Fold 0 - Understanding why coefficient 13045 was selected
Tag: BEANDBAGS
Selected Coefficient: 13045
Taxonomy Path: 10.7.2
Taxonomy Name: Furniture > Chairs > Bean Bag Chairs
Products with this tag: 17
Unique residual values tried: 2
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? |
|---|---|---|---|---|---|
| 13045 | 0.025316 | 10.7.2 | 2.7.10 (2*79^2 + 7*79 + 10) | Furniture > Chairs > Bean Bag Chairs | Yes |
| 1116 | 0.189873 | 10.14 | 14.10 (14*79 + 10) | Furniture > Ottomans | No |
These are the training products that have the "BEANDBAGS" tag (processing sequence 774). 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 |
|---|---|---|---|---|---|---|---|
| 13182 | Chunky knitted SET bean bag & bolster footrest | BABY BLUE | 13045 | Furniture > Chairs > Bean Bag Chairs | none | 0 | none | |
| 13074 | Chunky knitted bean bag | AUBERGINE | 13045 | Furniture > Chairs > Bean Bag Chairs | none | 0 | none | |
| 13075 | Chunky knitted bean bag | AVOCADO | 13045 | Furniture > Chairs > Bean Bag Chairs | none | 0 | none | |
| 13081 | Chunky knitted bean bag | BEIGE | 13045 | Furniture > Chairs > Bean Bag Chairs | none | 0 | none | |
| 13119 | Chunky knitted bean bag | CHARCOAL | 13045 | Furniture > Chairs > Bean Bag Chairs | none | 0 | none | |
| 13120 | Chunky knitted bean bag | GRAPHITE | 13045 | Furniture > Chairs > Bean Bag Chairs | none | 0 | none | |
| 13180 | Chunky knitted SET bean bag & bolster footrest | AUBERGINE | 13045 | Furniture > Chairs > Bean Bag Chairs | none | 0 | none | |
| 13073 | Chunky knitted bean bag | OATMEAL | 13045 | Furniture > Chairs > Bean Bag Chairs | none | 0 | none | |
| 13122 | Chunky knitted bean bag | LIGHT GREY | 13045 | Furniture > Chairs > Bean Bag Chairs | none | 0 | none | |
| 13128 | Chunky knitted bean bag | LIGHT OLIVE | 13045 | Furniture > Chairs > Bean Bag Chairs | none | 0 | none | |
| 13129 | Chunky knitted bean bag | MOCHA | 13045 | Furniture > Chairs > Bean Bag Chairs | none | 0 | none | |
| 13131 | Chunky knitted bean bag | PALE BLUE | 13045 | Furniture > Chairs > Bean Bag Chairs | none | 0 | none | |
| 13132 | Chunky knitted bean bag | POWDER PINK | 13045 | Furniture > Chairs > Bean Bag Chairs | none | 0 | none | |
| 13133 | Chunky knitted bean bag | PUMPKIN | 13045 | Furniture > Chairs > Bean Bag Chairs | none | 0 | none | |
| 13139 | Chunky knitted bean bag | TERRACOTTA | 13045 | Furniture > Chairs > Bean Bag Chairs | none | 0 | none | |
| 13121 | Chunky knitted bean bag | IVORY | 1116 | Furniture > Ottomans | none | -11929 | none | |
| 13181 | Chunky knitted SET bean bag & bolster footrest | AVOCADO | 1116 | Furniture > Ottomans | none | -11929 | none |