Fold 2 - Understanding why coefficient -5857786 was selected
Tag: CAT
Selected Coefficient: -5857786
Taxonomy Path: -2.2.26.16
Taxonomy Name:
Products with this tag: 9
Unique residual values tried: 6
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? |
|---|---|---|---|---|---|
| -5857786 | 5.000000 | -2.2.26.16 | -16.26.2.2 (-(16*71^3 + 26*71^2 + 2*71 + 2)) | Yes | |
| -8106215 | 7.014085 | -3.4.46.22 | -22.46.4.3 (-(22*71^3 + 46*71^2 + 4*71 + 3)) | No | |
| -7365117 | 7.014085 | -3.3.41.20 | -20.41.3.3 (-(20*71^3 + 41*71^2 + 3*71 + 3)) | No | |
| 2863288 | 8.000000 | 0.0.0.8 | 8.0.0.0 (8*71^3) | No | |
| 5792181 | 8.000000 | 1.1.13.16 | 16.13.1.1 (16*71^3 + 13*71^2 + 71 + 1) | No | |
| 8721074 | 8.000000 | 2.2.26.24 | 24.26.2.2 (24*71^3 + 26*71^2 + 2*71 + 2) | No |
These are the training products that have the "CAT" tag (processing sequence 839). 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 | 8721074 | DESIGN, PURPLE | 14578860 | none | ||
| 5502 | Airbrush Pet Portrait With Purple Design | 5792181 | DESIGN, BLACK, PURPLE | 11649967 | PUPPY | ||
| 5522 | Airbrush Pet Portrait Design | 2863288 | DESIGN, BLACK, WHITE, PURPLE | 8721074 | none | ||
| 5512 | Airbrush Pet Portrait With Green Design | -5857786 | DESIGN, WHITE, GREEN | 0 | none | ||
| 5534 | Airbrush Pet Portrait Shirt Design | -5857786 | DESIGN, BLACK, WHITE | 0 | none | ||
| 9358 | Airbrush Pet Portrait Design | -5857786 | DESIGN, BLACK, WHITE | 0 | none | ||
| 9360 | Airbrush Green Pet Portrait Shirt Design | -5857786 | DESIGN, BLACK, WHITE | 0 | none | ||
| 9377 | Airbrush In Loving Memory Pet Shirt Design | -7365117 | DESIGN, BLACK, BLUE, PINK, GREEN, NEON, DOG | -1507331 | none | ||
| 5513 | Airbrush Pet Portrait With Blue Design | -8106215 | DESIGN, BLUE, WHITE, ORANGE, TAN | -2248429 | none |