Fold 1 - Understanding why coefficient 563 was selected
Tag: FIXED ARMS
Selected Coefficient: 563
Taxonomy Path: 10.7
Taxonomy Name: Furniture > Chairs
Products with this tag: 8
Unique residual values tried: 7
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 | 5.012658 | 10.7 | 7.10 (7*79 + 10) | Furniture > Chairs | Yes |
| 13440 | 5.025316 | 10.12.2 | 2.12.10 (2*79^2 + 12*79 + 10) | Furniture > Office Furniture > Office Chairs | No |
| -5984241 | 6.012658 | -70.67.10.12 | -12.10.67.70 (-(12*79^3 + 10*79^2 + 67*79 + 70)) | No | |
| -10621859 | 6.012658 | -72.74.42.21 | -21.42.74.72 (-(21*79^3 + 42*79^2 + 74*79 + 72)) | No | |
| -5497838 | 6.012658 | -70.72.11.11 | -11.11.72.70 (-(11*79^3 + 11*79^2 + 72*79 + 70)) | No | |
| -7626337 | 6.012658 | -72.76.36.15 | -15.36.76.72 (-(15*79^3 + 36*79^2 + 76*79 + 72)) | No | |
| -5123458 | 7.000000 | -71.73.30.10 | -10.30.73.71 (-(10*79^3 + 30*79^2 + 73*79 + 71)) | No |
These are the training products that have the "FIXED ARMS" tag (processing sequence 1392). 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 |
|---|---|---|---|---|---|---|---|
| 6309 | Racer Slim High Back Designer Mesh Armchair - Black ET | 13440 | Furniture > Office Furniture > Office Chairs | none | 12877 | none | |
| 6290 | Scurro Executive Leather Task Chair | 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 | |
| 6314 | Slinger Medium Mesh Back Operator Chair ET | -5123458 | ORANGE, GREEN | -5124021 | none | ||
| 6305 | Mars Mesh Back Operator Armchair with Fluted Black Nylon Base ET | -5497838 | BLUE | -5498401 | none | ||
| 6301 | Crypto Designer Mesh Armchair with White Frame and Detailed Back Panelling ET | -5984241 | BLUE | -5984804 | none | ||
| 6317 | Vantage Fabric Operator Chair | -7626337 | GREY, BLUE, CHARCOAL | -7626900 | none | ||
| 6303 | Halo Medium Mesh Back Task Operator Armchair with Chrome Base ET | -10621859 | BLUE, ORANGE, GREEN | -10622422 | none |