Fold 2 - Understanding why coefficient -5997681 was selected
Tag: COOL
Selected Coefficient: -5997681
Taxonomy Path: -1.1.13.12
Taxonomy Name:
Products with this tag: 4
Unique residual values tried: 4
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? |
|---|---|---|---|---|---|
| -5997681 | 2.000160 | -1.1.13.12 | -12.13.1.1 (-(12*79^3 + 13*79^2 + 79 + 1)) | Yes | |
| -25044 | 2.000160 | -1.1.4 | -4.1.1 (-(4*79^2 + 79 + 1)) | No | |
| 0 | 2.012658 | 0 | 0 (0) | No | |
| 12639210 | 2.012658 | 0.15.50.25 | 25.50.15.0 (25*79^3 + 50*79^2 + 15*79) | No |
These are the training products that have the "COOL" tag (processing sequence 1096). 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 |
|---|---|---|---|---|---|---|---|
| 5382 | Airbrush Born in the 80s Shirt Design | 12639210 | DESIGN, PINK, RED, 90S, BABY, BRICKS | 18636891 | SOCIAL MEDIA, T-SHIRT, TEENS | ||
| 5501 | Airbrush Est. 1998 Shirt Design | 0 | DESIGN, BLUE, SPLATTER | 5997681 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | SOCIAL MEDIA, T-SHIRT, TEENS | |
| 984 | Kamika 2 | -25044 | SANDAL, FASHION | 5972637 | none | ||
| 5342 | Airbrush ZOA Shirt Design | -5997681 | DESIGN, BLUE | 0 | SOCIAL MEDIA, T-SHIRT, TEENS |