Fold 2 - Understanding why coefficient -20236 was selected
Tag: EXPENSIVE DRESSES
Selected Coefficient: -20236
Taxonomy Path: -1.1.4
Taxonomy Name:
Products with this tag: 11
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? |
|---|---|---|---|---|---|
| -20236 | 6.000198 | -1.1.4 | -4.1.1 (-(4*71^2 + 71 + 1)) | Yes | |
| 0 | 6.000397 | 0 | 0 (0) | No | |
| -2908657 | 6.000595 | -0.0.9.8 | -8.9.0.0 (-(8*71^3 + 9*71^2)) | No | |
| -2928893 | 6.000793 | -1.1.13.8 | -8.13.1.1 (-(8*71^3 + 13*71^2 + 71 + 1)) | No | |
| 20236 | 10.000000 | 1.1.4 | 4.1.1 (4*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Dresses | No |
These are the training products that have the "EXPENSIVE DRESSES" tag (processing sequence 1131). 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 |
|---|---|---|---|---|---|---|---|
| 1044 | Porter | 20236 | Apparel & Accessories > Clothing > Dresses | none | 40472 | none | |
| 932 | Gem -Pink Check | 0 | COLORFUL DRESSES | 20236 | Apparel & Accessories > Clothing > Dresses | FLOWY DRESSES | |
| 937 | Giuliana -Navy | 0 | BEST DRESS | 20236 | Apparel & Accessories > Clothing > Dresses | none | |
| 881 | Devi- Pink | 0 | COLORFUL DRESSES | 20236 | Apparel & Accessories > Clothing > Dresses | FLOWY DRESSES | |
| 1085 | Zadie -Spring Ink | -20236 | BEST DRESS, COLORFUL DRESSES | 0 | FLORAL PATTERNS, FLOWY DRESSES | ||
| 875 | Delfina | -20236 | BEST DRESS, COLORFUL DRESSES | 0 | none | ||
| 924 | Fleur | -20236 | BEST DRESS, COLORFUL DRESSES | 0 | FLOWY DRESSES, MAXI DRESSES | ||
| 1051 | Rosheen -Red | -20236 | BEST DRESS, COLORFUL DRESSES | 0 | none | ||
| 1046 | Rania | -2908657 | GREEN | -2888421 | FLORAL PATTERNS | ||
| 855 | Cinnamon | -2908657 | WHITE | -2888421 | FLOWY DRESSES | ||
| 871 | Daskur Pleated Slip Dress | -2928893 | COLORFUL DRESSES, ESSENTIEL ANTWERP | -2908657 | FLOWY DRESSES |