Fold 3 - Understanding why coefficient -4025525 was selected
Tag: 90'S
Selected Coefficient: -4025525
Taxonomy Path: -1.1.13.8
Taxonomy Name:
Products with this tag: 13
Unique residual values tried: 6
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 | 7.025316 | -1.1.13.8 | -8.13.1.1 (-(8*79^3 + 13*79^2 + 79 + 1)) | Yes | |
| -50403 | 7.050633 | -1.6.8 | -8.6.1 (-(8*79^2 + 6*79 + 1)) | No | |
| 0 | 9.000000 | 0 | 0 (0) | No | |
| 1110978 | 11.000160 | 1.1.20.2 | 2.20.1.1 (2*79^3 + 20*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Swimwear > Boardshorts | No |
| 2047128 | 11.000160 | 1.1.12.4 | 4.12.1.1 (4*79^3 + 12*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Pants > Jeans | No |
| -8051050 | 12.000000 | -2.2.26.16 | -16.26.2.2 (-(16*79^3 + 26*79^2 + 2*79 + 2)) | No |
These are the training products that have the "90'S" tag (processing sequence 1984). 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 |
|---|---|---|---|---|---|---|---|
| 956 | Good 90'S Jeans | 2047128 | Apparel & Accessories > Clothing > Pants > Jeans | none | 6072653 | none | |
| 1478 | Black Gumball Board Shorts | 1110978 | Apparel & Accessories > Clothing > Swimwear > Boardshorts | none | 5136503 | ATHLETIC, SWIM, PANTS, APPAREL, LIFE, GAZZY BY GAZZO, BOTTOMS | |
| 10349 | 90's Baby Chain Gold Necklace | 0 | NECKLACE | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | |
| 5394 | Airbrush Bomb Zodiac Shirt Design | 0 | LETTERS | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | |
| 5437 | Airbrush Scorpio Szn Shirt Design | 0 | LETTERS | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | |
| 5466 | Airbrush King Flames Shirt Design | 0 | LETTERS | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | |
| 5450 | Airbrush 90's Neon Boombox Shirt Design | -50403 | LETTERS, NECKLACE | 3975122 | none | ||
| 5395 | Airbrush 90's Green Boombox Shirt Design | -50403 | LETTERS, NECKLACE | 3975122 | none | ||
| 5497 | Airbrush Hot Girl Shirt Design | -4025525 | LETTERS, T-SHIRT | 0 | none | ||
| 5501 | Airbrush Est. 1998 Shirt Design | -4025525 | LETTERS, T-SHIRT | 0 | none | ||
| 5500 | Airbrush Taurus Shirt Design | -4025525 | LETTERS, T-SHIRT | 0 | none | ||
| 5342 | Airbrush ZOA Shirt Design | -4025525 | LETTERS, T-SHIRT | 0 | none | ||
| 9488 | Airbrush Beyonce Renaissance Tour Shirt | -8051050 | LETTERS, CONCERT, T-SHIRT | -4025525 | HEARTS |