Fold 4 - Understanding why coefficient 69126 was selected
Tag: INTERCHANGEABLE WATCH
Selected Coefficient: 69126
Taxonomy Path: 1.6.11
Taxonomy Name: Apparel & Accessories > Jewelry > Watches
Products with this tag: 36
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? |
|---|---|---|---|---|---|
| 69126 | 0.000000 | 1.6.11 | 11.6.1 (11*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Watches | Yes |
These are the training products that have the "INTERCHANGEABLE WATCH" tag (processing sequence 10). 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 |
|---|---|---|---|---|---|---|---|
| 11913 | Rose White / Navy | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 11922 | Matte Black White / Orange | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 11938 | Matte Black White / Sky | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 11947 | Matte Black White / Navy | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 11949 | Matte Black White / Sand | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 11957 | Matte Black / Tan Silicone | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 11958 | Matte Black / Slate | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 11960 | Matte Black / Sky | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 11990 | Matte Black White / Terra | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 11991 | Matte Black White / Slate | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 11994 | Silver White / Navy | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 12091 | Matte Black / Orange | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 12092 | Matte Black / Brown | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 12093 | Matte Black / Navy | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 12139 | Silver White / Sky | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 12140 | Silver White / Tan Silicone | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 12141 | Silver White / Sand | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 12142 | Silver White / Black | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 12143 | Silver White / Orange | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 12145 | Silver White / Slate | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 12147 | Silver White / Brown | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 12149 | Rose White / Orange | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 12150 | Rose White / Brown | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 12151 | Rose White / Tan Silicone | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 12152 | Rose White / Sand | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 12154 | Rose White / Slate | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 12155 | Rose White / White | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 12156 | Rose White / Black | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 12158 | Matte Rose Gold / Sand | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 12159 | Matte Rose Gold / White | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 12160 | Matte Rose Gold / Orange | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 12161 | Matte Rose Gold / Black | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 12162 | Matte Rose Gold / Tan Silicone | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 12163 | Matte Rose Gold / Slate | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 12164 | Matte Rose Gold / Brown | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 12165 | Matte Rose Gold / Terra | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none |