Fold 1 - Understanding why coefficient 2570982 was selected
Tag: BUTTON DOWN SHIRT
Selected Coefficient: 2570982
Taxonomy Path: 1.1.13.7
Taxonomy Name: Apparel & Accessories > Clothing > Clothing Tops > Shirts
Products with this tag: 8
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? |
|---|---|---|---|---|---|
| 2570982 | 2.000198 | 1.1.13.7 | 7.13.1.1 (7*71^3 + 13*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Shirts | Yes |
| 20236 | 2.000992 | 1.1.4 | 4.1.1 (4*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Dresses | No |
| -1789555 | 6.000003 | -0.0.0.5 | -5.0.0.0 (-(5*71^3)) | No | |
| -357911 | 6.000003 | -0.0.0.1 | -1.0.0.0 (-(357911)) | No |
These are the training products that have the "BUTTON DOWN SHIRT" tag (processing sequence 810). 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 |
|---|---|---|---|---|---|---|---|
| 870 | Daron Oversized Shirt | 2570982 | Apparel & Accessories > Clothing > Clothing Tops > Shirts | none | 0 | ESSENTIEL ANTWERP | |
| 877 | Desdemona | 2570982 | Apparel & Accessories > Clothing > Clothing Tops > Shirts | none | 0 | none | |
| 993 | Kris Shirt | 2570982 | Apparel & Accessories > Clothing > Clothing Tops > Shirts | none | 0 | none | |
| 1084 | Wylan | 2570982 | Apparel & Accessories > Clothing > Clothing Tops > Shirts | none | 0 | none | |
| 6107 | Riley Frayed Hem Shirt- Optic White | 2570982 | Apparel & Accessories > Clothing > Clothing Tops > Shirts | none | 0 | none | |
| 6231 | Monita Shirt Dress - Violet | 20236 | Apparel & Accessories > Clothing > Dresses | none | -2550746 | none | |
| 894 | Dolivia | -357911 | WHITE | -2928893 | ESSENTIEL ANTWERP | ||
| 900 | Dorothy | -1789555 | BLUE | -4360537 | ESSENTIEL ANTWERP |