Fold 1 - Understanding why coefficient 1267660 was selected
Tag: ATHLETIC
Selected Coefficient: 1267660
Taxonomy Path: 1.1.18.2
Taxonomy Name: Apparel & Accessories > Clothing > Socks > Athletic Socks
Products with this tag: 20
Unique residual values tried: 5
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? |
|---|---|---|---|---|---|
| 1267660 | 1.012199 | 1.1.18.2 | 2.18.1.1 (2*83^3 + 18*83^2 + 83 + 1) | Apparel & Accessories > Clothing > Socks > Athletic Socks | Yes |
| 1839447 | 1.012218 | 1.1.18.3 | 3.18.1.1 (3*83^3 + 18*83^2 + 83 + 1) | Apparel & Accessories > Clothing > Socks > Crew Socks | No |
| 1281438 | 1.014516 | 1.1.20.2 | 2.20.1.1 (2*83^3 + 20*83^2 + 83 + 1) | Apparel & Accessories > Clothing > Swimwear > Boardshorts | No |
| 167 | 1.216867 | 1.2 | 2.1 (2*83 + 1) | No | |
| 0 | 19.000000 | 0 | 0 (0) | No |
These are the training products that have the "ATHLETIC" tag (processing sequence 3261). 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 |
|---|---|---|---|---|---|---|---|
| 11357 | 4th Ave Tag | 1839447 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | 571787 | none | |
| 11333 | C.r.e.a.m. | 1839447 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | 571787 | none | |
| 11240 | Tapestry | 1839447 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | 571787 | none | |
| 1478 | Black Gumball Board Shorts | 1281438 | Apparel & Accessories > Clothing > Swimwear > Boardshorts | none | 13778 | SWIM, WORKOUT, PANTS, HIKING, BOTTOMS | |
| 11253 | Namaste Bitches | 1267660 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 0 | none | |
| 11267 | Mary-Jane Austen | 1267660 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 0 | none | |
| 11279 | Lily Vanilli | 1267660 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 0 | none | |
| 11280 | Let Me See Your Peacock | 1267660 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 0 | none | |
| 11281 | Ladybird | 1267660 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 0 | BIRDS | |
| 11306 | Ikatching | 1267660 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 0 | none | |
| 11314 | Heaven Cent | 1267660 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 0 | none | |
| 11315 | Fleeky Friday | 1267660 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 0 | none | |
| 11331 | Coachillin' | 1267660 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 0 | PATTERN | |
| 11345 | Berry Go Round | 1267660 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 0 | none | |
| 11358 | 'Merica! | 1267660 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 0 | none | |
| 11235 | Uncle Sam | 1267660 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 0 | none | |
| 11247 | Pretty Liar | 1267660 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 0 | none | |
| 11248 | Mellow Yellow | 1267660 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 0 | none | |
| 11269 | Lucy's In The Sky | 167 | none | -1267493 | none | ||
| 1479 | Black Gumball Star Bra | 0 | SPORTS BRA | -1267660 | COZY, HIKING |