Fold 3 - Understanding why coefficient 4360537 was selected
Tag: PUPPY
Selected Coefficient: 4360537
Taxonomy Path: 1.1.13.12
Taxonomy Name: Apparel & Accessories > Clothing > Clothing Tops > Sweaters
Products with this tag: 8
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? |
|---|---|---|---|---|---|
| 4360537 | 4.000003 | 1.1.13.12 | 12.13.1.1 (12*71^3 + 13*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | Yes |
| 2928893 | 4.000008 | 1.1.13.8 | 8.13.1.1 (8*71^3 + 13*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | No |
| -653 | 7.000000 | -14.9 | -9.14 (-(9*71 + 14)) | No | |
| 327303 | 7.000000 | 64.65.64 | 64.65.64 (64*71^2 + 65*71 + 64) | No | |
| 1431644 | 7.000000 | 0.0.0.4 | 4.0.0.0 (4*71^3) | No | |
| 10369204 | 7.000000 | 9.69.68.28 | 28.68.69.9 (28*71^3 + 68*71^2 + 69*71 + 9) | No |
These are the training products that have the "PUPPY" tag (processing sequence 1915). 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 |
|---|---|---|---|---|---|---|---|
| 7506 | 1.5" 'Fetch' Bone | 10369204 | COLOR_BLACK, DOG TAG | 6008667 | none | ||
| 9362 | Airbrush Dog Portrait w/ Name Design | 4360537 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | DESIGN, BLACK, PET, DOG | 0 | none | |
| 9364 | Airbrush Pet Portrait with Purple Design | 4360537 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | DESIGN, BLACK, PET, DOG | 0 | none | |
| 9363 | Airbrush Purple Pet Portrait Design | 4360537 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | DESIGN, BLACK, PET, DOG | 0 | none | |
| 5502 | Airbrush Pet Portrait With Purple Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | DESIGN, BLACK, PET, CAT | -1431644 | none | |
| 9361 | Airbrush Pet Portrait Shirt Design | 1431644 | DESIGN, BLACK, PET, WHITE, DOG | -2928893 | none | ||
| 7505 | 1" Puppy - Assorted | 327303 | COLORFUL, COLOR_ASSORTED, DOG TAG | -4033234 | none | ||
| 5509 | Airbrush Pet Portrait With Blue Design | -653 | DESIGN, BLACK, BLUE, PET, DOG, GRAY | -4361190 | none |