Fold 4 - Understanding why coefficient 2928893 was selected
Tag: PUPPY
Selected Coefficient: 2928893
Taxonomy Path: 1.1.13.8
Taxonomy Name: Apparel & Accessories > Clothing > Clothing Tops > T-Shirts
Products with this tag: 7
Unique residual values tried: 7
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 | 5.014085 | 1.1.13.8 | 8.13.1.1 (8*71^3 + 13*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | Yes |
| 8932369 | 5.014085 | 1.67.67.24 | 24.67.67.1 (24*71^3 + 67*71^2 + 67*71 + 1) | No | |
| 1431644 | 6.000000 | 0.0.0.4 | 4.0.0.0 (4*71^3) | No | |
| -45796 | 6.000000 | -1.6.9 | -9.6.1 (-(9*71^2 + 6*71 + 1)) | No | |
| 7304191 | 6.000000 | 66.67.28.20 | 20.28.67.66 (20*71^3 + 28*71^2 + 67*71 + 66) | No | |
| 10218323 | 6.000000 | 3.3.39.28 | 28.39.3.3 (28*71^3 + 39*71^2 + 3*71 + 3) | No | |
| -653 | 6.000000 | -14.9 | -9.14 (-(9*71 + 14)) | No |
These are the training products that have the "PUPPY" tag (processing sequence 1904). 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 |
|---|---|---|---|---|---|---|---|
| 5511 | Airbrush Pet Splatter Portrait Design | 10218323 | DESIGN, BLUE, BLACK, PET, SPLATTER | 7289430 | none | ||
| 7506 | 1.5" 'Fetch' Bone | 8932369 | COLOR_BLACK, DOG TAG | 6003476 | none | ||
| 7505 | 1" Puppy - Assorted | 7304191 | COLORFUL, COLOR_ASSORTED, DOG TAG | 4375298 | none | ||
| 5502 | Airbrush Pet Portrait With Purple Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | DESIGN, BLACK, PET, CAT | 0 | none | |
| 9361 | Airbrush Pet Portrait Shirt Design | 1431644 | DESIGN, BLACK, PET, WHITE | -1497249 | none | ||
| 5509 | Airbrush Pet Portrait With Blue Design | -653 | DESIGN, BLUE, BLACK, PET, GRAY | -2929546 | none | ||
| 5510 | Airbrush Pet Portrait With Rainbow Design | -45796 | DESIGN, BLUE, BLACK, PET, RAINBOW | -2974689 | none |