Fold 4 - Understanding why coefficient -4025525 was selected
Tag: CAT
Selected Coefficient: -4025525
Taxonomy Path: -1.1.13.8
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? |
|---|---|---|---|---|---|
| -4025525 | 4.000000 | -1.1.13.8 | -8.13.1.1 (-(8*79^3 + 13*79^2 + 79 + 1)) | Yes | |
| 0 | 5.000000 | 0 | 0 (0) | No | |
| -8051050 | 5.000160 | -2.2.26.16 | -16.26.2.2 (-(16*79^3 + 26*79^2 + 2*79 + 2)) | No | |
| -5617060 | 5.000160 | -2.2.31.11 | -11.31.2.2 (-(11*79^3 + 31*79^2 + 2*79 + 2)) | No |
These are the training products that have the "CAT" tag (processing sequence 163). 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 | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | ANIMAL, NAMES | |
| 5502 | Airbrush Pet Portrait With Purple Design | 0 | DESIGN | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | BOX, ANIMAL, NAMES | |
| 9360 | Airbrush Green Pet Portrait Shirt Design | -4025525 | DESIGN, WHITE | 0 | ANIMAL, NAMES | ||
| 5522 | Airbrush Pet Portrait Design | -4025525 | DESIGN, WHITE | 0 | ANIMAL, NAMES | ||
| 5534 | Airbrush Pet Portrait Shirt Design | -4025525 | DESIGN, WHITE | 0 | ANIMAL, NAMES, NEON YELLOW | ||
| 5513 | Airbrush Pet Portrait With Blue Design | -5617060 | DESIGN, WHITE, ORANGE | -1591535 | BLUE, ANIMAL, NAMES, TAN | ||
| 5512 | Airbrush Pet Portrait With Green Design | -8051050 | DESIGN, GREEN, WHITE | -4025525 | ANIMAL, NAMES |