Fold 0 - Understanding why coefficient 143702 was selected
Tag: WOVEN SILK
Selected Coefficient: 143702
Taxonomy Path: 1.2.23
Taxonomy Name: Apparel & Accessories > Clothing Accessories > Neckties
Products with this tag: 12
Unique residual values tried: 1
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? |
|---|---|---|---|---|---|
| 143702 | 0.000000 | 1.2.23 | 23.2.1 (23*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Neckties | Yes |
These are the training products that have the "WOVEN SILK" tag (processing sequence 16). 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 |
|---|---|---|---|---|---|---|---|
| 14331 | Duck Bow Tie - Navy, Woven Silk | 143702 | Apparel & Accessories > Clothing Accessories > Neckties | none | 0 | NAVY | |
| 14332 | Sperm Whale Necktie - Grey on Navy, Woven Silk | 143702 | Apparel & Accessories > Clothing Accessories > Neckties | none | 0 | NAVY, WOVEN TIE | |
| 14333 | Humpback Whale Necktie - Woven Silk | 143702 | Apparel & Accessories > Clothing Accessories > Neckties | none | 0 | NAVY, PINK PATTERN, WOVEN TIE | |
| 14371 | Flamingo Bow Tie - Turquoise on Navy, Woven Silk | 143702 | Apparel & Accessories > Clothing Accessories > Neckties | none | 0 | NAVY, GREEN PATTERN | |
| 14391 | Flamingo Bow Tie - Pink on Navy, Woven Silk | 143702 | Apparel & Accessories > Clothing Accessories > Neckties | none | 0 | NAVY, GREEN PATTERN | |
| 14397 | Deer Bow Tie - Navy, Buck Head, Woven Silk | 143702 | Apparel & Accessories > Clothing Accessories > Neckties | none | 0 | NAVY, GREEN PATTERN | |
| 14434 | Dragonfly Bow Tie - Yellow on Gray, Woven Silk | 143702 | Apparel & Accessories > Clothing Accessories > Neckties | none | 0 | GRAY | |
| 14438 | Owl Bow Tie - Blue on Navy, Woven Silk | 143702 | Apparel & Accessories > Clothing Accessories > Neckties | none | 0 | NAVY | |
| 14439 | Turtle Bow Tie - Pink on Blue, Woven Silk | 143702 | Apparel & Accessories > Clothing Accessories > Neckties | none | 0 | PINK PATTERN | |
| 14440 | Humpback Whale Bow Tie - Woven Silk | 143702 | Apparel & Accessories > Clothing Accessories > Neckties | none | 0 | NAVY, PINK PATTERN | |
| 14446 | Turtle Bow Tie - Green on Navy, Woven Silk | 143702 | Apparel & Accessories > Clothing Accessories > Neckties | none | 0 | NAVY | |
| 14459 | Octopus Bow Tie - Blue, Woven Silk | 143702 | Apparel & Accessories > Clothing Accessories > Neckties | none | 0 | none |