Fold 0 - Understanding why coefficient -2928893 was selected
Tag: CAT
Selected Coefficient: -2928893
Taxonomy Path: -1.1.13.8
Taxonomy Name:
Products with this tag: 8
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? |
|---|---|---|---|---|---|
| -2928893 | 3.000000 | -1.1.13.8 | -8.13.1.1 (-(8*71^3 + 13*71^2 + 71 + 1)) | Yes | |
| 0 | 6.000000 | 0 | 0 (0) | No | |
| 2928893 | 7.000000 | 1.1.13.8 | 8.13.1.1 (8*71^3 + 13*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | No |
These are the training products that have the "CAT" tag (processing sequence 830). 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 | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | DESIGN, PET | 5857786 | none | |
| 5502 | Airbrush Pet Portrait With Purple Design | 0 | DESIGN, BLACK, PET | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | |
| 9377 | Airbrush In Loving Memory Pet Shirt Design | 0 | DESIGN, BLACK, PET, GREEN, NEON | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | |
| 5522 | Airbrush Pet Portrait Design | -2928893 | DESIGN, BLACK, PET, WHITE | 0 | none | ||
| 5534 | Airbrush Pet Portrait Shirt Design | -2928893 | DESIGN, BLACK, PET, WHITE | 0 | none | ||
| 9358 | Airbrush Pet Portrait Design | -2928893 | DESIGN, BLACK, PET, WHITE | 0 | none | ||
| 9360 | Airbrush Green Pet Portrait Shirt Design | -2928893 | DESIGN, BLACK, PET, WHITE | 0 | none | ||
| 5512 | Airbrush Pet Portrait With Green Design | -2928893 | DESIGN, PET, WHITE, GREEN | 0 | none |