Fold 1 - Understanding why coefficient 4698382 was selected
Tag: SOCKS
Selected Coefficient: 4698382
Taxonomy Path: 1.1.18.8
Taxonomy Name: Apparel & Accessories > Clothing > Socks > Knee Socks
Products with this tag: 19
Unique residual values tried: 9
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? |
|---|---|---|---|---|---|
| 4698382 | 9.024103 | 1.1.18.8 | 8.18.1.1 (8*83^3 + 18*83^2 + 83 + 1) | Apparel & Accessories > Clothing > Socks > Knee Socks | Yes |
| 4126595 | 9.024105 | 1.1.18.7 | 7.18.1.1 (7*83^3 + 18*83^2 + 83 + 1) | Apparel & Accessories > Clothing > Socks > Hold Up Socks | No |
| 1839447 | 9.024109 | 1.1.18.3 | 3.18.1.1 (3*83^3 + 18*83^2 + 83 + 1) | Apparel & Accessories > Clothing > Socks > Crew Socks | No |
| 167 | 9.096531 | 1.2 | 2.1 (2*83 + 1) | No | |
| 213726 | 9.096531 | 1.2.31 | 31.2.1 (31*83^2 + 2*83 + 1) | No | |
| 0 | 12.012048 | 0 | 0 (0) | No | |
| -1839280 | 12.072289 | -0.82.17.3 | -3.17.82.0 (-(3*83^3 + 17*83^2 + 82*83)) | No | |
| -4023329 | 18.000000 | -70.1.3.7 | -7.3.1.70 (-(7*83^3 + 3*83^2 + 83 + 70)) | No | |
| -9327707 | 18.000000 | -1.0.26.16 | -16.26.0.1 (-(16*83^3 + 26*83^2 + 1)) | No |
These are the training products that have the "SOCKS" tag (processing sequence 5918). 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 |
|---|---|---|---|---|---|---|---|
| 10200 | Thick cable knit thigh high socks - Dark Red | 4698382 | Apparel & Accessories > Clothing > Socks > Knee Socks | none | 0 | none | |
| 10203 | Thick cable knit thigh high socks - Red | 4698382 | Apparel & Accessories > Clothing > Socks > Knee Socks | none | 0 | none | |
| 10205 | Thick cable knit thigh high socks - Black | 4698382 | Apparel & Accessories > Clothing > Socks > Knee Socks | none | 0 | none | |
| 10177 | Thick cable knit thigh high socks - Pink | 4698382 | Apparel & Accessories > Clothing > Socks > Knee Socks | none | 0 | none | |
| 10204 | Thick cable knit thigh high socks - White | 4126595 | Apparel & Accessories > Clothing > Socks > Hold Up Socks | none | -571787 | none | |
| 10201 | Thick cable knit thigh high socks - Dark Grey | 4126595 | Apparel & Accessories > Clothing > Socks > Hold Up Socks | none | -571787 | none | |
| 10202 | Thick cable knit thigh high socks - Light Grey | 4126595 | Apparel & Accessories > Clothing > Socks > Hold Up Socks | none | -571787 | none | |
| 14334 | RETRO DEVIL SOCKS | 1839447 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | -2858935 | none | |
| 30690 | Kentucky Horse Shoes in Green | 213726 | none | -4484656 | none | ||
| 23826 | FACTORY SOCKS (#3, #4, #5 SOLD OUT) | 167 | none | -4698215 | none | ||
| 11380 | Vader Dotted Fashion Socks | 0 | VANNUCCI | -4698382 | UNDER-50 | ||
| 5431 | Wiley Red Streaks - Crew Socks - white on red | 0 | AOP CLOTHING | -4698382 | none | ||
| 5418 | Wiley Red Streaks - Crew Socks - large W white on red | 0 | AOP CLOTHING | -4698382 | none | ||
| 11803 | Vaca Diamond Fashion Socks | 0 | VANNUCCI | -4698382 | UNDER-50 | ||
| 11805 | Vago Paisley Fashion Socks | 0 | VANNUCCI | -4698382 | UNDER-50 | ||
| 11819 | Vadala Paisley Fashion Socks | 0 | VANNUCCI | -4698382 | UNDER-50 | ||
| 11804 | Vago Paisley Fashion Socks | -1839280 | VANNUCCI | -6537662 | UNDER-50 | ||
| 27080 | Produce Bags / Toy Organic Cotton Mesh Bags Zero Waste | -4023329 | TOYS | -8721711 | LAUNDRY | ||
| 24568 | Monsters 3 Pair Pack | -9327707 | MEMORIAL 2023, SHOP ALL | -14026089 | none |