Fold 0 - Understanding why coefficient -4405978 was selected
Tag: GOOD AMERICAN
Selected Coefficient: -4405978
Taxonomy Path: -2.2.22.12
Taxonomy Name:
Products with this tag: 4
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? |
|---|---|---|---|---|---|
| -4405978 | 3.000000 | -2.2.22.12 | -12.22.2.2 (-(12*71^3 + 22*71^2 + 2*71 + 2)) | Yes | |
| 0 | 3.000000 | 0 | 0 (0) | No | |
| 2576023 | 3.000000 | 1.1.14.7 | 7.14.1.1 (7*71^3 + 14*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Shorts > Jogger Shorts | No |
| 7975080 | 3.000000 | 5.3.20.22 | 22.20.3.5 (22*71^3 + 20*71^2 + 3*71 + 5) | No |
These are the training products that have the "GOOD AMERICAN" tag (processing sequence 1321). 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 |
|---|---|---|---|---|---|---|---|
| 810 | Always Fits Sunny One-piece | 7975080 | BRIGHT COLORS | 12381058 | none | ||
| 833 | Better Than Leather Short | 2576023 | Apparel & Accessories > Clothing > Shorts > Jogger Shorts | none | 6982001 | none | |
| 888 | Distressed Cropped Oxford | 0 | ROSE, BUTTON DOWN | 4405978 | RETRO | ||
| 957 | Good Legs Crop Mini Boot | -4405978 | JEANS, CASUAL, DENIM | 0 | none |