Fold 4 - Understanding why coefficient 168666 was selected
Tag: SUNGLASSES
Selected Coefficient: 168666
Taxonomy Path: 1.2.27
Taxonomy Name: Apparel & Accessories > Clothing Accessories > Sunglasses
Products with this tag: 8
Unique residual values tried: 7
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? |
|---|---|---|---|---|---|
| 168666 | 5.012658 | 1.2.27 | 27.2.1 (27*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Sunglasses | Yes |
| 1591535 | 5.025316 | 1.1.18.3 | 3.18.1.1 (3*79^3 + 18*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Socks > Crew Socks | No |
| -3039447 | 7.000000 | -1.1.13.6 | -6.13.1.1 (-(6*79^3 + 13*79^2 + 79 + 1)) | No | |
| 0 | 7.000000 | 0 | 0 (0) | No | |
| -3208113 | 7.000000 | -2.3.40.6 | -6.40.3.2 (-(6*79^3 + 40*79^2 + 3*79 + 2)) | No | |
| 1004631 | 7.000000 | 67.76.2.2 | 2.2.76.67 (2*79^3 + 2*79^2 + 76*79 + 67) | No | |
| 1760201 | 7.000000 | 2.3.45.3 | 3.45.3.2 (3*79^3 + 45*79^2 + 3*79 + 2) | No |
These are the training products that have the "SUNGLASSES" tag (processing sequence 2827). 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 |
|---|---|---|---|---|---|---|---|
| 9163 | ReFramed Montmartre | 1760201 | REFRAMED | 1591535 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | |
| 9152 | ReFramed Port Royal | 1591535 | Apparel & Accessories > Clothing > Socks > Crew Socks | CUSTOM LENSES, REFRAMED | 1422869 | none | |
| 9165 | ReFramed Place Du Brésil | 1004631 | LAVENDER, CUSTOM LENSES, REFRAMED | 835965 | none | ||
| 5072 | City Strut | 168666 | Apparel & Accessories > Clothing Accessories > Sunglasses | none | 0 | none | |
| 5086 | High Profile (3 Colors) | 168666 | Apparel & Accessories > Clothing Accessories > Sunglasses | none | 0 | none | |
| 9164 | ReFramed Léna | 0 | ORANGE, CUSTOM LENSES, REFRAMED | -168666 | none | ||
| 9137 | Place Jussieu Sun | -3039447 | CUSTOM LENSES, SS23 | -3208113 | none | ||
| 9214 | Gaillon Sun | -3208113 | CUSTOM LENSES, PETITE, SS23 | -3376779 | none |