Fold 0 - Understanding why coefficient 45796 was selected
Tag: BRIGHT
Selected Coefficient: 45796
Taxonomy Path: 1.6.9
Taxonomy Name: Apparel & Accessories > Jewelry > Rings
Products with this tag: 5
Unique residual values tried: 3
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? |
|---|---|---|---|---|---|
| 45796 | 1.014085 | 1.6.9 | 9.6.1 (9*71^2 + 6*71 + 1) | Apparel & Accessories > Jewelry > Rings | Yes |
| 4360537 | 1.042254 | 1.1.13.12 | 12.13.1.1 (12*71^3 + 13*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | No |
| 131293 | 4.000000 | 14.3.26 | 26.3.14 (26*71^2 + 3*71 + 14) | Home & Garden > Decor > Door Mats | No |
These are the training products that have the "BRIGHT" tag (processing sequence 787). 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 |
|---|---|---|---|---|---|---|---|
| 10305 | Basic V Neck Sweater - Coral | 4360537 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | none | 4314741 | none | |
| 8929 | Hello Arch Doormat | 131293 | Home & Garden > Decor > Door Mats | none | 85497 | none | |
| 236 | Stack Ring ~ Combo 7 | 45796 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 255 | Stack Ring ~ Combo 2 | 45796 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 285 | Stack Ring ~ Combo 3 | 45796 | Apparel & Accessories > Jewelry > Rings | none | 0 | none |