Fold 4 - Understanding why coefficient -4025525 was selected
Tag: BONSAI
Selected Coefficient: -4025525
Taxonomy Path: -1.1.13.8
Taxonomy Name:
Products with this tag: 7
Unique residual values tried: 6
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? |
|---|---|---|---|---|---|
| -4025525 | 3.000004 | -1.1.13.8 | -8.13.1.1 (-(8*79^3 + 13*79^2 + 79 + 1)) | Yes | |
| -4518564 | 3.000006 | -1.1.13.9 | -9.13.1.1 (-(9*79^3 + 13*79^2 + 79 + 1)) | No | |
| -2053369 | 3.000006 | -1.1.13.4 | -4.13.1.1 (-(4*79^3 + 13*79^2 + 79 + 1)) | No | |
| -5423429 | 5.000002 | -0.0.0.11 | -11.0.0.0 (-(11*79^3)) | No | |
| 0 | 5.000002 | 0 | 0 (0) | No | |
| -8544089 | 6.000000 | -2.2.26.17 | -17.26.2.2 (-(17*79^3 + 26*79^2 + 2*79 + 2)) | No |
These are the training products that have the "BONSAI" tag (processing sequence 3221). 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 |
|---|---|---|---|---|---|---|---|
| 8826 | Bonsai Oversized Knit Vest - Orange/Azure | 0 | VESTS | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | |
| 8783 | Bonsai Spray Dyed Basketball Shorts - Light Green | -2053369 | GREEN, SHORTS | 1972156 | none | ||
| 8845 | Bonsai Spray Dyed Crewneck - Blue/Green | -4025525 | GREEN, SWEATSHIRTS | 0 | none | ||
| 8854 | Bonsai Spray Dyed Oversized Tee - Blue/Green | -4025525 | GREEN, CLOTHING-SIZE-L | 0 | none | ||
| 8784 | Bonsai Boomerang Bowling Shirt - Ivory | -4518564 | CLOTHING-SIZE-L, SHIRTS | -493039 | none | ||
| 8964 | Bonsai Beehive Mohair Cardigan - Hexagon | -5423429 | SWEATSHIRTS | -1397904 | none | ||
| 8797 | Bonsai Boomerang Bowling Shirt - White | -8544089 | WHITE, CLOTHING-SIZE-L, SHIRTS | -4518564 | none |