Fold 3 - Understanding why coefficient 5997681 was selected
Tag: LONG SLEEVE
Selected Coefficient: 5997681
Taxonomy Path: 1.1.13.12
Taxonomy Name: Apparel & Accessories > Clothing > Clothing Tops > Sweaters
Products with this tag: 8
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? |
|---|---|---|---|---|---|
| 5997681 | 3.000006 | 1.1.13.12 | 12.13.1.1 (12*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | Yes |
| 4025525 | 3.000006 | 1.1.13.8 | 8.13.1.1 (8*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | No |
| 1560330 | 3.000008 | 1.1.13.3 | 3.13.1.1 (3*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Cardigans | No |
| 0 | 6.000000 | 0 | 0 (0) | No | |
| -25044 | 7.000000 | -1.1.4 | -4.1.1 (-(4*79^2 + 79 + 1)) | No |
These are the training products that have the "LONG SLEEVE" tag (processing sequence 3043). 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 |
|---|---|---|---|---|---|---|---|
| 857 | Clarkson | 5997681 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | none | 0 | TOPS, COMFORT, CLASSIC | |
| 920 | Felize | 5997681 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | none | 0 | TOPS, COMFORT, CLASSIC | |
| 18116 | Angel Tee Black | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | -1972156 | SHORT SLEEVES, SPRINGVIBE | |
| 18115 | Angel Tee Bunny | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | -1972156 | SHORT SLEEVES, SPRINGVIBE | |
| 1025 | Naya | 1560330 | Apparel & Accessories > Clothing > Clothing Tops > Cardigans | none | -4437351 | TOPS, COMFORT, CLASSIC | |
| 11920 | Knot At Work Ski Club Long Sleeve T-Shirt | 0 | SHIRTS | -5997681 | none | ||
| 11988 | Knot Classic Long Sleeve T-Shirt | 0 | SHIRTS | -5997681 | none | ||
| 9403 | LENA - MODEST | -25044 | BEAD, __TAB1:FAQ | -6022725 | LACE |