Fold 3 - Understanding why coefficient 4056730 was selected
Tag: SOCKS
Selected Coefficient: 4056730
Taxonomy Path: 1.1.18.8
Taxonomy Name: Apparel & Accessories > Clothing > Socks > Knee Socks
Products with this tag: 17
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? |
|---|---|---|---|---|---|
| 4056730 | 7.012668 | 1.1.18.8 | 8.18.1.1 (8*79^3 + 18*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Socks > Knee Socks | Yes |
| 3563691 | 7.012670 | 1.1.18.7 | 7.18.1.1 (7*79^3 + 18*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Socks > Hold Up Socks | No |
| 1591535 | 7.012672 | 1.1.18.3 | 3.18.1.1 (3*79^3 + 18*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Socks > Crew Socks | No |
| 159 | 7.113924 | 1.2 | 2.1 (2*79 + 1) | Apparel & Accessories > Clothing Accessories | No |
| 0 | 10.012818 | 0 | 0 (0) | No | |
| -4406146 | 10.013459 | -0.0.74.8 | -8.74.0.0 (-(8*79^3 + 74*79^2)) | No | |
| -1591376 | 10.075949 | -0.78.17.3 | -3.17.78.0 (-(3*79^3 + 17*79^2 + 78*79)) | No |
These are the training products that have the "SOCKS" tag (processing sequence 2732). 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 |
|---|---|---|---|---|---|---|---|
| 10203 | Thick cable knit thigh high socks - Red | 4056730 | Apparel & Accessories > Clothing > Socks > Knee Socks | none | 0 | none | |
| 10205 | Thick cable knit thigh high socks - Black | 4056730 | Apparel & Accessories > Clothing > Socks > Knee Socks | none | 0 | none | |
| 10177 | Thick cable knit thigh high socks - Pink | 4056730 | Apparel & Accessories > Clothing > Socks > Knee Socks | none | 0 | none | |
| 10200 | Thick cable knit thigh high socks - Dark Red | 4056730 | Apparel & Accessories > Clothing > Socks > Knee Socks | none | 0 | none | |
| 10201 | Thick cable knit thigh high socks - Dark Grey | 3563691 | Apparel & Accessories > Clothing > Socks > Hold Up Socks | none | -493039 | none | |
| 10204 | Thick cable knit thigh high socks - White | 3563691 | Apparel & Accessories > Clothing > Socks > Hold Up Socks | none | -493039 | none | |
| 10202 | Thick cable knit thigh high socks - Light Grey | 3563691 | Apparel & Accessories > Clothing > Socks > Hold Up Socks | none | -493039 | none | |
| 14334 | RETRO DEVIL SOCKS | 1591535 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | -2465195 | none | |
| 11380 | Vader Dotted Fashion Socks | 1591535 | Apparel & Accessories > Clothing > Socks > Crew Socks | CLOTHING, COTTON-BLEND | -2465195 | UNDER-50, VANNUCCI, MULTI | |
| 11804 | Vago Paisley Fashion Socks | 159 | Apparel & Accessories > Clothing Accessories | CLOTHING, COTTON-BLEND | -4056571 | UNDER-50, VANNUCCI, MULTI | |
| 5418 | Wiley Red Streaks - Crew Socks - large W white on red | 0 | ALL OVER PRINT | -4056730 | none | ||
| 5431 | Wiley Red Streaks - Crew Socks - white on red | 0 | ALL OVER PRINT | -4056730 | none | ||
| 11819 | Vadala Paisley Fashion Socks | 0 | CHARCOAL, CLOTHING, COTTON-BLEND | -4056730 | UNDER-50, VANNUCCI, MULTI | ||
| 5430 | Wiley Red Streaks - Crew Socks - red on white | 0 | ALL OVER PRINT | -4056730 | none | ||
| 11805 | Vago Paisley Fashion Socks | 0 | CHARCOAL, CLOTHING, COTTON-BLEND | -4056730 | UNDER-50, VANNUCCI, MULTI | ||
| 5417 | Wiley Red Streaks - Crew Socks - large W red on white | -1591376 | ALL OVER PRINT | -5648106 | none | ||
| 11803 | Vaca Diamond Fashion Socks | -4406146 | BLUE, CLOTHING, COTTON-BLEND | -8462876 | UNDER-50, VANNUCCI, MULTI |