Fold 4 - Understanding why coefficient 1431644 was selected
Tag: CAT
Selected Coefficient: 1431644
Taxonomy Path: 0.0.0.4
Taxonomy Name:
Products with this tag: 7
Unique residual values tried: 4
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? |
|---|---|---|---|---|---|
| 1431644 | 2.000003 | 0.0.0.4 | 4.0.0.0 (4*71^3) | Yes | |
| 0 | 2.000011 | 0 | 0 (0) | No | |
| 4360537 | 6.000000 | 1.1.13.12 | 12.13.1.1 (12*71^3 + 13*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | No |
| 7289430 | 6.000000 | 2.2.26.20 | 20.26.2.2 (20*71^3 + 26*71^2 + 2*71 + 2) | No |
These are the training products that have the "CAT" tag (processing sequence 826). 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 | 7289430 | DESIGN, PET | 5857786 | none | ||
| 5502 | Airbrush Pet Portrait With Purple Design | 4360537 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | DESIGN, BLACK, PET | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | PUPPY |
| 5512 | Airbrush Pet Portrait With Green Design | 1431644 | DESIGN, PET, WHITE, GREEN | 0 | none | ||
| 5522 | Airbrush Pet Portrait Design | 1431644 | DESIGN, BLACK, PET, WHITE | 0 | none | ||
| 5534 | Airbrush Pet Portrait Shirt Design | 1431644 | DESIGN, BLACK, PET, WHITE | 0 | none | ||
| 9360 | Airbrush Green Pet Portrait Shirt Design | 1431644 | DESIGN, BLACK, PET, WHITE | 0 | none | ||
| 5513 | Airbrush Pet Portrait With Blue Design | 0 | DESIGN, BLUE, PET, WHITE | -1431644 | none |