Fold 0 - Understanding why coefficient 143794 was selected
Tag: STEEL
Selected Coefficient: 143794
Taxonomy Path: 14.3.23
Taxonomy Name: Home & Garden > Decor > Decorative Plaques
Products with this tag: 4
Unique residual values tried: 3
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? |
|---|---|---|---|---|---|
| 143794 | 2.000000 | 14.3.23 | 23.3.14 (23*79^2 + 3*79 + 14) | Home & Garden > Decor > Decorative Plaques | Yes |
| 69126 | 3.000000 | 1.6.11 | 11.6.1 (11*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Watches | No |
| 986078 | 3.000000 | 0.0.0.2 | 2.0.0.0 (2*79^3) | No |
These are the training products that have the "STEEL" tag (processing sequence 3245). 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 |
|---|---|---|---|---|---|---|---|
| 19378 | Le Tableau Console | 986078 | COFFEE TABLE | 842284 | none | ||
| 5351 | Anchor Family Name - Steel Sign | 143794 | Home & Garden > Decor > Decorative Plaques | none | 0 | none | |
| 5377 | Vine Family Monogram - Steel Sign | 143794 | Home & Garden > Decor > Decorative Plaques | none | 0 | none | |
| 11252 | Nomination Composable Watch Glitter Cz Dial | 69126 | Apparel & Accessories > Jewelry > Watches | none | -74668 | none |