Fold 4 - Understanding why coefficient -52976013 was selected
Tag: OPTICAL
Selected Coefficient: -52976013
Taxonomy Path: -2.2.1.6.2
Taxonomy Name:
Products with this tag: 16
Unique residual values tried: 11
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? |
|---|---|---|---|---|---|
| -52976013 | 11.014085 | -2.2.1.6.2 | -2.6.1.2.2 (-(2*71^4 + 6*71^3 + 5041 + 2*71 + 2)) | Yes | |
| -50183370 | 11.056338 | -2.3.15.69.1 | -1.69.15.3.2 (-(25411681 + 69*71^3 + 15*71^2 + 3*71 + 2)) | No | |
| -50047120 | 12.028169 | -1.1.59.68.1 | -1.68.59.1.1 (-(25411681 + 68*71^3 + 59*71^2 + 71 + 1)) | No | |
| 0 | 12.042254 | 0 | 0 (0) | No | |
| -49910870 | 12.042254 | -0.70.31.68.1 | -1.68.31.70.0 (-(25411681 + 68*71^3 + 31*71^2 + 70*71)) | No | |
| 50122024 | 12.042254 | 0.62.2.69.1 | 1.69.2.62.0 (25411681 + 69*71^3 + 2*71^2 + 62*71) | No | |
| 50016447 | 12.042254 | 0.66.52.68.1 | 1.68.52.66.0 (25411681 + 68*71^3 + 52*71^2 + 66*71) | No | |
| 46981977 | 12.042254 | 70.68.18.60.1 | 1.60.18.68.70 (25411681 + 60*71^3 + 18*71^2 + 68*71 + 70) | No | |
| 49880197 | 12.042254 | 70.63.25.68.1 | 1.68.25.63.70 (25411681 + 68*71^3 + 25*71^2 + 63*71 + 70) | No | |
| 100094240 | 14.000000 | 2.2.47.66.3 | 3.66.47.2.2 (3*71^4 + 66*71^3 + 47*71^2 + 2*71 + 2) | No | |
| 55904906 | 15.000000 | 3.3.14.14.2 | 2.14.14.3.3 (2*71^4 + 14*71^3 + 14*71^2 + 3*71 + 3) | No |
These are the training products that have the "OPTICAL" tag (processing sequence 1790). 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 |
|---|---|---|---|---|---|---|---|
| 9193 | Rue Amélie | 100094240 | GOLD, 8MM, 22K, ACETATE, NEW HINGE, NEW STYLES | 153070253 | ROUND FACE | ||
| 9192 | Rue Fabert | 100094240 | GOLD, 8MM, 22K, ACETATE, NEW HINGE, NEW STYLES | 153070253 | ROUND FACE | ||
| 9212 | Saint Germain | 55904906 | BLACK, ROUND, 8MM, ACETATE, DARK TURTLE, DIAMOND FACE, NEW HINGE | 108880919 | none | ||
| 9206 | Ségur | 50122024 | GOLD, 22K, ACETATE, DARK TURTLE, LARGE, NEW HINGE, NEW STYLES | 103098037 | none | ||
| 9167 | Rue de Turenne | 50016447 | GOLD, BLACK, 8MM, 22K, ACETATE, DARK TURTLE, DIAMOND FACE, MEDIUM, NEW HINGE, NEW STYLES | 102992460 | none | ||
| 9189 | Theatre | 49880197 | GOLD, BLACK, ROUND, 8MM, 22K, ACETATE, DARK TURTLE, DIAMOND FACE, MEDIUM, NEW HINGE, NEW STYLES | 102856210 | none | ||
| 9190 | Cométe | 46981977 | 22K, CAT-EYE, NEW STYLES | 99957990 | ROUND FACE | ||
| 9166 | Rue Duroc | 0 | ROUND, 8MM, ACETATE, DARK TURTLE, DIAMOND FACE, MEDIUM, NEW STYLES | 52976013 | Animals & Pet Supplies > Pet Supplies > Bird Supplies > Bird Toys > Bells & Beads | none | |
| 9168 | Place Blanche | -49910870 | DIAMOND FACE, MEDIUM | 3065143 | ROUND FACE | ||
| 9210 | Place Dauphine | -50047120 | ROUND, DIAMOND FACE, MEDIUM | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | |
| 9184 | Place de la Madeleine | -50047120 | ROUND, DIAMOND FACE, MEDIUM | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | |
| 9186 | Auber | -50183370 | ROUND, 22K, DIAMOND FACE, MEDIUM | 2792643 | none | ||
| 9209 | Lille | -52976013 | GOLD, BLACK, 8MM, 22K, ACETATE, DIAMOND FACE, MEDIUM | 0 | ROUND FACE | ||
| 9211 | Léna | -52976013 | ROUND, MEDIUM | 0 | none | ||
| 9185 | Place de l'Opéra | -52976013 | BLACK, ROUND, DIAMOND FACE, MEDIUM | 0 | none | ||
| 9213 | Gaillon | -52976013 | 22K, MEDIUM | 0 | none |