Fold 3 - Understanding why coefficient -4360537 was selected
Tag: DOG
Selected Coefficient: -4360537
Taxonomy Path: -1.1.13.12
Taxonomy Name:
Products with this tag: 12
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? |
|---|---|---|---|---|---|
| -4360537 | 5.000003 | -1.1.13.12 | -12.13.1.1 (-(12*71^3 + 13*71^2 + 71 + 1)) | Yes | |
| -2928893 | 5.000017 | -1.1.13.8 | -8.13.1.1 (-(8*71^3 + 13*71^2 + 71 + 1)) | No | |
| 0 | 8.000000 | 0 | 0 (0) | No | |
| 2928893 | 11.000000 | 1.1.13.8 | 8.13.1.1 (8*71^3 + 13*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | No |
These are the training products that have the "DOG" tag (processing sequence 155). 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 |
|---|---|---|---|---|---|---|---|
| 4905 | Because People Are The Worst | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 7289430 | none | |
| 7205 | I LOVE MY DOG TRUCKER MESH CAP | 0 | BLACK, MESH, CAP | 4360537 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | GRAY, ADJUSTABLE, EMBROIDERED | |
| 9364 | Airbrush Pet Portrait with Purple Design | 0 | DESIGN, BLACK, PET | 4360537 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | PUPPY | |
| 9362 | Airbrush Dog Portrait w/ Name Design | 0 | DESIGN, BLACK, PET | 4360537 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | PUPPY | |
| 9363 | Airbrush Purple Pet Portrait Design | 0 | DESIGN, BLACK, PET | 4360537 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | PUPPY | |
| 9361 | Airbrush Pet Portrait Shirt Design | -2928893 | DESIGN, BLACK, PET, WHITE | 1431644 | PUPPY | ||
| 5509 | Airbrush Pet Portrait With Blue Design | -4360537 | DESIGN, BLACK, BLUE, PET | 0 | GRAY, PUPPY | ||
| 9365 | Airbrush Memorial Pet Shirt Design | -4360537 | DESIGN, BLACK, BLUE, PET | 0 | none | ||
| 9378 | Airbrush Pet w/ Wings Shirt Design | -4360537 | DESIGN, BLACK, BLUE, PET | 0 | none | ||
| 9376 | Airbrush Memorial Pet Shirt Design | -4360537 | DESIGN, BLACK, BLUE, PET | 0 | none | ||
| 9377 | Airbrush In Loving Memory Pet Shirt Design | -4360537 | DESIGN, BLACK, BLUE, PET | 0 | CAT | ||
| 9375 | Airbrush Pet w/ Wings And Clouds Memorial Shirt Design | -4360537 | DESIGN, BLACK, BLUE, PET | 0 | none |