Fold 0 - Understanding why coefficient 70646 was selected
Tag: SHORTS
Selected Coefficient: 70646
Taxonomy Path: 1.1.14
Taxonomy Name: Apparel & Accessories > Clothing > Shorts
Products with this tag: 10
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? |
|---|---|---|---|---|---|
| 70646 | 0.000212 | 1.1.14 | 14.1.1 (14*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Shorts | Yes |
| 1502290 | 0.000215 | 1.1.14.4 | 4.14.1.1 (4*71^3 + 14*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Shorts > Short Trousers | No |
| 2576023 | 0.000218 | 1.1.14.7 | 7.14.1.1 (7*71^3 + 14*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Shorts > Jogger Shorts | No |
| 45441 | 0.001785 | 1.1.9 | 9.1.1 (9*71^2 + 71 + 1) | Apparel & Accessories > Clothing > One-Pieces | No |
These are the training products that have the "SHORTS" tag (processing sequence 28). 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 |
|---|---|---|---|---|---|---|---|
| 5040 | CIB 2nd Award Performance Shorts | 2576023 | Apparel & Accessories > Clothing > Shorts > Jogger Shorts | none | 2505377 | none | |
| 5045 | De Oppresso Liber Performance Shorts | 2576023 | Apparel & Accessories > Clothing > Shorts > Jogger Shorts | none | 2505377 | none | |
| 839 | Boxer | 1502290 | Apparel & Accessories > Clothing > Shorts > Short Trousers | none | 1431644 | FRAILS | |
| 5037 | 42nd Infantry Performance Shorts | 1502290 | Apparel & Accessories > Clothing > Shorts > Short Trousers | none | 1431644 | none | |
| 5047 | JROTC Performance Shorts | 1502290 | Apparel & Accessories > Clothing > Shorts > Short Trousers | none | 1431644 | none | |
| 5038 | 509th Infantry Performance Shorts | 70646 | Apparel & Accessories > Clothing > Shorts | none | 0 | none | |
| 936 | Get Your Flirt On Short | 70646 | Apparel & Accessories > Clothing > Shorts | none | 0 | ACTIVEWEAR | |
| 5036 | 35th Infantry Performance Shorts | 70646 | Apparel & Accessories > Clothing > Shorts | none | 0 | none | |
| 5046 | EFMB Performance Shorts | 70646 | Apparel & Accessories > Clothing > Shorts | none | 0 | none | |
| 965 | Hot Shot Onesie Printed | 45441 | Apparel & Accessories > Clothing > One-Pieces | none | -25205 | ACTIVEWEAR, FREE PEOPLEWE THE FREE |