Fold 1 - Understanding why coefficient 4025525 was selected
Tag: LETTERS
Selected Coefficient: 4025525
Taxonomy Path: 1.1.13.8
Taxonomy Name: Apparel & Accessories > Clothing > Clothing Tops > T-Shirts
Products with this tag: 29
Unique residual values tried: 1
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 | 0.000000 | 1.1.13.8 | 8.13.1.1 (8*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | Yes |
These are the training products that have the "LETTERS" tag (processing sequence 21). 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 |
|---|---|---|---|---|---|---|---|
| 5342 | Airbrush ZOA Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | T-SHIRT, VIRAL | |
| 5382 | Airbrush Born in the 80s Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | 90S, T-SHIRT, VIRAL, BABY | |
| 5394 | Airbrush Bomb Zodiac Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 5395 | Airbrush 90's Green Boombox Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | NECKLACE | |
| 5437 | Airbrush Scorpio Szn Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 5450 | Airbrush 90's Neon Boombox Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | NECKLACE | |
| 5466 | Airbrush King Flames Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 5467 | Airbrush Bad AF Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 5497 | Airbrush Hot Girl Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | T-SHIRT, VIRAL | |
| 5500 | Airbrush Taurus Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | T-SHIRT, VIRAL | |
| 5501 | Airbrush Est. 1998 Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | T-SHIRT, VIRAL | |
| 5510 | Airbrush Pet Portrait With Rainbow Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 5511 | Airbrush Pet Splatter Portrait Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 5512 | Airbrush Pet Portrait With Green Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 5513 | Airbrush Pet Portrait With Blue Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 5521 | Airbrush Pet Portrait With Purple Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 5522 | Airbrush Pet Portrait Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 5534 | Airbrush Pet Portrait Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 9358 | Airbrush Pet Portrait Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 9360 | Airbrush Green Pet Portrait Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 9361 | Airbrush Pet Portrait Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 9362 | Airbrush Dog Portrait w/ Name Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 9364 | Airbrush Pet Portrait with Purple Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 9365 | Airbrush Memorial Pet Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 9375 | Airbrush Pet w/ Wings And Clouds Memorial Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 9376 | Airbrush Memorial Pet Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 9377 | Airbrush In Loving Memory Pet Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 9378 | Airbrush Pet w/ Wings Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 9488 | Airbrush Beyonce Renaissance Tour Shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | T-SHIRT, VIRAL |