Fold 4 - Understanding why coefficient 1839447 was selected
Tag: SOCKS
Selected Coefficient: 1839447
Taxonomy Path: 1.1.18.3
Taxonomy Name: Apparel & Accessories > Clothing > Socks > Crew Socks
Products with this tag: 21
Unique residual values tried: 10
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? |
|---|---|---|---|---|---|
| 1839447 | 9.036153 | 1.1.18.3 | 3.18.1.1 (3*83^3 + 18*83^2 + 83 + 1) | Apparel & Accessories > Clothing > Socks > Crew Socks | Yes |
| 4126595 | 9.036155 | 1.1.18.7 | 7.18.1.1 (7*83^3 + 18*83^2 + 83 + 1) | Apparel & Accessories > Clothing > Socks > Hold Up Socks | No |
| 4698382 | 9.036157 | 1.1.18.8 | 8.18.1.1 (8*83^3 + 18*83^2 + 83 + 1) | Apparel & Accessories > Clothing > Socks > Knee Socks | No |
| 167 | 9.108579 | 1.2 | 2.1 (2*83 + 1) | No | |
| 213726 | 9.108724 | 1.2.31 | 31.2.1 (31*83^2 + 2*83 + 1) | No | |
| 0 | 15.012048 | 0 | 0 (0) | No | |
| -1839280 | 15.060241 | -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 | |
| -4663937 | 20.000000 | -1.1.13.8 | -8.13.1.1 (-(8*83^3 + 13*83^2 + 83 + 1)) | No |
These are the training products that have the "SOCKS" tag (processing sequence 5339). 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 | 4698382 | Apparel & Accessories > Clothing > Socks > Knee Socks | none | 2858935 | none | |
| 10205 | Thick cable knit thigh high socks - Black | 4698382 | Apparel & Accessories > Clothing > Socks > Knee Socks | none | 2858935 | none | |
| 10202 | Thick cable knit thigh high socks - Light Grey | 4126595 | Apparel & Accessories > Clothing > Socks > Hold Up Socks | none | 2287148 | none | |
| 10204 | Thick cable knit thigh high socks - White | 4126595 | Apparel & Accessories > Clothing > Socks > Hold Up Socks | none | 2287148 | none | |
| 10201 | Thick cable knit thigh high socks - Dark Grey | 4126595 | Apparel & Accessories > Clothing > Socks > Hold Up Socks | none | 2287148 | none | |
| 14334 | RETRO DEVIL SOCKS | 1839447 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | 0 | none | |
| 5418 | Wiley Red Streaks - Crew Socks - large W white on red | 1839447 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | 0 | none | |
| 5430 | Wiley Red Streaks - Crew Socks - red on white | 1839447 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | 0 | none | |
| 5431 | Wiley Red Streaks - Crew Socks - white on red | 1839447 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | 0 | none | |
| 30690 | Kentucky Horse Shoes in Green | 213726 | none | -1625721 | 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 | -1832459 | none | ||
| 5417 | Wiley Red Streaks - Crew Socks - large W red on white | 167 | none | -1839280 | none | ||
| 29890 | Jersey Man Socks Alpaca | 167 | none | -1839280 | none | ||
| 27080 | Produce Bags / Toy Organic Cotton Mesh Bags Zero Waste | 15 | none | -1839432 | TOYS | ||
| 11380 | Vader Dotted Fashion Socks | 0 | VANNUCCI | -1839447 | COTTON-BLEND | ||
| 11819 | Vadala Paisley Fashion Socks | 0 | VANNUCCI | -1839447 | COTTON-BLEND | ||
| 11803 | Vaca Diamond Fashion Socks | 0 | VANNUCCI | -1839447 | COTTON-BLEND | ||
| 11792 | Vadala Paisley Fashion Socks | 0 | VANNUCCI | -1839447 | COTTON-BLEND | ||
| 11805 | Vago Paisley Fashion Socks | 0 | VANNUCCI | -1839447 | COTTON-BLEND | ||
| 11804 | Vago Paisley Fashion Socks | -1839280 | VANNUCCI | -3678727 | COTTON-BLEND | ||
| 24568 | Monsters 3 Pair Pack | -4663937 | MEMORIAL 2023, SHOP ALL | -6503384 | none |