Fold 1 - Understanding why coefficient 574252 was selected
Tag: FREE PEOPLEWE THE FREE
Selected Coefficient: 574252
Taxonomy Path: 1.1.13.1
Taxonomy Name: Apparel & Accessories > Clothing > Clothing Tops > Blouses
Products with this tag: 10
Unique residual values tried: 7
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? |
|---|---|---|---|---|---|
| 574252 | 4.000641 | 1.1.13.1 | 1.13.1.1 (493039 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Blouses | Yes |
| 93695 | 4.000801 | 1.1.15 | 15.1.1 (15*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Skirts | No |
| 4031766 | 4.000801 | 1.1.14.8 | 8.14.1.1 (8*79^3 + 14*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Shorts > Legging Shorts | No |
| 56249 | 4.000801 | 1.1.9 | 9.1.1 (9*79^2 + 79 + 1) | Apparel & Accessories > Clothing > One-Pieces | No |
| 25044 | 4.000801 | 1.1.4 | 4.1.1 (4*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Dresses | No |
| -25044 | 8.000000 | -1.1.4 | -4.1.1 (-(4*79^2 + 79 + 1)) | No | |
| 0 | 8.000000 | 0 | 0 (0) | No |
These are the training products that have the "FREE PEOPLEWE THE FREE" tag (processing sequence 2940). 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 |
|---|---|---|---|---|---|---|---|
| 1061 | SMLS Bike Shorts | 4031766 | Apparel & Accessories > Clothing > Shorts > Legging Shorts | none | 3457514 | none | |
| 931 | Gardenia | 574252 | Apparel & Accessories > Clothing > Clothing Tops > Blouses | none | 0 | none | |
| 926 | Flower Field | 574252 | Apparel & Accessories > Clothing > Clothing Tops > Blouses | none | 0 | none | |
| 1058 | Sawyer Maxi | 93695 | Apparel & Accessories > Clothing > Skirts | none | -480557 | none | |
| 1012 | Mikayla Jumpsuit | 56249 | Apparel & Accessories > Clothing > One-Pieces | none | -518003 | none | |
| 970 | Magda Dress | 25044 | Apparel & Accessories > Clothing > Dresses | none | -549208 | none | |
| 996 | Lakeside Midi | 0 | CUTE DRESSES | -574252 | none | ||
| 1053 | Rosie Posie Midi | 0 | CUTE DRESSES | -574252 | none | ||
| 1034 | One I Love Dress | -25044 | CUTE DRESSES, MAXI DRESSES | -599296 | none | ||
| 1002 | Lysette Maxi | -25044 | CUTE DRESSES, MAXI DRESSES | -599296 | CHOCOLATE |