Fold 0 - 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: 26
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 | 12.000481 | 1.1.13.8 | 8.13.1.1 (8*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | Yes |
| 78892561 | 12.001923 | 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 |
| 1591535 | 12.002083 | 1.1.18.3 | 3.18.1.1 (3*79^3 + 18*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Socks > Crew Socks | No |
| 0 | 20.000000 | 0 | 0 (0) | No | |
| -4025525 | 24.000000 | -1.1.13.8 | -8.13.1.1 (-(8*79^3 + 13*79^2 + 79 + 1)) | No | |
| 599291 | 25.000000 | 76.1.17.1 | 1.17.1.76 (493039 + 17*79^2 + 79 + 76) | No | |
| 4024800 | 25.000000 | 66.70.12.8 | 8.12.70.66 (8*79^3 + 12*79^2 + 70*79 + 66) | No | |
| 7589216 | 25.000000 | 2.2.31.15 | 15.31.2.2 (15*79^3 + 31*79^2 + 2*79 + 2) | No | |
| -4025521 | 25.000000 | -76.0.13.8 | -8.13.0.76 (-(8*79^3 + 13*79^2 + 76)) | 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 |
|---|---|---|---|---|---|---|---|
| 291 | Athletic DNA Football Tee | 78892561 | Apparel & Accessories > Clothing > Activewear > Activewear Tops > T-Shirts | none | 74867036 | none | |
| 8192 | Origin Active T-shirt | 78892561 | Apparel & Accessories > Clothing > Activewear > Activewear Tops > T-Shirts | none | 74867036 | none | |
| 5501 | Airbrush Est. 1998 Shirt Design | 7589216 | DESIGN, ORANGE, SPLATTER, COLOR | 3563691 | Apparel & Accessories > Clothing > Socks > Hold Up Socks | TEENS | |
| 14059 | Graffiti Porsche T-Shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 309 | Fancy Good Trouble T-shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 320 | Good 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 | |
| 11018 | Unity Pride | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 11019 | Unity Pride | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 11033 | I-5 Canoe | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 11043 | Fresh Start | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 11044 | Fresh Start | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 1898 | Women's We Can Do It Unicorn T-Shirt | 4024800 | GRAY | -725 | none | ||
| 5497 | Airbrush Hot Girl Shirt Design | 1591535 | Apparel & Accessories > Clothing > Socks > Crew Socks | DESIGN, PINK, COLOR | -2433990 | TEENS | |
| 5382 | Airbrush Born in the 80s Shirt Design | 599291 | DESIGN, PINK, BRICKS, 90S, BABY | -3426234 | TEENS | ||
| 384 | Men's Cotton Crew Tee | 0 | TEE | -4025525 | none | ||
| 5342 | Airbrush ZOA Shirt Design | 0 | DESIGN, ORANGE, COLORFUL, NEON GREEN | -4025525 | TEENS | ||
| 340 | Hustle Hard Tee | 0 | TEE | -4025525 | none | ||
| 45 | Patriotic ‘AMERICA’ Women's Racerback Tank | 0 | TANK TOP | -4025525 | none | ||
| 9488 | Airbrush Beyonce Renaissance Tour Shirt | 0 | DESIGN, PINK, COLORFUL | -4025525 | TEENS | ||
| 5500 | Airbrush Taurus Shirt Design | 0 | DESIGN, PINK, ORANGE, COLOR | -4025525 | TEENS | ||
| 347 | Infant "Alycia Mikay" Onesie | -4025521 | TEE | -8051046 | none | ||
| 321 | Good Vibes Only T-shirt | -4025525 | TOP, TEE | -8051050 | none | ||
| 10166 | Fair Flies Shield Short-Sleeve Tee | -4025525 | TEE, CLOTHING | -8051050 | none |