Fold 3 - Understanding why coefficient 25044 was selected
Tag: COLOUR-BLACK
Selected Coefficient: 25044
Taxonomy Path: 1.1.4
Taxonomy Name: Apparel & Accessories > Clothing > Dresses
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| 25044 | 2.000320 | 1.1.4 | 4.1.1 (4*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Dresses | Yes |
| 5997681 | 2.000320 | 1.1.13.12 | 12.13.1.1 (12*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | No |
| 117842642 | 2.000320 | 1.1.1.2.3 | 3.2.1.1.1 (3*79^4 + 2*79^3 + 6241 + 79 + 1) | Apparel & Accessories > Clothing > Activewear > Activewear Tops > Tank Tops | No |
| 0 | 3.000000 | 0 | 0 (0) | No |
These are the training products that have the "COLOUR-BLACK" tag (processing sequence 4463). 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 |
|---|---|---|---|---|---|---|---|
| 7610 | Classic Tank - Black | 117842642 | Apparel & Accessories > Clothing > Activewear > Activewear Tops > Tank Tops | none | 117817598 | none | |
| 7653 | Classic Sweater - Black | 5997681 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | none | 5972637 | none | |
| 7718 | Sports Dress - Black | 25044 | Apparel & Accessories > Clothing > Dresses | PLAY, COURTSPORTS | 0 | none | |
| 7644 | Classic T-Shirt - Black | 0 | LENGTH-SHORT SLEEVE | -25044 | none | ||
| 7695 | Core Pocket 5 inch Bike Short - Black | 0 | LENGTH-BIKE SHORTS, PLAY, COURTSPORTS | -25044 | none |