Fold 0 - Understanding why coefficient 1098496 was selected
Tag: ATHLETIC
Selected Coefficient: 1098496
Taxonomy Path: 1.1.18.2
Taxonomy Name: Apparel & Accessories > Clothing > Socks > Athletic Socks
Products with this tag: 17
Unique residual values tried: 3
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? |
|---|---|---|---|---|---|
| 1098496 | 0.012662 | 1.1.18.2 | 2.18.1.1 (2*79^3 + 18*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Socks > Athletic Socks | Yes |
| 1591535 | 0.012687 | 1.1.18.3 | 3.18.1.1 (3*79^3 + 18*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Socks > Crew Socks | No |
| 159 | 0.202532 | 1.2 | 2.1 (2*79 + 1) | Apparel & Accessories > Clothing Accessories | No |
These are the training products that have the "ATHLETIC" tag (processing sequence 1867). 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 |
|---|---|---|---|---|---|---|---|
| 11333 | C.r.e.a.m. | 1591535 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | 493039 | none | |
| 11295 | Kryptonite | 1591535 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | 493039 | none | |
| 11248 | Mellow Yellow | 1098496 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 0 | none | |
| 11267 | Mary-Jane Austen | 1098496 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 0 | none | |
| 11268 | Marble.O Country | 1098496 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 0 | none | |
| 11279 | Lily Vanilli | 1098496 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 0 | none | |
| 11280 | Let Me See Your Peacock | 1098496 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 0 | none | |
| 11281 | Ladybird | 1098496 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 0 | none | |
| 11306 | Ikatching | 1098496 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 0 | none | |
| 11314 | Heaven Cent | 1098496 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 0 | none | |
| 11315 | Fleeky Friday | 1098496 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 0 | none | |
| 11331 | Coachillin' | 1098496 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 0 | none | |
| 11344 | Block Party | 1098496 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 0 | none | |
| 11358 | 'Merica! | 1098496 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 0 | none | |
| 11235 | Uncle Sam | 1098496 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 0 | none | |
| 11233 | Yo! | 1098496 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 0 | none | |
| 11346 | Baliwood | 159 | Apparel & Accessories > Clothing Accessories | none | -1098337 | none |