Fold 3 - Understanding why coefficient 4025525 was selected
Tag: SHORT SLEEVE
Selected Coefficient: 4025525
Taxonomy Path: 1.1.13.8
Taxonomy Name: Apparel & Accessories > Clothing > Clothing Tops > T-Shirts
Products with this tag: 12
Unique residual values tried: 2
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 | 0.000320 | 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 | 0.001602 | 1.1.4 | 4.1.1 (4*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Dresses | No |
These are the training products that have the "SHORT SLEEVE" tag (processing sequence 1744). 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 |
|---|---|---|---|---|---|---|---|
| 11989 | The Golf Swing Pocket T-Shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | SHIRTS | |
| 262 | Baby Tee, MEDIUM Jersey | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | V-NECK | |
| 280 | BF Tee, LIGHT Jersey | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | FABRIC | |
| 11987 | Knot Classic Pocket T-Shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | SHIRTS | |
| 261 | Baby Tee, LIGHT Jersey | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | CORE | |
| 5147 | Coffee and Cuss Words T-Shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 5150 | Coffee and Cuss Words Tie Dye T-Shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 11909 | You Can Dance, Trust Me Pocket T-Shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | SHIRTS | |
| 11974 | Man's Best Friends Pocket T-Shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | SHIRTS | |
| 11975 | Return to the South Pocket T-Shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | SHIRTS | |
| 282 | EZ Dress, MEDIUM Jersey | 25044 | Apparel & Accessories > Clothing > Dresses | none | -4000481 | FABRIC, LINGERIE | |
| 283 | EZ Dress, SHEER Jersey | 25044 | Apparel & Accessories > Clothing > Dresses | none | -4000481 | SLEEPWEAR, FABRIC, LINGERIE |