Fold 3 - Understanding why coefficient 6345208 was selected
Tag: XXL
Selected Coefficient: 6345208
Taxonomy Path: 24.5.8.11
Taxonomy Name:
Products with this tag: 8
Unique residual values tried: 7
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? |
|---|---|---|---|---|---|
| 6345208 | 5.000145 | 24.5.8.11 | 11.8.5.24 (11*83^3 + 8*83^2 + 5*83 + 24) | Yes | |
| 110663 | 5.000290 | 24.5.16 | 16.5.24 (16*83^2 + 5*83 + 24) | No | |
| 0 | 6.000145 | 0 | 0 (0) | No | |
| -855372685 | 6.000145 | -0.0.80.1.18 | -18.1.80.0.0 (-(18*83^4 + 571787 + 80*83^2)) | No | |
| 99008792 | 6.000145 | 1.1.13.7.2 | 2.7.13.1.1 (2*83^4 + 7*83^3 + 13*83^2 + 83 + 1) | No | |
| 428337437 | 6.000145 | 1.1.10.2.9 | 9.2.10.1.1 (9*83^4 + 2*83^3 + 10*83^2 + 83 + 1) | No | |
| -2246169 | 7.000000 | -23.4.77.3 | -3.77.4.23 (-(3*83^3 + 77*83^2 + 4*83 + 23)) | No |
These are the training products that have the "XXL" tag (processing sequence 6679). 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 |
|---|---|---|---|---|---|---|---|
| 33702 | Olive Ventile Organic Cotton Down Jacket | 428337437 | none | 421992229 | AW21 | ||
| 33735 | Blue Yarn-Dyed Cotton Long Sleeved Cuban Shirt | 99008792 | none | 92663584 | AW21 | ||
| 27211 | Ma peluche Tigre géant | 6345208 | none | 0 | none | ||
| 27217 | Ma peluche Panthère géante et son bébé | 6345208 | none | 0 | none | ||
| 27210 | Mon ours en peluche géant | 110663 | none | -6234545 | none | ||
| 29461 | Potatoes Strappy Side Shorts | 0 | SHORTS | -6345208 | none | ||
| 27093 | Essential Garment Dye Knit T-shirt - Army Green | Regular Fit | -2246169 | 50-75 | -8591377 | MAN | ||
| 33725 | Navy Herringbone Linen Nehru Waistcoat | -855372685 | FABRIC_LINEN | -861717893 | CF-SIZE-L |