Fold 3 - Understanding why coefficient 2954098 was selected
Tag: SOCKS
Selected Coefficient: 2954098
Taxonomy Path: 1.1.18.8
Taxonomy Name: Apparel & Accessories > Clothing > Socks > Knee Socks
Products with this tag: 10
Unique residual values tried: 4
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? |
|---|---|---|---|---|---|
| 2954098 | 4.000006 | 1.1.18.8 | 8.18.1.1 (8*71^3 + 18*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Socks > Knee Socks | Yes |
| 2596187 | 4.000011 | 1.1.18.7 | 7.18.1.1 (7*71^3 + 18*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Socks > Hold Up Socks | No |
| 0 | 6.014085 | 0 | 0 (0) | No | |
| -1164400 | 6.042254 | -0.70.17.3 | -3.17.70.0 (-(3*71^3 + 17*71^2 + 70*71)) | No |
These are the training products that have the "SOCKS" tag (processing sequence 2122). 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 |
|---|---|---|---|---|---|---|---|
| 10205 | Thick cable knit thigh high socks - Black | 2954098 | Apparel & Accessories > Clothing > Socks > Knee Socks | none | 0 | none | |
| 10177 | Thick cable knit thigh high socks - Pink | 2954098 | Apparel & Accessories > Clothing > Socks > Knee Socks | none | 0 | none | |
| 10200 | Thick cable knit thigh high socks - Dark Red | 2954098 | Apparel & Accessories > Clothing > Socks > Knee Socks | none | 0 | none | |
| 10203 | Thick cable knit thigh high socks - Red | 2954098 | Apparel & Accessories > Clothing > Socks > Knee Socks | none | 0 | none | |
| 10204 | Thick cable knit thigh high socks - White | 2596187 | Apparel & Accessories > Clothing > Socks > Hold Up Socks | none | -357911 | none | |
| 10201 | Thick cable knit thigh high socks - Dark Grey | 2596187 | Apparel & Accessories > Clothing > Socks > Hold Up Socks | none | -357911 | none | |
| 5418 | Wiley Red Streaks - Crew Socks - large W white on red | 0 | ALL OVER PRINT | -2954098 | none | ||
| 5430 | Wiley Red Streaks - Crew Socks - red on white | 0 | ALL OVER PRINT | -2954098 | none | ||
| 5431 | Wiley Red Streaks - Crew Socks - white on red | 0 | ALL OVER PRINT | -2954098 | none | ||
| 5417 | Wiley Red Streaks - Crew Socks - large W red on white | -1164400 | ALL OVER PRINT | -4118498 | none |