Fold 0 - Understanding why coefficient -13440 was selected
Tag: HEIGHT ADJUSTABLE
Selected Coefficient: -13440
Taxonomy Path: -10.12.2
Taxonomy Name:
Products with this tag: 9
Unique residual values tried: 6
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 | 4.025316 | -10.12.2 | -2.12.10 (-(2*79^2 + 12*79 + 10)) | Yes | |
| -26317 | 4.038135 | -10.17.4 | -4.17.10 (-(4*79^2 + 17*79 + 10)) | No | |
| 472963 | 4.038135 | 69.61.75 | 75.61.69 (75*79^2 + 61*79 + 69) | No | |
| 0 | 6.012658 | 0 | 0 (0) | No | |
| -12877 | 6.025316 | -0.5.2 | -2.5.0 (-(2*79^2 + 5*79)) | No | |
| 13440 | 8.000000 | 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 3457). 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 | 472963 | FIXED ARMS, TILT LOCK | 486403 | none | ||
| 6286 | Nebula Mesh Back Task Chair with Headrest | 13440 | Furniture > Office Furniture > Office Chairs | ADJUSTABLE LUMBAR | 26880 | HEAVY DUTY | |
| 6311 | Rover Mesh Back Task Operator Armchair with Chrome Base - Black ET | 0 | TILT LOCK | 13440 | Furniture > Office Furniture > Office Chairs | none | |
| 6306 | Pillar Black Mesh Operator Office Chair With Headrest | 0 | TILT LOCK, ADJUSTABLE LUMBAR | 13440 | Furniture > Office Furniture > Office Chairs | none | |
| 6307 | Pulse II Executive Medium Back Mesh Chair with AIRFLOW Fabric on the Seat ET | -12877 | TILT LOCK | 563 | Furniture > Chairs | none | |
| 6309 | Racer Slim High Back Designer Mesh Armchair - Black ET | -13440 | FIXED ARMS, TILT LOCK | 0 | none | ||
| 6301 | Crypto Designer Mesh Armchair with White Frame and Detailed Back Panelling ET | -13440 | FIXED ARMS, TILT LOCK | 0 | none | ||
| 6326 | Desire Medium Executive Chair White With Arms DY | -13440 | FIXED ARMS, TILT LOCK | 0 | none | ||
| 6314 | Slinger Medium Mesh Back Operator Chair ET | -26317 | FIXED ARMS, TILT LOCK | -12877 | none |