Fold 0 - Understanding why coefficient 27820 was selected
Tag: COSMETIC BAG
Selected Coefficient: 27820
Taxonomy Path: 15.3.4
Taxonomy Name:
Products with this tag: 6
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? |
|---|---|---|---|---|---|
| 27820 | 3.000145 | 15.3.4 | 4.3.15 (4*83^2 + 3*83 + 15) | Yes | |
| 20931 | 3.000290 | 15.3.3 | 3.3.15 (3*83^2 + 3*83 + 15) | No | |
| -8094659 | 4.000000 | -1.1.13.14 | -14.13.1.1 (-(14*83^3 + 13*83^2 + 83 + 1)) | No | |
| -27820 | 5.000000 | -15.3.4 | -4.3.15 (-(4*83^2 + 3*83 + 15)) | No |
These are the training products that have the "COSMETIC BAG" tag (processing sequence 6061). 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 |
|---|---|---|---|---|---|---|---|
| 31856 | Monogrammed Purple Gingham Roadie Pouch | 27820 | none | 0 | none | ||
| 31857 | Monogrammed Black Gingham Roadie Pouch | 27820 | none | 0 | none | ||
| 24688 | The Flake Chunky Zipper Bag | 20931 | none | -6889 | none | ||
| 278 | Alycia Mikay Makeup Bag | -27820 | MAKEUP BAG, POUCHES | -55640 | BAGS | ||
| 31782 | Dog Mom Coffee Lovers Comfort Colors T-Shirt | -8094659 | 17176014, CREWNECK, GRAPHIC SHIRT, SWEATSHIRT | -8122479 | none | ||
| 31783 | Pink Christmas Coffee Lovers Comfort Colors T-Shirt | -8094659 | 17176014, CREWNECK, GRAPHIC SHIRT, SWEATSHIRT | -8122479 | none |