Fold 3 - Understanding why coefficient -78387694 was selected
Tag: NEW HINGE
Selected Coefficient: -78387694
Taxonomy Path: -2.2.1.6.3
Taxonomy Name:
Products with this tag: 9
Unique residual values tried: 7
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? |
|---|---|---|---|---|---|
| -78387694 | 5.014085 | -2.2.1.6.3 | -3.6.1.2.2 (-(3*71^4 + 6*71^3 + 5041 + 2*71 + 2)) | Yes | |
| -52976013 | 5.014085 | -2.2.1.6.2 | -2.6.1.2.2 (-(2*71^4 + 6*71^3 + 5041 + 2*71 + 2)) | No | |
| -75595051 | 5.042254 | -2.3.15.69.2 | -2.69.15.3.2 (-(2*71^4 + 69*71^3 + 15*71^2 + 3*71 + 2)) | No | |
| 0 | 6.014085 | 0 | 0 (0) | No | |
| -2792643 | 6.028169 | -0.70.56.7 | -7.56.70.0 (-(7*71^3 + 56*71^2 + 70*71)) | No | |
| -75458801 | 8.000000 | -1.1.59.68.2 | -2.68.59.1.1 (-(2*71^4 + 68*71^3 + 59*71^2 + 71 + 1)) | No | |
| -78523944 | 8.000000 | -3.4.28.6.3 | -3.6.28.4.3 (-(3*71^4 + 6*71^3 + 28*71^2 + 4*71 + 3)) | No |
These are the training products that have the "NEW HINGE" tag (processing sequence 1749). 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 |
|---|---|---|---|---|---|---|---|
| 9212 | Saint Germain | 0 | BLACK, ROUND, DOWN TRIANGLE FACE | 78387694 | Animals & Pet Supplies > Pet Supplies > Bird Supplies > Bird Toys > Chew Toys | none | |
| 9192 | Rue Fabert | 0 | GOLD, 22K | 78387694 | Animals & Pet Supplies > Pet Supplies > Bird Supplies > Bird Toys > Chew Toys | ROUND FACE | |
| 9207 | Jaurès | -2792643 | BLACK, OVERSIZED, DOWN TRIANGLE FACE | 75595051 | ROUND FACE, SQUARE | ||
| 9206 | Ségur | -52976013 | GOLD, 22K, LARGE | 25411681 | SQUARE | ||
| 9208 | Rue de Charonne | -75458801 | GOLD, 22K, DOWN TRIANGLE FACE, MEDIUM | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | |
| 9191 | Rue Berthe | -75595051 | GOLD, 22K, CAT-EYE, DOWN TRIANGLE FACE, MEDIUM | 2792643 | none | ||
| 9214 | Gaillon Sun | -78387694 | 22K, CUSTOM LENSES, MEDIUM | 0 | SS23, SUNGLASSES | ||
| 9167 | Rue de Turenne | -78387694 | GOLD, BLACK, 22K, DOWN TRIANGLE FACE, MEDIUM | 0 | none | ||
| 9189 | Theatre | -78523944 | GOLD, BLACK, ROUND, 22K, DOWN TRIANGLE FACE, MEDIUM | -136250 | none |