Fold 0 - 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: 35
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 9). 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 |
|---|---|---|---|---|---|---|---|
| 11914 | Matte Black White / Brown | 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 | |
| 11948 | Matte Black White / Tan Silicone | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 11958 | Matte Black / Slate | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 11959 | Matte Black / Terra | 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 | |
| 11992 | Matte Black White / White | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 11993 | Matte Black White / Black | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 11994 | Silver White / Navy | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 12093 | Matte Black / Navy | 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 | |
| 12144 | Silver White / Terra | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 12145 | Silver White / Slate | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 12146 | Silver White / White | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 12148 | Rose White / Sky | 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 | |
| 12153 | Rose White / Terra | 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 | |
| 12157 | Matte Rose Gold / Navy | 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 | |
| 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 | |
| 12166 | Matte Rose Gold / Sky | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none |