Fold 2 - Understanding why coefficient -7289430 was selected
Tag: DOG
Selected Coefficient: -7289430
Taxonomy Path: -2.2.26.20
Taxonomy Name:
Products with this tag: 11
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? |
|---|---|---|---|---|---|
| -7289430 | 8.000000 | -2.2.26.20 | -20.26.2.2 (-(20*71^3 + 26*71^2 + 2*71 + 2)) | Yes | |
| 5792181 | 8.000003 | 1.1.13.16 | 16.13.1.1 (16*71^3 + 13*71^2 + 71 + 1) | No | |
| 2928893 | 8.000006 | 1.1.13.8 | 8.13.1.1 (8*71^3 + 13*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | No |
| 0 | 9.000000 | 0 | 0 (0) | No | |
| -2928893 | 10.000000 | -1.1.13.8 | -8.13.1.1 (-(8*71^3 + 13*71^2 + 71 + 1)) | No | |
| -3776351 | 10.000000 | -3.9.39.10 | -10.39.9.3 (-(10*71^3 + 39*71^2 + 9*71 + 3)) | No | |
| -14654547 | 10.000000 | -5.5.67.40 | -40.67.5.5 (-(40*71^3 + 67*71^2 + 5*71 + 5)) | No |
These are the training products that have the "DOG" tag (processing sequence 158). 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 |
|---|---|---|---|---|---|---|---|
| 9364 | Airbrush Pet Portrait with Purple Design | 5792181 | DESIGN, BLACK, PURPLE | 13081611 | PUPPY | ||
| 9363 | Airbrush Purple Pet Portrait Design | 5792181 | DESIGN, BLACK, PURPLE | 13081611 | PUPPY | ||
| 4905 | Because People Are The Worst | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 10218323 | none | |
| 5511 | Airbrush Pet Splatter Portrait Design | 0 | DESIGN, BLACK, BLUE, YELLOW, ORANGE, SPLATTER | 7289430 | PUPPY | ||
| 7205 | I LOVE MY DOG TRUCKER MESH CAP | 0 | BLACK, MESH, CAP | 7289430 | GRAY, ADJUSTABLE, EMBROIDERED | ||
| 9362 | Airbrush Dog Portrait w/ Name Design | -2928893 | DESIGN, BLACK | 4360537 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | PUPPY | |
| 5510 | Airbrush Pet Portrait With Rainbow Design | -3776351 | DESIGN, BLACK, BLUE, PINK, PURPLE, RAINBOW, ORANGE | 3513079 | PUPPY | ||
| 5509 | Airbrush Pet Portrait With Blue Design | -7289430 | DESIGN, BLACK, BLUE | 0 | GRAY, PUPPY | ||
| 9376 | Airbrush Memorial Pet Shirt Design | -7289430 | DESIGN, BLACK, BLUE | 0 | none | ||
| 9378 | Airbrush Pet w/ Wings Shirt Design | -7289430 | DESIGN, BLACK, BLUE | 0 | none | ||
| 9377 | Airbrush In Loving Memory Pet Shirt Design | -14654547 | DESIGN, BLACK, BLUE, PINK, GREEN, NEON | -7365117 | CAT |