Fold 3 - Understanding why coefficient 20236 was selected
Tag: BRIGHT
Selected Coefficient: 20236
Taxonomy Path: 1.1.4
Taxonomy Name: Apparel & Accessories > Clothing > Dresses
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| 20236 | 2.014283 | 1.1.4 | 4.1.1 (4*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Dresses | Yes |
| 4360537 | 2.014283 | 1.1.13.12 | 12.13.1.1 (12*71^3 + 13*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | No |
| 45796 | 2.028169 | 1.6.9 | 9.6.1 (9*71^2 + 6*71 + 1) | Apparel & Accessories > Jewelry > Rings | No |
| -3221199 | 4.000000 | -0.0.0.9 | -9.0.0.0 (-(9*71^3)) | No | |
| 131293 | 4.000000 | 14.3.26 | 26.3.14 (26*71^2 + 3*71 + 14) | Home & Garden > Decor > Door Mats | No |
These are the training products that have the "BRIGHT" tag (processing sequence 792). 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 |
|---|---|---|---|---|---|---|---|
| 10305 | Basic V Neck Sweater - Coral | 4360537 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | none | 4340301 | SWEATERS | |
| 8929 | Hello Arch Doormat | 131293 | Home & Garden > Decor > Door Mats | none | 111057 | none | |
| 285 | Stack Ring ~ Combo 3 | 45796 | Apparel & Accessories > Jewelry > Rings | none | 25560 | none | |
| 903 | Dottie | 20236 | Apparel & Accessories > Clothing > Dresses | none | 0 | none | |
| 1021 | Moss Stripe Cardi | -3221199 | SWEATER | -3241435 | COLORFUL |