Fold 4 - Understanding why coefficient 4031845 was selected
Tag: HEADBAND
Selected Coefficient: 4031845
Taxonomy Path: 1.2.14.8
Taxonomy Name: Apparel & Accessories > Clothing Accessories > Hair Accessories > Headbands
Products with this tag: 3
Unique residual values tried: 2
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? |
|---|---|---|---|---|---|
| 4031845 | 0.000160 | 1.2.14.8 | 8.14.2.1 (8*79^3 + 14*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hair Accessories > Headbands | Yes |
| 25123 | 0.000320 | 1.2.4 | 4.2.1 (4*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Bandanas & Headties | No |
These are the training products that have the "HEADBAND" tag (processing sequence 168). 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 |
|---|---|---|---|---|---|---|---|
| 7827 | Glitter Star | 4031845 | Apparel & Accessories > Clothing Accessories > Hair Accessories > Headbands | none | 0 | none | |
| 13118 | Spa Party Head Bands | 6pcs | 4031845 | Apparel & Accessories > Clothing Accessories > Hair Accessories > Headbands | none | 0 | none | |
| 13056 | Naruto Wearable Headband | 1ct | 25123 | Apparel & Accessories > Clothing Accessories > Bandanas & Headties | none | -4006722 | NARUTO |