Fold 3 - Understanding why coefficient 4037063 was selected
Tag: 4THOFJULY
Selected Coefficient: 4037063
Taxonomy Path: 26.1.5.7
Taxonomy Name:
Products with this tag: 8
Unique residual values tried: 8
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? |
|---|---|---|---|---|---|
| 4037063 | 6.000002 | 26.1.5.7 | 7.5.1.26 (7*83^3 + 5*83^2 + 83 + 26) | Yes | |
| 48636449 | 6.000002 | 26.1.5.2.1 | 1.2.5.1.26 (47458321 + 2*83^3 + 5*83^2 + 83 + 26) | No | |
| -88550 | 6.012048 | -72.70.12 | -12.70.72 (-(12*83^2 + 70*83 + 72)) | No | |
| -552188 | 6.012048 | -72.12.80 | -80.12.72 (-(80*83^2 + 12*83 + 72)) | No | |
| 4129473625 | 7.000000 | 23.4.4.1.4.1 | 1.4.1.4.4.23 (3939040643 + 4*83^4 + 571787 + 4*83^2 + 4*83 + 23) | No | |
| 0 | 7.000000 | 0 | 0 (0) | No | |
| 213726 | 7.000000 | 1.2.31 | 31.2.1 (31*83^2 + 2*83 + 1) | No | |
| -4092879011 | 7.000000 | -26.1.4.20.3.1 | -1.3.20.4.1.26 (-(3939040643 + 3*83^4 + 20*83^3 + 4*83^2 + 83 + 26)) | No |
These are the training products that have the "4THOFJULY" tag (processing sequence 7126). 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 |
|---|---|---|---|---|---|---|---|
| 21093 | Arundel Mandible Carbon Fiber Water Bottle Cage | 4129473625 | none | 4125436562 | none | ||
| 24778 | Finish Line Grunge Brush | 48636449 | none | 44599386 | none | ||
| 20968 | Effetto Mariposa Carbogrip 3ml, One Single Use Blister Pack | 4037063 | none | 0 | none | ||
| 24803 | RideCX Wool Socks by Sock Guy | 213726 | none | -3823337 | none | ||
| 24718 | Feedback Sports Fixed 3-Way Hex Tool | 0 | TOOLS | -4037063 | none | ||
| 21203 | Finish Line Mechanic Grip Gloves | -88550 | GLOVES | -4125613 | none | ||
| 24717 | Feedback Sports Alpine Digital Scale | -552188 | TOOLS | -4589251 | none | ||
| 21124 | Michelin Power Cyclocross Mud Tubeless-Ready Tire | -4092879011 | TIRES, CYCLOCROSS TIRE | -4096916074 | none |