Fold 3 - Understanding why coefficient 4025525 was selected
Tag: T-SHIRT
Selected Coefficient: 4025525
Taxonomy Path: 1.1.13.8
Taxonomy Name: Apparel & Accessories > Clothing > Clothing Tops > T-Shirts
Products with this tag: 18
Unique residual values tried: 9
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 | 10.000320 | 1.1.13.8 | 8.13.1.1 (8*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | Yes |
| 1591535 | 10.001122 | 1.1.18.3 | 3.18.1.1 (3*79^3 + 18*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Socks > Crew Socks | No |
| 78892561 | 10.001122 | 1.1.1.2.2 | 2.2.1.1.1 (2*79^4 + 2*79^3 + 6241 + 79 + 1) | Apparel & Accessories > Clothing > Activewear > Activewear Tops > T-Shirts | No |
| 0 | 14.000000 | 0 | 0 (0) | No | |
| -4025521 | 16.000000 | -76.0.13.8 | -8.13.0.76 (-(8*79^3 + 13*79^2 + 76)) | No | |
| -15640266 | 17.000000 | -4.4.57.31 | -31.57.4.4 (-(31*79^3 + 57*79^2 + 4*79 + 4)) | No | |
| -1972881 | 17.000000 | -14.9.0.4 | -4.0.9.14 (-(4*79^3 + 9*79 + 14)) | No | |
| 2571289 | 17.000000 | 76.78.16.5 | 5.16.78.76 (5*79^3 + 16*79^2 + 78*79 + 76) | No | |
| -4025525 | 17.000000 | -1.1.13.8 | -8.13.1.1 (-(8*79^3 + 13*79^2 + 79 + 1)) | No |
These are the training products that have the "T-SHIRT" tag (processing sequence 2856). 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 |
|---|---|---|---|---|---|---|---|
| 8192 | Origin Active T-shirt | 78892561 | Apparel & Accessories > Clothing > Activewear > Activewear Tops > T-Shirts | none | 74867036 | none | |
| 320 | Good Trouble T-shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 341 | I Can't Breathe T-Shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 401 | Get In Trouble T-shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 5838 | Funny Pink Bear Fortnite T-Shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 8592 | No One Should Live In a Closet - Gay Pride Top | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 10475 | Your Opinion Will Never Cut Me A Check T-shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 5382 | Airbrush Born in the 80s Shirt Design | 2571289 | DESIGN, PINK, BRICKS, 90S, BABY | -1454236 | TEENS | ||
| 5497 | Airbrush Hot Girl Shirt Design | 1591535 | Apparel & Accessories > Clothing > Socks > Crew Socks | DESIGN, PINK, COLOR | -2433990 | TEENS | |
| 9488 | Airbrush Beyonce Renaissance Tour Shirt | 0 | DESIGN, PINK, BLUE, HEARTS | -4025525 | TEENS | ||
| 5500 | Airbrush Taurus Shirt Design | 0 | DESIGN, PINK, ORANGE, COLOR | -4025525 | TEENS | ||
| 340 | Hustle Hard Tee | 0 | TEE | -4025525 | none | ||
| 390 | Men's Team Parks t-shirt | 0 | TOP | -4025525 | none | ||
| 1898 | Women's We Can Do It Unicorn T-Shirt | -1972881 | BLUE, GRAY | -5998406 | none | ||
| 348 | Infant "Simply Dope" Tee | -4025521 | TEE | -8051046 | none | ||
| 347 | Infant "Alycia Mikay" Onesie | -4025521 | TEE | -8051046 | none | ||
| 321 | Good Vibes Only T-shirt | -4025525 | TOP, TEE | -8051050 | none | ||
| 9379 | Airbrush #LongLive Portrait With Butterflies Shirt Design | -15640266 | DESIGN, PINK, GREEN, ORANGE, BLUE | -19665791 | PORTRAIT, RAINBOW |