Fold 4 - Understanding why coefficient 563 was selected
Tag: HEIGHT ADJUSTABLE
Selected Coefficient: 563
Taxonomy Path: 10.7
Taxonomy Name: Furniture > Chairs
Products with this tag: 9
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? |
|---|---|---|---|---|---|
| 563 | 0.025477 | 10.7 | 7.10 (7*79 + 10) | Furniture > Chairs | Yes |
| 499843 | 0.026278 | 10.7.1.1 | 1.1.7.10 (493039 + 6241 + 7*79 + 10) | Furniture > Chairs > Armchairs, Recliners & Sleeper Chairs > Armchairs | No |
| 13440 | 0.088608 | 10.12.2 | 2.12.10 (2*79^2 + 12*79 + 10) | Furniture > Office Furniture > Office Chairs | No |
These are the training products that have the "HEIGHT ADJUSTABLE" tag (processing sequence 2304). 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 |
|---|---|---|---|---|---|---|---|
| 6305 | Mars Mesh Back Operator Armchair with Fluted Black Nylon Base ET | 499843 | Furniture > Chairs > Armchairs, Recliners & Sleeper Chairs > Armchairs | none | 499280 | none | |
| 6301 | Crypto Designer Mesh Armchair with White Frame and Detailed Back Panelling ET | 13440 | Furniture > Office Furniture > Office Chairs | none | 12877 | none | |
| 6326 | Desire Medium Executive Chair White With Arms DY | 13440 | Furniture > Office Furniture > Office Chairs | none | 12877 | none | |
| 6307 | Pulse II Executive Medium Back Mesh Chair with AIRFLOW Fabric on the Seat ET | 563 | Furniture > Chairs | none | 0 | none | |
| 6314 | Slinger Medium Mesh Back Operator Chair ET | 563 | Furniture > Chairs | none | 0 | none | |
| 6316 | Storm Medium Back Mesh Chair with Contoured Back and Upholstered Black Fabric Seat with Waterfall Front - Black ET | 563 | Furniture > Chairs | none | 0 | none | |
| 6306 | Pillar Black Mesh Operator Office Chair With Headrest | 563 | Furniture > Chairs | none | 0 | ADJUSTABLE HEADREST, ADJUSTABLE LUMBAR | |
| 6290 | Scurro Executive Leather Task Chair | 563 | Furniture > Chairs | none | 0 | none | |
| 6286 | Nebula Mesh Back Task Chair with Headrest | 563 | Furniture > Chairs | none | 0 | ADJUSTABLE HEADREST, ADJUSTABLE LUMBAR, HEAVY DUTY |