Fold 1 - Understanding why coefficient 4718448 was selected
Tag: HOODIE
Selected Coefficient: 4718448
Taxonomy Path: 1.1.13.13
Taxonomy Name: Apparel & Accessories > Clothing > Clothing Tops > Hoodies
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| 4718448 | 3.000000 | 1.1.13.13 | 13.13.1.1 (13*71^3 + 13*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Hoodies | Yes |
| -3286804 | 4.000000 | -1.1.13.9 | -9.13.1.1 (-(9*71^3 + 13*71^2 + 71 + 1)) | No | |
| -357911 | 4.000000 | -0.0.0.1 | -1.0.0.0 (-(357911)) | No | |
| 3977728 | 4.000000 | 24.5.8.11 | 11.8.5.24 (11*71^3 + 8*71^2 + 5*71 + 24) | Toys & Games > Toys > Dolls, Playsets & Toy Figures > Stuffed Animals | No |
These are the training products that have the "HOODIE" tag (processing sequence 113). 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 |
|---|---|---|---|---|---|---|---|
| 418 | Plus Size - Zodiac Fashionable Hoodie | 4718448 | Apparel & Accessories > Clothing > Clothing Tops > Hoodies | none | 0 | none | |
| 3942 | Smooth Plaid Premium Sleeveless Hoodie | 4718448 | Apparel & Accessories > Clothing > Clothing Tops > Hoodies | none | 0 | SUMMER SETS, YACHT | |
| 6908 | 10" Hoodie River Otter | 3977728 | Toys & Games > Toys > Dolls, Playsets & Toy Figures > Stuffed Animals | none | -740720 | none | |
| 350 | Just Chill Hoodie | -357911 | SWEATSHIRT | -5076359 | none | ||
| 6837 | Embroidered Black Oversized Hoodie | -3286804 | BLACK, SWEATSHIRT | -8005252 | none |