Fold 2 - Understanding why coefficient 3563691 was selected
Tag: SOCKS
Selected Coefficient: 3563691
Taxonomy Path: 1.1.18.7
Taxonomy Name: Apparel & Accessories > Clothing > Socks > Hold Up Socks
Products with this tag: 14
Unique residual values tried: 8
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 | 8.000006 | 1.1.18.8 | 8.18.1.1 (8*79^3 + 18*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Socks > Knee Socks | No |
| 3563691 | 8.000006 | 1.1.18.7 | 7.18.1.1 (7*79^3 + 18*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Socks > Hold Up Socks | Yes |
| 0 | 8.038135 | 0 | 0 (0) | No | |
| -599136 | 8.038295 | -0.0.17.1 | -1.17.0.0 (-(493039 + 17*79^2)) | No | |
| 992240 | 8.050633 | 0.78.0.2 | 2.0.78.0 (2*79^3 + 78*79) | No | |
| -1591376 | 8.063291 | -0.78.17.3 | -3.17.78.0 (-(3*79^3 + 17*79^2 + 78*79)) | No | |
| 12999206 | 13.000000 | 72.68.28.26 | 26.28.68.72 (26*79^3 + 28*79^2 + 68*79 + 72) | No | |
| -5005441 | 13.000000 | -1.2.12.10 | -10.12.2.1 (-(10*79^3 + 12*79^2 + 2*79 + 1)) | No |
These are the training products that have the "SOCKS" tag (processing sequence 2729). 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 |
|---|---|---|---|---|---|---|---|
| 11819 | Vadala Paisley Fashion Socks | 12999206 | ACCESSORIES, CHARCOAL, CLOTHING, COTTON-BLEND | 9435515 | UNDER-50 | ||
| 10200 | Thick cable knit thigh high socks - Dark Red | 4056730 | Apparel & Accessories > Clothing > Socks > Knee Socks | none | 493039 | none | |
| 10205 | Thick cable knit thigh high socks - Black | 4056730 | Apparel & Accessories > Clothing > Socks > Knee Socks | none | 493039 | none | |
| 10177 | Thick cable knit thigh high socks - Pink | 4056730 | Apparel & Accessories > Clothing > Socks > Knee Socks | none | 493039 | none | |
| 10204 | Thick cable knit thigh high socks - White | 3563691 | Apparel & Accessories > Clothing > Socks > Hold Up Socks | none | 0 | none | |
| 10201 | Thick cable knit thigh high socks - Dark Grey | 3563691 | Apparel & Accessories > Clothing > Socks > Hold Up Socks | none | 0 | none | |
| 10202 | Thick cable knit thigh high socks - Light Grey | 3563691 | Apparel & Accessories > Clothing > Socks > Hold Up Socks | none | 0 | none | |
| 11792 | Vadala Paisley Fashion Socks | 992240 | ACCESSORIES, CLOTHING, COTTON-BLEND | -2571451 | UNDER-50 | ||
| 11380 | Vader Dotted Fashion Socks | 992240 | ACCESSORIES, CLOTHING, COTTON-BLEND | -2571451 | UNDER-50 | ||
| 5418 | Wiley Red Streaks - Crew Socks - large W white on red | 0 | ACCESSORIES, ALL OVER PRINT | -3563691 | none | ||
| 5430 | Wiley Red Streaks - Crew Socks - red on white | 0 | ACCESSORIES, ALL OVER PRINT | -3563691 | none | ||
| 11804 | Vago Paisley Fashion Socks | -599136 | ACCESSORIES, CLOTHING, COTTON-BLEND | -4162827 | UNDER-50 | ||
| 5417 | Wiley Red Streaks - Crew Socks - large W red on white | -1591376 | ACCESSORIES, ALL OVER PRINT | -5155067 | none | ||
| 11803 | Vaca Diamond Fashion Socks | -5005441 | BLUE, ACCESSORIES, CLOTHING, COTTON-BLEND | -8569132 | UNDER-50 |