Fold 0 - Understanding why coefficient 159 was selected
Tag: UNDER $15
Selected Coefficient: 159
Taxonomy Path: 1.2
Taxonomy Name: Apparel & Accessories > Clothing Accessories
Products with this tag: 3
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? |
|---|---|---|---|---|---|
| 159 | 1.000160 | 1.2 | 2.1 (2*79 + 1) | Apparel & Accessories > Clothing Accessories | Yes |
| 199871 | 1.000160 | 1.2.32 | 32.2.1 (32*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Fashion Face Masks | No |
| 197278893 | 2.000000 | 14.11.10.5.5 | 5.5.10.11.14 (5*79^4 + 5*79^3 + 10*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Tableware > Drinkware > Mugs | No |
These are the training products that have the "UNDER $15" tag (processing sequence 4114). 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 |
|---|---|---|---|---|---|---|---|
| 18249 | Trekkie Sketch Mug with Colored Interior | 197278893 | Home & Garden > Kitchen & Dining > Tableware > Drinkware > Mugs | none | 197278734 | GIFT IDEAS | |
| 18271 | LLAP Face Masks | 199871 | Apparel & Accessories > Clothing Accessories > Fashion Face Masks | none | 199712 | none | |
| 18277 | Live Long and Prosper Metal Keychain | 159 | Apparel & Accessories > Clothing Accessories | none | 0 | none |