Fold 1 - Understanding why coefficient 4025525 was selected
Tag: SPECIAL
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 | 2.037979 | 1.1.13.8 | 8.13.1.1 (8*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | Yes |
| 3532486 | 2.037981 | 1.1.13.7 | 7.13.1.1 (7*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Shirts | No |
| 6490720 | 2.037981 | 1.1.13.13 | 13.13.1.1 (13*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Hoodies | No |
| 25439 | 2.050633 | 1.6.4 | 4.6.1 (4*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Brooches & Lapel Pins | No |
| 178 | 8.000000 | 20.2 | 2.20 (2*79 + 20) | Religious & Ceremonial > Religious Items | No |
| 8887424 | 8.000000 | 3.3.2.18 | 18.2.3.3 (18*79^3 + 2*79^2 + 3*79 + 3) | Arts & Entertainment > Party & Celebration > Party Supplies > Party Favors | No |
These are the training products that have the "SPECIAL" tag (processing sequence 3905). 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 |
|---|---|---|---|---|---|---|---|
| 19310 | Pretty Lights NYE Pin (Vintage 2010) | 8887424 | Arts & Entertainment > Party & Celebration > Party Supplies > Party Favors | none | 4861899 | none | |
| 10575 | Grateful Totem Hoodie (Large, Vintage) | 6490720 | Apparel & Accessories > Clothing > Clothing Tops > Hoodies | none | 2465195 | none | |
| 14363 | Grateful Totem Shirt (Small, Tie Dye Vintage 2015) | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 17945 | Grateful Totem (Size 2XL, Tie Dye) | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 18750 | L25 Shirt (Teal, Women’s Medium, Vintage 2012) | 3532486 | Apparel & Accessories > Clothing > Clothing Tops > Shirts | none | -493039 | none | |
| 18119 | Groovy pin | 25439 | Apparel & Accessories > Jewelry > Brooches & Lapel Pins | none | -4000086 | none | |
| 13622 | Grateful Totem Pin (Antique Silver, Vintage 2013) | 25439 | Apparel & Accessories > Jewelry > Brooches & Lapel Pins | none | -4000086 | none | |
| 11681 | Grateful Totem Pin (Antique Gold, Vintage 2013) | 25439 | Apparel & Accessories > Jewelry > Brooches & Lapel Pins | none | -4000086 | none | |
| 19076 | Lotus Buddha Pin (Vintage 2014) | 178 | Religious & Ceremonial > Religious Items | none | -4025347 | none |