Fold 1 - Understanding why coefficient 4025525 was selected
Tag: LARGE
Selected Coefficient: 4025525
Taxonomy Path: 1.1.13.8
Taxonomy Name: Apparel & Accessories > Clothing > Clothing Tops > T-Shirts
Products with this tag: 11
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 | 8.000160 | 1.1.13.8 | 8.13.1.1 (8*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | Yes |
| 25044 | 8.000320 | 1.1.4 | 4.1.1 (4*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Dresses | No |
| 0 | 9.000000 | 0 | 0 (0) | No | |
| 158764959 | 9.000002 | 2.2.1.6.4 | 4.6.1.2.2 (4*79^4 + 6*79^3 + 6241 + 2*79 + 2) | Animals & Pet Supplies > Pet Supplies > Bird Supplies > Bird Toys > Foraging Toys | No |
| 1485518 | 9.000002 | 2.2.1.3 | 3.1.2.2 (3*79^3 + 6241 + 2*79 + 2) | Animals & Pet Supplies > Pet Supplies > Bird Supplies > Bird Food | No |
| -113324158 | 9.000002 | -1.1.67.71.2 | -2.71.67.1.1 (-(2*79^4 + 71*79^3 + 67*79^2 + 79 + 1)) | No | |
| -113817197 | 9.000002 | -1.1.67.72.2 | -2.72.67.1.1 (-(2*79^4 + 72*79^3 + 67*79^2 + 79 + 1)) | No | |
| 6419 | 10.000000 | 20.2.1 | 1.2.20 (6241 + 2*79 + 20) | Religious & Ceremonial > Religious Items > Prayer Beads | No |
| -115895609 | 10.000000 | -2.3.5.77.2 | -2.77.5.3.2 (-(2*79^4 + 77*79^3 + 5*79^2 + 3*79 + 2)) | No |
These are the training products that have the "LARGE" tag (processing sequence 1884). 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 |
|---|---|---|---|---|---|---|---|
| 3897 | Woven Ball Foot Toy | 158764959 | Animals & Pet Supplies > Pet Supplies > Bird Supplies > Bird Toys > Foraging Toys | none | 154739434 | SHOP: FOOT TOYS | |
| 14168 | Storm Shirt | Large | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 14265 | Disco Stu Shirt | Large | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 3910 | ZuPreem - Natural - Parrots & Conures | 1485518 | Animals & Pet Supplies > Pet Supplies > Bird Supplies > Bird Food | none | -2540007 | SHOP: PARROT FOOD | |
| 11189 | Florence Ruched-Front Sleeveless Dress | 25044 | Apparel & Accessories > Clothing > Dresses | none | -4000481 | none | |
| 14100 | Large Rosary, Jasper Gemstone Beads, Gold St Benedict Cross | 6419 | Religious & Ceremonial > Religious Items > Prayer Beads | none | -4019106 | none | |
| 3822 | Square Woven Foot Toy | 0 | SMALL | -4025525 | SHOP: FOOT TOYS | ||
| 9206 | Ségur | 0 | GOLD, 22K | -4025525 | none | ||
| 14390 | Corset Hoodie | -113324158 | SMALL | -117349683 | none | ||
| 14358 | Ronan Open Knit Sweater | -113817197 | SMALL | -117842722 | ONE SIZE | ||
| 14383 | Theo Top | -115895609 | SMALL, FAIRE | -119921134 | 2022 |