Fold 0 - Understanding why coefficient -8094659 was selected
Tag: THREAD ONLY
Selected Coefficient: -8094659
Taxonomy Path: -1.1.13.14
Taxonomy Name:
Products with this tag: 13
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? |
|---|---|---|---|---|---|
| -8094659 | 6.000000 | -1.1.13.14 | -14.13.1.1 (-(14*83^3 + 13*83^2 + 83 + 1)) | Yes | |
| -16189318 | 8.000000 | -2.2.26.28 | -28.26.2.2 (-(28*83^3 + 26*83^2 + 2*83 + 2)) | No | |
| -332862698 | 12.000000 | -79.82.11.1.7 | -7.1.11.82.79 (-(7*83^4 + 571787 + 11*83^2 + 82*83 + 79)) | No |
These are the training products that have the "THREAD ONLY" tag (processing sequence 5190). 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 |
|---|---|---|---|---|---|---|---|
| 31772 | Embroidered Mama w/ Heart Collar Crewneck Sweatshirt | -8094659 | BLOCK FONT, SWEATSHIRT | 0 | none | ||
| 31773 | Embroidered Wifey Crewneck Sweatshirt | -8094659 | BLOCK FONT, SWEATSHIRT | 0 | none | ||
| 31774 | Embroidered Teach Crewneck Sweatshirt | -8094659 | BLOCK FONT, SWEATSHIRT | 0 | none | ||
| 31775 | Embroidered Nurse Crewneck Sweatshirt | -8094659 | BLOCK FONT, SWEATSHIRT | 0 | none | ||
| 31777 | Embroidered Mama Crewneck Sweatshirt | -8094659 | BLOCK FONT, SWEATSHIRT | 0 | none | ||
| 31765 | Embroidered Mama w/Heart Collar Comfort Colors T-Shirt | -8094659 | 17176014, CREWNECK | 0 | none | ||
| 31778 | Embroidered Dog Mom Crewneck Sweatshirt | -8094659 | BLOCK FONT, SWEATSHIRT | 0 | none | ||
| 31771 | Embroidered Dog Mom Comfort Colors T-Shirt | -16189318 | 17176014, CREWNECK, BLOCK FONT | -8094659 | none | ||
| 31766 | Embroidered Teach Comfort Colors T-Shirt | -16189318 | 17176014, CREWNECK, BLOCK FONT | -8094659 | none | ||
| 31767 | Embroidered Nurse Comfort Colors T-Shirt | -16189318 | 17176014, CREWNECK, BLOCK FONT | -8094659 | none | ||
| 31768 | Embroidered Mama Comfort Colors T-Shirt | -16189318 | 17176014, CREWNECK, BLOCK FONT | -8094659 | none | ||
| 31770 | Embroidered Bride Comfort Colors T-Shirt | -16189318 | 17176014, CREWNECK, BLOCK FONT | -8094659 | none | ||
| 31759 | Embroidered Mini Toddler Crewneck Sweatshirt | -332862698 | TODDLER | -324768039 | none |