Fold 3 - Understanding why coefficient -2928893 was selected
Tag: PET
Selected Coefficient: -2928893
Taxonomy Path: -1.1.13.8
Taxonomy Name:
Products with this tag: 16
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? |
|---|---|---|---|---|---|
| -2928893 | 8.000003 | -1.1.13.8 | -8.13.1.1 (-(8*71^3 + 13*71^2 + 71 + 1)) | Yes | |
| -4360537 | 8.000020 | -1.1.13.12 | -12.13.1.1 (-(12*71^3 + 13*71^2 + 71 + 1)) | No | |
| -7289430 | 10.000000 | -2.2.26.20 | -20.26.2.2 (-(20*71^3 + 26*71^2 + 2*71 + 2)) | No | |
| 0 | 14.000000 | 0 | 0 (0) | No |
These are the training products that have the "PET" tag (processing sequence 18). 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 | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | CAT | |
| 9359 | Airbrush Cat Portrait Shirt Design | 0 | DESIGN | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | WHITE | |
| 5502 | Airbrush Pet Portrait With Purple Design | -2928893 | DESIGN, BLACK | 0 | CAT, PUPPY | ||
| 5534 | Airbrush Pet Portrait Shirt Design | -2928893 | DESIGN, BLACK | 0 | WHITE, CAT | ||
| 9358 | Airbrush Pet Portrait Design | -2928893 | DESIGN, BLACK | 0 | WHITE, CAT | ||
| 9361 | Airbrush Pet Portrait Shirt Design | -2928893 | DESIGN, BLACK | 0 | WHITE, DOG, PUPPY | ||
| 9362 | Airbrush Dog Portrait w/ Name Design | -2928893 | DESIGN, BLACK | 0 | DOG, PUPPY | ||
| 9363 | Airbrush Purple Pet Portrait Design | -2928893 | DESIGN, BLACK | 0 | DOG, PUPPY | ||
| 9364 | Airbrush Pet Portrait with Purple Design | -2928893 | DESIGN, BLACK | 0 | DOG, PUPPY | ||
| 5513 | Airbrush Pet Portrait With Blue Design | -4360537 | DESIGN, BLUE | -1431644 | WHITE, ORANGE, TAN, CAT | ||
| 9378 | Airbrush Pet w/ Wings Shirt Design | -7289430 | DESIGN, BLACK, BLUE | -4360537 | DOG | ||
| 9377 | Airbrush In Loving Memory Pet Shirt Design | -7289430 | DESIGN, BLACK, BLUE | -4360537 | DOG, CAT | ||
| 5509 | Airbrush Pet Portrait With Blue Design | -7289430 | DESIGN, BLACK, BLUE | -4360537 | DOG, GRAY, PUPPY | ||
| 9375 | Airbrush Pet w/ Wings And Clouds Memorial Shirt Design | -7289430 | DESIGN, BLACK, BLUE | -4360537 | DOG | ||
| 9376 | Airbrush Memorial Pet Shirt Design | -7289430 | DESIGN, BLACK, BLUE | -4360537 | DOG | ||
| 9365 | Airbrush Memorial Pet Shirt Design | -7289430 | DESIGN, BLACK, BLUE | -4360537 | DOG |