Fold 4 - Understanding why coefficient 25044 was selected
Tag: COTTON CITIZEN
Selected Coefficient: 25044
Taxonomy Path: 1.1.4
Taxonomy Name: Apparel & Accessories > Clothing > Dresses
Products with this tag: 5
Unique residual values tried: 3
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 | 1.000160 | 1.1.4 | 4.1.1 (4*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Dresses | Yes |
| 3039447 | 1.000481 | 1.1.13.6 | 6.13.1.1 (6*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Polos | No |
| -4000481 | 4.000000 | -0.0.9.8 | -8.9.0.0 (-(8*79^3 + 9*79^2)) | No |
These are the training products that have the "COTTON CITIZEN" tag (processing sequence 1118). 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 |
|---|---|---|---|---|---|---|---|
| 967 | Ibiza SS Polo | 3039447 | Apparel & Accessories > Clothing > Clothing Tops > Polos | none | 3014403 | none | |
| 844 | Capri CutOut Tank | 25044 | Apparel & Accessories > Clothing > Dresses | none | 0 | none | |
| 845 | Capri L/S Mini | 25044 | Apparel & Accessories > Clothing > Dresses | none | 0 | none | |
| 846 | Capri Slit Midi Dress | 25044 | Apparel & Accessories > Clothing > Dresses | none | 0 | LONG SLEEVES, MIDI DRESS | |
| 968 | Ibiza SS Polo Dress | -4000481 | WHITE | -4025525 | none |