Fold 3 - Understanding why coefficient 20236 was selected
Tag: FRAILS
Selected Coefficient: 20236
Taxonomy Path: 1.1.4
Taxonomy Name: Apparel & Accessories > Clothing > Dresses
Products with this tag: 6
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? |
|---|---|---|---|---|---|
| 20236 | 3.014283 | 1.1.4 | 4.1.1 (4*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Dresses | Yes |
| 4360537 | 3.014283 | 1.1.13.12 | 12.13.1.1 (12*71^3 + 13*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | No |
| 5706413 | 3.028169 | 1.0.67.15 | 15.67.0.1 (15*71^3 + 67*71^2 + 1) | No | |
| -1073733 | 4.000003 | -0.0.0.3 | -3.0.0.0 (-(3*71^3)) | No | |
| 0 | 4.000003 | 0 | 0 (0) | No | |
| 4360522 | 5.000000 | 57.0.13.12 | 12.13.0.57 (12*71^3 + 13*71^2 + 57) | No |
These are the training products that have the "FRAILS" tag (processing sequence 771). 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 |
|---|---|---|---|---|---|---|---|
| 1068 | Syd | 5706413 | BROWN, EASY, ELEGANT DRESSES | 5686177 | none | ||
| 1039 | Perci | 4360537 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | none | 4340301 | SOFT SWEATERS | |
| 1089 | Zoey | 4360522 | GOLD | 4340286 | none | ||
| 1049 | Roma | 20236 | Apparel & Accessories > Clothing > Dresses | none | 0 | none | |
| 835 | Blakely | 0 | BEST DRESS | -20236 | none | ||
| 839 | Boxer | -1073733 | SHORTS | -1093969 | none |