Fold 1 - Understanding why coefficient -1431644 was selected
Tag: GEORGE RUSSELL
Selected Coefficient: -1431644
Taxonomy Path: -0.0.0.4
Taxonomy Name:
Products with this tag: 10
Unique residual values tried: 10
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? |
|---|---|---|---|---|---|
| 0 | 5.028370 | 0 | 0 (0) | No | |
| -1431644 | 5.028370 | -0.0.0.4 | -4.0.0.0 (-(4*71^3)) | Yes | |
| 404424307 | 5.028566 | 0.0.68.64.15 | 15.64.68.0.0 (15*71^4 + 64*71^3 + 68*71^2) | No | |
| -2485142 | 5.042256 | -0.70.66.6 | -6.66.70.0 (-(6*71^3 + 66*71^2 + 70*71)) | No | |
| 736057 | 5.042256 | 0.1.4.2 | 2.4.1.0 (2*71^3 + 4*71^2 + 71) | No | |
| -3644715 | 8.000003 | -1.1.13.10 | -10.13.1.1 (-(10*71^3 + 13*71^2 + 71 + 1)) | No | |
| -2928893 | 8.000003 | -1.1.13.8 | -8.13.1.1 (-(8*71^3 + 13*71^2 + 71 + 1)) | No | |
| -146 | 9.000000 | -4.2 | -2.4 (-(2*71 + 4)) | No | |
| -9774572 | 9.000000 | -2.1.22.27 | -27.22.1.2 (-(27*71^3 + 22*71^2 + 71 + 2)) | No | |
| 2928893 | 9.000000 | 1.1.13.8 | 8.13.1.1 (8*71^3 + 13*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | No |
These are the training products that have the "GEORGE RUSSELL" tag (processing sequence 172). 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 |
|---|---|---|---|---|---|---|---|
| 6670 | Mercedes AMG Petronas F1 2023 Men's Team Softshell Jacket | 404424307 | BLACK, MEN, LEWIS HAMILTON | 405855951 | none | ||
| 6672 | Mercedes AMG Petronas F1 2023 Men's Set Up Driver T-Shirt - Volt Green | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | MEN, LEWIS HAMILTON | 4360537 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | none |
| 8759 | Mercedes AMG Petronas F1 George Russell Trucker Hat | 736057 | BLUE | 2167701 | WOMEN, ACCESSORIES, ADULT | ||
| 6671 | Mercedes AMG Petronas F1 2023 Women's Driver T-Shirt - Black/White | 0 | BLACK, WHITE, LEWIS HAMILTON | 1431644 | WOMEN, MD | ||
| 6764 | Mercedes AMG Petronas F1 2023 Kids Driver T-Shirt - Black/White | -146 | BLACK, WHITE, LEWIS HAMILTON, KIDS | 1431498 | none | ||
| 6673 | Mercedes AMG Petronas F1 George Russell Sports T-Shirt | -1431644 | BLUE | 0 | WOMEN, ADULT | ||
| 6719 | Mercedes AMG Petronas F1 2023 Team Baseball Hat- Black/White/Green | -2485142 | BLACK, WHITE, LEWIS HAMILTON | -1053498 | WOMEN, ADULT | ||
| 6717 | Mercedes AMG Petronas F1 2023 Men's Driver T-Shirt - Black/White | -2928893 | BLACK, WHITE, MEN, LEWIS HAMILTON | -1497249 | none | ||
| 6681 | Mercedes AMG Petronas F1 2023 Men's Team Polo - Black/White | -3644715 | BLACK, WHITE, MEN, LEWIS HAMILTON | -2213071 | none | ||
| 8767 | Mercedes AMG Petronas F1 2023 George Russell Dad Baseball Hat | -9774572 | BLACK, BLUE, WHITE | -8342928 | WOMEN, ACCESSORIES, ADULT |