Fold 0 - Understanding why coefficient 13440 was selected
Tag: FIXED ARMS
Selected Coefficient: 13440
Taxonomy Path: 10.12.2
Taxonomy Name: Furniture > Office Furniture > Office Chairs
Products with this tag: 6
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? |
|---|---|---|---|---|---|
| 13440 | 0.025316 | 10.12.2 | 2.12.10 (2*79^2 + 12*79 + 10) | Furniture > Office Furniture > Office Chairs | Yes |
| 563 | 0.050793 | 10.7 | 7.10 (7*79 + 10) | Furniture > Chairs | No |
| 499843 | 0.050793 | 10.7.1.1 | 1.1.7.10 (493039 + 6241 + 7*79 + 10) | Furniture > Chairs > Armchairs, Recliners & Sleeper Chairs > Armchairs | No |
These are the training products that have the "FIXED ARMS" tag (processing sequence 2327). 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 |
|---|---|---|---|---|---|---|---|
| 6303 | Halo Medium Mesh Back Task Operator Armchair with Chrome Base ET | 499843 | Furniture > Chairs > Armchairs, Recliners & Sleeper Chairs > Armchairs | none | 486403 | TILT LOCK, HEIGHT ADJUSTABLE | |
| 6301 | Crypto Designer Mesh Armchair with White Frame and Detailed Back Panelling ET | 13440 | Furniture > Office Furniture > Office Chairs | none | 0 | TILT LOCK, HEIGHT ADJUSTABLE | |
| 6309 | Racer Slim High Back Designer Mesh Armchair - Black ET | 13440 | Furniture > Office Furniture > Office Chairs | none | 0 | TILT LOCK, HEIGHT ADJUSTABLE | |
| 6317 | Vantage Fabric Operator Chair | 13440 | Furniture > Office Furniture > Office Chairs | none | 0 | TILT LOCK | |
| 6326 | Desire Medium Executive Chair White With Arms DY | 13440 | Furniture > Office Furniture > Office Chairs | none | 0 | TILT LOCK, HEIGHT ADJUSTABLE | |
| 6314 | Slinger Medium Mesh Back Operator Chair ET | 563 | Furniture > Chairs | none | -12877 | TILT LOCK, HEIGHT ADJUSTABLE |