Fold 0 - Understanding why coefficient 78282117 was selected
Tag: ROUND FACE
Selected Coefficient: 78282117
Taxonomy Path: 2.6.51.5.3
Taxonomy Name:
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? |
|---|---|---|---|---|---|
| 78282117 | 2.000000 | 2.6.51.5.3 | 3.5.51.6.2 (3*71^4 + 5*71^3 + 51*71^2 + 6*71 + 2) | Yes | |
| -75595051 | 4.000000 | -2.3.15.69.2 | -2.69.15.3.2 (-(2*71^4 + 69*71^3 + 15*71^2 + 3*71 + 2)) | No | |
| 155263372 | 4.000000 | 4.8.57.7.6 | 6.7.57.8.4 (6*71^4 + 7*71^3 + 57*71^2 + 8*71 + 4) | No |
These are the training products that have the "ROUND FACE" tag (processing sequence 1992). 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 |
|---|---|---|---|---|---|---|---|
| 9190 | Cométe | 155263372 | CAT-EYE, CHAMPAGNE, NEW STYLES, OPTICAL, PEONY GOLD | 76981255 | none | ||
| 9192 | Rue Fabert | 78282117 | GOLD, 8MM, NEW STYLES, OPTICAL | 0 | none | ||
| 9193 | Rue Amélie | 78282117 | GOLD, 8MM, NEW STYLES, OPTICAL | 0 | none | ||
| 9207 | Jaurès | 78282117 | BLACK, OVERSIZED, DARK TURTLE, NEW STYLES, OPTICAL | 0 | SQUARE | ||
| 9168 | Place Blanche | -75595051 | CHAMPAGNE, DIAMOND FACE, MEDIUM, OPTICAL | -153877168 | SQUARE |