Fold 2 - Understanding why coefficient 13081611 was selected
Tag: PUPPY
Selected Coefficient: 13081611
Taxonomy Path: 3.3.39.36
Taxonomy Name:
Products with this tag: 8
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? |
|---|---|---|---|---|---|
| 13081611 | 5.000003 | 3.3.39.36 | 36.39.3.3 (36*71^3 + 39*71^2 + 3*71 + 3) | Yes | |
| 11649967 | 5.000006 | 3.3.39.32 | 32.39.3.3 (32*71^3 + 39*71^2 + 3*71 + 3) | No | |
| 3513079 | 7.000000 | 70.63.57.9 | 9.57.63.70 (9*71^3 + 57*71^2 + 63*71 + 70) | No | |
| -653 | 7.000000 | -14.9 | -9.14 (-(9*71 + 14)) | No | |
| 7289430 | 7.000000 | 2.2.26.20 | 20.26.2.2 (20*71^3 + 26*71^2 + 2*71 + 2) | No | |
| 4360537 | 7.000000 | 1.1.13.12 | 12.13.1.1 (12*71^3 + 13*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | No |
| 1527133 | 7.000000 | 65.66.18.4 | 4.18.66.65 (4*71^3 + 18*71^2 + 66*71 + 65) | No |
These are the training products that have the "PUPPY" tag (processing sequence 1909). 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 |
|---|---|---|---|---|---|---|---|
| 9363 | Airbrush Purple Pet Portrait Design | 13081611 | DESIGN, BLACK, PURPLE, DOG | 0 | none | ||
| 9364 | Airbrush Pet Portrait with Purple Design | 13081611 | DESIGN, BLACK, PURPLE, DOG | 0 | none | ||
| 5502 | Airbrush Pet Portrait With Purple Design | 11649967 | DESIGN, BLACK, PURPLE, CAT | -1431644 | none | ||
| 5511 | Airbrush Pet Splatter Portrait Design | 7289430 | DESIGN, BLACK, BLUE, YELLOW, ORANGE, SPLATTER, DOG | -5792181 | none | ||
| 9362 | Airbrush Dog Portrait w/ Name Design | 4360537 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | DESIGN, BLACK, DOG | -8721074 | none | |
| 5510 | Airbrush Pet Portrait With Rainbow Design | 3513079 | DESIGN, BLACK, BLUE, PINK, PURPLE, RAINBOW, ORANGE, DOG | -9568532 | none | ||
| 7505 | 1" Puppy - Assorted | 1527133 | COLORFUL, COLOR_ASSORTED, DOG TAG | -11554478 | none | ||
| 5509 | Airbrush Pet Portrait With Blue Design | -653 | DESIGN, BLACK, BLUE, DOG, GRAY | -13082264 | none |