Fold 0 - 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: 21
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 | 11.036150 | 1.1.18.8 | 8.18.1.1 (8*83^3 + 18*83^2 + 83 + 1) | Apparel & Accessories > Clothing > Socks > Knee Socks | Yes |
| 4126595 | 11.036153 | 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 | 11.036155 | 1.1.18.3 | 3.18.1.1 (3*83^3 + 18*83^2 + 83 + 1) | Apparel & Accessories > Clothing > Socks > Crew Socks | No |
| 167 | 11.084483 | 1.2 | 2.1 (2*83 + 1) | No | |
| 213726 | 11.084628 | 1.2.31 | 31.2.1 (31*83^2 + 2*83 + 1) | No | |
| 0 | 12.024096 | 0 | 0 (0) | No | |
| -1839280 | 12.084337 | -0.82.17.3 | -3.17.82.0 (-(3*83^3 + 17*83^2 + 82*83)) | No | |
| 6988 | 20.000000 | 16.1.1 | 1.1.16 (6889 + 83 + 16) | No | |
| 15 | 20.000000 | 15 | 15 (15) | No |
These are the training products that have the "SOCKS" tag (processing sequence 5790). 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 | |
| 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 | ||
| 23326 | Bundle of Women's Lingerie Set Short Skirt With Stockings Socks Nightwear and Women's Lace Nightgown Spaghetti Strap Babydoll Nightwear Chemise | 6988 | none | -4691394 | none | ||
| 29890 | Jersey Man Socks Alpaca | 167 | none | -4698215 | none | ||
| 23826 | FACTORY SOCKS (#3, #4, #5 SOLD OUT) | 167 | none | -4698215 | none | ||
| 27080 | Produce Bags / Toy Organic Cotton Mesh Bags Zero Waste | 15 | none | -4698367 | TOYS, LAUNDRY | ||
| 11380 | Vader Dotted Fashion Socks | 0 | VANNUCCI | -4698382 | SUITING | ||
| 5418 | Wiley Red Streaks - Crew Socks - large W white on red | 0 | AOP CLOTHING | -4698382 | none | ||
| 5430 | Wiley Red Streaks - Crew Socks - red on white | 0 | AOP CLOTHING | -4698382 | none | ||
| 5431 | Wiley Red Streaks - Crew Socks - white on red | 0 | AOP CLOTHING | -4698382 | none | ||
| 11792 | Vadala Paisley Fashion Socks | 0 | VANNUCCI | -4698382 | SUITING | ||
| 11803 | Vaca Diamond Fashion Socks | 0 | VANNUCCI | -4698382 | SUITING | ||
| 11819 | Vadala Paisley Fashion Socks | 0 | VANNUCCI | -4698382 | SUITING | ||
| 11804 | Vago Paisley Fashion Socks | -1839280 | VANNUCCI | -6537662 | SUITING | ||
| 5417 | Wiley Red Streaks - Crew Socks - large W red on white | -1839280 | AOP CLOTHING | -6537662 | none |