Fold 3 - Understanding why coefficient 4025525 was selected
Tag: SHORT SLEEVES
Selected Coefficient: 4025525
Taxonomy Path: 1.1.13.8
Taxonomy Name: Apparel & Accessories > Clothing > Clothing Tops > T-Shirts
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? |
|---|---|---|---|---|---|
| 4025525 | 4.000004 | 1.1.13.8 | 8.13.1.1 (8*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | Yes |
| 5997681 | 4.000004 | 1.1.13.12 | 12.13.1.1 (12*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | No |
| -1972156 | 6.000000 | -0.0.0.4 | -4.0.0.0 (-(4*79^3)) | No | |
| -4025525 | 6.000002 | -1.1.13.8 | -8.13.1.1 (-(8*79^3 + 13*79^2 + 79 + 1)) | No | |
| -574252 | 6.000002 | -1.1.13.1 | -1.13.1.1 (-(493039 + 13*79^2 + 79 + 1)) | No |
These are the training products that have the "SHORT SLEEVES" tag (processing sequence 3055). 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 |
|---|---|---|---|---|---|---|---|
| 1007 | Marie | 5997681 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | none | 1972156 | none | |
| 865 | Dafang | 5997681 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | none | 1972156 | none | |
| 5840 | Pink Bear Funny Fortnite T-Shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 976 | Jeanny Top | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 1024 | Motley: Army | -574252 | BLOUSES, FUN SUMMER COLORS | -4599777 | none | ||
| 18116 | Angel Tee Black | -1972156 | LONG SLEEVE | -5997681 | SPRINGVIBE | ||
| 18115 | Angel Tee Bunny | -1972156 | LONG SLEEVE | -5997681 | SPRINGVIBE | ||
| 1040 | Phoebe | -4025525 | SOFT SWEATERS, V-NECK | -8051050 | none |