Fold 0 - Understanding why coefficient 70646 was selected
Tag: SHORTS
Selected Coefficient: 70646
Taxonomy Path: 1.1.14
Taxonomy Name: Apparel & Accessories > Clothing > Shorts
Products with this tag: 14
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? |
|---|---|---|---|---|---|
| 1502290 | 0.000224 | 1.1.14.4 | 4.14.1.1 (4*71^3 + 14*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Shorts > Short Trousers | No |
| 70646 | 0.000224 | 1.1.14 | 14.1.1 (14*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Shorts | Yes |
| 2933934 | 0.000229 | 1.1.14.8 | 8.14.1.1 (8*71^3 + 14*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Shorts > Legging Shorts | No |
| 1144379 | 0.000232 | 1.1.14.3 | 3.14.1.1 (3*71^3 + 14*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Shorts > Chino Shorts | No |
| 1860201 | 0.000232 | 1.1.14.5 | 5.14.1.1 (5*71^3 + 14*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Shorts > Denim Shorts | No |
| 2576023 | 0.000232 | 1.1.14.7 | 7.14.1.1 (7*71^3 + 14*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Shorts > Jogger Shorts | No |
| 45441 | 0.002579 | 1.1.9 | 9.1.1 (9*71^2 + 71 + 1) | Apparel & Accessories > Clothing > One-Pieces | No |
These are the training products that have the "SHORTS" tag (processing sequence 39). 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 |
|---|---|---|---|---|---|---|---|
| 7024 | Rise Shorts | 2933934 | Apparel & Accessories > Clothing > Shorts > Legging Shorts | none | 2863288 | none | |
| 7034 | Flow Seamless Biker Shorts | 2933934 | Apparel & Accessories > Clothing > Shorts > Legging Shorts | none | 2863288 | none | |
| 9970 | CASUAL LOUNGE SHORTS | 2576023 | Apparel & Accessories > Clothing > Shorts > Jogger Shorts | none | 2505377 | none | |
| 9696 | Caroline Frayed Hem Bermuda Denim Shorts | 1860201 | Apparel & Accessories > Clothing > Shorts > Denim Shorts | none | 1789555 | 2023LAUNCH, BOTTOMS | |
| 8783 | Bonsai Spray Dyed Basketball Shorts - Light Green | 1502290 | Apparel & Accessories > Clothing > Shorts > Short Trousers | none | 1431644 | GREEN, CLOTHING-SIZE-XS | |
| 5047 | JROTC Performance Shorts | 1502290 | Apparel & Accessories > Clothing > Shorts > Short Trousers | none | 1431644 | 132 | |
| 839 | Boxer | 1502290 | Apparel & Accessories > Clothing > Shorts > Short Trousers | none | 1431644 | FRAILS | |
| 5037 | 42nd Infantry Performance Shorts | 1502290 | Apparel & Accessories > Clothing > Shorts > Short Trousers | none | 1431644 | 132 | |
| 9380 | Courtney Black Cuffed Shorts | 1144379 | Apparel & Accessories > Clothing > Shorts > Chino Shorts | none | 1073733 | 2023LAUNCH, BOTTOMS | |
| 936 | Get Your Flirt On Short | 70646 | Apparel & Accessories > Clothing > Shorts | none | 0 | none | |
| 5046 | EFMB Performance Shorts | 70646 | Apparel & Accessories > Clothing > Shorts | none | 0 | none | |
| 5036 | 35th Infantry Performance Shorts | 70646 | Apparel & Accessories > Clothing > Shorts | none | 0 | 132 | |
| 9917 | MAR-092 | Kickboxing & Thai Boxing Shorts (G) | 70646 | Apparel & Accessories > Clothing > Shorts | none | 0 | none | |
| 965 | Hot Shot Onesie Printed | 45441 | Apparel & Accessories > Clothing > One-Pieces | none | -25205 | FREE PEOPLEWE THE FREE |