Fold 3 - Understanding why coefficient 75595051 was selected
Tag: ROUND FACE
Selected Coefficient: 75595051
Taxonomy Path: 2.3.15.69.2
Taxonomy Name:
Products with this tag: 5
Unique residual values tried: 5
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? |
|---|---|---|---|---|---|
| 75595051 | 3.014085 | 2.3.15.69.2 | 2.69.15.3.2 (2*71^4 + 69*71^3 + 15*71^2 + 3*71 + 2) | Yes | |
| 78387694 | 3.014085 | 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 |
| -78387694 | 4.000000 | -2.2.1.6.3 | -3.6.1.2.2 (-(3*71^4 + 6*71^3 + 5041 + 2*71 + 2)) | No | |
| -75227056 | 4.000000 | -0.3.13.68.2 | -2.68.13.3.0 (-(2*71^4 + 68*71^3 + 13*71^2 + 3*71)) | No | |
| 78346939 | 4.000000 | 1.67.63.5.3 | 3.5.63.67.1 (3*71^4 + 5*71^3 + 63*71^2 + 67*71 + 1) | No |
These are the training products that have the "ROUND FACE" tag (processing sequence 1994). 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 |
|---|---|---|---|---|---|---|---|
| 9192 | Rue Fabert | 78387694 | Animals & Pet Supplies > Pet Supplies > Bird Supplies > Bird Toys > Chew Toys | GOLD, 22K, NEW HINGE | 2792643 | none | |
| 9190 | Cométe | 78346939 | 22K, CAT-EYE, CHAMPAGNE, PEONY GOLD | 2751888 | WOMEN'S | ||
| 9207 | Jaurès | 75595051 | BLACK, OVERSIZED, DOWN TRIANGLE FACE, NEW HINGE | 0 | SQUARE | ||
| 9168 | Place Blanche | -75227056 | CHAMPAGNE, DOWN TRIANGLE FACE, MEDIUM | -150822107 | WHITE GOLD, SQUARE | ||
| 9209 | Lille | -78387694 | GOLD, BLACK, 22K, DOWN TRIANGLE FACE, MEDIUM | -153982745 | none |