Fold 0 - 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: 9
Unique residual values tried: 6
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 | 4.000164 | 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 | 4.000164 | 1.1.13.12 | 12.13.1.1 (12*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | No |
| -461754 | 4.000641 | -78.77.73 | -73.77.78 (-(73*79^2 + 77*79 + 78)) | No | |
| 0 | 7.000000 | 0 | 0 (0) | No | |
| -4025525 | 7.000002 | -1.1.13.8 | -8.13.1.1 (-(8*79^3 + 13*79^2 + 79 + 1)) | No | |
| -574252 | 7.000002 | -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 3471). 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 |
|---|---|---|---|---|---|---|---|
| 865 | Dafang | 5997681 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | none | 1972156 | none | |
| 1007 | Marie | 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 | |
| 18116 | Angel Tee Black | 0 | SPRINGVIBE | -4025525 | NEW CLOTHING | ||
| 18115 | Angel Tee Bunny | 0 | SPRINGVIBE | -4025525 | NEW CLOTHING | ||
| 967 | Ibiza SS Polo | -461754 | COTTON CITIZEN, ORGANIC COTTON | -4487279 | none | ||
| 1024 | Motley: Army | -574252 | FUN SUMMER COLORS, BLOUSES | -4599777 | none | ||
| 1040 | Phoebe | -4025525 | SOFT SWEATERS, V-NECK | -8051050 | none |