513 | Airbrush Pet Portrait With Blue Design | -4360537 | DESIGN, WHITE | 0 | none | ||
| 5522 | Airbrush Pet Portrait Design | -4360537 | DESIGN, WHITE | 0 | none | ||
| 5534 | Airbrush Pet Portrait Shirt Design | -4360537 | DESIGN, WHITE | 0 | none | ||
| 5512 | Airbrush Pet Portrait With Green Design | -6926478 | DESIGN, WHITE, GREEN | -2565941 | none |