Fold 0 - Understanding why coefficient 4056730 was selected
Tag: STONE
Selected Coefficient: 4056730
Taxonomy Path: 1.1.18.8
Taxonomy Name: Apparel & Accessories > Clothing > Socks > Knee Socks
Products with this tag: 5
Unique residual values tried: 5
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? |
|---|---|---|---|---|---|
| 4056730 | 3.000160 | 1.1.18.8 | 8.18.1.1 (8*79^3 + 18*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Socks > Knee Socks | Yes |
| 78892561 | 3.000160 | 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 | 3.012658 | 0 | 0 (0) | No | |
| 1329254 | 3.012658 | 0.78.54.2 | 2.54.78.0 (2*79^3 + 54*79^2 + 78*79) | No | |
| -2316692 | 4.000000 | -17.16.55.4 | -4.55.16.17 (-(4*79^3 + 55*79^2 + 16*79 + 17)) | No |
These are the training products that have the "STONE" tag (processing sequence 3248). 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 |
|---|---|---|---|---|---|---|---|
| 11764 | Stone HC - Foundation Away Playing Shirt (Badgers only) | 78892561 | Apparel & Accessories > Clothing > Activewear > Activewear Tops > T-Shirts | none | 74835831 | none | |
| 11758 | Stone HC - Playing Socks (White) | 4056730 | Apparel & Accessories > Clothing > Socks > Knee Socks | none | 0 | none | |
| 9990 | Homemade Natural Mala Necklace | 1329254 | PINK, GREY, BEADS, HEALTH, QUARTZ | -2727476 | none | ||
| 10683 | Wild Chervil, Villandry Blue on Stone Zipper Pouch | 0 | ZIPPER | -4056730 | none | ||
| 2486 | Green Stone Cross Crystal Silver Earrings | -2316692 | EARRINGS, GOLD, CRYSTAL, GREEN, CROSS, FAITH | -6373422 | none |