Fold 0 - 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: 13
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 | 7.000004 | 1.1.18.8 | 8.18.1.1 (8*79^3 + 18*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Socks > Knee Socks | Yes |
| 3563691 | 7.000008 | 1.1.18.7 | 7.18.1.1 (7*79^3 + 18*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Socks > Hold Up Socks | No |
| 1485279 | 9.025316 | 0.78.0.3 | 3.0.78.0 (3*79^3 + 78*79) | No | |
| -106097 | 9.025477 | -0.0.17 | -17.0.0 (-(17*79^2)) | No | |
| 0 | 9.025477 | 0 | 0 (0) | No | |
| -106256 | 10.000160 | -1.2.17 | -17.2.1 (-(17*79^2 + 2*79 + 1)) | No | |
| 967196 | 10.000320 | 78.76.75.1 | 1.75.76.78 (493039 + 75*79^2 + 76*79 + 78) | No |
These are the training products that have the "SOCKS" tag (processing sequence 2733). 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 | 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 | |
| 10203 | Thick cable knit thigh high socks - Red | 4056730 | Apparel & Accessories > Clothing > Socks > Knee Socks | none | 0 | none | |
| 10202 | Thick cable knit thigh high socks - Light 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 | |
| 11792 | Vadala Paisley Fashion Socks | 1485279 | ACCESSORIES, CLOTHING, COTTON-BLEND, MULTI | -2571451 | UNDER-50 | ||
| 11803 | Vaca Diamond Fashion Socks | 1485279 | ACCESSORIES, CLOTHING, COTTON-BLEND, MULTI | -2571451 | UNDER-50 | ||
| 5431 | Wiley Red Streaks - Crew Socks - white on red | 967196 | ACCESSORIES, AOP CLOTHING | -3089534 | none | ||
| 14334 | RETRO DEVIL SOCKS | 0 | FAIRE | -4056730 | none | ||
| 11804 | Vago Paisley Fashion Socks | -106097 | ACCESSORIES, CLOTHING, COTTON-BLEND, MULTI | -4162827 | UNDER-50 | ||
| 11805 | Vago Paisley Fashion Socks | -106256 | CHARCOAL, ACCESSORIES, CLOTHING, COTTON-BLEND, MULTI | -4162986 | UNDER-50 | ||
| 11819 | Vadala Paisley Fashion Socks | -106256 | CHARCOAL, ACCESSORIES, CLOTHING, COTTON-BLEND, MULTI | -4162986 | UNDER-50 |