Fold 1 - Understanding why coefficient 137461 was selected
Tag: HEADBAND
Selected Coefficient: 137461
Taxonomy Path: 1.2.22
Taxonomy Name: Apparel & Accessories > Clothing Accessories > Neck Gaiters
Products with this tag: 2
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? |
|---|---|---|---|---|---|
| 137461 | 0.000160 | 1.2.22 | 22.2.1 (22*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Neck Gaiters | Yes |
| 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 | No |
These are the training products that have the "HEADBAND" tag (processing sequence 147). 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 |
|---|---|---|---|---|---|---|---|
| 12927 | Modern Birthday Crown Headband | 1ct | 4031845 | Apparel & Accessories > Clothing Accessories > Hair Accessories > Headbands | none | 3894384 | MODERN PARTY, WEARABLES, MODERN BIRTHDAY | |
| 154 | Organic Cotton snood | Headband - Jade | 137461 | Apparel & Accessories > Clothing Accessories > Neck Gaiters | none | 0 | none |