Fold 0 - Understanding why coefficient 4406146 was selected
Tag: NEON GREEN
Selected Coefficient: 4406146
Taxonomy Path: 0.0.74.8
Taxonomy Name:
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? |
|---|---|---|---|---|---|
| 4406146 | 3.012658 | 0.0.74.8 | 8.74.0.0 (8*79^3 + 74*79^2) | Yes | |
| 5947278 | 3.012658 | 0.74.4.12 | 12.4.74.0 (12*79^3 + 4*79^2 + 74*79) | No | |
| -5997681 | 4.000000 | -1.1.13.12 | -12.13.1.1 (-(12*79^3 + 13*79^2 + 79 + 1)) | No | |
| -100806 | 4.000000 | -2.12.16 | -16.12.2 (-(16*79^2 + 12*79 + 2)) | No | |
| 5997681 | 4.000000 | 1.1.13.12 | 12.13.1.1 (12*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | No |
These are the training products that have the "NEON GREEN" tag (processing sequence 2151). 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 |
|---|---|---|---|---|---|---|---|
| 5093 | Airbrush 1997 Green Hearts Crop Top And Jogger Set | 5997681 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | JOGGERS, TANK TOP, 2000S | 1591535 | Apparel & Accessories > Clothing > Socks > Crew Socks | none |
| 5395 | Airbrush 90's Green Boombox Shirt Design | 5947278 | DESIGN, NECKLACE, BRICKS | 1541132 | none | ||
| 5342 | Airbrush ZOA Shirt Design | 4406146 | DESIGN, ORANGE, COLORFUL | 0 | T-SHIRT, TEENS | ||
| 5450 | Airbrush 90's Neon Boombox Shirt Design | -100806 | DESIGN, GOLD, NECKLACE, PINK, BRICKS | -4506952 | none | ||
| 5428 | Airbrush Millennium Tour Design | -5997681 | DESIGN, PINK, 2021, 90S | -10403827 | none |