Fold 1 - Understanding why coefficient 7476798 was selected
Tag: ATHLEISURE
Selected Coefficient: 7476798
Taxonomy Path: 1.1.13.15
Taxonomy Name:
Products with this tag: 8
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? |
|---|---|---|---|---|---|
| 7476798 | 4.000160 | 1.1.13.15 | 15.13.1.1 (15*79^3 + 13*79^2 + 79 + 1) | Yes | |
| 2964555 | 4.000481 | 1.1.1.6 | 6.1.1.1 (6*79^3 + 6241 + 79 + 1) | Apparel & Accessories > Clothing > Activewear > Sports Bras | No |
| 3451273 | 5.012818 | 0.0.0.7 | 7.0.0.0 (7*79^3) | No | |
| 75459931 | 5.012818 | 0.0.4.74.1 | 1.74.4.0.0 (38950081 + 74*79^3 + 4*79^2) | No | |
| 9379828 | 5.025316 | 0.74.1.19 | 19.1.74.0 (19*79^3 + 6241 + 74*79) | No | |
| -8412948 | 7.000000 | -1.1.5.17 | -17.5.1.1 (-(17*79^3 + 5*79^2 + 79 + 1)) | No |
These are the training products that have the "ATHLEISURE" tag (processing sequence 483). 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 |
|---|---|---|---|---|---|---|---|
| 5886 | Vintage Black Oversized Sweatshirt | 75459931 | SWEATSHIRT, ACTIVEWEAR | 67983133 | GRAPHIC PRINT, OUTERWEAR | ||
| 6745 | Luxury Heavyweight Tee, Black | 9379828 | DESIGN, ROUND, ACTIVEWEAR | 1903030 | COTTON | ||
| 6847 | Luxury Heavyweight Tee, Heather Grey | 7476798 | ACTIVEWEAR | 0 | none | ||
| 6833 | Luxury Heavyweight Tee, White | 7476798 | ACTIVEWEAR | 0 | none | ||
| 6841 | Luxury Heavyweight Tee, Baby Blue | 7476798 | ACTIVEWEAR | 0 | none | ||
| 6836 | Cream Oversized Sweatshirt | 3451273 | SWEATSHIRT, ACTIVEWEAR | -4025525 | GRAPHIC PRINT | ||
| 1479 | Black Gumball Star Bra | 2964555 | Apparel & Accessories > Clothing > Activewear > Sports Bras | none | -4512243 | ATHLETIC, GAZZY BY GAZZO, SPORTS BRA | |
| 1478 | Black Gumball Board Shorts | -8412948 | PANTS, APPAREL | -15889746 | ATHLETIC, BOTTOMS, GAZZY BY GAZZO, SWIM |