Fold 0 - Understanding why coefficient -4025525 was selected
Tag: NEW CLOTHING
Selected Coefficient: -4025525
Taxonomy Path: -1.1.13.8
Taxonomy Name:
Products with this tag: 7
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? |
|---|---|---|---|---|---|
| -4025525 | 4.000000 | -1.1.13.8 | -8.13.1.1 (-(8*79^3 + 13*79^2 + 79 + 1)) | Yes | |
| -3451273 | 4.000320 | -0.0.0.7 | -7.0.0.0 (-(7*79^3)) | No | |
| -2933270 | 4.000320 | -0.0.75.5 | -5.75.0.0 (-(5*79^3 + 75*79^2)) | No | |
| -1978397 | 4.000320 | -0.0.1.4 | -4.1.0.0 (-(4*79^3 + 6241)) | No | |
| 3532486 | 6.000000 | 1.1.13.7 | 7.13.1.1 (7*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Shirts | No |
These are the training products that have the "NEW CLOTHING" tag (processing sequence 3540). 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 |
|---|---|---|---|---|---|---|---|
| 18112 | Light Blue Plaid Long Sleeve | 3532486 | Apparel & Accessories > Clothing > Clothing Tops > Shirts | none | 7558011 | BLACKFRI2022 | |
| 18120 | Prima Ankle 14 years picturesque | -1978397 | SPRINGVIBE | 2047128 | Apparel & Accessories > Clothing > Pants > Jeans | BESTSELLERS | |
| 18110 | Pajama Party Robe Gold Combo | -2933270 | KIMONOS | 1092255 | Apparel & Accessories > Clothing > Sleepwear & Loungewear > Loungewear | BLACKFRI2022 | |
| 18108 | Savannah Button Down Shirt Ivory | -3451273 | SPRINGVIBE | 574252 | Apparel & Accessories > Clothing > Clothing Tops > Blouses | BLACKFRI2022 | |
| 18115 | Angel Tee Bunny | -4025525 | SPRINGVIBE, SHORT SLEEVES | 0 | none | ||
| 18116 | Angel Tee Black | -4025525 | SPRINGVIBE, SHORT SLEEVES | 0 | none | ||
| 18122 | Ziggy Stardust Bowie Golden Tee | -4025525 | WOMEN'S CLOTHING, SPRINGVIBE | 0 | none |