Fold 0 - Understanding why coefficient 4025525 was selected
Tag: LONG SLEEVE
Selected Coefficient: 4025525
Taxonomy Path: 1.1.13.8
Taxonomy Name: Apparel & Accessories > Clothing > Clothing Tops > T-Shirts
Products with this tag: 6
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 | 2.012818 | 1.1.13.8 | 8.13.1.1 (8*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | Yes |
| 25044 | 2.012979 | 1.1.4 | 4.1.1 (4*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Dresses | No |
| 11964156 | 2.037975 | 1.2.21.24 | 24.21.2.1 (24*79^3 + 21*79^2 + 2*79 + 1) | No | |
| -542792976 | 5.000000 | -13.9.72.73.13 | -13.73.72.9.13 (-(13*79^4 + 73*79^3 + 72*79^2 + 9*79 + 13)) | No | |
| 11364861 | 5.000000 | 0.0.4.23 | 23.4.0.0 (23*79^3 + 4*79^2) | No |
These are the training products that have the "LONG SLEEVE" tag (processing sequence 1938). 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 |
|---|---|---|---|---|---|---|---|
| 824 | Astoria | 11964156 | CASUAL, CLASSIC, FASHION, ATTIRE, BEST SELLER, COMFY, EASY, FLATTERING | 7938631 | none | ||
| 920 | Felize | 11364861 | CASUAL, CLASSIC, FASHION, ATTIRE, COMFY, EASY, FLATTERING | 7339336 | STYLE, SWEATERS | ||
| 11920 | Knot At Work Ski Club Long Sleeve T-Shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | SHIRTS | |
| 11988 | Knot Classic Long Sleeve T-Shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | SHIRTS | |
| 9403 | LENA - MODEST | 25044 | Apparel & Accessories > Clothing > Dresses | none | -4000481 | __TAB1:FAQ | |
| 857 | Clarkson | -542792976 | CASUAL, CLASSIC, BEST SELLER, DATE NIGHT, EASY | -546818501 | STYLE, SWEATERS |