Fold 3 - Understanding why coefficient 443751 was selected
Tag: HAT
Selected Coefficient: 443751
Taxonomy Path: 1.2.17.1
Taxonomy Name: Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps
Products with this tag: 6
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? |
|---|---|---|---|---|---|
| 443751 | 0.000008 | 1.2.17.1 | 1.17.2.1 (357911 + 17*71^2 + 2*71 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | Yes |
| 801662 | 0.000011 | 1.2.17.2 | 2.17.2.1 (2*71^3 + 17*71^2 + 2*71 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Beanies | No |
| 1875395 | 0.000014 | 1.2.17.5 | 5.17.2.1 (5*71^3 + 17*71^2 + 2*71 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Bucket Hats | No |
These are the training products that have the "HAT" tag (processing sequence 1388). 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 |
|---|---|---|---|---|---|---|---|
| 4604 | Orange Fishermen Hat by CHINESE BABY COMPANY | 1875395 | Apparel & Accessories > Clothing Accessories > Hats > Bucket Hats | none | 1431644 | none | |
| 1408 | IAM Worthy Scully | 801662 | Apparel & Accessories > Clothing Accessories > Hats > Beanies | none | 357911 | none | |
| 10234 | Cable knit beanie with faux fur pom - Dark Grey | 801662 | Apparel & Accessories > Clothing Accessories > Hats > Beanies | none | 357911 | none | |
| 4587 | Basquiat Baby Dad Hat Black | 443751 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | 0 | none | |
| 4591 | CHINESE BABY COMPANY Dad Hat | 443751 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | 0 | none | |
| 4603 | Memphis Blue God Knows Iām Trying! Dad Hat | 443751 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | 0 | none |