Fold 3 - Understanding why coefficient 4025525 was selected
Tag: TANK TOP
Selected Coefficient: 4025525
Taxonomy Path: 1.1.13.8
Taxonomy Name: Apparel & Accessories > Clothing > Clothing Tops > T-Shirts
Products with this tag: 12
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? |
|---|---|---|---|---|---|
| 4025525 | 8.000004 | 1.1.13.8 | 8.13.1.1 (8*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | Yes |
| 4518564 | 8.000004 | 1.1.13.9 | 9.13.1.1 (9*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Tank Tops | No |
| 493039 | 8.000162 | 0.0.0.1 | 1.0.0.0 (493039) | No | |
| 3944312 | 8.000164 | 0.0.0.8 | 8.0.0.0 (8*79^3) | No | |
| -3457514 | 8.000481 | -0.0.1.7 | -7.1.0.0 (-(7*79^3 + 6241)) | No | |
| -7483039 | 9.000000 | -1.1.14.15 | -15.14.1.1 (-(15*79^3 + 14*79^2 + 79 + 1)) | No | |
| -9074574 | 11.000000 | -2.2.32.18 | -18.32.2.2 (-(18*79^3 + 32*79^2 + 2*79 + 2)) | No |
These are the training products that have the "TANK TOP" tag (processing sequence 153). 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 |
|---|---|---|---|---|---|---|---|
| 5329 | Airbrush 2000s Baby Crop Top | 4518564 | Apparel & Accessories > Clothing > Clothing Tops > Tank Tops | none | 493039 | HEARTS, 2000S | |
| 10644 | Psyche & Eros - Women's Tank Top | 4518564 | Apparel & Accessories > Clothing > Clothing Tops > Tank Tops | none | 493039 | none | |
| 435 | Sequined Graphic T-shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 314 | Casual Short Sleeve V-neck T Shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 13583 | Women's Crop Tank Top | 3944312 | CROP TOP | -81213 | ACCESSORY | ||
| 5228 | Airbrush Hearts Crop Top Design | 493039 | PINK | -3532486 | HEARTS, 2000S | ||
| 5249 | Airbrush Freaknik Dallas Crop Top | 493039 | PINK | -3532486 | 2000S | ||
| 5093 | Airbrush 1997 Green Hearts Crop Top And Jogger Set | -3457514 | JOGGERS | -7483039 | 2000S | ||
| 9478 | Airbrush Crop Top And Jogger Set | -7483039 | PINK, JOGGERS | -11508564 | 2000S | ||
| 9489 | Airbrush Crop Top And Jogger Set With Name | -7483039 | PINK, JOGGERS | -11508564 | 2000S | ||
| 5081 | Airbrush 1995 Crop Top And Jogger Set | -7483039 | PINK, JOGGERS | -11508564 | 2000S | ||
| 5159 | Airbrush Bubble Font Crop Top And Jogger Set | -9074574 | PINK, JOGGERS, ORANGE | -13100099 | BLUE, BRICKS, 2000S |