Fold 0 - Understanding why coefficient 105577 was selected
Tag: OPTICAL
Selected Coefficient: 105577
Taxonomy Path: 0.67.20
Taxonomy Name:
Products with this tag: 14
Unique residual values tried: 12
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? |
|---|---|---|---|---|---|
| 105577 | 10.042254 | 0.67.20 | 20.67.0 (20*71^2 + 67*71) | Yes | |
| 4304659 | 10.042254 | 0.66.1.12 | 12.1.66.0 (12*71^3 + 5041 + 66*71) | No | |
| 9995522 | 10.042254 | 0.60.65.27 | 27.65.60.0 (27*71^3 + 65*71^2 + 60*71) | No | |
| 5690863 | 10.042254 | 0.65.63.15 | 15.63.65.0 (15*71^3 + 63*71^2 + 65*71) | No | |
| 78387694 | 11.000000 | 2.2.1.6.3 | 3.6.1.2.2 (3*71^4 + 6*71^3 + 5041 + 2*71 + 2) | Animals & Pet Supplies > Pet Supplies > Bird Supplies > Bird Toys > Chew Toys | No |
| 2761970 | 12.000198 | 70.63.50.7 | 7.50.63.70 (7*71^3 + 50*71^2 + 63*71 + 70) | No | |
| -69767938 | 12.000198 | -1.7.66.52.2 | -2.52.66.7.1 (-(2*71^4 + 52*71^3 + 66*71^2 + 7*71 + 1)) | No | |
| -77011928 | 12.014085 | -3.8.12.2.3 | -3.2.12.8.3 (-(3*71^4 + 2*71^3 + 12*71^2 + 8*71 + 3)) | No | |
| -71184815 | 12.014085 | -2.12.63.56.2 | -2.56.63.12.2 (-(2*71^4 + 56*71^3 + 63*71^2 + 12*71 + 2)) | No | |
| -74113708 | 12.014085 | -3.13.5.65.2 | -2.65.5.13.3 (-(2*71^4 + 65*71^3 + 5*71^2 + 13*71 + 3)) | No | |
| -75489474 | 12.014085 | -2.7.65.68.2 | -2.68.65.7.2 (-(2*71^4 + 68*71^3 + 65*71^2 + 7*71 + 2)) | No | |
| 78251444 | 13.000000 | 1.0.45.5.3 | 3.5.45.0.1 (3*71^4 + 5*71^3 + 45*71^2 + 1) | No |
These are the training products that have the "OPTICAL" tag (processing sequence 1802). 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 |
|---|---|---|---|---|---|---|---|
| 9207 | Jaurès | 78387694 | Animals & Pet Supplies > Pet Supplies > Bird Supplies > Bird Toys > Chew Toys | BLACK, OVERSIZED, DARK TURTLE, NEW STYLES | 78282117 | ROUND FACE, SQUARE | |
| 9193 | Rue Amélie | 78387694 | Animals & Pet Supplies > Pet Supplies > Bird Supplies > Bird Toys > Chew Toys | GOLD, 8MM, NEW STYLES | 78282117 | ROUND FACE | |
| 9192 | Rue Fabert | 78387694 | Animals & Pet Supplies > Pet Supplies > Bird Supplies > Bird Toys > Chew Toys | GOLD, 8MM, NEW STYLES | 78282117 | ROUND FACE | |
| 9190 | Cométe | 78251444 | CAT-EYE, CHAMPAGNE, NEW STYLES | 78145867 | PEONY GOLD, ROUND FACE | ||
| 9189 | Theatre | 9995522 | BLACK, GOLD, ROUND, 8MM, DARK TURTLE, DIAMOND FACE, MEDIUM, NEW STYLES | 9889945 | none | ||
| 9167 | Rue de Turenne | 5690863 | BLACK, GOLD, 8MM, DARK TURTLE, DIAMOND FACE, MEDIUM, NEW STYLES | 5585286 | none | ||
| 9187 | Place Coluche | 4304659 | ROUND, CHAMPAGNE, MEDIUM, NEW STYLES | 4199082 | none | ||
| 9191 | Rue Berthe | 2761970 | GOLD, 8MM, CAT-EYE, DIAMOND FACE, MEDIUM, NEW STYLES | 2656393 | none | ||
| 9188 | Place de la Concorde | 105577 | OVERSIZED, DIAMOND FACE | 0 | none | ||
| 9208 | Rue de Charonne | -69767938 | GOLD, 8MM, DARK TURTLE, DIAMOND FACE, MEDIUM | -69873515 | none | ||
| 9210 | Place Dauphine | -71184815 | ROUND, CHAMPAGNE, DIAMOND FACE, MEDIUM | -71290392 | PEONY GOLD | ||
| 9185 | Place de l'Opéra | -74113708 | BLACK, ROUND, CHAMPAGNE, DIAMOND FACE, MEDIUM | -74219285 | none | ||
| 9168 | Place Blanche | -75489474 | CHAMPAGNE, DIAMOND FACE, MEDIUM | -75595051 | ROUND FACE, SQUARE | ||
| 9211 | Léna | -77011928 | ROUND, WOMEN, CHAMPAGNE, MEDIUM | -77117505 | PEONY GOLD |