Fold 1 - Understanding why coefficient -128561191 was selected
Tag: BIRTHDAY
Selected Coefficient: -128561191
Taxonomy Path: -0.8.14.4.5
Taxonomy Name:
Products with this tag: 5
Unique residual values tried: 5
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? |
|---|---|---|---|---|---|
| -128561191 | 3.014085 | -0.8.14.4.5 | -5.4.14.8.0 (-(5*71^4 + 4*71^3 + 14*71^2 + 8*71)) | Yes | |
| -25406355 | 3.014085 | -70.66.69.70 | -70.69.66.70 (-(70*71^3 + 69*71^2 + 66*71 + 70)) | No | |
| 0 | 3.014085 | 0 | 0 (0) | No | |
| 2928893 | 3.014085 | 1.1.13.8 | 8.13.1.1 (8*71^3 + 13*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | No |
| 30658 | 4.000000 | 57.5.6 | 6.5.57 (6*71^2 + 5*71 + 57) | No |
These are the training products that have the "BIRTHDAY" tag (processing sequence 1431). 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 |
|---|---|---|---|---|---|---|---|
| 5412 | Airbrush Birthday B*tch With Butterflies Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 131490084 | none | |
| 2230 | Angel Wing Ear Climbers | 30658 | GOLD | 128591849 | none | ||
| 2732 | Box of 36 Luxury Belgian Chocolates | 0 | GIFT BOX | 128561191 | none | ||
| 6186 | Zeta Phi Beta Key Chain Tag | -25406355 | CELEBRATE, HERS, SMALL | 103154836 | HANDMADE | ||
| 6175 | Zeta Phi Beta 10" Ceramic White Vase | -128561191 | CELEBRATE | 0 | none |