Fold 2 - Understanding why coefficient -12012556145 was selected
Tag: ARTIST
Selected Coefficient: -12012556145
Taxonomy Path: -9.2.66.9.4.3
Taxonomy Name:
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? |
|---|---|---|---|---|---|
| -12012556145 | 4.000000 | -9.2.66.9.4.3 | -3.4.9.66.2.9 (-(3*83^5 + 4*83^4 + 9*83^3 + 66*83^2 + 2*83 + 9)) | Yes | |
| -8584610 | 4.000000 | -3.11.1.15 | -15.1.11.3 (-(15*83^3 + 6889 + 11*83 + 3)) | No | |
| -101 | 4.000000 | -18.1 | -1.18 (-(83 + 18)) | No | |
| 2920093 | 4.000000 | 70.72.8.5 | 5.8.72.70 (5*83^3 + 8*83^2 + 72*83 + 70) | No | |
| 522620390 | 4.000000 | 17.2.1.1.11 | 11.1.1.2.17 (11*83^4 + 571787 + 6889 + 2*83 + 17) | No |
These are the training products that have the "ARTIST" tag (processing sequence 6928). 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 |
|---|---|---|---|---|---|---|---|
| 23262 | STONED magazine #2 | 522620390 | EAST LONDON SHOPPING | 12535176535 | none | ||
| 31257 | Dots Robe | 2920093 | NOTIFY_STOCK | 12015476238 | none | ||
| 14027 | Bluebird Day Wallpaper | -101 | _FINAL-SALE, TOILE SHOP | 12012556044 | none | ||
| 31276 | Gift card | -8584610 | UNDER $100 | 12003971535 | none | ||
| 31129 | 10-Piece Travel Set | -12012556145 | SPONGE, MAKEUP | 0 | none |